Finite Group Databasebeta

← Group #13104219

Character table — Group #13104219

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11114444444444444444888820202020202020202020202020202020202020205050505050501111444444444444444488882020202020202020202020202020202020202020505050505050
order12445555101010102020202020202020510202024881010101020202020404040404040404024444422441010101010101010202020202020202010102020248810101010202020204040404040404040244444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511-1-111111111-1-1-1-1-1-1-1-111-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i-11ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i-11ii−i−i
χ611-1-111111111-1-1-1-1-1-1-1-111-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii-11−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii-11−i−iii
χ711-1-111111111-1-1-1-1-1-1-1-111-1-1-11i−i-1-1-1-11111iiii−i−i−i−i-11−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-1-11i−i-1-1-1-11111iiii−i−i−i−i-11−i−iii
χ811-1-111111111-1-1-1-1-1-1-1-111-1-1-11−ii-1-1-1-11111−i−i−i−iiiii-11ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-1-11−ii-1-1-1-11111−i−i−i−iiiii-11ii−i−i
χ922222222222222222222222200000000000000000000-2-2000022222222222222222222222200000000000000000000-2-20000
χ1022-2-222222222-2-2-2-2-2-2-2-222-2-2000000000000000000002-2000022-2-222222222-2-2-2-2-2-2-2-222-2-2000000000000000000002-20000
χ112-22i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i00000000000000000000001+i−1−i1−i−1+i2-22i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i00000000000000000000001+i−1−i1−i−1+i
χ122-22i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i0000000000000000000000−1−i1+i−1+i1−i2-22i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2-22i−2i0000000000000000000000−1−i1+i−1+i1−i
χ132-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i00000000000000000000001−i−1+i1+i−1−i2-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i00000000000000000000001−i−1+i1+i−1−i
χ142-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i0000000000000000000000−1+i1−i−1−i1+i2-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i2i0000000000000000000000−1+i1−i−1−i1+i
χ154444−1+5−1−53−523+52−1+5−1−53−523+523−523+523−523+52−1+5−1−5−1+5−1−5-1-1-1-12200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000004444−1+5−1−53−523+52−1+5−1−53−523+523−523+523−523+52−1+5−1−5−1+5−1−5-1-1-1-12200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ164444−1+5−1−53−523+52−1+5−1−53−523+523−523+523−523+52−1+5−1−5−1+5−1−5-1-1-1-1-2-2001−521−521+521+521−521−521+521+52000000000000004444−1+5−1−53−523+52−1+5−1−53−523+523−523+523−523+52−1+5−1−5−1+5−1−5-1-1-1-1-2-2001−521−521+521+521−521−521+521+5200000000000000
χ1744443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+523−523+52-1-1-1-1002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000044443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+523−523+52-1-1-1-1002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ1844443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+523−523+52-1-1-1-100-2-2000000001−521−521+521+521−521−521+521+5200000044443−523+52−1−5−1+53−523+52−1−5−1+5−1−5−1+5−1−5−1+53−523+523−523+52-1-1-1-100-2-2000000001−521−521+521+521−521−521+521+52000000
χ1944443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−523+523−52-1-1-1-1002200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000044443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−523+523−52-1-1-1-1002200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ2044443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−523+523−52-1-1-1-100-2-2000000001+521+521−521−521+521+521−521−5200000044443+523−52−1+5−1−53+523−52−1+5−1−5−1+5−1−5−1+5−1−53+523−523+523−52-1-1-1-100-2-2000000001+521+521−521−521+521+521−521−52000000
χ214444−1−5−1+53+523−52−1−5−1+53+523−523+523−523+523−52−1−5−1+5−1−5−1+5-1-1-1-12200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000004444−1−5−1+53+523−52−1−5−1+53+523−523+523−523+523−52−1−5−1+5−1−5−1+5-1-1-1-12200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ224444−1−5−1+53+523−52−1−5−1+53+523−523+523−523+523−52−1−5−1+5−1−5−1+5-1-1-1-1-2-2001+521+521−521−521+521+521−521−52000000000000004444−1−5−1+53+523−52−1−5−1+53+523−523+523−523+523−52−1−5−1+5−1−5−1+5-1-1-1-1-2-2001+521+521−521−521+521+521−521−5200000000000000
χ2344-4-4−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−52−3+52−3−521−51+51−51+5-1-1112-200−1+52−1+52−1−52−1−521−521−521+521+520000000000000044-4-4−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−52−3+52−3−521−51+51−51+5-1-1112-200−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2444-4-4−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−52−3+52−3−521−51+51−51+5-1-111-22001−521−521+521+52−1+52−1+52−1−52−1−520000000000000044-4-4−1+5−1−53−523+52−1+5−1−53−523+52−3+52−3−52−3+52−3−521−51+51−51+5-1-111-22001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2544-4-43−523+52−1−5−1+53−523+52−1−5−1+51+51−51+51−5−3+52−3−52−3+52−3−52-1-111002i−2i00000000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000044-4-43−523+52−1−5−1+53−523+52−1−5−1+51+51−51+51−5−3+52−3−52−3+52−3−52-1-111002i−2i00000000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000
χ2644-4-43−523+52−1−5−1+53−523+52−1−5−1+51+51−51+51−5−3+52−3−52−3+52−3−52-1-11100−2i2i00000000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000044-4-43−523+52−1−5−1+53−523+52−1−5−1+51+51−51+51−5−3+52−3−52−3+52−3−52-1-11100−2i2i00000000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000
χ2744-4-43+523−52−1+5−1−53+523−52−1+5−1−51−51+51−51+5−3−52−3+52−3−52−3+52-1-111002i−2i00000000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000044-4-43+523−52−1+5−1−53+523−52−1+5−1−51−51+51−51+5−3−52−3+52−3−52−3+52-1-111002i−2i00000000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000
χ2844-4-43+523−52−1+5−1−53+523−52−1+5−1−51−51+51−51+5−3−52−3+52−3−52−3+52-1-11100−2i2i00000000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000044-4-43+523−52−1+5−1−53+523−52−1+5−1−51−51+51−51+5−3−52−3+52−3−52−3+52-1-11100−2i2i00000000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000
χ2944-4-4−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+52−3−52−3+521+51−51+51−5-1-1112-200−1−52−1−52−1+52−1+521+521+521−521−520000000000000044-4-4−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+52−3−52−3+521+51−51+51−5-1-1112-200−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3044-4-4−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+52−3−52−3+521+51−51+51−5-1-111-22001+521+521−521−52−1−52−1−52−1+52−1+520000000000000044-4-4−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+52−3−52−3+521+51−51+51−5-1-111-22001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ314-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000004-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ324-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000004-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ334-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ390000004-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000
