Finite Group Databasebeta

← Group #13103785

Character table — Group #13103785

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222224444448888888810101010101020202020202020202020202020202020201001001001122222444444888888881010101010102020202020202020202020202020202020100100100
order12255101051010101010551010101010104420202020488202020202020404040404040404048822210101010101010101010101010101010101044202020204882020202020204040404040404040488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-11111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111-11111-1-1-1-111111111-1-1-1111111111111111111111111111-11111-1-1-1-111111111-1-1-1
χ4111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1-1-11i−i-1-11111iiii−i−i−i−i-1i−i111111111111111111111-1-1-1-1-1-11i−i-1-11111iiii−i−i−i−i-1i−i
χ6111111111111111111111-1-1-1-1-1-11−ii-1-11111−i−i−i−iiiii-1−ii111111111111111111111-1-1-1-1-1-11−ii-1-11111−i−i−i−iiiii-1−ii
χ7111111111111111111111-1-1-1-1-1-1-1i−i-1-1-1-1-1-1iiii−i−i−i−i1−ii111111111111111111111-1-1-1-1-1-1-1i−i-1-1-1-1-1-1iiii−i−i−i−i1−ii
χ8111111111111111111111-1-1-1-1-1-1-1−ii-1-1-1-1-1-1−i−i−i−iiiii1i−i111111111111111111111-1-1-1-1-1-1-1−ii-1-1-1-1-1-1−i−i−i−iiiii1i−i
χ9222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52022−1+52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52022−1+52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ10222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−520-2-2−1+52−1−5200001−521−521+521+521−521−521+521+52000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−520-2-2−1+52−1−5200001−521−521+521+521−521−521+521+52000
χ11222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+5202i−2i1−521+520000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+5202i−2i1−521+520000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000
χ12222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+520−2i2i1−521+520000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+520−2i2i1−521+520000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000
χ13222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52022−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52022−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ14222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+520-2-2−1−52−1+5200001+521+521−521−521+521+521−521−52000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+520-2-2−1−52−1+5200001+521+521−521−521+521+521−521−52000
χ15222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−5202i−2i1+521−520000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−5202i−2i1+521−520000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000
χ16222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−520−2i2i1+521−520000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−520−2i2i1+521−520000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000
χ1722-222222-2-2-2-22222-2-22-2-22-22222000-2-200000000000000022-222222-2-2-2-22222-2-22-2-22-22222000-2-2000000000000000
χ1822-222222-2-2-2-22222-2-22-2-2-22-2-2-2-20002200000000000000022-222222-2-2-2-22222-2-22-2-2-22-2-2-2-200022000000000000000
χ1922-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800022-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ2022-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800022-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ2122-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700022-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000
χ2222-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700022-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000
χ2322-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400022-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ2422-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400022-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ2522-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900022-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000
χ2622-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900022-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000
χ274444444-144-1-1-1-1-1-1-1-1-1-1-100000040000-1-1-1-1000000000004444444-144-1-1-1-1-1-1-1-1-1-1-100000040000-1-1-1-100000000000
