Finite Group Databasebeta

← Group #13103783

Character table — Group #13103783

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222224444448888888810101010101020202020202020202020202020202020201001001001122222444444888888881010101010102020202020202020202020202020202020100100100
order12255101051010101010551010101010104420202020288101010102020404040404040404028822210101010101010101010101010101010101044202020202881010101020204040404040404040288
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
χ3111111111111111111111111111-111-1-1-1-11111111111-1-1-1111111111111111111111111111-111-1-1-1-11111111111-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1-1-11i−i1111-1-1iiii−i−i−i−i-1i−i111111111111111111111-1-1-1-1-1-11i−i1111-1-1iiii−i−i−i−i-1i−i
χ6111111111111111111111-1-1-1-1-1-11−ii1111-1-1−i−i−i−iiiii-1−ii111111111111111111111-1-1-1-1-1-11−ii1111-1-1−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+52−1−52−1−520220000−1+52−1−52−1+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+52−1−52−1−520220000−1+52−1−52−1+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+52−1−52−1−520-2-20000−1+52−1−521−521−521+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+52−1−52−1−520-2-20000−1+52−1−521−521−521+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−2i00001−521+52−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−2i00001−521+52−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+520−2i2i00001−521+52ζ11+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+520−2i2i00001−521+52ζ11+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+520220000−1−52−1+52−1−52−1−52−1+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+520220000−1−52−1+52−1−52−1−52−1+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+520-2-20000−1−52−1+521+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+520-2-20000−1−52−1+521+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−2i00001+521−52−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−2i00001+521−52−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+521−521−520−2i2i00001+521−52ζ3+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+521−521−520−2i2i00001+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000
χ1722-222222-2-22-2-2222-2-22-2-22-222220000000-2-20000000000022-222222-2-22-2-2222-2-22-2-22-222220000000-2-200000000000
χ1822-222222-2-22-2-2222-2-22-2-2-22-2-2-2-20000000220000000000022-222222-2-22-2-2222-2-22-2-2-22-2-2-2-200000002200000000000
χ1922-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ2022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ2122-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000
χ2222-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700022-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000
χ2322-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ2422-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ2522-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000
χ2622-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000
χ274444444-144-1-1-1-1-1-1-1-1-1-1-1000000400-1-1-1-100000000000004444444-144-1-1-1-1-1-1-1-1-1-1-1000000400-1-1-1-10000000000000
χ284444444-144-1-1-1-1-1-1-1-1-1-1-1000000-400111100000000000004444444-144-1-1-1-1-1-1-1-1-1-1-1000000-40011110000000000000
χ2944-44444-1-4-4-111-1-1-111-11100000000055−5−5000000000000044-44444-1-4-4-111-1-1-111-11100000000055−5−50000000000000
χ3044-44444-1-4-4-111-1-1-111-111000000000−5−555000000000000044-44444-1-4-4-111-1-1-111-111000000000−5−5550000000000000
χ314-4044-4-4400-40044-400-400000000000000000000000000004-4044-4-4400-40044-400-40000000000000000000000000000
χ324-4044-4-4-10015−5-1-115−515−5000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ1800000000000004-4044-4-4-10015−5-1-115−515−5000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000
χ334-4044-4-4-10015−5-1-115−515−5000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ1800000000000004-4044-4-4-10015−5-1-115−515−5000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000
χ344-4044-4-4-1001−55-1-11−551−55000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ1800000000000004-4044-4-4-1001−55-1-11−551−55000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000
χ354-4044-4-4-1001−55-1-11−551−55000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ1800000000000004-4044-4-4-1001−55-1-11−551−55000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000
χ364-40−1+5−1−51−51+5400-400−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000004-40−1+5−1−51−51+5400-400−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000
