Finite Group Databasebeta

← Group #14291154

Character table — Group #14291154

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444448888888888888888888888888161616161616161616161616242424242424242424244040404040404040404040404848484848120120120120
order122235566610101010101044415152020202030303030303044121212121212122020202060606060606060606060606020202020606060606060606088404040404040404022446666121212124202020208888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-1-111
χ71111111111111111111111111111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111111-1-111
χ81111111111111111111111111111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111-1-1
χ922222222222222222-2-22222222222222-22-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000
χ1022222222222222222-2-2222222222222-222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000
χ112222222222222222-22-222-2-2-2-222222200-22-2000022-2-2-2-2-2-22222-2-2-2-20000000000000000000000020-2002200-2-2000000000
χ122222222222222222-22-222-2-2-2-222222200-22-2000022-2-2-2-2-2-22222-2-2-2-200000000000000000000000-20200-2-20022000000000
χ132222222222222222-2-2222-2-2-2-222222200-2-220000-2-222-2-2-2-2-2-2-2-22222000000000000000000000020-202200-2-200000000000
χ142222222222222222-2-2222-2-2-2-222222200-2-220000-2-222-2-2-2-2-2-2-2-222220000000000000000000000-2020-2-2002200000000000
χ1522222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1+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+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000002−1−52−1−52−1+52−1+520000
χ1622222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1+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+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52000000000000-21+521+521−521−520000
χ1722222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2-2-2−1−52−1+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+521+521−521+521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-21+521+521−521−520000
χ1822222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2-2-2−1−52−1+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+521+521−521+521−521+521+521−521−521+521+521−521−52-2-21+521+521+521+521−521−521−521−520000000000002−1−52−1−52−1+52−1+520000
χ1922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-222-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ580000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ2022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-222-2-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ580000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ2122222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2-2-2221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ580000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ2222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-2-2-2221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ580000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ2322222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222−1+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+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002−1+52−1+52−1−52−1−520000
χ2422222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222−1+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+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000000000-21−521−521+521+520000
χ2522222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-21−521−521+521+520000
χ2622222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52-2-21−521−521−521−521+521+521+521+520000000000002−1+52−1+52−1−52−1−520000
χ2722222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-222-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ460000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ2822222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-222-2-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ460000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ2922222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ460000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ3022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ460000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ312222-122-1-1-1222222222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-1000000000
χ322222-122-1-1-1222222222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-211111111000000000
χ332222-122-1-1-1222222222-1-12222-1-1-1-1-1-1-2-2-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002-22-2-1-111-1-111000000000
χ342222-122-1-1-1222222222-1-12222-1-1-1-1-1-1-2-2-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000-22-2211-1-111-1-1000000000
χ352222-122-1-1-12222222-2-2-1-12222-1-1-1-1-1-12-2-111-1-111-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000000−i3i3−i3i3−i3i3−i3i3000000000
χ362222-122-1-1-12222222-2-2-1-12222-1-1-1-1-1-12-2-111-1-111-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000000i3−i3i3−i3i3−i3i3−i3000000000
χ372222-122-1-1-12222222-2-2-1-12222-1-1-1-1-1-1-22-11111-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000000−i3i3i3−i3−i3i3i3−i3000000000
