Finite Group Databasebeta

← Group #13016473

Character table — Group #13016473

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222444444444444455558888888888881010101020202020202020202020202020404040401111222244444444444445555888888888888101010102020202020202020202020202040404040
order12222244444445101010101010104444202020202020202020202020444444444888888888888222222444444410101010101010104444202020202020202020202020444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ6111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−iii−i−iii−i−i1-11-11111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−i−i−iii−i−iii-11-111111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii11-1-1-1-111−iii−i1111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii11-1-1-1-111−iii−i
χ121111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii-1-11111-1-1i−i−ii1111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii-1-11111-1-1i−i−ii
χ131111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iiiii−i−iii−i−i-11-111111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iiiii−i−iii−i−i-11-11
χ141111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iii−i−iii−i−iii1-11-11111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iii−i−iii−i−iii1-11-1
χ151111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i11-1-1-1-111i−i−ii1111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i11-1-1-1-111i−i−ii
χ161111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i-1-11111-1-1−iii−i1111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i-1-11111-1-1−iii−i
χ17222222-2-2-20000222222222222-2-2-2-20000000022-2-2-20000000000000000222222-2-2-20000222222222222-2-2-2-20000000022-2-2-20000000000000000
χ18222222-2-2-2000022222222-2-2-2-2-2-2-2-200000000-2-22220000000000000000222222-2-2-2000022222222-2-2-2-2-2-2-2-200000000-2-22220000000000000000
χ192222-2-222-20000222-2-22-2-22222-2-22200000000-2-222-200000000000000002222-2-222-20000222-2-22-2-22222-2-22200000000-2-222-20000000000000000
χ202222-2-222-20000222-2-22-2-2-2-2-2-2-2-2220000000022-2-2200000000000000002222-2-222-20000222-2-22-2-2-2-2-2-2-2-2220000000022-2-220000000000000000
χ212-22-2002i−2i01+i−1−i1−i−1+i22-200-2002i−2i2i−2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-201−i−1+i1+i−1−i0000000000002-22-2002i−2i01+i−1−i1−i−1+i22-200-2002i−2i2i−2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-201−i−1+i1+i−1−i000000000000
χ222-22-2002i−2i01+i−1−i1−i−1+i22-200-200−2i2i−2i2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-220−1+i1−i−1−i1+i0000000000002-22-2002i−2i01+i−1−i1−i−1+i22-200-200−2i2i−2i2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-220−1+i1−i−1−i1+i000000000000
χ232-22-2002i−2i0−1−i1+i−1+i1−i22-200-2002i−2i2i−2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-20−1+i1−i−1−i1+i0000000000002-22-2002i−2i0−1−i1+i−1+i1−i22-200-2002i−2i2i−2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-20−1+i1−i−1−i1+i000000000000
χ242-22-2002i−2i0−1−i1+i−1+i1−i22-200-200−2i2i−2i2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-2201−i−1+i1+i−1−i0000000000002-22-2002i−2i0−1−i1+i−1+i1−i22-200-200−2i2i−2i2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-2201−i−1+i1+i−1−i000000000000
χ252-22-200−2i2i01−i−1+i1+i−1−i22-200-2002i−2i2i−2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-220−1−i1+i−1+i1−i0000000000002-22-200−2i2i01−i−1+i1+i−1−i22-200-2002i−2i2i−2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-220−1−i1+i−1+i1−i000000000000
χ262-22-200−2i2i01−i−1+i1+i−1−i22-200-200−2i2i−2i2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-201+i−1−i1−i−1+i0000000000002-22-200−2i2i01−i−1+i1+i−1−i22-200-200−2i2i−2i2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-201+i−1−i1−i−1+i000000000000
χ272-22-200−2i2i0−1+i1−i−1−i1+i22-200-2002i−2i2i−2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-2201+i−1−i1−i−1+i0000000000002-22-200−2i2i0−1+i1−i−1−i1+i22-200-2002i−2i2i−2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-2201+i−1−i1−i−1+i000000000000