χ284444444-144-1-1-1-1-1-1-1-1-1-1-1000000-400001111000000000004444444-144-1-1-1-1-1-1-1-1-1-1-1000000-40000111100000000000
χ2944-44444-1-4-411-1-1-1-111-1110000000000055−5−50000000000044-44444-1-4-411-1-1-1-111-1110000000000055−5−500000000000
χ3044-44444-1-4-411-1-1-1-111-11100000000000−5−5550000000000044-44444-1-4-411-1-1-1-111-11100000000000−5−55500000000000
χ314-4044-4-440000-444-400-400000000000000000000000000004-4044-4-440000-444-400-40000000000000000000000000000
χ324-4044-4-4-1005−51-1-115−515−500000000000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000004-4044-4-4-1005−51-1-115−515−500000000000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ1900000000000
χ334-4044-4-4-1005−51-1-115−515−500000000000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000004-4044-4-4-1005−51-1-115−515−500000000000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ1900000000000
χ344-4044-4-4-100−551-1-11−551−5500000000000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000004-4044-4-4-100−551-1-11−551−5500000000000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ1900000000000
χ354-4044-4-4-100−551-1-11−551−5500000000000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000004-4044-4-4-100−551-1-11−551−5500000000000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ1900000000000
χ364-40−1+5−1−51−51+540000-4−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000004-40−1+5−1−51−51+540000-4−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000
χ374-40−1+5−1−51−51+540000-4−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000004-40−1+5−1−51−51+540000-4−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000
χ384-40−1−5−1+51+51−540000-4−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000004-40−1−5−1+51+51−540000-4−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000
χ394-40−1−5−1+51+51−540000-4−1−5−1+51+5001−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000004-40−1−5−1+51+51−540000-4−1−5−1+51+5001−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000
χ40888−2+25−2−25−2+25−2−25-2−2+25−2−25-2-2-21−521+521−521−521−521+521+521+5200000000000000000000000000888−2+25−2−25−2+25−2−25-2−2+25−2−25-2-2-21−521+521−521−521−521+521+521+5200000000000000000000000000
χ41888−2−25−2+25−2−25−2+25-2−2−25−2+25-2-2-21+521−521+521+521+521−521−521−5200000000000000000000000000888−2−25−2+25−2−25−2+25-2−2−25−2+25-2-2-21+521−521+521+521+521−521−521−5200000000000000000000000000
χ4288-8−2+25−2−25−2+25−2−25-22−252+2522-21−521+521−52−1+52−1+521+52−1−52−1−520000000000000000000000000088-8−2+25−2−25−2+25−2−25-22−252+2522-21−521+521−52−1+52−1+521+52−1−52−1−5200000000000000000000000000
χ4388-8−2−25−2+25−2−25−2+25-22+252−2522-21+521−521+52−1−52−1−521−52−1+52−1+520000000000000000000000000088-8−2−25−2+25−2−25−2+25-22+252−2522-21+521−521+52−1−52−1−521−52−1+52−1+5200000000000000000000000000
χ448-80−2+25−2−252−252+25-20025−2521−521+52−1+525−52−5+52−1−52−5−525+52000000000000000000000000008-80−2+25−2−252−252+25-20025−2521−521+52−1+525−52−5+52−1−52−5−525+5200000000000000000000000000
χ458-80−2+25−2−252−252+25-200−252521−521+52−1+52−5+525−52−1−525+52−5−52000000000000000000000000008-80−2+25−2−252−252+25-200−252521−521+52−1+52−5+525−52−1−525+52−5−5200000000000000000000000000
χ468-80−2−25−2+252+252−25-20025−2521+521−52−1−52−5−525+52−1+525−52−5+52000000000000000000000000008-80−2−25−2+252+252−25-20025−2521+521−52−1−52−5−525+52−1+525−52−5+5200000000000000000000000000
χ478-80−2−25−2+252+252−25-200−252521+521−52−1−525+52−5−52−1+52−5+525−52000000000000000000000000008-80−2−25−2+252+252−25-200−252521+521−52−1−525+52−5−52−1+52−5+525−5200000000000000000000000000
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
χ491111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111
χ50111111111111111111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111111-1-1
χ52111111111111111111111-1-1-1-1-1-11i−i-1-11111iiii−i−i−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1−ii11-1-1-1-1−i−i−i−iiiii1−ii
χ53111111111111111111111-1-1-1-1-1-11−ii-1-11111−i−i−i−iiiii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1i−i11-1-1-1-1iiii−i−i−i−i1i−i
χ54111111111111111111111-1-1-1-1-1-1-1i−i-1-1-1-1-1-1iiii−i−i−i−i1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−ii111111−i−i−i−iiiii-1i−i
