Finite Group Databasebeta

← Group #13106554

Character table — Group #13106554

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1122222222222444444444444442020202022444444444448888888888888840404040224444444444488888888888888404040405510101010101010101010102020202020202020202020202020100100100100
order12244551010202020202410101010101020202020202044885101020205510102020202010201010101010102020202020202020404051010202055101020202020102010101010101020202020202020204040222441010101020202020241010101010102020202020204488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1
χ31111111111111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ41111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-111
χ511-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-111-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-111-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-111-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-1
χ611-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-1111-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-1111-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-1111-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-11
χ711-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-11
χ811-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-111-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-111-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-111-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-1
χ922222−1+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+52−1−52−1+52−1+52−1−52−1−52000022222−1+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+52−1−52−1+52−1+52−1−52−1−52000022222−1+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+52−1−52−1+52−1+52−1−52−1−52000022222−1+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+52−1−52−1+52−1+52−1−52−1−520000
χ1022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000
χ1122222−1−52−1+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+52−1−52−1−52−1+52−1+52000022222−1−52−1+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+52−1−52−1−52−1+52−1+52000022222−1−52−1+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+52−1−52−1−52−1+52−1+52000022222−1−52−1+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+52−1−52−1−52−1+52−1+520000
χ1222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000
χ13222-2-22222-2-2-2-200220000-2-200000000222-2-22222-2-2-2-200220000-2-200000000222-2-22222-2-2-2-200220000-2-200000000222-2-22222-2-2-2-200220000-2-200000000
χ14222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ15222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ16222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ17222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ1822-22-22222222200-2-20000-2-20000000022-22-22222222200-2-20000-2-20000000022-22-22222222200-2-20000-2-20000000022-22-22222222200-2-20000-2-200000000
χ1922-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000
χ2022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000022-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ2122-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ2222-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ2322-2-22−1+52−1−52−1+52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+520000
χ2422-2-22−1+52−1−52−1+52−1−521−521−521+521+52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−520000
χ2522-2-22−1−52−1+52−1−52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−520000
χ2622-2-22−1−52−1+52−1−52−1+521+521+521−521−52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+520000
χ274-400044-4-400000000000000000000004-400044-4-400000000000000000000004-400044-4-400000000000000000000004-400044-4-40000000000000000000000
χ284-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000004-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000004-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000004-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ294-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000004-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000004-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000004-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ304-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000004-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000004-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000004-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000
χ314-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000004-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000004-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000004-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ32111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ33111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ341111111111111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111
χ351111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ3611-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-111-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-111-1-111111-1-1-1-11-1-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-11111-1111-1-1-1-1-1-11111-11-11
χ3711-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-1111-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-1111-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-11-11-1-111-1-1-1-1-11111-1111-1-1-1-1-1-111111-11-1
χ3811-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-111111-1-1-1-1-11-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-111111-1111111-1-1-1-1-1-1-111-1
χ3911-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-111-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-111-1-111111-1-1-1-1-11-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-111111-1111111-1-1-1-1-1-11-1-11
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χ10244444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−544−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1−5−1−5−1−5−1−5−1−5-13+52-13+52-1-13+523+52−1−5−1−5-13+52-1-13+523+52-13+52-1-13+523+520000−1+5−1+5−1+5−1+5−1+53−52-13−52-13−523−52-1-1−1+5−1+53−52-13−523−52-1-13−52-13−523−52-1-100000000000000000000000000000000000
χ10344444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+50000−1−5−1−5−1−5−1−5−1−5-13+52-13+52-1-13+523+521+51+5-13+5211−3−52−3−52-13+5211−3−52−3−520000−1+5−1+5−1+5−1+5−1+53−52-13−52-13−523−52-1-11−51−53−52-1−3+52−3+52113−52-1−3+52−3+521100000000000000000000000000000000000
χ10444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+544−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1−5−1−5−1−5−1−53+52-13+52-13+523+52-1-1−1−5−1−53+52-13+523+52-1-13+52-13+523+52-1-10000−1+5−1+5−1+5−1+5−1+5-13−52-13−52-1-13−523−52−1+5−1+5-13−52-1-13−523−52-13−52-1-13−523−5200000000000000000000000000000000000