χ282-22-200−2i2i0−1+i1−i−1−i1+i22-200-200−2i2i−2i2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-20−1−i1+i−1+i1−i0000000000002-22-200−2i2i0−1+i1−i−1−i1+i22-200-200−2i2i−2i2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-20−1−i1+i−1+i1−i000000000000
χ292-2-222-200000002-2222-2-2-222-2-20000000000002-200000002−22−22−22−200002-2-222-200000002-2222-2-2-222-2-20000000000002-200000002−22−22−22−20000
χ302-2-222-200000002-2222-2-2-222-2-20000000000002-20000000−22−22−22−2200002-2-222-200000002-2222-2-2-222-2-20000000000002-20000000−22−22−22−220000
χ312-2-222-200000002-2222-2-2-2-2-222000000000000-220000000i2−i2i2−i2−i2i2−i2i200002-2-222-200000002-2222-2-2-2-2-222000000000000-220000000i2−i2i2−i2−i2i2−i2i20000
χ322-2-222-200000002-2222-2-2-2-2-222000000000000-220000000−i2i2−i2i2i2−i2i2−i200002-2-222-200000002-2222-2-2-2-2-222000000000000-220000000−i2i2−i2i2i2−i2i2−i20000
χ332-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000i2−i2−i2i2i2−i2−i2i200002-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000−i2i2i2−i2−i2i2i2−i200002-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-2200000002-22-2-2-222-2-2220000000000002-200000002−2−22−222−200002-2-22-2200000002-22-2-2-222-2-2220000000000002-200000002−2−22−222−20000
χ362-2-22-2200000002-22-2-2-222-2-2220000000000002-20000000−222−22−2−2200002-2-22-2200000002-22-2-2-222-2-2220000000000002-20000000−222−22−2−220000
χ374444444444444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000004444444444444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ38444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-1-111111111000000000000000000000444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-1-111111111000000000000000000000
χ39444444-4-4-40000-1-1-1-1-1-1-1-1000011115−55−55−55−5000000000000000000000444444-4-4-40000-1-1-1-1-1-1-1-1000011115−55−55−55−5000000000000000000000
χ40444444-4-4-40000-1-1-1-1-1-1-1-100001111−55−55−55−55000000000000000000000444444-4-4-40000-1-1-1-1-1-1-1-100001111−55−55−55−55000000000000000000000
χ414444-4-444-40000-1-1-111-111000011-1-1i5−i5i5−i5−i5i5−i5i50000000000000000000004444-4-444-40000-1-1-111-111000011-1-1i5−i5i5−i5−i5i5−i5i5000000000000000000000
χ424444-4-444-40000-1-1-111-111000011-1-1−i5i5−i5i5i5−i5i5−i50000000000000000000004444-4-444-40000-1-1-111-111000011-1-1−i5i5−i5i5i5−i5i5−i5000000000000000000000
χ434444-4-4-4-444i4i−4i−4i-1-1-111-1110000-1-111−i−i−i−iiiii0000000000000000000004444-4-4-4-444i4i−4i−4i-1-1-111-1110000-1-111−i−i−i−iiiii000000000000000000000
χ444444-4-4-4-44−4i−4i4i4i-1-1-111-1110000-1-111iiii−i−i−i−i0000000000000000000004444-4-4-4-44−4i−4i4i4i-1-1-111-1110000-1-111iiii−i−i−i−i000000000000000000000
χ4544-4-40000000004-4-4004004i−4i−4i4i00000000000000000000000000000000044-4-40000000004-4-4004004i−4i−4i4i000000000000000000000000000000000
χ4644-4-40000000004-4-400400−4i4i4i−4i00000000000000000000000000000000044-4-40000000004-4-400400−4i4i4i−4i000000000000000000000000000000000
χ474-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-115−515−50000i5−i5−ii−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ380000000000000000000004-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-115−515−50000i5−i5−ii−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38000000000000000000000
χ484-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-11−551−550000−i5i5−ii−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ280000000000000000000004-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-11−551−550000−i5i5−ii−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28000000000000000000000
χ494-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-115−515−50000i5−i5−iiζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ380000000000000000000004-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-115−515−50000i5−i5−iiζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38000000000000000000000
χ504-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-11−551−550000−i5i5−iiζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ280000000000000000000004-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-11−551−550000−i5i5−iiζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28000000000000000000000