χ55111111111111111111111-1-1-1-1-1-1-1−ii-1-1-1-1-1-1−i−i−i−iiiii1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111i−i111111iiii−i−i−i−i-1−ii
χ56222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52022−1+52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+521−521−521−521+521+521+52-2-21−521−521+521+520-2-21−521+5200001−521−521+521+521−521−521+521+52000
χ57222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−520-2-2−1+52−1−5200001−521−521+521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+521−521−521−521+521+521+52-2-21−521−521+521+520221−521+520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ58222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+5202i−2i1−521+520000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+521−521−521−521+521+521+5222−1+52−1+52−1−52−1−520−2i2i−1+52−1−520000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000
χ59222−1+52−1−52−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+520−2i2i1−521+520000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000-2-2-21−521+521−521+52-21−521+52-2-2-21−521+521−521−521−521+521+521+5222−1+52−1+52−1−52−1−5202i−2i−1+52−1−520000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000
χ60222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52022−1−52−1+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−521+521+521+521−521−521−52-2-21+521+521−521−520-2-21+521−5200001+521+521−521−521+521+521−521−52000
χ61222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+520-2-2−1−52−1+5200001+521+521−521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−521+521+521+521−521−521−52-2-21+521+521−521−520221+521−520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ62222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−5202i−2i1+521−520000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−521+521+521+521−521−521−5222−1−52−1−52−1+52−1+520−2i2i−1−52−1+520000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000
χ63222−1−52−1+52−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−520−2i2i1+521−520000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000-2-2-21+521−521+521−52-21+521−52-2-2-21+521−521+521+521+521−521−521−5222−1−52−1−52−1+52−1+5202i−2i−1−52−1+520000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000
χ6422-222222-2-2-2-22222-2-22-2-22-22222000-2-2000000000000000-2-22-2-2-2-2-22222-2-2-2-222-222-22-2-2-2-200022000000000000000
χ6522-222222-2-2-2-22222-2-22-2-2-22-2-2-2-200022000000000000000-2-22-2-2-2-2-22222-2-2-2-222-2222-22222000-2-2000000000000000
χ6622-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000-2-221−521+521−521+52-2−1+52−1−5222-21−521+521−52−1+52−1+521+52−1−52−1−52-221−521−521+521+52000−1+52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ6722-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−520001−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000-2-221−521+521−521+52-2−1+52−1−5222-21−521+521−52−1+52−1+521+52−1−52−1−52-221−521−521+521+52000−1+52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ6822-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000-2-221−521+521−521+52-2−1+52−1−5222-21−521+521−52−1+52−1+521+52−1−52−1−522-2−1+52−1+52−1−52−1−520001−521+520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000
χ6922-2−1+52−1−52−1+52−1−5221−521+52-2-22−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+52000−1+52−1−520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000-2-221−521+521−521+52-2−1+52−1−5222-21−521+521−52−1+52−1+521+52−1−52−1−522-2−1+52−1+52−1−52−1−520001−521+520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000
χ7022-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000-2-221+521−521+521−52-2−1−52−1+5222-21+521−521+52−1−52−1−521−52−1+52−1+52-221+521+521−521−52000−1−52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ7122-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+520001+521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000-2-221+521−521+521−52-2−1−52−1+5222-21+521−521+52−1−52−1−521−52−1+52−1+52-221+521+521−521−52000−1−52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ7222-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000-2-221+521−521+521−52-2−1−52−1+5222-21+521−521+52−1−52−1−521−52−1+52−1+522-2−1−52−1−52−1+52−1+520001+521−520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000
