Finite Group Databasebeta

← Group #13107636

Character table — Group #13107636

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size112222222444444445588888881010101010101010101010101010101010101010101010101010101616161616162020202020202020202020202020202020202020404040505050505050505050505050
order12444551010510202020202020225510102020202224444444444441010101020202020202020202020202020202020202020202020202020202020202020202020101010222444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1111-111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11111111111-1-1-11i−iiii−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-111iiiiii−i−i−i−i−i−i111-1-1-1-1i−iiii−i−i−i
χ611111111111111111-1-11111111111-1-1-11−ii−i−i−iiii-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-111−i−i−i−i−i−iiiiiii111-1-1-1-1−ii−i−i−iiii
χ711111111111111111-1-11111111-1-1-1-1-1-1-1i−iiii−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-11111−ii−i−i−iiii
χ811111111111111111-1-11111111-1-1-1-1-1-1-1−ii−i−i−iiii-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-11111i−iiii−i−i−i
χ9111-1-111111111-1-1-1-11111111-1-111-11-1-1-1111-1-11-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-1-111-111-1
χ10111-1-111111111-1-1-1-11111111-1-111-11-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-111-1-111-1-11-1-11
χ11111-1-111111111-1-1-1-11111111-1-1-1-111-1-11111-1-11-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-11111-1-11-1-11
χ12111-1-111111111-1-1-1-11111111-1-1-1-111-1-11-1-1-111-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-11-1-111-1-111-111-1
χ13111-1-111111111-1-1-1-1-1-111111-1-111-1-111-1i−ii−i−i−iii-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-111−iiii−i−i−ii
χ14111-1-111111111-1-1-1-1-1-111111-1-111-1-111-1−ii−iiii−i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-111i−i−i−iiii−i
χ15111-1-111111111-1-1-1-1-1-111111-1-1-1-11-1111i−ii−i−i−iii-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiii-1-1111-1-1i−i−i−iiii−i
χ16111-1-111111111-1-1-1-1-1-111111-1-1-1-11-1111−ii−iiii−i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1111111−i−iiiiiii−i−i−i−i-1-1111-1-1−iiii−i−i−ii
χ1711-11-1111111-1-111-1-1111111-11-11-11-11-1-111-11-1-11-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-111-11-1-1-11-111-11
χ1811-11-1111111-1-111-1-1111111-11-11-11-11-1-1-1-11-111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1111-111-11-111-11-1-11-1
χ1911-11-1111111-1-111-1-1111111-11-1-11-1-11-1111-11-1-11-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-1-11-1111-11-1-11-1
χ2011-11-1111111-1-111-1-1111111-11-1-11-1-11-11-1-11-111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-11-1-11-11-1-11-111-11
χ2111-11-1111111-1-111-1-1-1-11111-11-11-111-11-1i−i−ii−ii−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii1-11-11-11−iii−ii−ii−i
χ2211-11-1111111-1-111-1-1-1-11111-11-11-111-11-1−iii−ii−ii−i-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i1-11-11-11i−i−ii−ii−ii
χ2311-11-1111111-1-111-1-1-1-11111-11-1-11-11-111i−i−ii−ii−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-11111−i−iii−i−iii−i−iii-11-11-11-1i−i−ii−ii−ii
χ2411-11-1111111-1-111-1-1-1-11111-11-1-11-11-111−iii−ii−ii−i-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-11111ii−i−iii−i−iii−i−i-11-11-11-1−iii−ii−ii−i
χ2511-1-11111111-1-1-1-111111111-1-111-1-1-1-11111-1-11-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-11-1-1
χ2611-1-11111111-1-1-1-111111111-1-111-1-1-1-111-1-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-11-1-11-1-11-1-1-111-111
χ2711-1-11111111-1-1-1-111111111-1-11-111-1-11-111-1-11-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-111-111-1-1-1-111-111
χ2811-1-11111111-1-1-1-111111111-1-11-111-1-11-1-1-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-111-111-1111-1-11-1-1
χ2911-1-11111111-1-1-1-111-1-11111-1-111-1-111-11i−i−i−iiii−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-111−i−i−i−iiiiiii−i−i1-1-1-111-1i−ii−i−i−iii
χ3011-1-11111111-1-1-1-111-1-11111-1-111-1-111-11−iiii−i−i−ii-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-111iiii−i−i−i−i−i−iii1-1-1-111-1−ii−iiii−i−i
χ3111-1-11111111-1-1-1-111-1-11111-1-11-11111-1-1i−i−i−iiii−i-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiii−i−i-1111-1-11−ii−iiii−i−i
χ3211-1-11111111-1-1-1-111-1-11111-1-11-11111-1-1−iiii−i−i−ii-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−iii-1111-1-11i−ii−i−i−iii
χ3322222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52222000222022222222−1+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+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000
χ3422222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522220002220-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000
χ3522222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52222000-2-2-202i−2i2i2i2i−2i−2i−2i1−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+5200−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7000000000000000
χ3622222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52222000-2-2-20−2i2i−2i−2i−2i2i2i2i1−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+5200ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7000000000000000
