Finite Group Databasebeta

← Group #72231280

Character table — Group #72231280

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1344268826885152020268841216164121616103040402688412161641216161030404051520201030404010304040257510010013442688268851520202688412161641216161030404026884121616412161610304040515202010304040103040402575100100
order123351015155101515226651015155101515510151510103030510151551015155101515101030302266101030301010303022662266101030301010303022661010303010103030101030301010303010103030101030301010303010103030226610103030101030302266
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ5111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32
χ83-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100
χ92222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000
χ1022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000
χ1122−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000
χ126-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000
χ132222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000
χ1422−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000
χ1522−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000
χ166-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000
χ17111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ1911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ203-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-31003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100
χ21111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32
χ2311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32
χ243-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-1003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-100
χ252222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+520000
χ2622−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000
χ2722−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000
χ286-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−52000000
χ292222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−520000
χ3022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000
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χ883-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-100-3100-3100-31003-100-3100-3100-31003-100-3100-3100-31003-1003-1003-1003-100-3100
χ892222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+520000-2-2-2-21−521−521−521−521+521+521+521+520000-2-2-2-21−521−521−521−521+521+521+521+520000-2-2-2-21−521−521−521−521+521+521+521+5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000
χ9022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000
χ9122−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000
χ926-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−52000000-62003−352−1+52003+352−1−52000000-62003−352−1+52003+352−1−52000000-62003−352−1+52003+352−1−520000006-200−3+3521−5200−3−3521+52000000
χ932222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−520000-2-2-2-21+521+521+521+521−521−521−521−520000-2-2-2-21+521+521+521+521−521−521−521−520000-2-2-2-21+521+521+521+521−521−521−521−5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000
χ9422−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000
χ9522−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000
