Finite Group Databasebeta

← Group #13086829

Character table — Group #13086829

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222222222244444444444444444444444444444444101010101010101010101010101010101010181818181818181818189090111122222222222222222222222244444444444444444444444444444444101010101010101010101010101010101010181818181818181818189090
order1244333355666610101212121212121212202020201515151515151515303030303030303060606060606060606060606060606060882424242424242424242424242424242488404040404040404024224466661010666610101212121212121212202020203030303030303030303030303030303060606060606060606060606060606060882424242424242424242424242424242488404040404040404024
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i1-1
χ611-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii-11
χ711-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i-11
χ811-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii1-1
χ922222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ1022222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000-2-21+521+521−521−521+521+521−521−520022222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000-2-21+521+521−521−521+521+521−521−5200
χ1122222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ1222222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000-2-21−521−521+521+521−521−521+521+520022222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000-2-21−521−521+521+521−521−521+521+5200
χ1322222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000000022222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1422222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000000022222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ152222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000002222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ162222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-211110000000000002222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111000000000000
χ172222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000002222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ182222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-2110000000000002222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000000000000
χ192222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000000000002222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ202222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000000000002222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2000000000000
χ2122-2-22222−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−520000000000000000002i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ940022-2-22222−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−520000000000000000002i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ9400
χ2222-2-22222−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−52000000000000000000−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ940022-2-22222−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−52000000000000000000−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ9400
χ2322-2-22222−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+520000000000000000002i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1180022-2-22222−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+520000000000000000002i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ11800
χ2422-2-22222−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+52000000000000000000−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1180022-2-22222−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+52000000000000000000−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ11800
χ2522-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000022-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000
χ2622-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000022-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000
χ2722-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211112i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000022-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211112i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000
χ2822-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−i00000000000022-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000
χ2922-2-2-1-12-122-1-12-1221111-2-211-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2112i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii00000000000022-2-2-1-12-122-1-12-1221111-2-211-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2112i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000
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χ1734-4−4i4i4-2-2-2−1−5−1+5-42221+51−5−4i4i2i−2i2i−2i2i−2i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+522ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000-444i−4i-42221+51−54-2-2-2−1−5−1+54i−4i−2i2i−2i2i−2i2i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ941+5−1−52−1−52−1−521−5−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−52−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000
χ1744-4−4i4i4-2-2-2−1+5−1−5-42221−51+5−4i4i2i−2i2i−2i2i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521+5−1−52−1−52−1−522ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000-444i−4i-42221−51+54-2-2-2−1+5−1−54i−4i−2i2i−2i2i−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−5−1+52−1+52−1+521+5−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+52−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118000000000000000000000000000000
χ1754-4−4i4i-24-2-2−1−5−1+52-4221+51−52i−2i−4i4i2i−2i2i−2i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ941+52−1−51+521+521−52−1+51−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000-444i−4i2-4221+51−5-24-2-2−1−5−1+5−2i2i4i−4i−2i2i−2i2i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−1−521+5−1−52−1−52−1+521−5−1+52−1+521+52−1−51+521+521−52−1+51−521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000
χ1764-4−4i4i-24-2-2−1+5−1−52-4221−51+52i−2i−4i4i2i−2i2i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−52−1+51−521−521+52−1−51+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000-444i−4i2-4221−51+5-24-2-2−1+5−1−5−2i2i4i−4i−2i2i−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−5−1+52−1+52−1−521+5−1−52−1−521−52−1+51−521−521+52−1−51+521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118000000000000000000000000000000
χ1774-4−4i4i-2-24-2−1−5−1+522-421+51−52i−2i2i−2i−4i4i2i−2i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ941+521+52−1−51+521−521−52−1+51−52−1−52−1−521+5−1−52−1+52−1+521−5−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000-444i−4i22-421+51−5-2-24-2−1−5−1+5−2i2i−2i2i4i−4i−2i2i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−1−52−1−521+5−1−52−1+52−1+521−5−1+521+521+52−1−51+521−521−52−1+51−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000
χ1784-4−4i4i-2-24-2−1+5−1−522-421−51+52i−2i2i−2i−4i4i2i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−521−52−1+51−521+521+52−1−51+52−1+52−1+521−5−1+52−1−52−1−521+5−1−52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118000000000000000000000000000000-444i−4i22-421−51+5-2-24-2−1+5−1−5−2i2i−2i2i4i−4i−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+52−1+521−5−1+52−1−52−1−521+5−1−521−521−52−1+51−521+521+52−1−51+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118000000000000000000000000000000
χ1794-4−4i4i-2-2-24−1−5−1+5222-41+51−52i−2i2i−2i2i−2i−4i4i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ941+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000000000000000-444i−4i222-41+51−5-2-2-24−1−5−1+5−2i2i−2i2i−2i2i4i−4i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−1−52−1−52−1−521+5−1+52−1+52−1+521−51+521+521+52−1−51−521−521−52−1+5ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000000000000000
χ1804-4−4i4i-2-2-24−1+5−1−5222-41−51+52i−2i2i−2i2i−2i−4i4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000000000000000-444i−4i222-41−51+5-2-2-24−1+5−1−5−2i2i−2i2i−2i2i4i−4i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+52−1+52−1+521−5−1−52−1−52−1−521+51−521−521−52−1+51+521+521+52−1−5ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.