Finite Group Databasebeta

← Group #13030196

Character table — Group #13030196

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111114444444444888888888888881010101010101010202020202020202020202020202020204040111111114444444444888888888888881010101010101010202020202020202020202020202020204040
order12224444445101010202020202410101010202020202020202022444444444444448888888824222244444410101010202020202410101010202020202020202022444444444444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-111111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-11
χ101111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-111111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11
χ111111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-11111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1
χ121111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-11111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1
χ131111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-11111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-1
χ141111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-11-11111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-11-1
χ151111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-111111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-11
χ161111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-111111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-11
χ1722222222-2-222222222000000-2-2-2-2000022-2-222-2-200000000000000000022222222-2-222222222000000-2-2-2-2000022-2-222-2-2000000000000000000
χ1822222222-2-222222222000000-2-2-2-20000-2-222-2-22200000000000000000022222222-2-222222222000000-2-2-2-20000-2-222-2-222000000000000000000
χ192222-2-2-2-2-222222-2-2-2-2000000-2-22200002222-2-2-2-20000000000000000002222-2-2-2-2-222222-2-2-2-2000000-2-22200002222-2-2-2-2000000000000000000
χ202222-2-2-2-2-222222-2-2-2-2000000-2-2220000-2-2-2-222220000000000000000002222-2-2-2-2-222222-2-2-2-2000000-2-2220000-2-2-2-22222000000000000000000
χ2122-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000022-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000
χ2222-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000022-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000
χ2322-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i000000000022-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000
χ2422-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000000022-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000
χ2522-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000022-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000
χ2622-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000022-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000
χ2722-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i000000000022-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000
χ2822-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000000022-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000
χ292-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000i2−i2i2−i2i2−i2i2−i2002-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000i2−i2i2−i2i2−i2i2−i200
χ302-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000−i2i2−i2i2−i2i2−i2i2002-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000−i2i2−i2i2−i2i2−i2i200
χ312-2-222-22-2002-2-222-22-200000000000000-2200-2200000000002−22−2−22−22002-2-222-22-2002-2-222-22-200000000000000-2200-2200000000002−22−2−22−2200
χ322-2-222-22-2002-2-222-22-200000000000000-2200-220000000000−22−222−22−2002-2-222-22-2002-2-222-22-200000000000000-2200-220000000000−22−222−22−200
χ332-2-22-22-22002-2-22-22-22000000000000002-200-220000000000i2−i2−i2i2i2−i2−i2i2002-2-22-22-22002-2-22-22-22000000000000002-200-220000000000i2−i2−i2i2i2−i2−i2i200
χ342-2-22-22-22002-2-22-22-22000000000000002-200-220000000000−i2i2i2−i2−i2i2i2−i2002-2-22-22-22002-2-22-22-22000000000000002-200-220000000000−i2i2i2−i2−i2i2i2−i200
χ352-2-22-22-22002-2-22-22-2200000000000000-22002-200000000002−2−22−222−2002-2-22-22-22002-2-22-22-2200000000000000-22002-200000000002−2−22−222−200
χ362-2-22-22-22002-2-22-22-2200000000000000-22002-20000000000−222−22−2−22002-2-22-22-22002-2-22-22-2200000000000000-22002-20000000000−222−22−2−2200
