Finite Group Databasebeta

← Group #12067822

Character table — Group #12067822

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222224444444448888888888888888888888881010161616162020204040404040401111222222222222444444444888888888888888888888888101016161616202020404040404040
order1222444455101010101010420202020202020202288882020404040404040404040404040404040404410101010244448888222244441010101010101010420202020202020202288882020404040404040404040404040404040404410101010244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111
χ51111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-11111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1
χ61111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-111
χ81111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1
χ91111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1i−ii−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-11-11-1i−ii−i1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1i−ii−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-11-11-1i−ii−i
χ101111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1i−ii−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11-11-11−ii−ii1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1i−ii−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11-11-11−ii−ii
χ111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii−ii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-11-11-1−ii−ii1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii−ii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-11-11-1−ii−ii
χ121111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11-11-11i−ii−i1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11-11-11i−ii−i
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i−ii11iiii−i−i−i−i−i−i−i−iiiii11-1-111-11-1-11i−i−ii1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i−ii11iiii−i−i−i−i−i−i−i−iiiii11-1-111-11-1-11i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i−ii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111-111-1−iii−i1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i−ii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111-111-1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11−iii−i11−i−i−i−iiiiiiiii−i−i−i−i11-1-111-11-1-11−iii−i1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11−iii−i11−i−i−i−iiiiiiiii−i−i−i−i11-1-111-11-1-11−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11−iii−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111-111-1i−i−ii1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11−iii−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111-111-1i−i−ii
χ1722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−5200−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−5200−1+52−1−52−1+52−1−52000000000
χ1822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52000000000
χ1922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52001−521+521−521+5200000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52001−521+521−521+52000000000
χ2022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+5200000000022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52000000000
χ2122222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52000000000
χ2222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52000000000
χ2322222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52001+521−521+521−5200000000022222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52001+521−521+521−52000000000
χ2422222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−5200000000022222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52000000000
χ2522222-2-2222222222-22-22-22-22-2000000-2-20000000000000000220000-2-2200000022222-2-2222222222-22-22-22-22-2000000-2-20000000000000000220000-2-22000000
χ2622222-2-2222222222-22-22-22-22-2000000-2-20000000000000000-2-2000022-200000022222-2-2222222222-22-22-22-22-2000000-2-20000000000000000-2-2000022-2000000
χ272222-222-222222222-2-22-22-22-22000000-2-200000000000000002200002-2-20000002222-222-222222222-2-22-22-22-22000000-2-200000000000000002200002-2-2000000
χ282222-222-222222222-2-22-22-22-22000000-2-20000000000000000-2-20000-2220000002222-222-222222222-2-22-22-22-22000000-2-20000000000000000-2-20000-222000000
χ292222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-22i−2i2i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400−1+52−1−521−521+520000000002222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-22i−2i2i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400−1+52−1−521−521+52000000000
χ302222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-2−2i2i−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400−1+52−1−521−521+520000000002222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-2−2i2i−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400−1+52−1−521−521+52000000000
χ312222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-222i−2i−2i2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14001−521+52−1+52−1−520000000002222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-222i−2i−2i2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14001−521+52−1+52−1−52000000000
χ322222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-22−2i2i2i−2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14001−521+52−1+52−1−520000000002222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-22−2i2i2i−2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14001−521+52−1+52−1−52000000000
χ332222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-22i−2i2i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800−1−52−1+521+521−520000000002222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-22i−2i2i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800−1−52−1+521+521−52000000000
χ342222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-2−2i2i−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800−1−52−1+521+521−520000000002222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-2−2i2i−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800−1−52−1+521+521−52000000000
χ352222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52-222i−2i−2i2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38001+521−52−1−52−1+520000000002222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52-222i−2i−2i2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38001+521−52−1−52−1+52000000000
χ362222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52-22−2i2i2i−2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38001+521−52−1−52−1+520000000002222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52-22−2i2i2i−2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38001+521−52−1−52−1+52000000000
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χ8222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+52-21−521−521+521+521−521−521+521+52-2-222221−521+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+52−1−52−1−52001−521+521−521+52000000000
χ8322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52001−521+521−521+52000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+52-21−521−521+521+521−521−521+521+5222-2-2221−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52000000000
