Finite Group Databasebeta

← Group #13104228

Character table — Group #13104228

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11111111444444444444444444444444444444448888888820202020202020202020202020202020202020202020202020202020202020202020202020202020505050505050505050505050
order12224444555510101010101010101010101020202020202020202020202020202020510101020202020444444442020202020202020202020202020202020202020202020202020202020202020224488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ71111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ81111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ91-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1i−ii−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-111-1-1
χ101-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1i−ii−i−ii−iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-11-1-111-1-111
χ111-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1−ii−iii−ii−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-11-1-111-1-111
χ121-1-1111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1−ii−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-111-1-1
χ131-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1-1-111
χ141-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-11111-1-1
χ151-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-11-1-11111-1-1
χ161-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1-1-111
χ172222222222222222222222222222222222222222222222220000000000000000000000000000000000000000-2-2-2-200000000
χ182222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ1922-2-22i−2i2i−2i2222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-22i−2i2i−2i000000000000000000000000000000000000000000002−22−2i2−i2i2−i2
χ2022-2-22i−2i2i−2i2222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-22i−2i2i−2i00000000000000000000000000000000000000000000−22−22−i2i2−i2i2
χ2122-2-2−2i2i−2i2i2222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i−2i2i000000000000000000000000000000000000000000002−22−2−i2i2−i2i2
χ2222-2-2−2i2i−2i2i2222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i−2i2i00000000000000000000000000000000000000000000−22−22i2−i2i2−i2
χ232-22-22i−2i−2i2i2222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-22-22i−2i−2i2i000000000000000000000000000000000000000000002−2−22i2−i2−i2i2
χ242-22-22i−2i−2i2i2222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-22-22i−2i−2i2i00000000000000000000000000000000000000000000−222−2−i2i2i2−i2
χ252-22-2−2i2i2i−2i2222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-22-2−2i2i2i−2i000000000000000000000000000000000000000000002−2−22−i2i2i2−i2
χ262-22-2−2i2i2i−2i2222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-22-2−2i2i2i−2i00000000000000000000000000000000000000000000−222−2i2−i2−i2i2
χ272-2-2222-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22-2-2222-2-20000000000000000000000000000000000000000-222-200000000
χ282-2-22-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-22-2-22200000000000000000000000000000000000000002-22-200000000
χ2944444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-1-1-1-1-1000022220000000000000000−1+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
χ3044444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-1-1-1-1-10000-2-2-2-200000000000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ31444444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1-1-1-1-122220000−1+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+52−1−52−1−520000000000000000000000000000
χ32444444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1-1-1-1-1-2-2-2-200001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000000000000
χ33444444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1-1-1-1-122220000−1−52−1−52−1+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+520000000000000000000000000000
χ34444444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1-1-1-1-1-2-2-2-200001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000
χ3544444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-1-1-1-1-1000022220000000000000000−1−52−1−52−1+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
χ3644444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-1-1-1-1-10000-2-2-2-200000000000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ374444-4-4-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+5-1-1-1-11111000022-2-20000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ384444-4-4-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+5-1-1-1-111110000-2-22200000000000000001−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ394444-4-4-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52-1-1-1-1111122-2-20000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000000000000
χ404444-4-4-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52-1-1-1-11111-2-22200001−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000
χ414444-4-4-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52-1-1-1-1111122-2-20000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000000000
χ424444-4-4-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52-1-1-1-11111-2-22200001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000
χ434444-4-4-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−5-1-1-1-11111000022-2-20000000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ444444-4-4-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−5-1-1-1-111110000-2-22200000000000000001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ4544-4-44i−4i4i−4i−1+53−523+52−1−51−5−3+52−3−521+5−1+53−523+52−1−51−5−3+52−3−521+5−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14-1-111−ii−ii000000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ4644-4-44i−4i4i−4i−1+53−523+52−1−51−5−3+52−3−521+5−1+53−523+52−1−51−5−3+52−3−521+5−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14-1-111−ii−ii000000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ4744-4-44i−4i4i−4i3−52−1−5−1+53+52−3+521+51−5−3−523−52−1−5−1+53+52−3+521+51−5−3−52ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−ii−ii00000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000000000000000
