Finite Group Databasebeta

← Group #13103552

Character table — Group #13103552

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222224444558888888881010101010202020202020202020202020204040505050501001122222444455888888888101010101020202020202020202020202020404050505050100
order12455101051020204455101020202020202202020202881010404040404040404010104444422410101010101020204410101010202020202022020202028810104040404040404040101044444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11
χ3111111111111111111111111111-1111111111111-1-1-1-1-1-1-1111111111111111111111111111-1111111111111-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-111111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-1
χ611111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-111111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-1
χ711111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii111111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii1
χ811111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i111111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i1
χ9222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ10222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000
χ11222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+5202i−2i1−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+5202i−2i1−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000
χ12222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+520−2i2i1−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+520−2i2i1−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000
χ13222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ14222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000
χ15222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−5202i−2i1+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−5202i−2i1+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000
χ16222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−520−2i2i1+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−520−2i2i1+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000
χ1722-2222222-2-2222222-2-2-2-2-2-22222000-2-200000000000000022-2222222-2-2222222-2-2-2-2-2-22222000-2-2000000000000000
χ1822-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-20002200000000000000022-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-200022000000000000000
χ1922-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000
χ2022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000022-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000
χ2122-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000
χ2222-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000000022-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000
χ2322-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000
χ2422-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000
χ2522-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000
χ2622-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000000022-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000
χ272-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i0000000000000001+i−1−i1−i−1+i02-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i0000000000000001+i−1−i1−i−1+i0
χ282-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i000000000000000−1−i1+i−1+i1−i02-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i000000000000000−1−i1+i−1+i1−i0
χ292-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i0000000000000001−i−1+i1+i−1−i02-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i0000000000000001−i−1+i1+i−1−i0
χ302-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i000000000000000−1+i1−i−1−i1+i02-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i000000000000000−1+i1−i−1−i1+i0
χ314444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-1000004444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-100000
χ324444444-1-14400-1-1-1-1-1-1-1-1-100000-400000000000011000004444444-1-14400-1-1-1-1-1-1-1-1-100000-40000000000001100000
χ3344-44444-1-1-4-400-1-1-1-1111110000000000000000005−50000044-44444-1-1-4-400-1-1-1-1111110000000000000000005−500000
χ3444-44444-1-1-4-400-1-1-1-111111000000000000000000−550000044-44444-1-1-4-400-1-1-1-111111000000000000000000−5500000
χ354-40−1+5−1−51−51+54-4004i−4i−1+5−1−51−51+5000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7000000000000000000004-40−1+5−1−51−51+54-4004i−4i−1+5−1−51−51+5000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000
χ364-40−1+5−1−51−51+54-400−4i4i−1+5−1−51−51+50000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000004-40−1+5−1−51−51+54-400−4i4i−1+5−1−51−51+50000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000
χ374-40−1−5−1+51+51−54-4004i−4i−1−5−1+51+51−5000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19000000000000000000004-40−1−5−1+51+51−54-4004i−4i−1−5−1+51+51−5000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000
χ384-40−1−5−1+51+51−54-400−4i4i−1−5−1+51+51−50000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19000000000000000000004-40−1−5−1+51+51−54-400−4i4i−1−5−1+51+51−50000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000
χ39888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000
χ40888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000
χ4188-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−52000000000000000000000000088-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000
χ4288-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+52000000000000000000000000088-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000
χ438-8088-8-8-220000-2-2220000000000000000000000000000008-8088-8-8-220000-2-222000000000000000000000000000000
χ448-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ1900000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000
χ458-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ1900000000000000000000000008-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000
χ468-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ1900000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000
χ478-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ1900000000000000000000000008-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000
χ4811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ491111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1
χ50111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-11
χ5211111111111-1-1111111111-1-1-1-1-11i−i-1-1iiii−i−i−i−i11ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1−ii11−i−i−i−iiiii-1-1−i−iii1
χ5311111111111-1-1111111111-1-1-1-1-11−ii-1-1−i−i−i−iiiii11−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1i−i11iiii−i−i−i−i-1-1ii−i−i1
χ5411111111111-1-1111111111-1-1-1-1-1-1i−i-1-1iiii−i−i−i−i-1-1−i−iii1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111−ii11−i−i−i−iiiii11ii−i−i-1
χ5511111111111-1-1111111111-1-1-1-1-1-1−ii-1-1−i−i−i−iiiii-1-1ii−i−i1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111i−i11iiii−i−i−i−i11−i−iii-1
χ56222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+52-21−521−521+521+520-2-21−521+521−521−521+521+521−521−521+521+520000000
