Finite Group Databasebeta

← Group #11993710

Character table — Group #11993710

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222444444444444444444444488888888888888888888888888888888888888888888888816161616161616164040404040404040404040408080
order1222444455101010101010202020202020202024444420202020202020202020202020202020444488888888101020204040404040404040404040404040404040404040404040404040404040404040202020202020202044448888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−ii−ii−ii−ii−ii−i
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−ii−ii−ii−ii−ii
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−ii−ii−ii−iii−i
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiii−ii−ii−ii−i−ii
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−ii−i−iii−i−ii−ii
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−iii−i−iii−ii−i
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−iii−i−iii−i−ii
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiii−i−iii−i−iii−i
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-22-20000000022220000000000000000000000000000000022-2-222-2-200000000000000
χ1822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2200000000222200000000000000000000000000000000-2-222-2-22200000000000000
χ19222222222222222222222222-2-22-22-22222-2-2-2-22222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000000000000000002200-2-200
χ20222222222222222222222222-2-22-22-22222-2-2-2-22222-2-2-2-2000000000000-2-2-2-20000000000000000000000000000000000000000000000-2-2002200
χ21222222222222222222222222-2-2-22-22-2-2-2-22222-2-2-2-22222000000000000-2-2-2-2000000000000000000000000000000000000000000002200-2-20000
χ22222222222222222222222222-2-2-22-22-2-2-2-22222-2-2-2-22222000000000000-2-2-2-200000000000000000000000000000000000000000000-2-200220000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52222222222222−1+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+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+52−1−5200000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ2522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52-2-2-2-22222-2-2-2-2−1+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+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521+521−521+521−521+521−521+5200000000000000
χ2622222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−521−521+521−521+521−521+521−521+5200000000000000
χ2722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522-22-200000000−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−1+52−1−521−521+52−1+52−1−521−521+5200000000000000
χ2822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522-22-200000000−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−1+52−1−521−521+52−1+52−1−521−521+5200000000000000
χ2922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-22-2200000000−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ71−521+52−1+52−1−521−521+52−1+52−1−5200000000000000
χ3022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-22-2200000000−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ71−521+52−1+52−1−521−521+52−1+52−1−5200000000000000
χ3122222222−1−52−1+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+52222222−1−52−1−52−1+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+52222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+5200000000000000
χ3222222222−1−52−1+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+52222222−1−52−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ3322222222−1−52−1+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+52222222−1−52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521−521+521−521+521−521+521−5200000000000000
χ3422222222−1−52−1+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+52222222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−521+521−521+521−5200000000000000
χ3522222222−1−52−1+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+5222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522-22-200000000−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−1−52−1+521+521−52−1−52−1+521+521−5200000000000000