χ4844-4-44i−4i4i−4i3−52−1−5−1+53+52−3+521+51−5−3−523−52−1−5−1+53+52−3+521+51−5−3−52ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38-1-111−ii−ii00000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000000000000000
χ4944-4-44i−4i4i−4i3+52−1+5−1−53−52−3−521−51+5−3+523+52−1+5−1−53−52−3−521−51+5−3+522ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38-1-111−ii−ii00000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000000000000000000
χ5044-4-44i−4i4i−4i3+52−1+5−1−53−52−3−521−51+5−3+523+52−1+5−1−53−52−3−521−51+5−3+522ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38-1-111−ii−ii00000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000000000000000000
χ5144-4-44i−4i4i−4i−1−53+523−52−1+51+5−3−52−3+521−5−1−53+523−52−1+51+5−3−52−3+521−5−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38-1-111−ii−ii000000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
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χ744-44-4−4i4i4i−4i3+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+523+52−1+5−1−53−52−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38-11-11i−i−ii00000000−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ280000000000000000000000000000
χ754-44-4−4i4i4i−4i−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+52ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38-11-11i−i−ii000000000000000000000000ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ764-44-4−4i4i4i−4i−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+52ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38-11-11i−i−ii000000000000000000000000−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ774-4-4444-4-4−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-111-1-1-11100002i−2i2i−2i0000000000000000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ784-4-4444-4-4−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-111-1-1-1110000−2i2i−2i2i0000000000000000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ794-4-4444-4-43−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−523−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-111-1-1-1112i−2i2i−2i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000000000000000
χ804-4-4444-4-43−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−523−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-111-1-1-111−2i2i−2i2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000000000000000
χ814-4-4444-4-43+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+523+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-111-1-1-1112i−2i2i−2i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000000000000000
χ824-4-4444-4-43+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+523+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-111-1-1-111−2i2i−2i2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000000000000000
χ834-4-4444-4-4−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-111-1-1-11100002i−2i2i−2i0000000000000000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ844-4-4444-4-4−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-111-1-1-1110000−2i2i−2i2i0000000000000000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ854-4-44-4-444−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+5−1+53−523+52−1−5−1+53−523+52−1−5-111-111-1-100002i−2i−2i2i0000000000000000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000
χ864-4-44-4-444−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+51−5−3+52−3−521+5−1+53−523+52−1−5−1+53−523+52−1−5-111-111-1-10000−2i2i2i−2i0000000000000000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000
χ874-4-44-4-4443−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−523−52−1−5−1+53+523−52−1−5−1+53+52-111-111-1-12i−2i−2i2i0000−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000000000000000
χ884-4-44-4-4443−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−52−3+521+51−5−3−523−52−1−5−1+53+523−52−1−5−1+53+52-111-111-1-1−2i2i2i−2i0000ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000000000000000
χ894-4-44-4-4443+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+523+52−1+5−1−53−523+52−1+5−1−53−52-111-111-1-12i−2i−2i2i0000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000000000000000
χ904-4-44-4-4443+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+52−3−521−51+5−3+523+52−1+5−1−53−523+52−1+5−1−53−52-111-111-1-1−2i2i2i−2i0000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000000000000000
χ914-4-44-4-444−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+5−1−53+523−52−1+5-111-111-1-100002i−2i−2i2i0000000000000000−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000
χ924-4-44-4-444−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−51+5−3−52−3+521−5−1−53+523−52−1+5−1−53+523−52−1+5-111-111-1-10000−2i2i2i−2i0000000000000000ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000
χ9388888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2333333330000000000000000000000000000000000000000000000000000
χ948888-8-8-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222223333-3-3-3-30000000000000000000000000000000000000000000000000000
χ9588-8-88i−8i8i−8i-2-2-2-22222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i33-3-33i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ9688-8-8−8i8i−8i8i-2-2-2-22222-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i33-3-3−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ978-88-88i−8i−8i8i-2-2-2-222222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i3-33-33i−3i−3i3i0000000000000000000000000000000000000000000000000000
χ988-88-8−8i8i8i−8i-2-2-2-222222222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i3-33-3−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ998-8-8888-8-8-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222223-3-3333-3-30000000000000000000000000000000000000000000000000000
χ1008-8-88-8-888-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-23-3-33-3-3330000000000000000000000000000000000000000000000000000

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