Finite Group Databasebeta

← Group #14291157

Character table — Group #14291157

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444488888888888888888888888888888161616161616161616162424242424242424242424242424242424242424404040404040404040404040120120240
order1222355666101010101010444121212121515303030303030441220202020202020202020202020206060606060606060606060601212606060606060606022441010101010101010202020202020202088882424242424242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1
χ61111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1
χ922222222222222222-2-222-2-22222222200-2-2-222-2-200000000-2-2-2-22222-2-2-2-20000000000020-2000022220000-2-2-2-2000000000000000
χ1022222222222222222-2-222-2-22222222200-2-2-222-2-200000000-2-2-2-22222-2-2-2-200000000000-2020000-2-2-2-200002222000000000000000
χ112222222222222222-22-2-2-2222222222200-2-2-2-2-22200000000-2-2-2-2-2-2-2-22222000000000020-2022220000-2-2-2-20000000000000000000
χ122222222222222222-22-2-2-2222222222200-2-2-2-2-22200000000-2-2-2-2-2-2-2-222220000000000-2020-2-2-2-2000022220000000000000000000
χ132222222222222222-2-22-2-2-2-2222222222-2222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22-22222-2-2-2-200000000000000000000000000000000000
χ142222222222222222-2-22-2-2-2-222222222-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-2-2-2222200000000000000000000000000000000000
χ1522222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+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+522222−1−52−1−52−1+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+52000000000000000
χ1622222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
χ1722222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ1822222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52−1−52−1+521+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58020-2−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52000000000000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52−1−52−1+521+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580-202ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−52−1+52−1+52000000000000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52−1−52−1+521+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58020-2ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−52−1+52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52000000000000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52−1−52−1+521+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580-202−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−52−1+52−1+52000000000000000
χ2322222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−521+521−52−1−52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5820-20−1−52−1−52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000
χ2422222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−521+521−52−1−52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58-20201+521+521−521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1−52−1+52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000
χ2522222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−521+521−52−1−52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5820-20−1−52−1−52−1+52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ581+521+521−521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000
χ2622222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−521+521−52−1−52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58-20201+521+521−521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1−52−1+52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000
χ2722222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000
χ2822222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000
χ2922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000
χ3022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000
χ3122222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−52000000000000000
χ3222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000
χ3322222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ3422222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ3522222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52−1+52−1−521−521+52ζ2+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+ζ461−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+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+ζ46020-2ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+52−1−52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521−521+521+52000000000000000
χ3622222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52−1+52−1−521−521+52ζ2+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+ζ461−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+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+ζ460-202−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521−521+521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52000000000000000
χ3722222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52−1+52−1−521−521+52−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−ζ461−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−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−ζ46020-2−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521−521+521+52000000000000000
χ3822222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52−1+52−1−521−521+52−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−ζ461−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−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−ζ460-202ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521−521+521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+52−1−52−1−52000000000000000
χ3922222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+521−521+52−1+52−1−52ζ2+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−ζ461−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ2+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−ζ4620-20−1+52−1+52−1−52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ461−521−521+521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000
χ4022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+521−521+52−1+52−1−52ζ2+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−ζ461−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200ζ2+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−ζ46-20201−521−521+521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000
χ4122222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+521−521+52−1+52−1−52−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+ζ461−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−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+ζ4620-20−1+52−1+52−1−52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ461−521−521+521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000
χ4222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+521−521+52−1+52−1−52−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+ζ461−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−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+ζ46-20201−521−521+521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−1+52−1+52−1−52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000
χ4322222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+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−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000
χ4422222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−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+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000
χ4522222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−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−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000
χ4622222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+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+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000
χ472222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-1000
χ482222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-211111111000
χ492222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111110000000000000000000022-2-2-1-1-1-11111000
χ502222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111100000000000000000000-2-2221111-1-1-1-1000
χ512222-122-1-1-1222222-2-221111-1-1-1-1-1-1-1-12-2-122-2-2-2-22222-2-2-2-2-1-1-1-111111111-11-1-1-1-1111100000000000000000000000033−3−333−3−3000
χ522222-122-1-1-1222222-2-221111-1-1-1-1-1-1-1-12-2-122-2-2-2-22222-2-2-2-2-1-1-1-111111111-11-1-1-1-11111000000000000000000000000−3−333−3−333000
χ532222-122-1-1-1222222-2-221111-1-1-1-1-1-1-1-1-22-122-2-2-2-2-2-2-2-22222-1-1-1-1111111111-11111-1-1-1-100000000000000000000000033−3−3−3−333000
χ542222-122-1-1-1222222-2-221111-1-1-1-1-1-1-1-1-22-122-2-2-2-2-2-2-2-22222-1-1-1-1111111111-11111-1-1-1-1000000000000000000000000−3−33333−3−3000
χ554444-244-2-2-24444444-4-4-2-222-2-2-2-2-2-2-2-2002-4-444-4-4000000002222-2-2-2-22222000000000000000000000000000000000000000000000
χ564444-244-2-2-2444444-44-422-2-2-2-2-2-2-2-2-2-2002-4-4-4-4440000000022222222-2-2-2-2000000000000000000000000000000000000000000000
χ574444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5444-2-2-2-21+521−521+521−521+521+521−521−5244-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−5200000000000000000000000000000000000
χ584444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5444-2-2-2-21+521−521+521−521+521+521−521−52-4-4-2−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−51+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+5200000000000000000000000000000000000
χ594444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4-4-2-2221+521−521+521−521+521+521−521−520021+51−5−1−5−1+51+51−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.