χ57222−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520-2-2−1+52−1−521−521−521+521+521−521−521+521+520000000-2-2-21−521+521−521+52-2-21−521+52-2-21−521+521−521+52-21−521−521+521+52-21−521−521+521+520221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ58222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+5202i−2i1−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+522−1+52−1+52−1−52−1−520−2i2i−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000
χ59222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+520−2i2i1−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000-2-2-21−521+521−521+52-2-21−521+52221−521+521−521+52-21−521−521+521+522−1+52−1+52−1−52−1−5202i−2i−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000
χ60222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−52-21+521+521−521−520-2-21+521−521+521+521−521−521+521+521−521−520000000
χ61222−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520-2-2−1−52−1+521+521+521−521−521+521+521−521−520000000-2-2-21+521−521+521−52-2-21+521−52-2-21+521−521+521−52-21+521+521−521−52-21+521+521−521−520221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ62222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−5202i−2i1+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−522−1−52−1−52−1+52−1+520−2i2i−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000
χ63222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−520−2i2i1+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000-2-2-21+521−521+521−52-2-21+521−52221+521−521+521−52-21+521+521−521−522−1−52−1−52−1+52−1+5202i−2i−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000
χ6422-2222222-2-2222222-2-2-2-2-2-22222000-2-2000000000000000-2-22-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-200022000000000000000
χ6522-2222222-2-2-2-22222-2-2-2-2-22-2-2-2-200022000000000000000-2-22-2-2-2-2-2-22222-2-2-2-222222-22222000-2-2000000000000000
χ6622-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−5221−521−521+521+52000−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000
χ6722-2−1+52−1−52−1+52−1−52221−521+5222−1+52−1−52−1+52−1−52-21−521−521+521+52-2−1+52−1+52−1−52−1−520001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000-2-221−521+521−521+52-2-2−1+52−1−52-2-21−521+521−521+522−1+52−1+52−1−52−1−5221−521−521+521+52000−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000
χ6822-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−520001−521+52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000
χ6922-2−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−52−1+52−1−52-21−521−521+521+5221−521−521+521+52000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000-2-221−521+521−521+52-2-2−1+52−1−52221−521+521−521+522−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−520001−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000
χ7022-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+5221+521+521−521−52000−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000
χ7122-2−1−52−1+52−1−52−1+52221+521−5222−1−52−1+52−1−52−1+52-21+521+521−521−52-2−1−52−1−52−1+52−1+520001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000-2-221+521−521+521−52-2-2−1−52−1+52-2-21+521−521+521−522−1−52−1−52−1+52−1+5221+521+521−521−52000−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000
χ7222-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+520001+521−52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000
χ7322-2−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+52−1−52−1+52-21+521+521−521−5221+521+521−521−52000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000-2-221+521−521+521−52-2-2−1−52−1+52221+521−521+521−522−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+520001+521−52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000
χ742-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i0000000000000001+i−1−i1−i−1+i0-220-2-222-2200−2i2i-2-222000000−2i2i−2i2i000000000000000−1−i1+i−1+i1−i0
χ752-2022-2-22-2002i−2i22-2-20000002i−2i2i−2i000000000000000−1−i1+i−1+i1−i0-220-2-222-2200−2i2i-2-222000000−2i2i−2i2i0000000000000001+i−1−i1−i−1+i0
χ762-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i0000000000000001−i−1+i1+i−1−i0-220-2-222-22002i−2i-2-2220000002i−2i2i−2i000000000000000−1+i1−i−1−i1+i0
χ772-2022-2-22-200−2i2i22-2-2000000−2i2i−2i2i000000000000000−1+i1−i−1−i1+i0-220-2-222-22002i−2i-2-2220000002i−2i2i−2i0000000000000001−i−1+i1+i−1−i0
χ784444444-1-14400-1-1-1-1-1-1-1-1-1000004000000000000-1-100000-4-4-4-4-4-4-411-4-40011111111100000-40000000000001100000
χ794444444-1-14400-1-1-1-1-1-1-1-1-100000-40000000000001100000-4-4-4-4-4-4-411-4-400111111111000004000000000000-1-100000
χ8044-44444-1-1-4-400-1-1-1-1111110000000000000000005−500000-4-44-4-4-4-41144001111-1-1-1-1-1000000000000000000−5500000
χ8144-44444-1-1-4-400-1-1-1-111111000000000000000000−5500000-4-44-4-4-4-41144001111-1-1-1-1-10000000000000000005−500000
χ824-40−1+5−1−51−51+54-4004i−4i−1+5−1−51−51+5000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000-4401−51+5−1+5−1−5-4400−4i4i1−51+5−1+5−1−50000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000
χ834-40−1+5−1−51−51+54-400−4i4i−1+5−1−51−51+50000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000-4401−51+5−1+5−1−5-44004i−4i1−51+5−1+5−1−5000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000
χ844-40−1−5−1+51+51−54-4004i−4i−1−5−1+51+51−5000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000-4401+51−5−1−5−1+5-4400−4i4i1+51−5−1−5−1+50000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000
χ854-40−1−5−1+51+51−54-400−4i4i−1−5−1+51+51−50000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000-4401+51−5−1−5−1+5-44004i−4i1+51−5−1−5−1+5000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000
χ86888−2+25−2−25−2+25−2−25-2-2−2+25−2−25001−521+521−521+52-21−521−521+521+520000000000000000000000000-8-8-82−252+252−252+25222−252+2500−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000000000000000000000000
χ87888−2−25−2+25−2−25−2+25-2-2−2−25−2+25001+521−521+521−52-21+521+521−521−520000000000000000000000000-8-8-82+252−252+252−25222+252−2500−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000000000000000000000000
χ8888-8−2+25−2−25−2+25−2−25-2-22−252+25001−521+521−521+522−1+52−1+52−1−52−1−520000000000000000000000000-8-882−252+252−252+2522−2+25−2−2500−1+52−1−52−1+52−1−52-21−521−521+521+520000000000000000000000000
χ8988-8−2−25−2+25−2−25−2+25-2-22+252−25001+521−521+521−522−1−52−1−52−1+52−1+520000000000000000000000000-8-882+252−252+252−2522−2−25−2+2500−1−52−1+52−1−52−1+52-21+521+521−521−520000000000000000000000000
χ908-8088-8-8-220000-2-222000000000000000000000000000000-880-8-8882-2000022-2-2000000000000000000000000000000
χ918-80−2+25−2−252−252+25-2200001−521+52−1+52−1−5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000
χ928-80−2+25−2−252−252+25-2200001−521+52−1+52−1−520−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ190000000000000000000000000-8802−252+25−2+25−2−252-20000−1+52−1−521−521+5202ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ190000000000000000000000000
χ938-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000
χ948-80−2−25−2+252+252−25-2200001+521−52−1−52−1+520ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ190000000000000000000000000-8802+252−25−2−25−2+252-20000−1−52−1+521+521−520−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ190000000000000000000000000

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