χ7322-2−1−52−1+52−1−52−1+5221+521−52-2-22−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−52000−1−52−1+520000−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000-2-221+521−521+521−52-2−1−52−1+5222-21+521−521+52−1−52−1−521−52−1+52−1+522-2−1−52−1−52−1+52−1+520001+521−520000ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000
χ744444444-144-1-1-1-1-1-1-1-1-1-1-100000040000-1-1-1-100000000000-4-4-4-4-4-4-41-4-411111111111000000-40000111100000000000
χ754444444-144-1-1-1-1-1-1-1-1-1-1-1000000-40000111100000000000-4-4-4-4-4-4-41-4-41111111111100000040000-1-1-1-100000000000
χ7644-44444-1-4-411-1-1-1-111-1110000000000055−5−500000000000-4-44-4-4-4-4144-1-11111-1-11-1-100000000000−5−55500000000000
χ7744-44444-1-4-411-1-1-1-111-11100000000000−5−55500000000000-4-44-4-4-4-4144-1-11111-1-11-1-10000000000055−5−500000000000
χ784-4044-4-440000-444-400-40000000000000000000000000000-440-4-444-400004-4-440040000000000000000000000000000
χ794-4044-4-4-1005−51-1-115−515−500000000000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ1900000000000-440-4-444100−55-111-1−55-1−5500000000000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ1900000000000
χ804-4044-4-4-1005−51-1-115−515−500000000000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ1900000000000-440-4-444100−55-111-1−55-1−5500000000000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ1900000000000
χ814-4044-4-4-100−551-1-11−551−5500000000000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ1900000000000-440-4-4441005−5-111-15−5-15−500000000000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ1900000000000
χ824-4044-4-4-100−551-1-11−551−5500000000000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ1900000000000-440-4-4441005−5-111-15−5-15−500000000000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ1900000000000
χ834-40−1+5−1−51−51+540000-4−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000-4401−51+5−1+5−1−5-4000041−51+5−1+500−1−500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000
χ844-40−1+5−1−51−51+540000-4−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000-4401−51+5−1+5−1−5-4000041−51+5−1+500−1−50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000
χ854-40−1−5−1+51+51−540000-4−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000-4401+51−5−1−5−1+5-4000041+51−5−1−500−1+50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000
χ864-40−1−5−1+51+51−540000-4−1−5−1+51+5001−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000-4401+51−5−1−5−1+5-4000041+51−5−1−500−1+500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000
χ87888−2+25−2−25−2+25−2−25-2−2+25−2−25-2-2-21−521+521−521−521−521+521+521+5200000000000000000000000000-8-8-82−252+252−252+2522−252+25222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200000000000000000000000000
χ88888−2−25−2+25−2−25−2+25-2−2−25−2+25-2-2-21+521−521+521+521+521−521−521−5200000000000000000000000000-8-8-82+252−252+252−2522+252−25222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5200000000000000000000000000
χ8988-8−2+25−2−25−2+25−2−25-22−252+2522-21−521+521−52−1+52−1+521+52−1−52−1−5200000000000000000000000000-8-882−252+252−252+252−2+25−2−25-2-22−1+52−1−52−1+521−521−52−1−521+521+5200000000000000000000000000
χ9088-8−2−25−2+25−2−25−2+25-22+252−2522-21+521−521+52−1−52−1−521−52−1+52−1+5200000000000000000000000000-8-882+252−252+252−252−2−25−2+25-2-22−1−52−1+52−1−521+521+52−1+521−521−5200000000000000000000000000
χ918-80−2+25−2−252−252+25-20025−2521−521+52−1+525−52−5+52−1−52−5−525+5200000000000000000000000000-8802−252+25−2+25−2−25200−2525-2−1+52−1−521−52−5+525−521+525+52−5−5200000000000000000000000000
χ928-80−2+25−2−252−252+25-200−252521−521+52−1+52−5+525−52−1−525+52−5−5200000000000000000000000000-8802−252+25−2+25−2−2520025−25-2−1+52−1−521−525−52−5+521+52−5−525+5200000000000000000000000000
χ938-80−2−25−2+252+252−25-20025−2521+521−52−1−52−5−525+52−1+525−52−5+5200000000000000000000000000-8802+252−25−2−25−2+25200−2525-2−1−52−1+521+525+52−5−521−52−5+525−5200000000000000000000000000
χ948-80−2−25−2+252+252−25-200−252521+521−52−1−525+52−5−52−1+52−5+525−5200000000000000000000000000-8802+252−25−2−25−2+2520025−25-2−1−52−1+521+52−5−525+521−525−52−5+5200000000000000000000000000

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