Finite Group Databasebeta

← Group #13107662

Character table — Group #13107662

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size112444444444444888888202020202020202020202020404040405050100100112444444444444888888202020202020202020202020404040405050100100
order12455551010101020202020510202020202224101010102020202010101010248822410101010101010102020202010102020202022241010101020202020101010102488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111-1-11111111111-1-1-1-111-1-1111111111111111111111-1-11111111111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-111111111-1-1-1-111-1-1-1-11-11-11111-1-1-1-111-1-1-111-111-111111111-1-1-1-111-1-1-1-11-11-11111-1-1-1-111-1-1-111-1
χ611-111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-11-1111-111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-11-11
χ711-111111111-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-111-11-1111-111111111-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-111-11-11
χ811-111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-111-111-111-111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-111-111-1
χ92222222222222222222220000000000000000-2-2002222222222222222222220000000000000000-2-200
χ1022-222222222-2-2-2-222-2-2-2-200000000000000002-20022-222222222-2-2-2-222-2-2-2-200000000000000002-200
χ11444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000
χ12444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000
χ134443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000004443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ144443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+52000000004443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+5200000000
χ154443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000004443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ164443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−52000000004443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−5200000000
χ17444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000
χ18444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000
χ1944-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+52000044-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+520000
χ2044-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−52000044-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−520000
χ2144-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−511002-2−1+52−1+52−1−52−1−521−521−521+521+520000000044-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−511002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ2244-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−51100-221−521−521+521+52−1+52−1+52−1−52−1−520000000044-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−51100-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ2344-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+511002-2−1−52−1−52−1+52−1+521+521+521−521−520000000044-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+511002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ2444-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+51100-221+521+521−521−52−1−52−1−52−1+52−1+520000000044-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+51100-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ2544-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−52000044-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−520000
χ2644-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+52000044-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+520000
χ274-404444-4-4-4-400004-40000000000000000000000004-404444-4-4-4-400004-4000000000000000000000000
χ284-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000004-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ294-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000004-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ304-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000004-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ314-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000004-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ324-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000004-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ334-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000004-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ344-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000004-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ354-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000004-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ36888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000
χ3788-8-2-2-2-2-2-2-2-222223322-3-30000000000000000000088-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000
χ388-80-2-2-2-222222i5−2i52i5−2i53-300−i5i5000000000000000000008-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000
χ398-80-2-2-2-22222−2i52i5−2i52i53-300i5−i5000000000000000000008-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000
χ408-80−2+25−2−253−53+5−3+5−3−52−252+250000-220000000000000000000000008-80−2+25−2−253−53+5−3+5−3−52−252+250000-22000000000000000000000000
χ418-80−2−25−2+253+53−5−3−5−3+52+252−250000-220000000000000000000000008-80−2−25−2+253+53−5−3−5−3+52+252−250000-22000000000000000000000000
χ4211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4311111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ44111111111111111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ45111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4611-111111111-1-1-1-111-1-1-1-11-11-11111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-11111-11-11-1-1-1-11111-1-1111-1-11
χ4711-111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1-11-11-1-11-1-1-1-1-1-1-1-11111-1-11111-111-11111-1-1-1-1-1-1111-11-1
χ4811-111111111-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-111-11-11-1-11-1-1-1-1-1-1-1-11111-1-111111-1-11-1-1-1-1111111-1-11-11-1
χ4911-111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-111-111-1-1-11-1-1-1-1-1-1-1-11111-1-111111-11-11111-1-1-1-111-1-11-1-11
χ502222222222222222222220000000000000000-2-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200
χ5122-222222222-2-2-2-222-2-2-2-200000000000000002-200-2-22-2-2-2-2-2-2-2-22222-2-222220000000000000000-2200
χ52444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1220000000000−1+52−1−52−1+52−1−520000-4-4-41−51+5−3+52−3−52−3+52−3−521−51+51−51−51+51+511−3+52−3−5211-2-200000000001−521+521−521+520000
