Finite Group Databasebeta

← Group #12252023

Character table — Group #12252023

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11222444444888888888888224448888881616161616161616161616162244488888816161616161616161616161655101010202020202020404040404040404040404040
order1222222224424444444888851010101010101010202010202020202020204040404051010101010101010202010202020202020204040404022222222244244444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1
χ411111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-111-1-1ii−i−iii−i−i1111111-1-1-1-111-1-1ii−i−iii−i−i1111111-1-1-1-111-1-1ii−i−iii−i−i1111111-1-1-1-111-1-1ii−i−iii−i−i
χ61111111-1-1-1-111-1-1−i−iii−i−iii1111111-1-1-1-111-1-1−i−iii−i−iii1111111-1-1-1-111-1-1−i−iii−i−iii1111111-1-1-1-111-1-1−i−iii−i−iii
χ71111111-1-1-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-111ii−i−i−i−iii
χ81111111-1-1-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-111-11-11-11-11-1i−ii−ii−ii−i11-1-111-11-11-11-11-1i−ii−ii−ii−i11-1-111-11-11-11-11-1i−ii−ii−ii−i11-1-111-11-11-11-11-1i−ii−ii−ii−i
χ1011-1-111-11-11-11-11-1−ii−ii−ii−ii11-1-111-11-11-11-11-1−ii−ii−ii−ii11-1-111-11-11-11-11-1−ii−ii−ii−ii11-1-111-11-11-11-11-1−ii−ii−ii−ii
χ1111-1-111-11-11-1-11-11i−ii−i−ii−ii11-1-111-11-11-1-11-11i−ii−i−ii−ii11-1-111-11-11-1-11-11i−ii−i−ii−ii11-1-111-11-11-1-11-11i−ii−i−ii−ii
χ1211-1-111-11-11-1-11-11−ii−iii−ii−i11-1-111-11-11-1-11-11−ii−iii−ii−i11-1-111-11-11-1-11-11−ii−iii−ii−i11-1-111-11-11-1-11-11−ii−iii−ii−i
χ1311-1-111-1-11-111-1-111-1-111-1-1111-1-111-1-11-111-1-111-1-111-1-1111-1-111-1-11-111-1-111-1-111-1-1111-1-111-1-11-111-1-111-1-111-1-11
χ1411-1-111-1-11-111-1-11-111-1-111-111-1-111-1-11-111-1-11-111-1-111-111-1-111-1-11-111-1-11-111-1-111-111-1-111-1-11-111-1-11-111-1-111-1
χ1511-1-111-1-11-11-111-11-1-11-111-111-1-111-1-11-11-111-11-1-11-111-111-1-111-1-11-11-111-11-1-11-111-111-1-111-1-11-11-111-11-1-11-111-1
χ1611-1-111-1-11-11-111-1-111-11-1-1111-1-111-1-11-11-111-1-111-11-1-1111-1-111-1-11-11-111-1-111-11-1-1111-1-111-1-11-11-111-1-111-11-1-11
χ1722222-2-222-2-200000000000022222-2-222-2-200000000000022222-2-222-2-200000000000022222-2-222-2-2000000000000
χ1822222-2-2-2-22200000000000022222-2-2-2-22200000000000022222-2-2-2-22200000000000022222-2-2-2-222000000000000
χ1922-2-22-222-2-2200000000000022-2-22-222-2-2200000000000022-2-22-222-2-2200000000000022-2-22-222-2-22000000000000
χ2022-2-22-22-222-200000000000022-2-22-22-222-200000000000022-2-22-22-222-200000000000022-2-22-22-222-2000000000000
χ21444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ2244-44-400000000000000000044-44-400000000000000000044-44-400000000000000000044-44-4000000000000000000
χ238-80000000000000000000008-80000000000000000000008-80000000000000000000008-8000000000000000000000
χ24111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ25111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2611111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ2711111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ281111111-1-1-1-111-1-1ii−i−iii−i−i1111111-1-1-1-111-1-1ii−i−iii−i−i1111111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-11111-1-111−i−iii−i−iii
χ291111111-1-1-1-111-1-1−i−iii−i−iii1111111-1-1-1-111-1-1−i−iii−i−iii1111111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i
χ301111111-1-1-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i
χ311111111-1-1-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii
χ3211-1-111-11-11-11-11-1i−ii−ii−ii−i11-1-111-11-11-11-11-1i−ii−ii−ii−i11-1-111-11-11-11-11-1i−ii−ii−ii−i-1-111-1-11-11-11-11-11−ii−ii−ii−ii
χ3311-1-111-11-11-11-11-1−ii−ii−ii−ii11-1-111-11-11-11-11-1−ii−ii−ii−ii11-1-111-11-11-11-11-1−ii−ii−ii−ii-1-111-1-11-11-11-11-11i−ii−ii−ii−i
