Finite Group Databasebeta

← Group #11716989

Character table — Group #11716989

Order 800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222222222224444444444444444444444444444444444444444202020202020202020202020202020202020202050505050
order122244555510101010101010101010101055551010101010101010101010102020202020202020202020202020202020202020202020204444202020202020202020202020202020204444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ61111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-111
χ71111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111
χ81111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ922222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5202020000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000
χ1022222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520-20-200001−521−521+521+5200001−521−521+521+520000
χ1122222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+52−1+52−1+52−1+52−1+5202020000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+520000
χ1222222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+52−1+52−1+52−1+52−1+520-20-200001+521+521−521−5200001+521+521−521−520000
χ13222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−522020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200000000
χ14222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-20-201−521−521+521+5200001−521−521+521+5200000000
χ15222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+522020−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+5200000000
χ16222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+52-20-201+521+521−521−5200001+521+521−521−5200000000
χ172222-2-222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+52020-200001−521−521+521+520000−1+52−1+52−1−52−1−520000
χ182222-2-222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+520-2020000−1+52−1+52−1−52−1−5200001−521−521+521+520000
χ192222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+521−521−521−521−521−521−521−521−52020-200001+521+521−521−520000−1−52−1−52−1+52−1+520000
χ202222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+521−521−521−521−521−521−521−521−520-2020000−1−52−1−52−1+52−1+5200001+521+521−521−520000
χ212222-2-2−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5220-201−521−521+521+520000−1+52−1+52−1−52−1−5200000000
χ222222-2-2−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2020−1+52−1+52−1−52−1−5200001−521−521+521+5200000000
χ232222-2-2−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5220-201+521+521−521−520000−1−52−1−52−1+52−1+5200000000
χ242222-2-2−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2020−1−52−1−52−1+52−1+5200001+521+521−521−5200000000
χ2522-2-2002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000002i−2i
χ2622-2-2002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000−2i2i
χ272-22-20022222222-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000002-200
χ282-22-20022222222-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000-2200
χ292-2-222i−2i2222-2-2-2-22222-2-2-2-22222-22-22-22-22-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302-2-222i−2i22−1+52−1−52-2-21−521+5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−521+521+522i−2i2i−2i−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ312-2-222i−2i22−1+52−1−52-2-21−521+5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−521+521+522i−2i2i−2i−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ322-2-222i−2i22−1−52−1+52-2-21+521−5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−522i−2i2i−2i−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ332-2-222i−2i22−1−52−1+52-2-21+521−5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−522i−2i2i−2i−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ342-2-222i−2i−1+52−1−52221−521+52-2-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521+521−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ72i−2i2i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ352-2-222i−2i−1+52−1−52221−521+52-2-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521+521−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ72i−2i2i−2i−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ362-2-222i−2i−1−52−1+52221+521−52-2-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521−521+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ192i−2i2i−2i−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ190000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ372-2-222i−2i−1−52−1+52221+521−52-2-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521−521+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ192i−2i2i−2i−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ190000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ382-2-22−2i2i2222-2-2-2-22222-2-2-2-22222-22-22-22-22-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ392-2-22−2i2i22−1+52−1−52-2-21−521+5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−521+521+52−2i2i−2i2iζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ402-2-22−2i2i22−1+52−1−52-2-21−521+5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−52−1+521−52−1+521+52−1−521+52−1−521−521−521+521+52−2i2i−2i2iζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ412-2-22−2i2i22−1−52−1+52-2-21+521−5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−52−2i2i−2i2iζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ422-2-22−2i2i22−1−52−1+52-2-21+521−5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+52−1−521+52−1−521−52−1+521−52−1+521+521+521−521−52−2i2i−2i2iζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ432-2-22−2i2i−1+52−1−52221−521+52-2-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521+521−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−2i2i−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ442-2-22−2i2i−1+52−1−52221−521+52-2-2−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−521+521−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−2i2i−2i2iζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ452-2-22−2i2i−1−52−1+52221+521−52-2-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521−521+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−2i2i−2i2iζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ190000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ462-2-22−2i2i−1−52−1+52221+521−52-2-2−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521−521+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−2i2i−2i2iζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ190000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ47444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+523−523−52-1-1-1-13+523+523−52-1-13+52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−53−523−523−523−52-1-1-1-1-1-1-1-13+523+523+523+52000000000000000000000000
χ48444444−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5-13+523−52-1-1-13+523+523−523−52-1-1-13+523−52-1−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5-1-1-1-13+523+523+523+523−523−523−523−52-1-1-1-1000000000000000000000000
χ49444444−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5-13−523+52-1-1-13−523−523+523+52-1-1-13−523+52-1−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5-1-1-1-13−523−523−523−523+523+523+523+52-1-1-1-1000000000000000000000000
χ50444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−523+523+52-1-1-1-13−523−523+52-1-13−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+53+523+523+523+52-1-1-1-1-1-1-1-13−523−523−523−52000000000000000000000000
χ514444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+523−523−52-1-1-1-13+523+523−52-1-13+521−51−51+51+51−51−51+51+5−3+52−3+52−3+52−3+5211111111−3−52−3−52−3−52−3−52000000000000000000000000
χ524444-4-4−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5-13+523−52-1-1-13+523+523−523−52-1-1-13+523−52-11−51−51+51+51+51+51−51−51111−3−52−3−52−3−52−3−52−3+52−3+52−3+52−3+521111000000000000000000000000
χ534444-4-4−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5-13−523+52-1-1-13−523−523+523+52-1-1-13−523+52-11+51+51−51−51−51−51+51+51111−3+52−3+52−3+52−3+52−3−52−3−52−3−52−3−521111000000000000000000000000
χ544444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−523+523+52-1-1-1-13−523−523+52-1-13−521+51+51−51−51+51+51−51−5−3−52−3−52−3−52−3−5211111111−3+52−3+52−3+52−3+52000000000000000000000000
χ5544-4-40044−1+5−1−5-4-41−51+5-4-41−51+544−1+5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000
χ5644-4-40044−1−5−1+5-4-41+51−5-4-41+51−544−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000
χ5744-4-400−1+5−1−5441−51+5-4-41−51+5-4-4−1+5−1−544−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000
χ5844-4-400−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52000000005+52−5−525+52−5−525−55−55−55−55−52−5+525−52−5+52000000000000000000000000
χ5944-4-400−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+5200000000−5−525+52−5−525+52−55−55−55−55−5+525−52−5+525−52000000000000000000000000
χ6044-4-400−1+5−1−5−1−5−1+51−51+51+51−51−51+51+51−5−1+5−1−5−1−5−1+5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1000000005−55−55−52−5+525−52−5+52−5−525+52−5−525+52−55−55000000000000000000000000
χ6144-4-400−1+5−1−5−1−5−1+51−51+51+51−51−51+51+51−5−1+5−1−5−1−5−1+5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-100000000−55−55−5+525−52−5+525−525+52−5−525+52−5−525−55−5000000000000000000000000
χ6244-4-400−1−5−1+5441+51−5-4-41+51−5-4-4−1−5−1+544−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ6344-4-400−1−5−1+5−1+5−1−51+51−51−51+51+51−51−51+5−1−5−1+5−1+5−1−5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1000000005−55−5−5−525+52−5−525+525−52−5+525−52−5+52−55−55000000000000000000000000
χ6444-4-400−1−5−1+5−1+5−1−51+51−51−51+51+51−51−51+5−1−5−1+5−1+5−1−5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-100000000−55−555+52−5−525+52−5−52−5+525−52−5+525−525−55−5000000000000000000000000
χ6544-4-400−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52000000005−52−5+525−52−5+52−55−55−55−555+52−5−525+52−5−52000000000000000000000000