χ374-40−1+5−1−51−51+5400-400−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000004-40−1+5−1−51−51+5400-400−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000
χ384-40−1−5−1+51+51−5400-400−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000004-40−1−5−1+51+51−5400-400−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000
χ394-40−1−5−1+51+51−5400-400−1−5−1+51+5001−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000004-40−1−5−1+51+51−5400-400−1−5−1+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+25-2221−521+521−52−1+52−1+521+52−1−52−1−520000000000000000000000000088-8−2+25−2−25−2+25−2−25-22−252+25-2221−521+521−52−1+52−1+521+52−1−52−1−5200000000000000000000000000
χ4388-8−2−25−2+25−2−25−2+25-22+252−25-2221+521−521+52−1−52−1−521−52−1+52−1+520000000000000000000000000088-8−2−25−2+25−2−25−2+25-22+252−25-2221+521−521+52−1−52−1−521−52−1+52−1+5200000000000000000000000000
χ448-80−2+25−2−252−252+25-200225−251−521+52−1+525−52−5+52−1−52−5−525+52000000000000000000000000008-80−2+25−2−252−252+25-200225−251−521+52−1+525−52−5+52−1−52−5−525+5200000000000000000000000000
χ458-80−2+25−2−252−252+25-2002−25251−521+52−1+52−5+525−52−1−525+52−5−52000000000000000000000000008-80−2+25−2−252−252+25-2002−25251−521+52−1+52−5+525−52−1−525+52−5−5200000000000000000000000000
χ468-80−2−25−2+252+252−25-200225−251+521−52−1−52−5−525+52−1+525−52−5+52000000000000000000000000008-80−2−25−2+252+252−25-200225−251+521−52−1−52−5−525+52−1+525−52−5+5200000000000000000000000000
χ478-80−2−25−2+252+252−25-2002−25251+521−52−1−525+52−5−52−1+52−5+525−52000000000000000000000000008-80−2−25−2+252+252−25-2002−25251+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
χ50111111111111111111111111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111-1-1
χ52111111111111111111111-1-1-1-1-1-11i−i1111-1-1iiii−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−ii-1-1-1-111−i−i−i−iiiii1−ii
χ53111111111111111111111-1-1-1-1-1-11−ii1111-1-1−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−i-1-1-1-111iiii−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+52−1−52−1−520220000−1+52−1−52−1+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+520-2-200001−521+521−521−521+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+52−1−52−1−520-2-20000−1+52−1−521−521−521+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+5202200001−521+52−1+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−2i00001−521+52−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+52−1−52−1−520−2i2i0000−1+52−1−52ζ11+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+520−2i2i00001−521+52ζ11+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−2i0000−1+52−1−52−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+520220000−1−52−1+52−1−52−1−52−1+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+521−521−520-2-200001+521−521+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+520-2-20000−1−52−1+521+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+521−521−5202200001+521−52−1−52−1−52−1+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−2i00001+521−52−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+520−2i2i0000−1−52−1+52ζ3+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+521−521−520−2i2i00001+521−52ζ3+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−2i0000−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000
χ6422-222222-2-22-2-2222-2-22-2-22-222220000000-2-200000000000-2-22-2-2-2-2-222-222-2-2-222-222-22-2-2-2-200000002200000000000
χ6522-222222-2-22-2-2222-2-22-2-2-22-2-2-2-200000002200000000000-2-22-2-2-2-2-222-222-2-2-222-2222-222220000000-2-200000000000
χ6622-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000-2-221−521+521−521+52-2−1+52−1−52-2221−521+521−52−1+52−1+521+52−1−52−1−52-221−521−521+521+520000000−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ6722-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+522-2−1+52−1+52−1−52−1−5200000001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000-2-221−521+521−521+52-2−1+52−1−52-2221−521+521−52−1+52−1+521+52−1−52−1−52-221−521−521+521+520000000−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ6822-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000-2-221−521+521−521+52-2−1+52−1−52-2221−521+521−52−1+52−1+521+52−1−52−1−522-2−1+52−1+52−1−52−1−5200000001−521+52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000
χ6922-2−1+52−1−52−1+52−1−5221−521+522-2-2−1+52−1−52−1+521−521−52−1−521+521+52-221−521−521+521+520000000−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7000-2-221−521+521−521+52-2−1+52−1−52-2221−521+521−52−1+52−1+521+52−1−52−1−522-2−1+52−1+52−1−52−1−5200000001−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000
χ7022-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000-2-221+521−521+521−52-2−1−52−1+52-2221+521−521+52−1−52−1−521−52−1+52−1+52-221+521+521−521−520000000−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ7122-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−522-2−1−52−1−52−1+52−1+5200000001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000-2-221+521−521+521−52-2−1−52−1+52-2221+521−521+52−1−52−1−521−52−1+52−1+52-221+521+521−521−520000000−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ7222-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000-2-221+521−521+521−52-2−1−52−1+52-2221+521−521+52−1−52−1−521−52−1+52−1+522-2−1−52−1−52−1+52−1+5200000001+521−52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000
χ7322-2−1−52−1+52−1−52−1+5221+521−522-2-2−1−52−1+52−1−521+521+52−1+521−521−52-221+521+521−521−520000000−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19000-2-221+521−521+521−52-2−1−52−1+52-2221+521−521+52−1−52−1−521−52−1+52−1+522-2−1−52−1−52−1+52−1+5200000001+521−52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19000
χ744444444-144-1-1-1-1-1-1-1-1-1-1-1000000400-1-1-1-10000000000000-4-4-4-4-4-4-41-4-411111111111000000-40011110000000000000
χ754444444-144-1-1-1-1-1-1-1-1-1-1-1000000-40011110000000000000-4-4-4-4-4-4-41-4-411111111111000000400-1-1-1-10000000000000
χ7644-44444-1-4-4-111-1-1-111-11100000000055−5−50000000000000-4-44-4-4-4-41441-1-1111-1-11-1-1000000000−5−5550000000000000
χ7744-44444-1-4-4-111-1-1-111-111000000000−5−5550000000000000-4-44-4-4-4-41441-1-1111-1-11-1-100000000055−5−50000000000000
χ784-4044-4-4400-40044-400-40000000000000000000000000000-440-4-444-400400-4-440040000000000000000000000000000
χ794-4044-4-4-10015−5-1-115−515−5000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000-440-4-444100-1−5511-1−55-1−55000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000
χ804-4044-4-4-10015−5-1-115−515−5000000000ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000-440-4-444100-1−5511-1−55-1−55000000000−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000
χ814-4044-4-4-1001−55-1-11−551−55000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000-440-4-444100-15−511-15−5-15−5000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000
χ824-4044-4-4-1001−55-1-11−551−55000000000ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000-440-4-444100-15−511-15−5-15−5000000000−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000
χ834-40−1+5−1−51−51+5400-400−1+5−1−51−5001+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000-4401−51+5−1+5−1−5-4004001−51+5−1+500−1−500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000
χ844-40−1+5−1−51−51+5400-400−1+5−1−51−5001+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000-4401−51+5−1+5−1−5-4004001−51+5−1+500−1−50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000
χ854-40−1−5−1+51+51−5400-400−1−5−1+51+5001−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000-4401+51−5−1−5−1+5-4004001+51−5−1−500−1+50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000
χ864-40−1−5−1+51+51−5400-400−1−5−1+51+5001−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000-4401+51−5−1−5−1+5-4004001+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+25-2221−521+521−52−1+52−1+521+52−1−52−1−5200000000000000000000000000-8-882−252+252−252+252−2+25−2−252-2-2−1+52−1−52−1+521−521−52−1−521+521+5200000000000000000000000000
χ9088-8−2−25−2+25−2−25−2+25-22+252−25-2221+521−521+52−1−52−1−521−52−1+52−1+5200000000000000000000000000-8-882+252−252+252−252−2−25−2+252-2-2−1−52−1+52−1−521+521+52−1+521−521−5200000000000000000000000000
χ918-80−2+25−2−252−252+25-200225−251−521+52−1+525−52−5+52−1−52−5−525+5200000000000000000000000000-8802−252+25−2+25−2−25200-2−2525−1+52−1−521−52−5+525−521+525+52−5−5200000000000000000000000000
χ928-80−2+25−2−252−252+25-2002−25251−521+52−1+52−5+525−52−1−525+52−5−5200000000000000000000000000-8802−252+25−2+25−2−25200-225−25−1+52−1−521−525−52−5+521+52−5−525+5200000000000000000000000000
χ938-80−2−25−2+252+252−25-200225−251+521−52−1−52−5−525+52−1+525−52−5+5200000000000000000000000000-8802+252−25−2−25−2+25200-2−2525−1−52−1+521+525+52−5−521−52−5+525−5200000000000000000000000000
χ948-80−2−25−2+252+252−25-2002−25251+521−52−1−525+52−5−52−1+52−5+525−5200000000000000000000000000-8802+252−25−2−25−2+25200-225−25−1−52−1+521+52−5−525+521−525−52−5+5200000000000000000000000000

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