χ3722222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52222000222022222222−1−52−1+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+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ3822222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522220002220-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000
χ3922222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52222000-2-2-202i−2i2i2i2i−2i−2i−2i1+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−5200−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19000000000000000
χ4022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52222000-2-2-20−2i2i−2i−2i−2i2i2i2i1+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−5200ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19000000000000000
χ41222-2-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+521−521+5222−1+52−1−52−1+52−1−522-2-20002-2-20222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000
χ42222-2-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+521−521+5222−1+52−1−52−1+52−1−522-2-20002-2-20-2-2-222-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000
χ43222-2-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+521−521+52-2-2−1+52−1−52−1+52−1−522-2-2000-22202i−2i2i−2i−2i−2i2i2i1−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7000000000000000
χ44222-2-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+521−521+52-2-2−1+52−1−52−1+52−1−522-2-2000-2220−2i2i−2i2i2i2i−2i−2i1−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7000000000000000
χ45222-2-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−521+521−5222−1−52−1+52−1−52−1+522-2-20002-2-20222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−5200−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000
χ46222-2-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−521+521−5222−1−52−1+52−1−52−1+522-2-20002-2-20-2-2-222-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000
χ47222-2-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−521+521−52-2-2−1−52−1+52−1−52−1+522-2-2000-22202i−2i2i−2i−2i−2i2i2i1+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19000000000000000
χ48222-2-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−521+521−52-2-2−1−52−1+52−1−52−1+522-2-2000-2220−2i2i−2i2i2i2i−2i−2i1+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19000000000000000
χ4922-22-2−1+52−1−52−1+52−1−52221−521+52−1+52−1−521−521+5222−1+52−1−52−1+52−1−52-22-2000-22-2022-22-2-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52001−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000
χ5022-22-2−1+52−1−52−1+52−1−52221−521+52−1+52−1−521−521+5222−1+52−1−52−1+52−1−52-22-2000-22-20-2-22-222-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+5200−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000
χ5122-22-2−1+52−1−52−1+52−1−52221−521+52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−52-22-20002-2202i−2i−2i2i−2i2i−2i2i1−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ71−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−5200ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000
χ5222-22-2−1+52−1−52−1+52−1−52221−521+52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−52-22-20002-220−2i2i2i−2i2i−2i2i−2i1−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ71−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−5200−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000
χ5322-22-2−1−52−1+52−1−52−1+52221+521−52−1−52−1+521+521−5222−1−52−1+52−1−52−1+52-22-2000-22-2022-22-2-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52001+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000
χ5422-22-2−1−52−1+52−1−52−1+52221+521−52−1−52−1+521+521−5222−1−52−1+52−1−52−1+52-22-2000-22-20-2-22-222-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−5200−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000
χ5522-22-2−1−52−1+52−1−52−1+52221+521−52−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+52-22-20002-2202i−2i−2i2i−2i2i−2i2i1+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ191+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000
χ5622-22-2−1−52−1+52−1−52−1+52221+521−52−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+52-22-20002-220−2i2i2i−2i2i−2i2i−2i1+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ191+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000
χ5722-2-22−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−5222−1+52−1−52−1+52−1−52-2-22000-2-22022-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52001−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000
χ5822-2-22−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−5222−1+52−1−52−1+52−1−52-2-22000-2-220-2-222-222-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−5200−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000
χ5922-2-22−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-2-2200022-202i−2i−2i−2i2i2i2i−2i1−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ71−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+5200ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7000000000000000
χ6022-2-22−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-2-2200022-20−2i2i2i2i−2i−2i−2i2i1−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ71−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+5200−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7000000000000000