χ3622222222−1−52−1+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+5222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522-22-200000000−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−1−52−1+521+521−52−1−52−1+521+521−5200000000000000
χ3722222222−1−52−1+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+5222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-22-2200000000−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ191+521−52−1−52−1+521+521−52−1−52−1+5200000000000000
χ3822222222−1−52−1+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+5222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-22-2200000000−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ191+521−52−1−52−1+521+521−52−1−52−1+5200000000000000
χ392222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-2-222222-2-2-2-2-2-2-2-2222200000000000022-2-2000000000000000000000000000000000000000000002i−2i00−2i2i0000
χ402222-2-2-2-222222222-2-2-2-2-2-2-2-22-22-2-222222-2-2-2-2-2-2-2-2222200000000000022-2-200000000000000000000000000000000000000000000−2i2i002i−2i0000
χ412222-2-2-2-222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-222222222-2-2-2-200000000000022-2-200000000000000000000000000000000000000000000002i−2i00−2i2i00
χ422222-2-2-2-222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-222222222-2-2-2-200000000000022-2-20000000000000000000000000000000000000000000000−2i2i002i−2i00
χ432222-2-2-2-222222222-2-2-2-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-22-2-2200000000-2-2220000000000000000000000000000000022-2-2-2-22200000000000000
χ442222-2-2-2-222222222-2-2-2-2-2-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-2-222-200000000-2-22200000000000000000000000000000000-2-22222-2-200000000000000
χ452222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2-22000000001−521+52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−1+52−1−521−521+521−521+52−1+52−1−5200000000000000
χ462222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2-22000000001−521+52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−1+52−1−521−521+521−521+52−1+52−1−5200000000000000
χ472222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-222-2000000001−521+52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ71−521+52−1+52−1−52−1+52−1−521−521+5200000000000000
χ482222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-222-2000000001−521+52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ71−521+52−1+52−1−52−1+52−1−521−521+5200000000000000
χ492222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-222-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ502222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+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+52−1−521−521+521−521+5200000000000000
χ512222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222-2-21−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ532222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2-22000000001+521−52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−1−52−1+521+521−521+521−52−1−52−1+5200000000000000
χ542222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2-22000000001+521−52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−1−52−1+521+521−521+521−52−1−52−1+5200000000000000
χ552222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-222-2000000001+521−52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ191+521−52−1−52−1+52−1−52−1+521+521−5200000000000000
χ562222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-222-2000000001+521−52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ191+521−52−1−52−1+52−1−52−1+521+521−5200000000000000
χ572222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-222-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ582222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2221+521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521+521−521+521−5200000000000000