χ3411-1-111-11-11-1-11-11i−ii−i−ii−ii11-1-111-11-11-1-11-11i−ii−i−ii−ii11-1-111-11-11-1-11-11i−ii−i−ii−ii-1-111-1-11-11-111-11-1−ii−iii−ii−i
χ3511-1-111-11-11-1-11-11−ii−iii−ii−i11-1-111-11-11-1-11-11−ii−iii−ii−i11-1-111-11-11-1-11-11−ii−iii−ii−i-1-111-1-11-11-111-11-1i−ii−i−ii−ii
χ3611-1-111-1-11-111-1-111-1-111-1-1111-1-111-1-11-111-1-111-1-111-1-1111-1-111-1-11-111-1-111-1-111-1-11-1-111-1-111-11-1-111-1-111-1-111-1
χ3711-1-111-1-11-111-1-11-111-1-111-111-1-111-1-11-111-1-11-111-1-111-111-1-111-1-11-111-1-11-111-1-111-1-1-111-1-111-11-1-111-11-1-111-1-11
χ3811-1-111-1-11-11-111-11-1-11-111-111-1-111-1-11-11-111-11-1-11-111-111-1-111-1-11-11-111-11-1-11-111-1-1-111-1-111-11-11-1-11-111-11-1-11
χ3911-1-111-1-11-11-111-1-111-11-1-1111-1-111-1-11-11-111-1-111-11-1-1111-1-111-1-11-11-111-1-111-11-1-11-1-111-1-111-11-11-1-111-1-11-111-1
χ4022222-2-222-2-200000000000022222-2-222-2-200000000000022222-2-222-2-2000000000000-2-2-2-2-222-2-222000000000000
χ4122222-2-2-2-22200000000000022222-2-2-2-22200000000000022222-2-2-2-222000000000000-2-2-2-2-22222-2-2000000000000
χ4222-2-22-222-2-2200000000000022-2-22-222-2-2200000000000022-2-22-222-2-22000000000000-2-222-22-2-222-2000000000000
χ4322-2-22-22-222-200000000000022-2-22-22-222-200000000000022-2-22-22-222-2000000000000-2-222-22-22-2-22000000000000
χ44444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ4544-44-400000000000000000044-44-400000000000000000044-44-4000000000000000000-4-44-44000000000000000000
χ468-80000000000000000000008-80000000000000000000008-8000000000000000000000-88000000000000000000000
χ4722222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000
χ48222222222222222-2-2-2-2-2-2-2-2−1+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+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000
χ4922222222222-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000
χ5022222222222-2-2-2-2-2-2-2-22222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−5200000000000000000000000
χ512222222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000000000000000000
χ522222222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000000000000000000
χ532222222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000000000000000000
χ542222222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000000000000000000
χ5522-2-222-22-22-22-22-22i−2i2i−2i2i−2i2i−2i−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000000000000000000
χ5622-2-222-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000000000000000000
χ5722-2-222-22-22-2-22-222i−2i2i−2i−2i2i−2i2i−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−521−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+521+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000000000000000000
χ5822-2-222-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−521−52−1+521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+521+52−1−521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000000000000000000
χ5922-2-222-2-22-222-2-222-2-222-2-22−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−5200000000000000000000000
χ6022-2-222-2-22-222-2-22-222-2-222-2−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+5200000000000000000000000
χ6122-2-222-2-22-22-222-22-2-22-222-2−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1−521+5200000000000000000000000
χ6222-2-222-2-22-22-222-2-222-22-2-22−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+52−1−521+521+52−1−5200000000000000000000000
χ6344444-4-444-4-4000000000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−5000000000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+500000000000000000000000000000000000
χ6444444-4-4-4-444000000000000−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+5000000000000−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−500000000000000000000000000000000000