χ6122-2-22−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+5222−1−52−1+52−1−52−1+52-2-22000-2-22022-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52001+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000
χ6222-2-22−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+5222−1−52−1+52−1−52−1+52-2-22000-2-220-2-222-222-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+5200−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000
χ6322-2-22−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-2-2200022-202i−2i−2i−2i2i2i2i−2i1+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ191+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−5200ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19000000000000000
χ6422-2-22−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-2-2200022-20−2i2i2i2i−2i−2i−2i2i1+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ191+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−5200−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19000000000000000
χ65444444444-1-144444400-1-1-1-1-1-1-1444000400000000000000000000-1-1-1-1-1-1000000-1-1000000000000-1-1-1000000000000
χ66444444444-1-144444400-1-1-1-1-1-1-1-4-4-4000-400000000000000000000-1-1-1-1-1-100000011000000000000111000000000000
χ67444-4-44444-1-144-4-4-4-400-1-1-1-1-11144-4000-400000000000000000000-1-1111100000011000000000000-1-11000000000000
χ68444-4-44444-1-144-4-4-4-400-1-1-1-1-111-4-44000400000000000000000000-1-11111000000-1-100000000000011-1000000000000
χ6944-44-44444-1-1-4-444-4-400-1-1-1-11-114-44000-40000000000000000000011-1-11100000011000000000000-11-1000000000000
χ7044-44-44444-1-1-4-444-4-400-1-1-1-11-11-44-400040000000000000000000011-1-111000000-1-10000000000001-11000000000000
χ7144-4-444444-1-1-4-4-4-44400-1-1-1-111-14-4-40004000000000000000000001111-1-1000000-1-1000000000000-111000000000000
χ7244-4-444444-1-1-4-4-4-44400-1-1-1-111-1-444000-4000000000000000000001111-1-1000000110000000000001-1-1000000000000
χ734-400044-4-44-40000004-444-4-400000000000000000044-4-40000000000000000000000000000000000000000000000000
χ744-400044-4-44-4000000-4444-4-4000000000000000000-4-4440000000000000000000000000000000000000000000000000
χ754-4000−1+5−1−51−51+54-40000004-4−1+5−1−51−51+5000000000000000000−1+5−1−51−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000000
χ764-4000−1+5−1−51−51+54-40000004-4−1+5−1−51−51+5000000000000000000−1+5−1−51−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000
χ774-4000−1+5−1−51−51+54-4000000-44−1+5−1−51−51+50000000000000000001−51+5−1+5−1−5−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000
χ784-4000−1+5−1−51−51+54-4000000-44−1+5−1−51−51+50000000000000000001−51+5−1+5−1−52ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000
χ794-4000−1−5−1+51+51−54-40000004-4−1−5−1+51+51−5000000000000000000−1−5−1+51+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000
χ804-4000−1−5−1+51+51−54-40000004-4−1−5−1+51+51−5000000000000000000−1−5−1+51+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000
χ814-4000−1−5−1+51+51−54-4000000-44−1−5−1+51+51−50000000000000000001+51−5−1−5−1+52ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000
χ824-4000−1−5−1+51+51−54-4000000-44−1−5−1+51+51−50000000000000000001+51−5−1−5−1+5−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000
χ8388888−2+25−2−25−2+25−2−25-2-2−2+25−2−25−2+25−2−25−2+25−2−25001−521+521−521+52-2-2-20000000000000000000000000001−521+521−521+521−521+5200000000000000000000000000000000000
χ8488888−2−25−2+25−2−25−2+25-2-2−2−25−2+25−2−25−2+25−2−25−2+25001+521−521+521−52-2-2-20000000000000000000000000001+521−521+521−521+521−5200000000000000000000000000000000000
χ85888-8-8−2+25−2−25−2+25−2−25-2-2−2+25−2−252−252+252−252+25001−521+521−521+52-2220000000000000000000000000001−521+52−1+52−1−52−1+52−1−5200000000000000000000000000000000000
χ86888-8-8−2−25−2+25−2−25−2+25-2-2−2−25−2+252+252−252+252−25001+521−521+521−52-2220000000000000000000000000001+521−52−1−52−1+52−1−52−1+5200000000000000000000000000000000000
χ8788-88-8−2+25−2−25−2+25−2−25-2-22−252+25−2+25−2−252−252+25001−521+521−521+522-22000000000000000000000000000−1+52−1−521−521+52−1+52−1−5200000000000000000000000000000000000
χ8888-88-8−2−25−2+25−2−25−2+25-2-22+252−25−2−25−2+252+252−25001+521−521+521−522-22000000000000000000000000000−1−52−1+521+521−52−1−52−1+5200000000000000000000000000000000000
χ8988-8-88−2+25−2−25−2+25−2−25-2-22−252+252−252+25−2+25−2−25001−521+521−521+5222-2000000000000000000000000000−1+52−1−52−1+52−1−521−521+5200000000000000000000000000000000000
χ9088-8-88−2−25−2+25−2−25−2+25-2-22+252−252+252−25−2−25−2+25001+521−521+521−5222-2000000000000000000000000000−1−52−1+52−1−52−1+521+521−5200000000000000000000000000000000000
χ918-800088-8-8-2200000000-2-2220000000000000000000000000000000000000000002i5−2i5000000000000000000000000000
χ928-800088-8-8-2200000000-2-222000000000000000000000000000000000000000000−2i52i5000000000000000000000000000
χ9316-16000−4+45−4−454−454+45-44000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000
χ9416-16000−4−45−4+454+454−45-44000000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000

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