χ344-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ390000004-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000
χ354-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ230000004-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000
χ364-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ230000004-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000
χ374-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000004-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ384-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000004-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ394-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000004-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ404-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000004-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
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χ8044-4-4−1−5−1+53+523−52−1−5−1+53+523−52−3−52−3+52−3−52−3+521+51−51+51−5-1-111-22001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000-4-4441+51−5−3−52−3+521+51−5−3−52−3+523+523−523+523−52−1−5−1+5−1−5−1+511-1-12-200−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ814-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000-44−4i4i1−51+5−3+52−3−52−1+5−1−53−523+52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ141-1i−i0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ824-44i−4i−1+5−1−53−523+521−51+5−3+52−3−52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14-11−ii0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000-44−4i4i1−51+5−3+52−3−52−1+5−1−53−523+52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ141-1i−i0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ834-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000-44−4i4i−3+52−3−521+51−53−523+52−1−5−1+52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ381-1i−i000000000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000
χ844-44i−4i3−523+52−1−5−1+5−3+52−3−521+51−5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38-11−ii000000000000ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39000000-44−4i4i−3+52−3−521+51−53−523+52−1−5−1+52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ381-1i−i000000000000−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39000000
χ854-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000-44−4i4i−3−52−3+521−51+53+523−52−1+5−1−52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ381-1i−i000000000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000
χ864-44i−4i3+523−52−1+5−1−5−3−52−3+521−51+5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38-11−ii000000000000ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23000000-44−4i4i−3−52−3+521−51+53+523−52−1+5−1−52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ381-1i−i000000000000−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23000000
χ874-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000-44−4i4i1+51−5−3−52−3+52−1−5−1+53+523−52−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ381-1i−i0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ884-44i−4i−1−5−1+53+523−521+51−5−3−52−3+522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-11−ii0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000-44−4i4i1+51−5−3−52−3+52−1−5−1+53+523−52−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ381-1i−i0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ894-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000-444i−4i1−51+5−3+52−3−52−1+5−1−53−523+52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ141-1−ii0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ904-4−4i4i−1+5−1−53−523+521−51+5−3+52−3−52−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-11i−i0000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000-444i−4i1−51+5−3+52−3−52−1+5−1−53−523+52ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ141-1−ii0000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ914-4−4i4i3−523+52−1−5−1+5−3+52−3−521+51−52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38-11i−i000000000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000000-444i−4i−3+52−3−521+51−53−523+52−1−5−1+5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ381-1−ii000000000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000000
χ924-4−4i4i3−523+52−1−5−1+5−3+52−3−521+51−52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38-11i−i000000000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29000000-444i−4i−3+52−3−521+51−53−523+52−1−5−1+5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ381-1−ii000000000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29000000
χ934-4−4i4i3+523−52−1+5−1−5−3−52−3+521−51+52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38-11i−i000000000000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000000-444i−4i−3−52−3+521−51+53+523−52−1+5−1−5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ381-1−ii000000000000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000000
χ944-4−4i4i3+523−52−1+5−1−5−3−52−3+521−51+52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38-11i−i000000000000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37000000-444i−4i−3−52−3+521−51+53+523−52−1+5−1−5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ381-1−ii000000000000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37000000
χ954-4−4i4i−1−5−1+53+523−521+51−5−3−52−3+52−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38-11i−i0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000-444i−4i1+51−5−3−52−3+52−1−5−1+53+523−522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ381-1−ii0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ964-4−4i4i−1−5−1+53+523−521+51−5−3−52−3+52−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38-11i−i0000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000-444i−4i1+51−5−3−52−3+52−1−5−1+53+523−522ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ381-1−ii0000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ978888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2333300000000000000000000000000-8-8-8-82222222222222222-3-3-3-300000000000000000000000000
χ9888-8-8-2-2-2-2-2-2-2-22222222233-3-300000000000000000000000000-8-88822222222-2-2-2-2-2-2-2-2-3-33300000000000000000000000000
χ998-88i−8i-2-2-2-22222−2i−2i2i2i−2i−2i2i2i3-33i−3i00000000000000000000000000-88−8i8i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i-33−3i3i00000000000000000000000000
χ1008-8−8i8i-2-2-2-222222i2i−2i−2i2i2i−2i−2i3-3−3i3i00000000000000000000000000-888i−8i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-333i−3i00000000000000000000000000

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