χ374444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000004444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444-1-1-1-1-1-1-1-1-4-41111-1-1-1-11111000000000000000000000000004444444444-1-1-1-1-1-1-1-1-4-41111-1-1-1-1111100000000000000000000000000
χ3944444444-4-4-1-1-1-1-1-1-1-10055−5−5111155−5−50000000000000000000000000044444444-4-4-1-1-1-1-1-1-1-10055−5−5111155−5−500000000000000000000000000
χ4044444444-4-4-1-1-1-1-1-1-1-100−5−5551111−5−5550000000000000000000000000044444444-4-4-1-1-1-1-1-1-1-100−5−5551111−5−55500000000000000000000000000
χ414444-4-4-4-44-4-1-1-1-111114-4-1-1-1-1-1-1111111000000000000000000000000004444-4-4-4-44-4-1-1-1-111114-4-1-1-1-1-1-111111100000000000000000000000000
χ424444-4-4-4-44-4-1-1-1-11111-441111-1-111-1-1-1-1000000000000000000000000004444-4-4-4-44-4-1-1-1-11111-441111-1-111-1-1-1-100000000000000000000000000
χ434444-4-4-4-4-44-1-1-1-111110055−5−511-1-1−5−555000000000000000000000000004444-4-4-4-4-44-1-1-1-111110055−5−511-1-1−5−55500000000000000000000000000
χ444444-4-4-4-4-44-1-1-1-1111100−5−55511-1-155−5−5000000000000000000000000004444-4-4-4-4-44-1-1-1-1111100−5−55511-1-155−5−500000000000000000000000000
χ454-44-44i−4i−4i4i004-44-44i−4i−4i4i00000000000000000000000000000000000000004-44-44i−4i−4i4i004-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ464-44-44i−4i−4i4i00-11-11−iii−i00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38000000000000000000000000004-44-44i−4i−4i4i00-11-11−iii−i00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000
χ474-44-44i−4i−4i4i00-11-11−iii−i00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38000000000000000000000000004-44-44i−4i−4i4i00-11-11−iii−i00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000
χ484-44-44i−4i−4i4i00-11-11−iii−i00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38000000000000000000000000004-44-44i−4i−4i4i00-11-11−iii−i00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000
χ494-44-44i−4i−4i4i00-11-11−iii−i00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−55−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38000000000000000000000000004-44-44i−4i−4i4i00-11-11−iii−i00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−55−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000
χ504-44-4−4i4i4i−4i004-44-4−4i4i4i−4i00000000000000000000000000000000000000004-44-4−4i4i4i−4i004-44-4−4i4i4i−4i0000000000000000000000000000000000000000
χ514-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38000000000000000000000000004-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000
χ524-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38000000000000000000000000004-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000
χ534-44-4−4i4i4i−4i00-11-11i−i−ii00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38000000000000000000000000004-44-4−4i4i4i−4i00-11-11i−i−ii00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000
χ544-44-4−4i4i4i−4i00-11-11i−i−ii00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−55i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38000000000000000000000000004-44-4−4i4i4i−4i00-11-11i−i−ii00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−55i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000
χ5588-8-88i8i−8i−8i00-2-222−2i−2i2i2i000000000000000000000000000000000000000088-8-88i8i−8i−8i00-2-222−2i−2i2i2i0000000000000000000000000000000000000000
χ5688-8-8−8i−8i8i8i00-2-2222i2i−2i−2i000000000000000000000000000000000000000088-8-8−8i−8i8i8i00-2-2222i2i−2i−2i0000000000000000000000000000000000000000
χ578-8-888-88-800-222-2-22-2200000000000000000000000000000000000000008-8-888-88-800-222-2-22-220000000000000000000000000000000000000000
χ588-8-88-88-8800-222-22-22-200000000000000000000000000000000000000008-8-88-88-8800-222-22-22-20000000000000000000000000000000000000000
χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii11
χ6211111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i11
χ63111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ64111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ65111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1
χ66111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1
χ671111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-1-1-11111-11-1-1-1-11111-11-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-1111-1
χ681111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-1-1-1-11111-11-1-1-1-11111-11-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-111-1-111-1-11-1