χ966-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000-62003+352−1−52003−352−1+52000000-62003+352−1−52003−352−1+52000000-62003+352−1−52003−352−1+52000000-62003+352−1−52003−352−1+520000006-200−3−3521+5200−3+3521−52000000
χ972222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+520000000000000000
χ9822−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ40000000000000000-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ40000000000000000
χ9922−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ140000000000000000-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ140000000000000000
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χ10222−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ131−521−52−ζ2−ζ8−ζ7−ζ13−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ41+521+52−ζ11−ζ14−ζ−ζ40000000000000000-2-21−i31+i3-2-21−i31+i3-2-21−i31+i322−1+i3−1−i31−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ13−1+52−1+52ζ2+ζ8ζ7+ζ131+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ4−1−52−1−52ζ11+ζ14ζ+ζ40000000000000000
χ10322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ81−521−52−ζ7−ζ13−ζ2−ζ8−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ141+521+52−ζ−ζ4−ζ11−ζ140000000000000000-2-21+i31−i3-2-21+i31−i3-2-21+i31−i322−1−i3−1+i31−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ8−1+52−1+52ζ7+ζ13ζ2+ζ81+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ14−1−52−1−52ζ+ζ4ζ11+ζ140000000000000000
χ1046-2006-2006-200-6200−3+3521−5200−3+3521−5200−3+3521−52003−352−1+5200−3−3521+5200−3−3521+5200−3−3521+52003+352−1−52000000000000000000-6200-6200-62006-2003−352−1+52003−352−1+52003−352−1+5200−3+3521−52003+352−1−52003+352−1−52003+352−1−5200−3−3521+52000000000000000000
χ1054444−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000−1+5−1+5−1+5−1+53−523−523−523−52-1-1-1-10000−1−5−1−5−1−5−1−5-1-1-1-13+523+523+523+5200000000000000000000-4-4-4-41−51−51−51−51+51+51+51+500001−51−51−51−5−3+52−3+52−3+52−3+52111100001+51+51+51+51111−3−52−3−52−3−52−3−5200000000000000000000
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χ1166-2006-2006-2006-200−3−3521+5200−3−3521+5200−3−3521+5200−3−3521+5200−3+3521−5200−3+3521−5200−3+3521−5200−3+3521−52000000000000000000-6200-6200-6200-62003+352−1−52003+352−1−52003+352−1−52003+352−1−52003−352−1+52003−352−1+52003−352−1+52003−352−1+52000000000000000000
χ117222222222222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−521−520000000000000000-2-2-2-2-2-2-2-2-2-2-2-222221+521+521+521+521+521+521+521+521+521+521+521+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+520000000000000000
χ11822−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ4−1−52−1−52ζ11+ζ14ζ+ζ41+521+52−ζ11−ζ14−ζ−ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ13−1+52−1+52ζ2+ζ8ζ7+ζ131−521−52−ζ2−ζ8−ζ7−ζ130000000000000000-2-21−i31+i3-2-21−i31+i3-2-21−i31+i322−1+i3−1−i31+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ41+521+52−ζ11−ζ14−ζ−ζ4−1−52−1−52ζ11+ζ14ζ+ζ41−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ131−521−52−ζ2−ζ8−ζ7−ζ13−1+52−1+52ζ2+ζ8ζ7+ζ130000000000000000
χ11922−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ14−1−52−1−52ζ+ζ4ζ11+ζ141+521+52−ζ−ζ4−ζ11−ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ8−1+52−1+52ζ7+ζ13ζ2+ζ81−521−52−ζ7−ζ13−ζ2−ζ80000000000000000-2-21+i31−i3-2-21+i31−i3-2-21+i31−i322−1−i3−1+i31+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ141+521+52−ζ−ζ4−ζ11−ζ14−1−52−1−52ζ+ζ4ζ11+ζ141−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ81−521−52−ζ7−ζ13−ζ2−ζ8−1+52−1+52ζ7+ζ13ζ2+ζ80000000000000000