χ382222-122-1-1-12222222-2-2-1-12222-1-1-1-1-1-1-22-11111-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000000i3−i3−i3i3i3−i3−i3i3000000000
χ392222-122-1-1-1222222-22-2-1-1-2-2-2-2-1-1-1-1-1-1001-11−i3i3−i3i322-2-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000000000020-2−i3i3-1-1i3−i311000000000
χ402222-122-1-1-1222222-22-2-1-1-2-2-2-2-1-1-1-1-1-1001-11−i3i3−i3i322-2-21111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i300000000000-202i3−i311−i3i3-1-1000000000
χ412222-122-1-1-1222222-22-2-1-1-2-2-2-2-1-1-1-1-1-1001-11i3−i3i3−i322-2-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000000000020-2i3−i3-1-1−i3i311000000000
χ422222-122-1-1-1222222-22-2-1-1-2-2-2-2-1-1-1-1-1-1001-11i3−i3i3−i322-2-21111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i300000000000-202−i3i311i3−i3-1-1000000000
χ432222-122-1-1-1222222-2-22-1-1-2-2-2-2-1-1-1-1-1-10011-1−i3i3i3−i3-2-22211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000020-20-1-1−i3i311i3−i3000000000
χ442222-122-1-1-1222222-2-22-1-1-2-2-2-2-1-1-1-1-1-10011-1−i3i3i3−i3-2-22211111111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000-202011i3−i3-1-1−i3i3000000000
χ452222-122-1-1-1222222-2-22-1-1-2-2-2-2-1-1-1-1-1-10011-1i3−i3−i3i3-2-22211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000020-20-1-1i3−i311−i3i3000000000
χ462222-122-1-1-1222222-2-22-1-1-2-2-2-2-1-1-1-1-1-10011-1i3−i3−i3i3-2-22211111111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000-202011−i3i3-1-1i3−i3000000000
χ4744444−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500-44-40000−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000
χ4844444−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500-4-4400001+51−5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000
χ4944444−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500-44-40000−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000
χ5044444−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500-4-4400001−51+5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000
χ514444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54441+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−5244-2-2-2-2-2-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000000000000000
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χ534444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-4-41+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−524-4-222-2-2221+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ544444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+54-4-41+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−52-44-22222-2-21+51−51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000
χ554444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-44-41+521−521+51+51−51−51+521−521+521+521−521−52002-22−2i32i3−2i32i3−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000
χ564444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-44-41+521−521+51+51−51−51+521−521+521+521−521−52002-222i3−2i32i3−2i3−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000
χ574444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-441+521−521+51+51−51−51+521−521+521+521−521−520022-2−2i32i32i3−2i31+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000
χ584444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-441+521−521+51+51−51−51+521−521+521+521−521−520022-22i3−2i3−2i32i31+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000
χ594444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54441−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+5244-2-2-2-2-2-2-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+52−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+520000000000000000000000000000000
χ604444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54441−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+52-4-4-2-2-22222−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+521−51+51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ614444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54-4-41−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+524-4-222-2-2221−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000
χ624444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−54-4-41−521+52−1+5−1+5−1−5−1−51−521+521−521−521+521+52-44-22222-2-21−51+51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000
χ634444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-44-41−521+521−51−51+51+51−521+521−521−521+521+52002-22−2i32i3−2i32i3−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000
χ644444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-44-41−521+521−51−51+51+51−521+521−521−521+521+52002-222i3−2i32i3−2i3−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000
χ654444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-4-441−521+521−51−51+51+51−521+521−521−521+521+520022-2−2i32i32i3−2i31−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000
χ664444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-4-441−521+521−51−51+51+51−521+521−521−521+521+520022-22i3−2i3−2i32i31−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000