χ53444−1+5−1−53−523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1-13−523+52-1-1-2-200000000001−521+521−521+520000-4-4-41−51+5−3+52−3−52−3+52−3−521−51+51−51−51+51+511−3+52−3−5211220000000000−1+52−1−52−1+52−1−520000
χ544443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-10022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-4-4-4−3+52−3−521+51−51+51−5−3+52−3−52−3+52−3+52−3−52−3−52111+51−51100-2-21−521−521+521+521−521−521+521+5200000000
χ554443−523+52−1−5−1+5−1−5−1+53−523+523−523−523+523+52-1-1−1−5−1+5-1-100-2-21−521−521+521+521−521−521+521+5200000000-4-4-4−3+52−3−521+51−51+51−5−3+52−3−52−3+52−3+52−3−52−3−52111+51−5110022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ564443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-10022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-4-4-4−3−52−3+521−51+51−51+5−3−52−3+52−3−52−3−52−3+52−3+52111−51+51100-2-21+521+521−521−521+521+521−521−5200000000
χ574443+523−52−1+5−1−5−1+5−1−53+523−523+523+523−523−52-1-1−1+5−1−5-1-100-2-21+521+521−521−521+521+521−521−5200000000-4-4-4−3−52−3+521−51+51−51+5−3−52−3+52−3−52−3−52−3+52−3+52111−51+5110022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ58444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1220000000000−1−52−1+52−1−52−1+520000-4-4-41+51−5−3−52−3+52−3−52−3+521+51−51+51+51−51−511−3−52−3+5211-2-200000000001+521−521+521−520000
χ59444−1−5−1+53+523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1-13+523−52-1-1-2-200000000001+521−521+521−520000-4-4-41+51−5−3−52−3+52−3−52−3+521+51−51+51+51−51−511−3−52−3+5211220000000000−1−52−1+52−1−52−1+520000
χ6044-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−52112-20000000000−1+52−1−521−521+520000-4-441−51+5−3+52−3−52−3+52−3−521−51+5−1+5−1+5−1−5−1−5113−523+52-1-1-2200000000001−521+52−1+52−1−520000
χ6144-4−1+5−1−53−523+523−523+52−1+5−1−51−51−51+51+5-1-1−3+52−3−5211-2200000000001−521+52−1+52−1−520000-4-441−51+5−3+52−3−52−3+52−3−521−51+5−1+5−1+5−1−5−1−5113−523+52-1-12-20000000000−1+52−1−521−521+520000
χ6244-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−511002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000-4-44−3+52−3−521+51−51+51−5−3+52−3−523−523−523+523+5211−1−5−1+5-1-100-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ6344-43−523+52−1−5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1-11+51−51100-221−521−521+521+52−1+52−1+52−1−52−1−5200000000-4-44−3+52−3−521+51−51+51−5−3+52−3−523−523−523+523+5211−1−5−1+5-1-1002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ6444-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+511002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000-4-44−3−52−3+521−51+51−51+5−3−52−3+523+523+523−523−5211−1+5−1−5-1-100-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ6544-43+523−52−1+5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1-11−51+51100-221+521+521−521−52−1−52−1−52−1+52−1+5200000000-4-44−3−52−3+521−51+51−51+5−3−52−3+523+523+523−523−5211−1+5−1−5-1-1002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ6644-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+52112-20000000000−1−52−1+521+521−520000-4-441+51−5−3−52−3+52−3−52−3+521+51−5−1−5−1−5−1+5−1+5113+523−52-1-1-2200000000001+521−52−1−52−1+520000
χ6744-4−1−5−1+53+523−523+523−52−1−5−1+51+51+51−51−5-1-1−3−52−3+5211-2200000000001+521−52−1−52−1+520000-4-441+51−5−3−52−3+52−3−52−3+521+51−5−1−5−1−5−1+5−1+5113+523−52-1-12-20000000000−1−52−1+521+521−520000
χ684-404444-4-4-4-400004-4000000000000000000000000-440-4-4-4-444440000-44000000000000000000000000
χ694-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000-440−3+52−3−521+51−5−1−5−1+53−523+52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ191-100−i5i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ704-403−523+52−1−5−1+51+51−5−3+52−3−523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ19-1100i5−i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000-440−3+52−3−521+51−5−1−5−1+53−523+52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ191-100−i5i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ714-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000-440−3+52−3−521+51−5−1−5−1+53−523+523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ191-100i5−i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ724-403−523+52−1−5−1+51+51−5−3+52−3−52−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ192ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19-1100−i5i50000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000-440−3+52−3−521+51−5−1−5−1+53−523+523ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ191-100i5−i50000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ734-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000-440−3−52−3+521−51+5−1+5−1−53+523−522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ191-100−i5i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ744-403+523−52−1+5−1−51−51+5−3−52−3+52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ19-1100i5−i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000-440−3−52−3+521−51+5−1+5−1−53+523−522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ191-100−i5i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ754-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000-440−3−52−3+521−51+5−1+5−1−53+523−52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ191-100i5−i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ764-403+523−52−1+5−1−51−51+5−3−52−3+522ζ3+2ζ7+3ζ11+3ζ19−2ζ3−2ζ7−3ζ11−3ζ19−3ζ3−3ζ7−2ζ11−2ζ193ζ3+3ζ7+2ζ11+2ζ19-1100−i5i50000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000-440−3−52−3+521−51+5−1+5−1−53+523−52−2ζ3−2ζ7−3ζ11−3ζ192ζ3+2ζ7+3ζ11+3ζ193ζ3+3ζ7+2ζ11+2ζ19−3ζ3−3ζ7−2ζ11−2ζ191-100i5−i50000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ77888-2-2-2-2-2-2-2-2-2-2-2-233-2-23300000000000000000000-8-8-8222222222222-3-322-3-300000000000000000000
χ7888-8-2-2-2-2-2-2-2-222223322-3-300000000000000000000-8-8822222222-2-2-2-2-3-3-2-23300000000000000000000
χ798-80-2-2-2-222222i5−2i52i5−2i53-300−i5i500000000000000000000-8802222-2-2-2-2−2i52i5−2i52i5-3300i5−i500000000000000000000
χ808-80-2-2-2-22222−2i52i5−2i52i53-300i5−i500000000000000000000-8802222-2-2-2-22i5−2i52i5−2i5-3300−i5i500000000000000000000
χ818-80−2+25−2−253−53+5−3+5−3−52−252+250000-22000000000000000000000000-8802−252+25−3+5−3−53−53+5−2+25−2−2500002-2000000000000000000000000
χ828-80−2−25−2+253+53−5−3−5−3+52+252−250000-22000000000000000000000000-8802+252−25−3−5−3+53+53−5−2−25−2+2500002-2000000000000000000000000

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