Finite Group Databasebeta

← Group #11716923

Character table — Group #11716923

Order 800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222222224444444444444444444444444444444444444444101010101010101020202020202020202020202020202020252525255050
order124455558810101010202020202020202055551010101020202020202020204040404040404040404040404040404040404040404040402244888810101010202020204040404040404040888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1
χ711111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ811111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ911-1-11111i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1i−ii−i1111-1-1-1-1ii−i−iii−i−iii−i−i-11
χ1011-1-11111i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii−i−iii1-1
χ1111-1-11111i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i−i−iii1-1
χ1211-1-11111i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−ii−ii-1-1-1-11111−i−iii−i−iiiii−i−i-11
χ1311-1-11111−ii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii−ii1111-1-1-1-1−i−iii−i−iii−i−iii-11
χ1411-1-11111−ii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i1-1
χ1511-1-11111−ii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i1-1
χ1611-1-11111−ii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111i−ii−i-1-1-1-11111ii−i−iii−i−i−i−iii-11
χ17222222−1+52−1−522222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−520202002200−1+52−1−5200−1+52−1−520000−1+52−1−52−1+52−1−52000000
χ18222222−1+52−1−522222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−520-20-200-2-2001−521+52001−521+5200001−521+521−521+52000000
χ19222222−1+52−1−52-2-222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+52-2-21−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52020200-2-200−1+52−1−5200−1+52−1−5200001−521+521−521+52000000
χ20222222−1+52−1−52-2-222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+52-2-21−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520-20-20022001−521+52001−521+520000−1+52−1−52−1+52−1−52000000
χ21222222−1−52−1+522222−1−52−1+522222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+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+520202002200−1−52−1+5200−1−52−1+520000−1−52−1+52−1−52−1+52000000
χ22222222−1−52−1+522222−1−52−1+522222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+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+520-20-200-2-2001+521−52001+521−5200001+521−521+521−52000000
χ23222222−1−52−1+52-2-222−1−52−1+522222−1−52−1−52−1+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+52-2-21+521−52-2-21+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52020200-2-200−1−52−1+5200−1−52−1+5200001+521−521+521−52000000
χ24222222−1−52−1+52-2-222−1−52−1+522222−1−52−1−52−1+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+52-2-21+521−52-2-21+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520-20-20022001+521−52001+521−520000−1−52−1+52−1−52−1+52000000
χ252222−1+52−1−522222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5220202200−1+52−1−5200−1+52−1−5200−1+52−1−52−1+52−1−520000000000
χ262222−1+52−1−522222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52-20-20-2-2001−521+52001−521+52001−521+521−521+520000000000
χ272222−1+52−1−5222-2-2−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−521−521+52-2-21−521+52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522020-2-200−1+52−1−5200−1+52−1−52001−521+521−521+520000000000
χ282222−1+52−1−5222-2-2−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−521−521+52-2-21−521+52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-20-2022001−521+52001−521+5200−1+52−1−52−1+52−1−520000000000
χ292222−1−52−1+522222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1−52−1+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+5220202200−1−52−1+5200−1−52−1+5200−1−52−1+52−1−52−1+520000000000
χ302222−1−52−1+522222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1−52−1+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+52-20-20-2-2001+521−52001+521−52001+521−521+521−520000000000
χ312222−1−52−1+5222-2-2−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+521+521−52-2-21+521−52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522020-2-200−1−52−1+5200−1−52−1+52001+521−521+521−520000000000
χ322222−1−52−1+5222-2-2−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+521+521−52-2-21+521−52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-20-2022001+521−52001+521−5200−1−52−1+52−1−52−1+520000000000
χ3322-2-222−1+52−1−522i−2i22−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522i2i−ζ22−ζ38−ζ6−ζ14−2i−2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14020-2002i−2i00−1+52−1−52001−521+520000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000
χ3422-2-222−1+52−1−522i−2i22−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522i2i−ζ22−ζ38−ζ6−ζ14−2i−2iζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ140-20200−2i2i001−521+5200−1+52−1−520000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000
χ3522-2-222−1+52−1−52−2i2i22−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−2i−2iζ22+ζ38ζ6+ζ142i2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14020-200−2i2i00−1+52−1−52001−521+520000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000
χ3622-2-222−1+52−1−52−2i2i22−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−2i−2iζ22+ζ38ζ6+ζ142i2i−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ140-202002i−2i001−521+5200−1+52−1−520000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000
χ3722-2-222−1−52−1+522i−2i22−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522i2i−ζ6−ζ14−ζ22−ζ38−2i−2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38020-2002i−2i00−1−52−1+52001+521−520000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000
χ3822-2-222−1−52−1+522i−2i22−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522i2i−ζ6−ζ14−ζ22−ζ38−2i−2iζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ380-20200−2i2i001+521−5200−1−52−1+520000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000
χ3922-2-222−1−52−1+52−2i2i22−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−2i−2iζ6+ζ14ζ22+ζ382i2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38020-200−2i2i00−1−52−1+52001+521−520000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38000000
χ4022-2-222−1−52−1+52−2i2i22−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−2i−2iζ6+ζ14ζ22+ζ382i2i−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ380-202002i−2i001+521−5200−1−52−1+520000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38000000