χ1206-2006-2006-200-6200−3−3521+5200−3−3521+5200−3−3521+52003+352−1−5200−3+3521−5200−3+3521−5200−3+3521−52003−352−1+52000000000000000000-6200-6200-62006-2003+352−1−52003+352−1−52003+352−1−5200−3−3521+52003−352−1+52003−352−1+52003−352−1+5200−3+3521−52000000000000000000
χ1214444−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000−1−5−1−5−1−5−1−5-1-1-1-13+523+523+523+520000−1+5−1+5−1+5−1+53−523−523−523−52-1-1-1-100000000000000000000-4-4-4-41−51−51−51−51+51+51+51+500001+51+51+51+51111−3−52−3−52−3−52−3−5200001−51−51−51−5−3+52−3+52−3+52−3+52111100000000000000000000
χ12244−2+2i3−2−2i3−1+5−1+52ζ2+2ζ82ζ7+2ζ13−1−5−1−52ζ11+2ζ142ζ+2ζ40000−1−5−1−52ζ11+2ζ142ζ+2ζ4-1-11−i321+i323+523+52−ζ2−ζ8−2ζ11−2ζ14−2ζ−2ζ4−ζ7−ζ130000−1+5−1+52ζ2+2ζ82ζ7+2ζ133−523−52−2ζ2−2ζ8−ζ11−ζ14−ζ−ζ4−2ζ7−2ζ13-1-11−i321+i3200000000000000000000-4-42−2i32+2i31−51−5−2ζ2−2ζ8−2ζ7−2ζ131+51+5−2ζ11−2ζ14−2ζ−2ζ400001+51+5−2ζ11−2ζ14−2ζ−2ζ411−1+i32−1−i32−3−52−3−52ζ2+ζ8+2ζ11+2ζ142ζ+2ζ4+ζ7+ζ1300001−51−5−2ζ2−2ζ8−2ζ7−2ζ13−3+52−3+522ζ2+2ζ8+ζ11+ζ14ζ+ζ4+2ζ7+2ζ1311−1+i32−1−i3200000000000000000000
χ12344−2−2i3−2+2i3−1+5−1+52ζ7+2ζ132ζ2+2ζ8−1−5−1−52ζ+2ζ42ζ11+2ζ140000−1−5−1−52ζ+2ζ42ζ11+2ζ14-1-11+i321−i323+523+52−2ζ−2ζ4−ζ7−ζ13−ζ2−ζ8−2ζ11−2ζ140000−1+5−1+52ζ7+2ζ132ζ2+2ζ83−523−52−ζ−ζ4−2ζ7−2ζ13−2ζ2−2ζ8−ζ11−ζ14-1-11+i321−i3200000000000000000000-4-42+2i32−2i31−51−5−2ζ7−2ζ13−2ζ2−2ζ81+51+5−2ζ−2ζ4−2ζ11−2ζ1400001+51+5−2ζ−2ζ4−2ζ11−2ζ1411−1−i32−1+i32−3−52−3−522ζ+2ζ4+ζ7+ζ13ζ2+ζ8+2ζ11+2ζ1400001−51−5−2ζ7−2ζ13−2ζ2−2ζ8−3+52−3+52ζ+ζ4+2ζ7+2ζ132ζ2+2ζ8+ζ11+ζ1411−1−i32−1+i3200000000000000000000
χ12412-400−3+351−500−3−351+5000000−3−351+500-31009+352−3−52000000−3+351−5009−352−3+5200-310000000000000000000000-124003−35−1+5003+35−1−50000003+35−1−5003-100−9−3523+520000003−35−1+500−9+3523−52003-10000000000000000000000
χ1254444−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000−1−5−1−5−1−5−1−53+523+523+523+52-1-1-1-10000−1+5−1+5−1+5−1+5-1-1-1-13−523−523−523−5200000000000000000000-4-4-4-41+51+51+51+51−51−51−51−500001+51+51+51+5−3−52−3−52−3−52−3−52111100001−51−51−51−51111−3+52−3+52−3+52−3+5200000000000000000000
χ12644−2+2i3−2−2i3−1−5−1−52ζ11+2ζ142ζ+2ζ4−1+5−1+52ζ2+2ζ82ζ7+2ζ130000−1−5−1−52ζ11+2ζ142ζ+2ζ43+523+52−ζ2−ζ8−2ζ11−2ζ14−2ζ−2ζ4−ζ7−ζ13-1-11−i321+i320000−1+5−1+52ζ2+2ζ82ζ7+2ζ13-1-11−i321+i323−523−52−2ζ2−2ζ8−ζ11−ζ14−ζ−ζ4−2ζ7−2ζ1300000000000000000000-4-42−2i32+2i31+51+5−2ζ11−2ζ14−2ζ−2ζ41−51−5−2ζ2−2ζ8−2ζ7−2ζ1300001+51+5−2ζ11−2ζ14−2ζ−2ζ4−3−52−3−52ζ2+ζ8+2ζ11+2ζ142ζ+2ζ4+ζ7+ζ1311−1+i32−1−i3200001−51−5−2ζ2−2ζ8−2ζ7−2ζ1311−1+i32−1−i32−3+52−3+522ζ2+2ζ8+ζ11+ζ14ζ+ζ4+2ζ7+2ζ1300000000000000000000
χ12744−2−2i3−2+2i3−1−5−1−52ζ+2ζ42ζ11+2ζ14−1+5−1+52ζ7+2ζ132ζ2+2ζ80000−1−5−1−52ζ+2ζ42ζ11+2ζ143+523+52−2ζ−2ζ4−ζ7−ζ13−ζ2−ζ8−2ζ11−2ζ14-1-11+i321−i320000−1+5−1+52ζ7+2ζ132ζ2+2ζ8-1-11+i321−i323−523−52−ζ−ζ4−2ζ7−2ζ13−2ζ2−2ζ8−ζ11−ζ1400000000000000000000-4-42+2i32−2i31+51+5−2ζ−2ζ4−2ζ11−2ζ141−51−5−2ζ7−2ζ13−2ζ2−2ζ800001+51+5−2ζ−2ζ4−2ζ11−2ζ14−3−52−3−522ζ+2ζ4+ζ7+ζ13ζ2+ζ8+2ζ11+2ζ1411−1−i32−1+i3200001−51−5−2ζ7−2ζ13−2ζ2−2ζ811−1−i32−1+i32−3+52−3+52ζ+ζ4+2ζ7+2ζ132ζ2+2ζ8+ζ11+ζ1400000000000000000000
χ12812-400−3−351+500−3+351−5000000−3−351+5009+352−3−5200-31000000−3+351−500-31009−352−3+520000000000000000000000-124003+35−1−5003−35−1+50000003+35−1−500−9−3523+52003-10000003−35−1+5003-100−9+3523−520000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.