χ592222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2221+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
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χ1054-4-44−4i4i4i−4i−1+5−1−51−51+51−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ700000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700002i−2i-2200000000−ζ6−ζ11+ζ14−ζ19ζ6+ζ11−ζ14+ζ19ζ6−ζ11−ζ14−ζ19−ζ6+ζ11+ζ14+ζ19−ζ2−ζ3−ζ7+ζ18ζ2+ζ3+ζ7−ζ18ζ2−ζ3−ζ7−ζ18−ζ2+ζ3+ζ7+ζ18ζ6−ζ11+ζ14+ζ19−ζ6+ζ11−ζ14−ζ19ζ6+ζ11+ζ14−ζ19−ζ6−ζ11−ζ14+ζ19ζ2+ζ3−ζ7+ζ18−ζ2−ζ3+ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ2+ζ3−ζ7−ζ1800000000000000000000000000000000000000
χ1064-4-44−4i4i4i−4i−1+5−1−51−51+51−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ700000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000−2i2i2-200000000ζ6+ζ11−ζ14+ζ19−ζ6−ζ11+ζ14−ζ19−ζ6+ζ11+ζ14+ζ19ζ6−ζ11−ζ14−ζ19ζ2+ζ3+ζ7−ζ18−ζ2−ζ3−ζ7+ζ18−ζ2+ζ3+ζ7+ζ18ζ2−ζ3−ζ7−ζ18−ζ6+ζ11−ζ14−ζ19ζ6−ζ11+ζ14+ζ19−ζ6−ζ11−ζ14+ζ19ζ6+ζ11+ζ14−ζ19−ζ2−ζ3+ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ2−ζ3+ζ7+ζ1800000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i−1+5−1−51−51+51−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700002i−2i-2200000000ζ6−ζ11−ζ14−ζ19−ζ6+ζ11+ζ14+ζ19−ζ6−ζ11+ζ14−ζ19ζ6+ζ11−ζ14+ζ19ζ2−ζ3−ζ7−ζ18−ζ2+ζ3+ζ7+ζ18−ζ2−ζ3−ζ7+ζ18ζ2+ζ3+ζ7−ζ18ζ6+ζ11+ζ14−ζ19−ζ6−ζ11−ζ14+ζ19ζ6−ζ11+ζ14+ζ19−ζ6+ζ11−ζ14−ζ19ζ2−ζ3+ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ2−ζ3+ζ7−ζ1800000000000000000000000000000000000000
χ1084-4-44−4i4i4i−4i−1+5−1−51−51+51−5−1+51+5−1−52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000−2i2i2-200000000−ζ6+ζ11+ζ14+ζ19ζ6−ζ11−ζ14−ζ19ζ6+ζ11−ζ14+ζ19−ζ6−ζ11+ζ14−ζ19−ζ2+ζ3+ζ7+ζ18ζ2−ζ3−ζ7−ζ18ζ2+ζ3+ζ7−ζ18−ζ2−ζ3−ζ7+ζ18−ζ6−ζ11−ζ14+ζ19ζ6+ζ11+ζ14−ζ19−ζ6+ζ11−ζ14−ζ19ζ6−ζ11+ζ14+ζ19−ζ2+ζ3−ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ2−ζ3+ζ7−ζ18ζ2+ζ3−ζ7+ζ1800000000000000000000000000000000000000
χ1094-4-44−4i4i4i−4i−1−5−1+51+51−51+5−1−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900002i−2i-2200000000ζ2−ζ3−ζ7−ζ18−ζ2+ζ3+ζ7+ζ18−ζ2−ζ3−ζ7+ζ18ζ2+ζ3+ζ7−ζ18−ζ6−ζ11+ζ14−ζ19ζ6+ζ11−ζ14+ζ19ζ6−ζ11−ζ14−ζ19−ζ6+ζ11+ζ14+ζ19ζ2−ζ3+ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ2−ζ3+ζ7−ζ18ζ6−ζ11+ζ14+ζ19−ζ6+ζ11−ζ14−ζ19ζ6+ζ11+ζ14−ζ19−ζ6−ζ11−ζ14+ζ1900000000000000000000000000000000000000
χ1104-4-44−4i4i4i−4i−1−5−1+51+51−51+5−1−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000−2i2i2-200000000−ζ2+ζ3+ζ7+ζ18ζ2−ζ3−ζ7−ζ18ζ2+ζ3+ζ7−ζ18−ζ2−ζ3−ζ7+ζ18ζ6+ζ11−ζ14+ζ19−ζ6−ζ11+ζ14−ζ19−ζ6+ζ11+ζ14+ζ19ζ6−ζ11−ζ14−ζ19−ζ2+ζ3−ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ2−ζ3+ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ6+ζ11−ζ14−ζ19ζ6−ζ11+ζ14+ζ19−ζ6−ζ11−ζ14+ζ19ζ6+ζ11+ζ14−ζ1900000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i−1−5−1+51+51−51+5−1−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900002i−2i-2200000000−ζ2−ζ3−ζ7+ζ18ζ2+ζ3+ζ7−ζ18ζ2−ζ3−ζ7−ζ18−ζ2+ζ3+ζ7+ζ18ζ6−ζ11−ζ14−ζ19−ζ6+ζ11+ζ14+ζ19−ζ6−ζ11+ζ14−ζ19ζ6+ζ11−ζ14+ζ19ζ2+ζ3−ζ7+ζ18−ζ2−ζ3+ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ6+ζ11+ζ14−ζ19−ζ6−ζ11−ζ14+ζ19ζ6−ζ11+ζ14+ζ19−ζ6+ζ11−ζ14−ζ1900000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i−1−5−1+51+51−51+5−1−51−5−1+52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000−2i2i2-200000000ζ2+ζ3+ζ7−ζ18−ζ2−ζ3−ζ7+ζ18−ζ2+ζ3+ζ7+ζ18ζ2−ζ3−ζ7−ζ18−ζ6+ζ11+ζ14+ζ19ζ6−ζ11−ζ14−ζ19ζ6+ζ11−ζ14+ζ19−ζ6−ζ11+ζ14−ζ19−ζ2−ζ3+ζ7−ζ18ζ2+ζ3−ζ7+ζ18−ζ2+ζ3−ζ7−ζ18ζ2−ζ3+ζ7+ζ18−ζ6−ζ11−ζ14+ζ19ζ6+ζ11+ζ14−ζ19−ζ6+ζ11−ζ14−ζ19ζ6−ζ11+ζ14+ζ1900000000000000000000000000000000000000
χ11388-8-888-8-8−2+25−2−25−2+25−2−252−252−252+252+25−2+25−2+252−252−25−2−25−2−252+252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-888-8-8−2−25−2+25−2−25−2+252+252+252−252−25−2−25−2−252+252+25−2+25−2+252−252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-8-888−2+25−2−25−2+25−2−252−252−252+252+252−252−25−2+25−2+252+252+25−2−25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-8-888−2−25−2+25−2−25−2+252+252+252−252−252+252+25−2−25−2−252−252−25−2+25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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