χ4122-2-2−1+52−1−52222i−2i−1+52−1−52221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−ζ22−ζ38−ζ6−ζ142i2iζ22+ζ38ζ6+ζ14−2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1420-202i−2i00−1+52−1−52001−521+5200−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ4222-2-2−1+52−1−52222i−2i−1+52−1−52221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−ζ22−ζ38−ζ6−ζ142i2iζ22+ζ38ζ6+ζ14−2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14-2020−2i2i001−521+5200−1+52−1−5200ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ4322-2-2−1+52−1−5222−2i2i−1+52−1−52221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52ζ22+ζ38ζ6+ζ14−2i−2i−ζ22−ζ38−ζ6−ζ142i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1420-20−2i2i00−1+52−1−52001−521+5200ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ4422-2-2−1+52−1−5222−2i2i−1+52−1−52221−521−521+521+52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52ζ22+ζ38ζ6+ζ14−2i−2i−ζ22−ζ38−ζ6−ζ142i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14-20202i−2i001−521+5200−1+52−1−5200−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
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χ6144-4-4−1+5−1−5−1+5−1−54i−4i−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+53−52-1-13+523−52-1-13+52−3+52−3+521111−3−52−3−52−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−i−i−i−i2ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38iiii−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38000000000000000000000000000000
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χ764-44i−4i−1−5−1+544001+51−5-4-4−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ384i−4i4i−4i−1−5−1+5−1−5−1+51+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000
χ774-44i−4i−1−5−1+5−1+5−1−5001+51−51−51+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14-13−523+52-11−3+52−3−521−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii00000000ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ393ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39000000000000000000000000000000
χ784-44i−4i−1−5−1+5−1+5−1−5001+51−51−51+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14-13−523+52-11−3+52−3−521−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii00000000−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ373ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ39−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39000000000000000000000000000000
χ794-44i−4i−1−5−1+5−1−5−1+5001+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ383+52-1-13−52−3−5211−3+522ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38000000003ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ39000000000000000000000000000000
χ804-44i−4i−1−5−1+5−1−5−1+5001+51−51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ383+52-1-13−52−3−5211−3+522ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14−ζ22−ζ38−ii−iiζ6+ζ14+2ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ3800000000−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ373ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39000000000000000000000000000000
χ814-4−4i4i44−1+5−1−500-4-41−51+5−4i4i−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−1+5−1+5−1−5−1−51−51−51+51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000
χ824-4−4i4i44−1−5−1+500-4-41+51−5−4i4i−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−1−5−1−5−1+5−1+51+51+51−51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000
χ834-4−4i4i−1+5−1−544001−51+5-4-42ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−4i4i−4i4i−1+5−1−5−1+5−1−51−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000
χ844-4−4i4i−1+5−1−5−1+5−1−5001−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ143−52-1-13+52−3+5211−3−52−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−ii−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38000000002ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ39−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ373ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37000000000000000000000000000000
χ854-4−4i4i−1+5−1−5−1+5−1−5001−51+51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ143−52-1-13+52−3+5211−3−52−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−ii−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ3800000000−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ393ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ392ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37000000000000000000000000000000
χ864-4−4i4i−1+5−1−5−1−5−1+5001−51+51+51−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-13+523−52-11−3−52−3+521i−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−i00000000−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ393ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000000000000000000000
χ874-4−4i4i−1+5−1−5−1−5−1+5001−51+51+51−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-13+523−52-11−3−52−3+521i−i−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38i−i00000000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ373ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000000000000000000000
χ884-4−4i4i−1−5−1+544001+51−5-4-42ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−4i4i−4i4i−1−5−1+5−1−5−1+51+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000
χ894-4−4i4i−1−5−1+5−1+5−1−5001+51−51−51+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-13−523+52-11−3+52−3−521i−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−i00000000−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ393ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000000000000000000000
χ904-4−4i4i−1−5−1+5−1+5−1−5001+51−51−51+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-13−523+52-11−3+52−3−521i−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−i00000000ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ39−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ373ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000000000000000000000
χ914-4−4i4i−1−5−1+5−1−5−1+5001+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ383+52-1-13−52−3−5211−3+52−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−ii−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ3800000000−3ζ7−3ζ23−2ζ31−2ζ393ζ7+3ζ23+2ζ31+2ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ392ζ7+2ζ23+3ζ31+3ζ39−2ζ7−2ζ23−3ζ31−3ζ393ζ13+2ζ21+2ζ29+3ζ37−3ζ13−2ζ21−2ζ29−3ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−2ζ13−3ζ21−3ζ29−2ζ372ζ13+3ζ21+3ζ29+2ζ37000000000000000000000000000000
χ924-4−4i4i−1−5−1+5−1−5−1+5001+51−51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ383+52-1-13−52−3−5211−3+52−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14+ζ22+ζ38i−ii−i−ζ6−ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ38000000003ζ7+3ζ23+2ζ31+2ζ39−3ζ7−3ζ23−2ζ31−2ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−2ζ7−2ζ23−3ζ31−3ζ392ζ7+2ζ23+3ζ31+3ζ39−3ζ13−2ζ21−2ζ29−3ζ373ζ13+2ζ21+2ζ29+3ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ372ζ13+3ζ21+3ζ29+2ζ37−2ζ13−3ζ21−3ζ29−2ζ37000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.