χ514-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-115−515−50000−i5i5i−iζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ380000000000000000000004-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-115−515−50000−i5i5i−iζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38000000000000000000000
χ524-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-11−551−550000i5−i5i−i−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ280000000000000000000004-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-11−551−550000i5−i5i−i−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28000000000000000000000
χ534-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-115−515−50000−i5i5i−i−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ380000000000000000000004-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-115−515−50000−i5i5i−i−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38000000000000000000000
χ544-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-11−551−550000i5−i5i−iζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ280000000000000000000004-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-11−551−550000i5−i5i−iζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28000000000000000000000
χ5588-8-8000000000-22225−25-2−2525000000000000000000000000000000000000088-8-8000000000-22225−25-2−25250000000000000000000000000000000000000
χ5688-8-8000000000-222−2525-225−25000000000000000000000000000000000000088-8-8000000000-222−2525-225−250000000000000000000000000000000000000
χ578-8-888-80000000-22-2-2-222200000000000000000000000000000000000008-8-888-80000000-22-2-2-22220000000000000000000000000000000000000
χ588-8-88-880000000-22-2222-2-200000000000000000000000000000000000008-8-88-880000000-22-2222-2-20000000000000000000000000000000000000
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
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ61111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111−i−i−i−iiiii−i−iii
χ62111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111iiii−i−i−i−iii−i−i
χ63111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ64111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111111111-1-1-1-1
χ65111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-1−i−i−i−iiiiiii−i−i
χ66111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-1iiii−i−i−i−i−i−iii
χ671111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−iii−i−iii−i−i1-11-1-1-1-1-11111-1−i−iii-1-1-111-111-1-1-1-1-1-111−i−i−i−iiiii1111-1−i−iii−i−iii−i−iii-11-11
χ681111-1-1-1-11ii−i−i111-1-11-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−i−i−iii−i−iii-11-11-1-1-1-11111-1−i−iii-1-1-111-111-1-1-1-1-1-111−i−i−i−iiiii1111-1−i−iiiii−i−iii−i−i1-11-1
χ691111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii11-1-1-1-111−iii−i-1-1-1-11111-1−i−iii-1-1-111-1111111-1-111−i−i−i−iiiii-1-1-1-11ii−i−i-1-11111-1-1i−i−ii
χ701111-1-1-1-11ii−i−i111-1-11-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii-1-11111-1-1i−i−ii-1-1-1-11111-1−i−iii-1-1-111-1111111-1-111−i−i−i−iiiii-1-1-1-11ii−i−i11-1-1-1-111−iii−i
χ711111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iiiii−i−iii−i−i-11-11-1-1-1-11111-1ii−i−i-1-1-111-111-1-1-1-1-1-111iiii−i−i−i−i1111-1ii−i−i−i−iii−i−iii1-11-1
χ721111-1-1-1-11−i−iii111-1-11-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iii−i−iii−i−iii1-11-1-1-1-1-11111-1ii−i−i-1-1-111-111-1-1-1-1-1-111iiii−i−i−i−i1111-1ii−i−iii−i−iii−i−i-11-11
χ731111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i11-1-1-1-111i−i−ii-1-1-1-11111-1ii−i−i-1-1-111-1111111-1-111iiii−i−i−i−i-1-1-1-11−i−iii-1-11111-1-1−iii−i
χ741111-1-1-1-11−i−iii111-1-11-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i-1-11111-1-1−iii−i-1-1-1-11111-1ii−i−i-1-1-111-1111111-1-111iiii−i−i−i−i-1-1-1-11−i−iii11-1-1-1-111i−i−ii
χ75222222-2-2-20000222222222222-2-2-2-20000000022-2-2-20000000000000000-2-2-2-2-2-22220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-22220000000000000000
χ76222222-2-2-2000022222222-2-2-2-2-2-2-2-200000000-2-22220000000000000000-2-2-2-2-2-22220000-2-2-2-2-2-2-2-2222222220000000022-2-2-20000000000000000
