Finite Group Databasebeta

← Group #13101183

Character table — Group #13101183

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1122222222222444444444444442020202022444444444448888888888888840404040224444444444488888888888888404040405510101010101010101010102020202020202020202020202020100100100100
order12244551010202020208810102020404040404040404044885101020205510102020202040401010202040404040404040402020404051010202055101020202020404010102020404040404040404020204040222441010101020202020881010202040404040404040404488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1
χ31111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ5111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-1i−i111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-1i−i111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-1i−i111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-1i−i
χ6111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11−ii111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11−ii111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11−ii111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11−ii
χ7111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-1−ii111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-1−ii111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-1−ii111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-1−ii
χ8111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11i−i111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11i−i111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11i−i111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11i−i
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+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+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+52−1−52−1+521+521+521−521−521+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+52−1−52−1+521+521+521−521−521+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+52−1−52−1+521+521+521−521−521+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+52−1−52−1+521+521+521−521−521+521+521−521−520000
χ13222-2-2−1+52−1−52−1+52−1−521−521−521+521+522i−2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+522i−2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+522i−2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+522i−2i−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000
χ14222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−2i2i−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000
χ15222-2-2−1−52−1+52−1−52−1+521+521+521−521−522i−2i−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−522i−2i−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−522i−2i−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−522i−2i−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000
χ16222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−2i2i−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−2i2i−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−2i2i−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−2i2i−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000
χ1722-22-22222222200-2-2-2-200000000000022-22-22222222200-2-2-2-200000000000022-22-22222222200-2-2-2-200000000000022-22-22222222200-2-2-2-2000000000000
χ1822-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−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+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−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+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−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+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000
χ1922-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−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+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−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+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−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+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−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+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000
χ2122-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000022-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000
χ2222-2-222222-2-2-2-200-2-22200000000000022-2-222222-2-2-2-200-2-22200000000000022-2-222222-2-2-2-200-2-22200000000000022-2-222222-2-2-2-200-2-222000000000000
χ2322-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000
χ2422-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000022-2-22−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000
χ2522-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000
χ2622-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000022-2-22−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000
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
χ341111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111
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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); i = ζ5.