χ6644-4-400−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−5200000000−5+525−52−5+525−525−55−55−55−5−5−525+52−5−525+52000000000000000000000000
χ674-44-40044−1+5−1−544−1+5−1−5-4-41−51+5-4-41−51+5−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−51−51+51+5000000000000000000000000000000000000000000000000
χ684-44-40044−1−5−1+544−1−5−1+5-4-41+51−5-4-41+51−5−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5000000000000000000000000000000000000000000000000
χ694-44-400−1+5−1−544−1+5−1−5441−51+5-4-41−51+5-4-4−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+5000000000000000000000000000000000000000000000000
χ704-44-400−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+53−52-1-13+523−52−3+52-11-113+52−3−52−3+5211−3−52000000003ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19i5−i5−i5i5i5−i5−i5i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19000000000000000000000000
χ714-44-400−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+53−52-1-13+523−52−3+52-11-113+52−3−52−3+5211−3−5200000000−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−i5i5i5−i5−i5i5i5−i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19000000000000000000000000
χ724-44-400−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+51−51+51+51−51−51+51+51−5-13+523−52-1-113+52−3−523−52−3+52-111−3−52−3+52100000000i5−i5−i5i52ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−i5i5i5−i5000000000000000000000000
χ734-44-400−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+51−51+51+51−51−51+51+51−5-13+523−52-1-113+52−3−523−52−3+52-111−3−52−3+52100000000−i5i5i5−i5−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19i5−i5−i5i5000000000000000000000000
χ744-44-400−1−5−1+544−1−5−1+5441+51−5-4-41+51−5-4-4−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−5000000000000000000000000000000000000000000000000
χ754-44-400−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−51+51−51−51+51+51−51−51+5-13−523+52-1-113−52−3+523+52−3−52-111−3+52−3−52100000000i5−i5−i5i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−i5i5i5−i5000000000000000000000000
χ764-44-400−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−51+51−51−51+51+51−51−51+5-13−523+52-1-113−52−3+523+52−3−52-111−3+52−3−52100000000−i5i5i5−i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19i5−i5−i5i5000000000000000000000000
χ774-44-400−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−53+52-1-13−523+52−3−52-11-113−52−3+52−3−5211−3+5200000000−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19i5−i5−i5i5i5−i5−i5i5−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19000000000000000000000000
χ784-44-400−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−53+52-1-13−523+52−3−52-11-113−52−3+52−3−5211−3+52000000002ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19−i5i5i5−i5−i5i5i5−i53ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19000000000000000000000000
χ794-4-444i−4i−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+52−3+523−521-11-1−3−523+52−3+5211−3−52−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19−i−iii−i−iii2ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ19000000000000000000000000
χ804-4-444i−4i−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5-13+523−52-11-1−3−523+52−3+523−521-11−3−52−3+521−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−i−iii2ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19−i−iii000000000000000000000000
χ814-4-444i−4i−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5-13−523+52-11-1−3+523−52−3−523+521-11−3+52−3−521−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−i−iiiζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ19−i−iii000000000000000000000000
χ824-4-444i−4i−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−523+521-11-1−3+523−52−3−5211−3+52−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ19−i−iii−i−iiiζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19000000000000000000000000
χ834-4-44−4i4i−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+52−3+523−521-11-1−3−523+52−3+5211−3−522ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19ii−i−iii−i−i−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19000000000000000000000000
χ844-4-44−4i4i−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5-13+523−52-11-1−3−523+52−3+523−521-11−3−52−3+5212ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19ii−i−i−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19ii−i−i000000000000000000000000
χ854-4-44−4i4i−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5-13−523+52-11-1−3+523−52−3−523+521-11−3+52−3−5212ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7ii−i−i−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19ii−i−i000000000000000000000000
χ864-4-44−4i4i−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−523+521-11-1−3+523−52−3−5211−3+522ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19ii−i−iii−i−i−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.