Finite Group Databasebeta

← Group #14418836

Character table — Group #14418836

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111222222222222444444446666666666101010101010303011112222222222224444444466666666661010101010103030222244444444444488888888121212121212121212122020202020206060222244444444444488888888121212121212121212122020202020206060222244444444444488888888121212121212121212122020202020206060
order1244355610101212202020201515303060606060241010101020202020882424242488224461010610101212202020203030303060606060241010101020202020882424242488444412202012202012122020202060606060606060604420202020202020208824242424884444122020122020121220202020606060606060606044202020202020202088242424248844441220201220201212202020206060606060606060442020202020202020882424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i
χ611-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii
χ711-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii
χ811-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i
χ922222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000
χ1122222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000
χ132222-122-122-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-122-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-122-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-122-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-122-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-100
χ142222-122-122-1-12222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-122-1-12222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-122-1-12222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-122-1-12222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-122-1-12222-1-1-1-1-1-1-1-10000000000-2-2111100
χ1522-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1622-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522−1−52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1722-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1822-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522−1+52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1922-2-2-122-12211-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-12211-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-12211-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-12211-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-12211-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii00
χ2022-2-2-122-12211-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-12211-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-12211-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-12211-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-12211-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i00
χ212-22i−2i222-2-2-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000
χ222-22i−2i2−1−52−1+52-21+521−522i−2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000002-22i−2i2−1−52−1+52-21+521−522i−2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000002-22i−2i2−1−52−1+52-21+521−522i−2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000002-22i−2i2−1−52−1+52-21+521−522i−2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000002-22i−2i2−1−52−1+52-21+521−522i−2i−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000
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χ1934-44i−4i4−1+5−1−5-41−51+54i−4i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+5−1−51−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000-44−4i4i-41−51+54−1+5−1−5−4i4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−51+5−1+5−1−52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1944-44i−4i-2442-4-4−2i2i4i−4i4i−4i-2-222−2i2i−2i2i0000000000002ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ10900-44−4i4i2-4-4-2442i−2i−4i4i−4i4i22-2-22i−2i2i−2i000000000000−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ10900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1954-44i−4i-2442-4-4−2i2i4i−4i4i−4i-2-222−2i2i−2i2i000000000000−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ10900-44−4i4i2-4-4-2442i−2i−4i4i−4i4i22-2-22i−2i2i−2i0000000000002ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ10900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1974-4−4i4i4−1−5−1+5-41+51−5−4i4i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000-444i−4i-41+51−54−1−5−1+54i−4i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ941+51−5−1−5−1+5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1984-4−4i4i4−1−5−1+5-41+51−5−4i4i2ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000000-444i−4i-41+51−54−1−5−1+54i−4i−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ941+51−5−1−5−1+5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1994-4−4i4i4−1+5−1−5-41−51+5−4i4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000-444i−4i-41−51+54−1+5−1−54i−4i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−51+5−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2004-4−4i4i4−1+5−1−5-41−51+5−4i4i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000-444i−4i-41−51+54−1+5−1−54i−4i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−51+5−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2014-4−4i4i-2442-4-42i−2i−4i4i−4i4i-2-2222i−2i2i−2i0000000000002ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ11900-444i−4i2-4-4-244−2i2i4i−4i4i−4i22-2-2−2i2i−2i2i000000000000−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ11900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2024-4−4i4i-2442-4-42i−2i−4i4i−4i4i-2-2222i−2i2i−2i000000000000−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ1192ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ11900-444i−4i2-4-4-244−2i2i4i−4i4i−4i22-2-2−2i2i−2i2i0000000000002ζ13−2ζ29+2ζ37−2ζ53+2ζ61−2ζ77−2ζ101+2ζ109−2ζ13+2ζ29−2ζ37+2ζ53−2ζ61+2ζ77+2ζ101−2ζ1092ζ7−2ζ23+2ζ31−2ζ47−2ζ71+2ζ79+2ζ103−2ζ119−2ζ7+2ζ23−2ζ31+2ζ47+2ζ71−2ζ79−2ζ103+2ζ11900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2038888-4−2−25−2+25-4−2−25−2+25-4-4−2−25−2−25−2+25−2+251+51−51+51−51+51+51−51−5000000000000000000-8-8-8-842+252−2542+252−25442+252+252−252−25−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2048888-4−2+25−2−25-4−2+25−2−25-4-4−2+25−2+25−2−25−2−251−51+51−51+51−51−51+51+5000000000000000000-8-8-8-842−252+2542−252+25442−252−252+252+25−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ20588-8-8-4−2−25−2+25-4−2−25−2+25442+252+252−252−251+51−51+51−5−1−5−1−5−1+5−1+5000000000000000000-8-88842+252−2542+252−25-4-4−2−25−2−25−2+25−2+25−1−5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ20688-8-8-4−2+25−2−25-4−2+25−2−25442−252−252+252+251−51+51−51+5−1+5−1+5−1−5−1−5000000000000000000-8-88842−252+2542−252+25-4-4−2+25−2+25−2−25−2−25−1+5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2078-88i−8i-4−2−25−2+2542+252−25−4i4i−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ941+51−5−1−5−1+52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000-88−8i8i42+252−25-4−2−25−2+254i−4i4ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−1−5−1+51+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2088-88i−8i-4−2+25−2−2542−252+25−4i4i−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1181−51+5−1+5−1−52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000-88−8i8i42−252+25-4−2+25−2−254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−1+5−1−51−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2098-8−8i8i-4−2−25−2+2542+252−254i−4i4ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ941+51−5−1−5−1+5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000-888i−8i42+252−25-4−2−25−2+25−4i4i−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2108-8−8i8i-4−2+25−2−2542−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1181−51+5−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000-888i−8i42−252+25-4−2+25−2−25−4i4i−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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