χ772222-2-222-20000222-2-22-2-22222-2-22200000000-2-222-20000000000000000-2-2-2-222-2-220000-2-2-222-222-2-2-2-222-2-20000000022-2-220000000000000000
χ782222-2-222-20000222-2-22-2-2-2-2-2-2-2-2220000000022-2-220000000000000000-2-2-2-222-2-220000-2-2-222-222222222-2-200000000-2-222-20000000000000000
χ792-22-2002i−2i01+i−1−i1−i−1+i22-200-2002i−2i2i−2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-201−i−1+i1+i−1−i000000000000-22-2200−2i2i0−1−i1+i−1+i1−i-2-2200200−2i2i−2i2i00−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-220−1+i1−i−1−i1+i000000000000
χ802-22-2002i−2i01+i−1−i1−i−1+i22-200-200−2i2i−2i2i002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-220−1+i1−i−1−i1+i000000000000-22-2200−2i2i0−1−i1+i−1+i1−i-2-22002002i−2i2i−2i00−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-201−i−1+i1+i−1−i000000000000
χ812-22-2002i−2i0−1−i1+i−1+i1−i22-200-2002i−2i2i−2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-20−1+i1−i−1−i1+i000000000000-22-2200−2i2i01+i−1−i1−i−1+i-2-2200200−2i2i−2i2i00−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-2201−i−1+i1+i−1−i000000000000
χ822-22-2002i−2i0−1−i1+i−1+i1−i22-200-200−2i2i−2i2i002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-2201−i−1+i1+i−1−i000000000000-22-2200−2i2i01+i−1−i1−i−1+i-2-22002002i−2i2i−2i00−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-20−1+i1−i−1−i1+i000000000000
χ832-22-200−2i2i01−i−1+i1+i−1−i22-200-2002i−2i2i−2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-220−1−i1+i−1+i1−i000000000000-22-22002i−2i0−1+i1−i−1−i1+i-2-2200200−2i2i−2i2i002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-201+i−1−i1−i−1+i000000000000
χ842-22-200−2i2i01−i−1+i1+i−1−i22-200-200−2i2i−2i2i00−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-201+i−1−i1−i−1+i000000000000-22-22002i−2i0−1+i1−i−1−i1+i-2-22002002i−2i2i−2i002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-220−1−i1+i−1+i1−i000000000000
χ852-22-200−2i2i0−1+i1−i−1−i1+i22-200-2002i−2i2i−2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-2201+i−1−i1−i−1+i000000000000-22-22002i−2i01−i−1+i1+i−1−i-2-2200200−2i2i−2i2i002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-20−1−i1+i−1+i1−i000000000000
χ862-22-200−2i2i0−1+i1−i−1−i1+i22-200-200−2i2i−2i2i00−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-20−1−i1+i−1+i1−i000000000000-22-22002i−2i01−i−1+i1+i−1−i-2-22002002i−2i2i−2i002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-2201+i−1−i1−i−1+i000000000000
χ872-2-222-200000002-2222-2-2-222-2-20000000000002-200000002−22−22−22−20000-222-2-220000000-22-2-2-2222-2-222000000000000-220000000−22−22−22−220000
χ882-2-222-200000002-2222-2-2-222-2-20000000000002-20000000−22−22−22−220000-222-2-220000000-22-2-2-2222-2-222000000000000-2200000002−22−22−22−20000
χ892-2-222-200000002-2222-2-2-2-2-222000000000000-220000000i2−i2i2−i2−i2i2−i2i20000-222-2-220000000-22-2-2-222222-2-20000000000002-20000000−i2i2−i2i2i2−i2i2−i20000
χ902-2-222-200000002-2222-2-2-2-2-222000000000000-220000000−i2i2−i2i2i2−i2i2−i20000-222-2-220000000-22-2-2-222222-2-20000000000002-20000000i2−i2i2−i2−i2i2−i2i20000
χ912-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000i2−i2−i2i2i2−i2−i2i20000-222-22-20000000-22-2222-2-2-2-2220000000000002-20000000−i2i2i2−i2−i2i2i2−i20000
χ922-2-22-2200000002-22-2-2-22222-2-2000000000000-220000000−i2i2i2−i2−i2i2i2−i20000-222-22-20000000-22-2222-2-2-2-2220000000000002-20000000i2−i2−i2i2i2−i2−i2i20000
χ932-2-22-2200000002-22-2-2-222-2-2220000000000002-200000002−2−22−222−20000-222-22-20000000-22-2222-2-222-2-2000000000000-220000000−222−22−2−220000
χ942-2-22-2200000002-22-2-2-222-2-2220000000000002-20000000−222−22−2−220000-222-22-20000000-22-2222-2-222-2-2000000000000-2200000002−2−22−222−20000
χ954444444444444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4111111110000111111111111000000000000000000000
χ96444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-1-111111111000000000000000000000-4-4-4-4-4-4-4-4-444441111111100001111-1-1-1-1-1-1-1-1000000000000000000000
χ97444444-4-4-40000-1-1-1-1-1-1-1-1000011115−55−55−55−5000000000000000000000-4-4-4-4-4-44440000111111110000-1-1-1-1−55−55−55−55000000000000000000000