χ6744-4-44444-4-4-4-4-4-44400044000044-4-4-4-400000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000
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χ6944-4-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5000−1−5−1+5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−5−1+51+51+51−51−50000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000002i−2i−2ζ19−2ζ592ζ19+2ζ59−2ζ11−2ζ312ζ11+2ζ31−2ζ23−2ζ432ζ23+2ζ43−2ζ7−2ζ472ζ7+2ζ47000000000000000000000
χ7044-4-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5000−1−5−1+5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−5−1+51+51+51−51−50000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000−2i2i2ζ19+2ζ59−2ζ19−2ζ592ζ11+2ζ31−2ζ11−2ζ312ζ23+2ζ43−2ζ23−2ζ432ζ7+2ζ47−2ζ7−2ζ47000000000000000000000
χ7144-4-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5000−1−5−1+52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−1+51+51+51−51−500000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000002i−2i−2ζ11−2ζ312ζ11+2ζ31−2ζ19−2ζ592ζ19+2ζ59−2ζ7−2ζ472ζ7+2ζ47−2ζ23−2ζ432ζ23+2ζ43000000000000000000000
χ7244-4-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5000−1−5−1+52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−1+51+51+51−51−500000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000−2i2i2ζ11+2ζ31−2ζ11−2ζ312ζ19+2ζ59−2ζ19−2ζ592ζ7+2ζ47−2ζ7−2ζ472ζ23+2ζ43−2ζ23−2ζ43000000000000000000000
χ7344-4-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5000−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−51−51−51+51+500000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000002i−2i−2ζ23−2ζ432ζ23+2ζ43−2ζ7−2ζ472ζ7+2ζ47−2ζ11−2ζ312ζ11+2ζ31−2ζ19−2ζ592ζ19+2ζ59000000000000000000000
χ7444-4-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5000−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−51−51−51+51+500000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000−2i2i2ζ23+2ζ43−2ζ23−2ζ432ζ7+2ζ47−2ζ7−2ζ472ζ11+2ζ31−2ζ11−2ζ312ζ19+2ζ59−2ζ19−2ζ59000000000000000000000
χ7544-4-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5000−1+5−1−5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−51−51−51+51+50000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000002i−2i−2ζ7−2ζ472ζ7+2ζ47−2ζ23−2ζ432ζ23+2ζ43−2ζ19−2ζ592ζ19+2ζ59−2ζ11−2ζ312ζ11+2ζ31000000000000000000000
χ7644-4-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5000−1+5−1−5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−51−51−51+51+50000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000−2i2i2ζ7+2ζ47−2ζ7−2ζ472ζ23+2ζ43−2ζ23−2ζ432ζ19+2ζ59−2ζ19−2ζ592ζ11+2ζ31−2ζ11−2ζ31000000000000000000000
χ774-44-4444-44-44-44-4-4-4000440000-4-44-44-400000000000000000000000000000000000000000000000000000000000000002i−2i00
χ784-44-4444-44-44-44-4-4-4000440000-4-44-44-40000000000000000000000000000000000000000000000000000000000000000−2i2i00
χ794-4-44444-4-44-44-44-4-4000440000-4-4-44-440000000000000000000000000000000000000000000000000000000000000000002i−2i
χ804-4-44444-4-44-44-44-4-4000440000-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000−2i2i
χ8188-8-8-488-444-8-8-8-888000-4-40000-4-4444400000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4−2−25−2+25-4442+252+252−252−25−2−25−2+250001+51−5−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ581+51−5−1−5−1−5−1+5−1+500000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000000000000000000000000000000000000
χ8388-8-8-4−2−25−2+25-4442+252+252−252−25−2−25−2+250001+51−54ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ581+51−5−1−5−1−5−1+5−1+50000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000000000000000000000000000000000000
χ8488-8-8-4−2+25−2−25-4442−252−252+252+25−2+25−2−250001−51+54ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ461−51+5−1+5−1+5−1−5−1−50000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000000000000000000000000000000000000
χ8588-8-8-4−2+25−2−25-4442−252−252+252+25−2+25−2−250001−51+5−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ461−51+5−1+5−1+5−1−5−1−500000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000000000000000000000000000000000000
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χ888-88-8-4884-448-88-8-8-8000-4-4000044-44-4400000000000000000000000000000000000000000000000000000000000000000000
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χ908-88-8-4−2−25−2+254-44−2−252+25−2+252−252+252−250001+51−50000−1−5−1+51+5−1−51−5−1+5000000000000000000000−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000
χ918-88-8-4−2+25−2−254-44−2+252−25−2−252+252−252+250001−51+50000−1+5−1−51−5−1+51+5−1−5000000000000000000000−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000
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χ978-8-88-4−2−25−2+2544-42+25−2−252−25−2+252+252−250001+51−50000−1−5−1+5−1−51+5−1+51−500000000000000000−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000
χ988-8-88-4−2+25−2−2544-42−25−2+252+25−2−252−252+250001−51+50000−1+5−1−5−1+51−5−1−51+500000000000000000−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000
χ998-8-88-4−2+25−2−2544-42−25−2+252+25−2−252−252+250001−51+50000−1+5−1−5−1+51−5−1−51+5000000000000000002ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.