χ8422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52000000000-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+52-21−521−521+521+521−521−521+521+522222-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52000000000
χ8522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−52-21+521+521−521−521+521+521−521−52-2-2-2-2-2-21+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52001+521−521+521−52000000000
χ8622222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−52-21+521+521−521−521+521+521−521−52-2-222221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52000000000
χ8722222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52001+521−521+521−52000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−52-21+521+521−521−521+521+521−521−5222-2-2221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52000000000
χ8822222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52000000000-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−52-21+521+521−521−521+521+521−521−522222-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52000000000
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χ9022222-2-2222222222-22-22-22-22-2000000-2-20000000000000000-2-2000022-2000000-2-2-2-2-222-2-2-2-2-2-2-2-2-22-22-22-22-22000000220000000000000000220000-2-22000000
χ912222-222-222222222-2-22-22-22-22000000-2-200000000000000002200002-2-2000000-2-2-2-22-2-22-2-2-2-2-2-2-2-222-22-22-22-2000000220000000000000000-2-20000-222000000
χ922222-222-222222222-2-22-22-22-22000000-2-20000000000000000-2-20000-222000000-2-2-2-22-2-22-2-2-2-2-2-2-2-222-22-22-22-20000002200000000000000002200002-2-2000000
χ932222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-22i−2i2i−2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400−1+52−1−521−521+52000000000-2-2-2-222221−521+521−521−521−521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22−2i2i−2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14001−521+52−1+52−1−52000000000
χ942222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+522-2−2i2i−2i2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400−1+52−1−521−521+52000000000-2-2-2-222221−521+521−521−521−521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222i−2i2i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14001−521+52−1+52−1−52000000000
χ952222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-222i−2i−2i2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14001−521+52−1+52−1−52000000000-2-2-2-222221−521+521−521−521−521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2−2i2i2i−2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400−1+52−1−521−521+52000000000
χ962222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5221−521−521+521+521−521−521+521+52-22−2i2i2i−2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14001−521+52−1+52−1−52000000000-2-2-2-222221−521+521−521−521−521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22i−2i−2i2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400−1+52−1−521−521+52000000000
χ972222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-22i−2i2i−2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800−1−52−1+521+521−52000000000-2-2-2-222221+521−521+521+521+521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22−2i2i−2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38001+521−52−1−52−1+52000000000
χ982222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−522-2−2i2i−2i2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800−1−52−1+521+521−52000000000-2-2-2-222221+521−521+521+521+521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222i−2i2i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38001+521−52−1−52−1+52000000000
χ992222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5221+521+521−521−521+521+521−521−52-222i−2i−2i2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38001+521−52−1−52−1+52000000000-2-2-2-222221+521−521+521+521+521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2−2i2i2i−2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800−1−52−1+521+521−52000000000
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χ1154-44-4-4004−1−5−1+51+5−1−51+51−5−1+51−501+501−50−1−50−1+5000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000-44-44400-41+51−5−1−51+5−1−5−1+51−5−1+50−1−50−1+501+501−5000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000
χ1164-44-4-4004−1−5−1+51+5−1−51+51−5−1+51−501+501−50−1−50−1+5000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000-44-44400-41+51−5−1−51+5−1−5−1+51−5−1+50−1−50−1+501+501−5000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000
χ1174-4-4404-4044-4-44-4-4400-40-40404000000000000000000000000000000000000000-444-40-440-4-444-444-4004040-40-4000000000000000000000000000000000000000
χ1184-4-4404-40−1+5−1−51−51−5−1+51+51+5−1−5001−501+50−1+50−1−50000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000-444-40-4401−51+5−1+5−1+51−5−1−5−1−51+500−1+50−1−501−501+50000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000
χ1194-4-4404-40−1+5−1−51−51−5−1+51+51+5−1−5001−501+50−1+50−1−50000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000-444-40-4401−51+5−1+5−1+51−5−1−5−1−51+500−1+50−1−501−501+50000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000
χ1204-4-4404-40−1−5−1+51+51+5−1−51−51−5−1+5001+501−50−1−50−1+50000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000-444-40-4401+51−5−1−5−1−51+5−1+5−1+51−500−1−50−1+501+501−50000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000
χ1214-4-4404-40−1−5−1+51+51+5−1−51−51−5−1+5001+501−50−1−50−1+50000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000-444-40-4401+51−5−1−5−1−51+5−1+5−1+51−500−1−50−1+501+501−50000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000
χ1224-4-440-44044-4-44-4-44004040-40-4000000000000000000000000000000000000000-444-404-40-4-444-444-400-40-40404000000000000000000000000000000000000000
χ1234-4-440-440−1+5−1−51−51−5−1+51+51+5−1−500−1+50−1−501−501+50000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000-444-404-401−51+5−1+5−1+51−5−1−5−1−51+5001−501+50−1+50−1−50000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000
χ1244-4-440-440−1+5−1−51−51−5−1+51+51+5−1−500−1+50−1−501−501+50000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000-444-404-401−51+5−1+5−1+51−5−1−5−1−51+5001−501+50−1+50−1−50000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000
χ1254-4-440-440−1−5−1+51+51+5−1−51−51−5−1+500−1−50−1+501+501−50000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000-444-404-401+51−5−1−5−1−51+5−1+5−1+51−5001+501−50−1−50−1+50000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000
χ1264-4-440-440−1−5−1+51+51+5−1−51−51−5−1+500−1−50−1+501+501−50000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000-444-404-401+51−5−1−5−1−51+5−1+5−1+51−5001+501−50−1−50−1+50000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000
χ12788-8-80000−2+25−2−25−2+252−252−25−2−252+252+25000000000000000000000000000000000000000000000000-8-88800002−252+252−25−2+25−2+252+25−2−25−2−25000000000000000000000000000000000000000000000000
χ12888-8-80000−2−25−2+25−2−252+252+25−2+252−252−25000000000000000000000000000000000000000000000000-8-88800002+252−252+25−2−25−2−252−25−2+25−2+25000000000000000000000000000000000000000000000000

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