χ691111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-1-1-1-11111-11-1-1-1-11111-11-1-1-1-1-1-111111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-11
χ701111-1-1-1-11-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-1-1-1-11111-11-1-1-1-11111-11-1-1-1-1-1-111111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-11
χ711111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1-1-1-11111-11-1-1-1-111111-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11
χ721111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-11-1-1-1-1-11111-11-1-1-1-111111-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11
χ731111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-11-1-1-1-11111-11-1-1-1-111111-11111-1-111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1
χ741111-1-1-1-11-11111-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-11-1-1-1-11111-11-1-1-1-111111-11111-1-111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1
χ7522222222-2-222222222000000-2-2-2-2000022-2-222-2-2000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-200000022220000-2-222-2-222000000000000000000
χ7622222222-2-222222222000000-2-2-2-20000-2-222-2-222000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000002222000022-2-222-2-2000000000000000000
χ772222-2-2-2-2-222222-2-2-2-2000000-2-22200002222-2-2-2-2000000000000000000-2-2-2-222222-2-2-2-2-2222200000022-2-20000-2-2-2-22222000000000000000000
χ782222-2-2-2-2-222222-2-2-2-2000000-2-2220000-2-2-2-22222000000000000000000-2-2-2-222222-2-2-2-2-2222200000022-2-200002222-2-2-2-2000000000000000000
χ7922-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000-2-222−2i−2i2i2i00-2-222−2i−2i2i2i0000000000000000-2200−2i2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000
χ8022-2-22i2i−2i−2i0022-2-22i2i−2i−2i00000000000000002-2002i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000-2-222−2i−2i2i2i00-2-222−2i−2i2i2i0000000000000000-2200−2i2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000
χ8122-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000-2-222−2i−2i2i2i00-2-222−2i−2i2i2i00000000000000002-2002i−2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000
χ8222-2-22i2i−2i−2i0022-2-22i2i−2i−2i0000000000000000-2200−2i2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000-2-222−2i−2i2i2i00-2-222−2i−2i2i2i00000000000000002-2002i−2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000
χ8322-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000-2-2222i2i−2i−2i00-2-2222i2i−2i−2i0000000000000000-22002i−2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000
χ8422-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i00000000000000002-200−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000-2-2222i2i−2i−2i00-2-2222i2i−2i−2i0000000000000000-22002i−2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000
χ8522-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000-2-2222i2i−2i−2i00-2-2222i2i−2i−2i00000000000000002-200−2i2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000
χ8622-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0000000000000000-22002i−2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000-2-2222i2i−2i−2i00-2-2222i2i−2i−2i00000000000000002-200−2i2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000
χ872-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000i2−i2i2−i2i2−i2i2−i200-222-2-22-2200-222-2-22-2200000000000000-2200-220000000000−i2i2−i2i2−i2i2−i2i200
χ882-2-222-22-2002-2-222-22-2000000000000002-2002-20000000000−i2i2−i2i2−i2i2−i2i200-222-2-22-2200-222-2-22-2200000000000000-2200-220000000000i2−i2i2−i2i2−i2i2−i200
χ892-2-222-22-2002-2-222-22-200000000000000-2200-2200000000002−22−2−22−2200-222-2-22-2200-222-2-22-22000000000000002-2002-20000000000−22−222−22−200
χ902-2-222-22-2002-2-222-22-200000000000000-2200-220000000000−22−222−22−200-222-2-22-2200-222-2-22-22000000000000002-2002-200000000002−22−2−22−2200
χ912-2-22-22-22002-2-22-22-22000000000000002-200-220000000000i2−i2−i2i2i2−i2−i2i200-222-22-22-200-222-22-22-200000000000000-22002-20000000000−i2i2i2−i2−i2i2i2−i200
χ922-2-22-22-22002-2-22-22-22000000000000002-200-220000000000−i2i2i2−i2−i2i2i2−i200-222-22-22-200-222-22-22-200000000000000-22002-20000000000i2−i2−i2i2i2−i2−i2i200