χ98444444-4-4-40000-1-1-1-1-1-1-1-100001111−55−55−55−55000000000000000000000-4-4-4-4-4-44440000111111110000-1-1-1-15−55−55−55−5000000000000000000000
χ994444-4-444-40000-1-1-111-111000011-1-1i5−i5i5−i5−i5i5−i5i5000000000000000000000-4-4-4-444-4-440000111-1-11-1-10000-1-111−i5i5−i5i5i5−i5i5−i5000000000000000000000
χ1004444-4-444-40000-1-1-111-111000011-1-1−i5i5−i5i5i5−i5i5−i5000000000000000000000-4-4-4-444-4-440000111-1-11-1-10000-1-111i5−i5i5−i5−i5i5−i5i5000000000000000000000
χ1014444-4-4-4-444i4i−4i−4i-1-1-111-1110000-1-111−i−i−i−iiiii000000000000000000000-4-4-4-44444-4−4i−4i4i4i111-1-11-1-1000011-1-1iiii−i−i−i−i000000000000000000000
χ1024444-4-4-4-44−4i−4i4i4i-1-1-111-1110000-1-111iiii−i−i−i−i000000000000000000000-4-4-4-44444-44i4i−4i−4i111-1-11-1-1000011-1-1−i−i−i−iiiii000000000000000000000
χ10344-4-40000000004-4-4004004i−4i−4i4i000000000000000000000000000000000-4-444000000000-44400-400−4i4i4i−4i000000000000000000000000000000000
χ10444-4-40000000004-4-400400−4i4i4i−4i000000000000000000000000000000000-4-444000000000-44400-4004i−4i−4i4i000000000000000000000000000000000
χ1054-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-115−515−50000i5−i5−ii−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38000000000000000000000-44-4400−4i4i0−2−2i2+2i−2+2i2−2i11-1−55-1−550000−i5i5i−iζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38000000000000000000000
χ1064-44-4004i−4i02+2i−2−2i2−2i−2+2i-1-11−551−550000−i5i5−ii−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28000000000000000000000-44-4400−4i4i0−2−2i2+2i−2+2i2−2i11-15−5-15−50000i5−i5i−iζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28000000000000000000000
χ1074-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-115−515−50000i5−i5−iiζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38000000000000000000000-44-4400−4i4i02+2i−2−2i2−2i−2+2i11-1−55-1−550000−i5i5i−i−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38000000000000000000000
χ1084-44-4004i−4i0−2−2i2+2i−2+2i2−2i-1-11−551−550000−i5i5−iiζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28000000000000000000000-44-4400−4i4i02+2i−2−2i2−2i−2+2i11-15−5-15−50000i5−i5i−i−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28000000000000000000000
χ1094-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-115−515−50000−i5i5i−iζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38000000000000000000000-44-44004i−4i0−2+2i2−2i−2−2i2+2i11-1−55-1−550000i5−i5−ii−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38000000000000000000000
χ1104-44-400−4i4i02−2i−2+2i2+2i−2−2i-1-11−551−550000i5−i5i−i−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28000000000000000000000-44-44004i−4i0−2+2i2−2i−2−2i2+2i11-15−5-15−50000−i5i5−iiζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28000000000000000000000
χ1114-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-115−515−50000−i5i5i−i−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38ζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38000000000000000000000-44-44004i−4i02−2i−2+2i2+2i−2−2i11-1−55-1−550000i5−i5−iiζ6−ζ12+ζ14−ζ28−ζ4+ζ22−ζ36+ζ38−ζ6+ζ12−ζ14+ζ28ζ4−ζ22+ζ36−ζ38−ζ6−ζ12−ζ14−ζ28−ζ4−ζ22−ζ36−ζ38ζ6+ζ12+ζ14+ζ28ζ4+ζ22+ζ36+ζ38000000000000000000000
χ1124-44-400−4i4i0−2+2i2−2i−2−2i2+2i-1-11−551−550000i5−i5i−iζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28000000000000000000000-44-44004i−4i02−2i−2+2i2+2i−2−2i11-15−5-15−50000−i5i5−ii−ζ4+ζ22−ζ36+ζ38ζ6−ζ12+ζ14−ζ28ζ4−ζ22+ζ36−ζ38−ζ6+ζ12−ζ14+ζ28−ζ4−ζ22−ζ36−ζ38−ζ6−ζ12−ζ14−ζ28ζ4+ζ22+ζ36+ζ38ζ6+ζ12+ζ14+ζ28000000000000000000000
χ11388-8-8000000000-22225−25-2−25250000000000000000000000000000000000000-8-8880000000002-2-2−2525225−250000000000000000000000000000000000000
χ11488-8-8000000000-222−2525-225−250000000000000000000000000000000000000-8-8880000000002-2-225−252−25250000000000000000000000000000000000000
χ1158-8-888-80000000-22-2-2-22220000000000000000000000000000000000000-888-8-8800000002-2222-2-2-20000000000000000000000000000000000000
χ1168-8-88-880000000-22-2222-2-20000000000000000000000000000000000000-888-88-800000002-22-2-2-2220000000000000000000000000000000000000

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