Finite Group Databasebeta

← Group #12130871

Character table — Group #12130871

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222222222222244444444444444888888888888888881616161616161616161616161616161616161616161616161616202020202020202040404040404040408080
order1222244445510102020202022101010101010202020202020224444444101010102020202088101010102020202020202020202020204040404040404040444444442244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-111-111-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1
χ411111111111111111111111111111111-111-111-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111
χ51111111111111111111111111111111-111-11-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1
χ61111111111111111111111111111111-111-11-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111
χ71111111111111111111111111111111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1111-1
χ1011111111111111111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-11
χ1111111111111111111-1-11111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11
χ1211111111111111111-1-11111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1
χ1311111111111111111-1-1111111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ1411111111111111111-1-1111111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1
χ1511111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-1111-1-11-1
χ1611111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-11-1-1-111-11
χ17222222222−1+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+52−1−52222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222222−1+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+52−1−522-222-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222−1+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+52−1−52-222-22-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222−1+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+52−1−52-2-22-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52221−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-2-2-21−521−521+521+521−521−521+521+522-2−1+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+52−1+52−1+52−1−52−1−52000000000000000000
χ22222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2-2221−521−521+521+521−521−521+521+52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ23222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2222-2-21−521−521+521+521−521−521+521+52-221−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ24222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222221−521−521+521+521−521−521+521+522-21−521+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+52−1+52−1+52−1−52−1−52000000000000000000
χ25222222222−1−52−1+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+52222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ26222222222−1−52−1+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+522-222-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ27222222222−1−52−1+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+52-222-22-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ28222222222−1−52−1+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+52-2-22-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52221+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ29222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-2-2-21+521+521−521−521+521+521−521−522-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ30222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2-2221+521+521−521−521+521+521−521−52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ31222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2222-2-21+521+521−521−521+521+521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ32222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222221+521+521−521−521+521+521−521−522-21+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+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3322222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-200-20000002222-2-2-2-20000000000000000000000000022-2-222-2-20000000000
χ3422222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-200-20000002222-2-2-2-200000000000000000000000000-2-222-2-2220000000000
χ3522222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2002000000-2-2-2-222220000000000000000000000000022-2-2-2-2220000000000
χ3622222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2002000000-2-2-2-2222200000000000000000000000000-2-22222-2-20000000000
χ3722-22-22-22-22222222200-2-22-22-22-22-2-2-200000002-200000000000000000000002-22-2000000002-22-20000020-2000000
χ3822-22-22-22-22222222200-2-22-22-22-22-2-2-200000002-200000000000000000000002-22-200000000-22-2200000-202000000
χ3922-22-22-22-22222222200-2-22-22-22-22-2-2-20000000-220000000000000000000000-22-22000000002-22-200000-202000000
χ4022-22-22-22-22222222200-2-22-22-22-22-2-2-20000000-220000000000000000000000-22-2200000000-22-220000020-2000000
χ4122-22-2-22-222222-2-2-2-200-2-22-22-2-22-22220200-200000000000000002200-2-200000000000000002-2-2200000000002-200
χ4222-22-2-22-222222-2-2-2-200-2-22-22-2-22-22220200-200000000000000002200-2-20000000000000000-222-20000000000-2200
χ4322-22-2-22-222222-2-2-2-200-2-22-22-2-22-22220-20020000000000000000-2-2002200000000000000002-2-220000000000-2200
χ4422-22-2-22-222222-2-2-2-200-2-22-22-2-22-22220-20020000000000000000-2-200220000000000000000-222-200000000002-200
χ4522-2-222-2-222222222200-2-2-22-22-22-22-2-2000002-2000000000000000000002-22-200000000000000002-22-220-20000000
χ4622-2-222-2-222222222200-2-2-22-22-22-22-2-2000002-2000000000000000000002-22-20000000000000000-22-22-2020000000
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χ4822-2-222-2-222222222200-2-2-22-22-22-22-2-200000-2200000000000000000000-22-220000000000000000-22-2220-20000000
χ4922-2-22-222-22222-2-2-2-200-2-2-22-222-22-222200-20000000000000002200-2-200000000000000000000002-2-2200002-20000
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χ5122-2-22-222-22222-2-2-2-200-2-2-22-222-22-222-2002000000000000000-2-2002200000000000000000000002-2-220000-220000
χ5222-2-22-222-22222-2-2-2-200-2-2-22-222-22-222-2002000000000000000-2-200220000000000000000000000-222-200002-20000
χ5344444-4-4-4-4−1+5−1−5−1+5−1−51−51−51+51+544−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+500-4000000−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000
χ5444444-4-4-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51+50040000001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000
χ5544444-4-4-4-4−1−5−1+5−1−5−1+51+51+51−51−544−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−500-4000000−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000
χ5644444-4-4-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51−50040000001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000
χ57444-4-444-4-4444444440044-4-4-4-4-4-4-4-4440000000000000000000000000000000000000000000000000000000000000
χ58444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−50000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000
χ59444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000
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χ61444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+50000000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000
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χ65444-4-4-4-444−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51−5000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000
χ66444-4-4-4-444−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000
χ6744-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+500000004-40000000000000000000000−1+51−5−1−51+500000000000000000000000000
χ6844-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51+50000000-4400000000000000000000001−5−1+51+5−1−500000000000000000000000000
χ6944-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−500000004-40000000000000000000000−1−51+5−1+51−500000000000000000000000000
χ7044-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51−50000000-4400000000000000000000001+5−1−51−5−1+500000000000000000000000000
χ7144-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5001−51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−50400-40000000000000000−1+5−1−5001−51+50000000000000000000000000000000000
χ7244-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5001−51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−50-400400000000000000001−51+500−1+5−1−50000000000000000000000000000000000
χ7344-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5001+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+50400-40000000000000000−1−5−1+5001+51−50000000000000000000000000000000000
χ7444-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5001+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+50-400400000000000000001+51−500−1−5−1+50000000000000000000000000000000000
χ7544-4-444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000004-400000000000000000000−1+51−5−1−51+5000000000000000000000000000000
χ7644-4-444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+500000-44000000000000000000001−5−1+51+5−1−5000000000000000000000000000000
χ7744-4-444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000004-400000000000000000000−1−51+5−1+51−5000000000000000000000000000000
χ7844-4-444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−500000-44000000000000000000001+5−1−51−5−1+5000000000000000000000000000000
χ7944-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5001−51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5400-4000000000000000−1+5−1−5001−51+5000000000000000000000000000000000000
χ8044-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5001−51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5-40040000000000000001−51+500−1+5−1−5000000000000000000000000000000000000
χ8144-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5001+51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5400-4000000000000000−1−5−1+5001+51−5000000000000000000000000000000000000
χ8244-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5001+51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5-40040000000000000001+51−500−1−5−1+5000000000000000000000000000000000000
χ838-8000000088-8-800004-40000000000000000000004-44-4000000000000000000000000000000000000000000000000
χ848-8000000088-8-80000-44000000000000000000000-44-44000000000000000000000000000000000000000000000000
χ858-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ74-4000000000000000000000−1+51−5−1−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000000
χ868-80000000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7-440000000000000000000001−5−1+51+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000000
χ878-80000000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ74-4000000000000000000000−1+51−5−1−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000000
χ888-80000000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7-440000000000000000000001−5−1+51+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000000
χ898-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ194-4000000000000000000000−1−51+5−1+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000000
χ908-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-440000000000000000000001+5−1−51−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000000
χ918-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ194-4000000000000000000000−1−51+5−1+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000000
χ928-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-440000000000000000000001+5−1−51−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000000

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