χ932-2-22-22-22002-2-22-22-2200000000000000-22002-200000000002−2−22−222−200-222-22-22-200-222-22-22-2000000000000002-200-220000000000−222−22−2−2200
χ942-2-22-22-22002-2-22-22-2200000000000000-22002-20000000000−222−22−2−2200-222-22-22-200-222-22-22-2000000000000002-200-2200000000002−2−22−222−200
χ954444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-4-4-4-4-4-4-4-4-4-411111111-4-411111111111100000000000000000000000000
χ964444444444-1-1-1-1-1-1-1-1-4-41111-1-1-1-1111100000000000000000000000000-4-4-4-4-4-4-4-4-4-41111111144-1-1-1-11111-1-1-1-100000000000000000000000000
χ9744444444-4-4-1-1-1-1-1-1-1-10055−5−5111155−5−500000000000000000000000000-4-4-4-4-4-4-4-4441111111100−5−555-1-1-1-1−5−55500000000000000000000000000
χ9844444444-4-4-1-1-1-1-1-1-1-100−5−5551111−5−55500000000000000000000000000-4-4-4-4-4-4-4-444111111110055−5−5-1-1-1-155−5−500000000000000000000000000
χ994444-4-4-4-44-4-1-1-1-111114-4-1-1-1-1-1-111111100000000000000000000000000-4-4-4-44444-441111-1-1-1-1-44111111-1-1-1-1-1-100000000000000000000000000
χ1004444-4-4-4-44-4-1-1-1-11111-441111-1-111-1-1-1-100000000000000000000000000-4-4-4-44444-441111-1-1-1-14-4-1-1-1-111-1-1111100000000000000000000000000
χ1014444-4-4-4-4-44-1-1-1-111110055−5−511-1-1−5−55500000000000000000000000000-4-4-4-444444-41111-1-1-1-100−5−555-1-11155−5−500000000000000000000000000
χ1024444-4-4-4-4-44-1-1-1-1111100−5−55511-1-155−5−500000000000000000000000000-4-4-4-444444-41111-1-1-1-10055−5−5-1-111−5−55500000000000000000000000000
χ1034-44-44i−4i−4i4i004-44-44i−4i−4i4i0000000000000000000000000000000000000000-44-44−4i4i4i−4i00-44-44−4i4i4i−4i0000000000000000000000000000000000000000
χ1044-44-44i−4i−4i4i00-11-11−iii−i00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000-44-44−4i4i4i−4i001-11-1i−i−ii00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−55−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000
χ1054-44-44i−4i−4i4i00-11-11−iii−i00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000-44-44−4i4i4i−4i001-11-1i−i−ii00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ365−5i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000
χ1064-44-44i−4i−4i4i00-11-11−iii−i00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000-44-44−4i4i4i−4i001-11-1i−i−ii00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−55−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000
χ1074-44-44i−4i−4i4i00-11-11−iii−i00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−55−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000-44-44−4i4i4i−4i001-11-1i−i−ii00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ365−5i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000
χ1084-44-4−4i4i4i−4i004-44-4−4i4i4i−4i0000000000000000000000000000000000000000-44-444i−4i−4i4i00-44-444i−4i−4i4i0000000000000000000000000000000000000000
χ1094-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ365−5−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000-44-444i−4i−4i4i001-11-1−iii−i00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−55i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000
χ1104-44-4−4i4i4i−4i00-11-11i−i−ii00−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−55i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000-44-444i−4i−4i4i001-11-1−iii−i00ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ365−5−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000
χ1114-44-4−4i4i4i−4i00-11-11i−i−ii00ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ365−5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000-44-444i−4i−4i4i001-11-1−iii−i00−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−55i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000
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χ11388-8-88i8i−8i−8i00-2-222−2i−2i2i2i0000000000000000000000000000000000000000-8-888−8i−8i8i8i0022-2-22i2i−2i−2i0000000000000000000000000000000000000000
χ11488-8-8−8i−8i8i8i00-2-2222i2i−2i−2i0000000000000000000000000000000000000000-8-8888i8i−8i−8i0022-2-2−2i−2i2i2i0000000000000000000000000000000000000000
χ1158-8-888-88-800-222-2-22-220000000000000000000000000000000000000000-888-8-88-88002-2-222-22-20000000000000000000000000000000000000000
χ1168-8-88-88-8800-222-22-22-20000000000000000000000000000000000000000-888-88-88-8002-2-22-22-220000000000000000000000000000000000000000

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