χ10544444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−50000−1−5−1−5−1−5−1−5−1−53+52-13+52-13+523+52-1-11+51+53+52-1−3−52−3−52113+52-1−3−52−3−52110000−1+5−1+5−1+5−1+5−1+5-13−52-13−52-1-13−523−521−51−5-13−5211−3+52−3+52-13−5211−3+52−3+5200000000000000000000000000000000000
χ106444-4-44444-4-4-4-400440000-4-400000000−1−5−1−5−1−51+51+5−1−5−1−5−1−5−1−51+51+51+51+500−1−5−1−500001+51+500000000−1+5−1+5−1+51−51−5−1+5−1+5−1+5−1+51−51−51−51−500−1+5−1+500001−51−5000000000000000000000000000000000000000
χ107444-4-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000−1−5−1−5−1−51+51+5-13+52-13+5211−3−52−3−5200-13+52−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ6−ζ14−ζ6+ζ141−3−52−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ6−ζ14−ζ6+ζ140000−1+5−1+5−1+51−51−53−52-13−52-1−3+52−3+5211003−52-1ζ2−ζ18−ζ2+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−3+521ζ2−ζ18−ζ2+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1800000000000000000000000000000000000
χ108444-4-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000−1−5−1−5−1−51+51+5-13+52-13+5211−3−52−3−5200-13+52ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ6+ζ14ζ6−ζ141−3−52ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ6+ζ14ζ6−ζ140000−1+5−1+5−1+51−51−53−52-13−52-1−3+52−3+5211003−52-1−ζ2+ζ18ζ2−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−3+521−ζ2+ζ18ζ2−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1800000000000000000000000000000000000
χ109444-4-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000−1−5−1−5−1−51+51+53+52-13+52-1−3−52−3−5211003+52-1ζ6−ζ14−ζ6+ζ14ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−3−521ζ6−ζ14−ζ6+ζ14ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000−1+5−1+5−1+51−51−5-13−52-13−5211−3+52−3+5200-13−52ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ18ζ2−ζ181−3+52ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ18ζ2−ζ1800000000000000000000000000000000000
χ110444-4-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−1−5−1−5−1−51+51+53+52-13+52-1−3−52−3−5211003+52-1−ζ6+ζ14ζ6−ζ14−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−3−521−ζ6+ζ14ζ6−ζ14−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000−1+5−1+5−1+51−51−5-13−52-13−5211−3+52−3+5200-13−52−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ18−ζ2+ζ181−3+52−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ18−ζ2+ζ1800000000000000000000000000000000000
χ11144-44-44444444400-4-40000-4-400000000−1−5−1−51+5−1−51+5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5001+51+500001+51+500000000−1+5−1+51−5−1+51−5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5001−51−500001−51−5000000000000000000000000000000000000000
χ11244-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000−1−5−1−51+5−1−51+5-13+52-13+52-1-13+523+52001−3−52−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ6−ζ14−ζ6+ζ141−3−52ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ6+ζ14ζ6−ζ140000−1+5−1+51−5−1+51−53−52-13−52-13−523−52-1-100−3+521ζ2−ζ18−ζ2+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−3+521−ζ2+ζ18ζ2−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1800000000000000000000000000000000000
χ11344-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000−1−5−1−51+5−1−51+5-13+52-13+52-1-13+523+52001−3−52ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ6+ζ14ζ6−ζ141−3−52−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ6−ζ14−ζ6+ζ140000−1+5−1+51−5−1+51−53−52-13−52-13−523−52-1-100−3+521−ζ2+ζ18ζ2−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−3+521ζ2−ζ18−ζ2+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1800000000000000000000000000000000000
χ11444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−1−5−1−51+5−1−51+53+52-13+52-13+523+52-1-100−3−521ζ6−ζ14−ζ6+ζ14ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−3−521−ζ6+ζ14ζ6−ζ14−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000−1+5−1+51−5−1+51−5-13−52-13−52-1-13−523−52001−3+52ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ18ζ2−ζ181−3+52−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ18−ζ2+ζ1800000000000000000000000000000000000
χ11544-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000−1−5−1−51+5−1−51+53+52-13+52-13+523+52-1-100−3−521−ζ6+ζ14ζ6−ζ14−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−3−521ζ6−ζ14−ζ6+ζ14ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000−1+5−1+51−5−1+51−5-13−52-13−52-1-13−523−52001−3+52−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ18−ζ2+ζ181−3+52ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ18ζ2−ζ1800000000000000000000000000000000000
χ11644-4-44−1+5−1−5−1+5−1−51−51−51+51+54-41−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+50000−1−5−1−51+51+5−1−5-13+52-13+5211−3−52−3−52−1−51+51−3−52-1-13+523+52-13+5211−3−52−3−520000−1+5−1+51−51−5−1+53−52-13−52-1−3+52−3+5211−1+51−5−3+5213−523−52-1-13−52-1−3+52−3+521100000000000000000000000000000000000
χ11744-4-44−1+5−1−5−1+5−1−51−51−51+51+5-441−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−50000−1−5−1−51+51+5−1−5-13+52-13+5211−3−52−3−521+5−1−51−3−5211−3−52−3−52-13+52-1-13+523+520000−1+5−1+51−51−5−1+53−52-13−52-1−3+52−3+52111−5−1+5−3+521−3+52−3+52113−52-13−523−52-1-100000000000000000000000000000000000
χ11844-4-44−1−5−1+5−1−5−1+51+51+51−51−54-41+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−50000−1−5−1−51+51+5−1−53+52-13+52-1−3−52−3−5211−1−51+5−3−5213+523+52-1-13+52-1−3−52−3−52110000−1+5−1+51−51−5−1+5-13−52-13−5211−3+52−3+52−1+51−51−3+52-1-13−523−52-13−5211−3+52−3+5200000000000000000000000000000000000
χ11944-4-44−1−5−1+5−1−5−1+51+51+51−51−5-441+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1−51+51+5−1−53+52-13+52-1−3−52−3−52111+5−1−5−3−521−3−52−3−52113+52-13+523+52-1-10000−1+5−1+51−51−5−1+5-13−52-13−5211−3+52−3+521−5−1+51−3+5211−3+52−3+52-13−52-1-13−523−5200000000000000000000000000000000000
χ1208-800088-8-80000000000000000000000−2−252+25000−2−25−2−252+252+250000000000000000000000−2+252−25000−2+25−2+252−252−2500000000000000000000000000000000000000000000000000000
χ1218-8000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000000000−2−252+25000-23+52−3−5−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000−2+252−250003−5-2−3+522ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ190000000000000000000000000000000000000000000000000
χ1228-8000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000−2−252+25000-23+52−3−52ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000−2+252−250003−5-2−3+52−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ190000000000000000000000000000000000000000000000000
χ1238-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000−2−252+250003+5-2−3−522ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19000000000000000000−2+252−25000-23−52−3+5−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000000000000000000000
χ1248-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000−2−252+250003+5-2−3−52−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19000000000000000000−2+252−25000-23−52−3+52ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1).