χ6544-4-44-444-4-44000000000000−1+5−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5000000000000−1−5−1−51+51+5−1−51+5−1−5−1−51+51+5−1−500000000000000000000000000000000000
χ6644-4-44-44-444-4000000000000−1+5−1+51−51−5−1+51−5−1+51−5−1+5−1+51−5000000000000−1−5−1−51+51+5−1−51+5−1−51+5−1−5−1−51+500000000000000000000000000000000000
χ67888-8-8000000000000000000−2+25−2+25−2+252−252−25000000000000000000−2−25−2−25−2−252+252+2500000000000000000000000000000000000000000
χ6888-88-8000000000000000000−2+25−2+252−25−2+252−25000000000000000000−2−25−2−252+25−2−252+2500000000000000000000000000000000000000000
χ6916-16000000000000000000000−4+454−45000000000000000000000−4−454+4500000000000000000000000000000000000000000000
χ7022222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000
χ71222222222222222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−521−521−521−521−521−5200000000000000000000000
χ7222222222222-2-2-2-22222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+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+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000000000000
χ7322222222222-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000
χ742222222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000
χ752222222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000
χ762222222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000
χ772222222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000
χ7822-2-222-22-22-22-22-22i−2i2i−2i2i−2i2i−2i−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000
χ7922-2-222-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000
χ8022-2-222-22-22-2-22-222i−2i2i−2i−2i2i−2i2i−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+521+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−521−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000
χ8122-2-222-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i−1−52−1−521+521+52−1−52−1−521+52−1−521+52−1−521+521+52−1−521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+521−521−52−1+52−1+521−52−1+521−52−1+521−521−52−1+521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000
χ8222-2-222-2-22-222-2-222-2-222-2-22−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+5200000000000000000000000
χ8322-2-222-2-22-222-2-22-222-2-222-2−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−5200000000000000000000000
χ8422-2-222-2-22-22-222-22-2-22-222-2−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−52−1+52−1+521−5200000000000000000000000
χ8522-2-222-2-22-22-222-2-222-22-2-22−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−52−1+521−521−52−1+5200000000000000000000000
χ8644444-4-444-4-4000000000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+5000000000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−500000000000000000000000000000000000
χ8744444-4-4-4-444000000000000−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−5000000000000−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+500000000000000000000000000000000000
χ8844-4-44-444-4-44000000000000−1−5−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5000000000000−1+5−1+51−51−5−1+51−5−1+5−1+51−51−5−1+500000000000000000000000000000000000
χ8944-4-44-44-444-4000000000000−1−5−1−51+51+5−1−51+5−1−51+5−1−5−1−51+5000000000000−1+5−1+51−51−5−1+51−5−1+51−5−1+5−1+51−500000000000000000000000000000000000
χ90888-8-8000000000000000000−2−25−2−25−2−252+252+25000000000000000000−2+25−2+25−2+252−252−2500000000000000000000000000000000000000000
χ9188-88-8000000000000000000−2−25−2−252+25−2−252+25000000000000000000−2+25−2+252−25−2+252−2500000000000000000000000000000000000000000
χ9216-16000000000000000000000−4−454+45000000000000000000000−4+454−4500000000000000000000000000000000000000000000

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