Finite Group Databasebeta

← Group #14327017

Character table — Group #14327017

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size112222244444444444455101010101030303030112222244444444444455101010101030303030224444488888888888810102020202020606060602244444888888888888101020202020206060606022444448888888888881010202020202060606060
order12346121251015152020303060606060224661212444422646121210103030202030306060606022466121244442264612121010303020203030606060602246612124444226461212101030302020303060606060224661212444444124121212202060602020606060606060444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii
χ5111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1
χ6111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11
χ7111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii
χ8111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i
χ922-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-10000
χ1022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-211110000
χ1122-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-1110000
χ1222-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-10000
χ132-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-2000000
χ142-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-22000000
χ152-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−30000
χ162-2-1013−32-2-1-1001133−3−3-2201-1−3300002-2-1013−32-2-1-1001133−3−3-2201-1−3300002-2-1013−32-2-1-1001133−3−3-2201-1−3300002-2-1013−32-2-1-1001133−3−3-2201-1−3300002-2-1013−32-2-1-1001133−3−3-2201-1−330000
χ172-2-101−332-2-1-10011−3−3332-20-11−3300002-2-101−332-2-1-10011−3−3332-20-11−3300002-2-101−332-2-1-10011−3−3332-20-11−3300002-2-101−332-2-1-10011−3−3332-20-11−3300002-2-101−332-2-1-10011−3−3332-20-11−330000
χ182-2-101−332-2-1-10011−3−333-2201-13−300002-2-101−332-2-1-10011−3−333-2201-13−300002-2-101−332-2-1-10011−3−333-2201-13−300002-2-101−332-2-1-10011−3−333-2201-13−300002-2-101−332-2-1-10011−3−333-2201-13−30000
χ194444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ20444-44-4-4-1-1-1-111-1-1111100000000000444-44-4-4-1-1-1-111-1-1111100000000000444-44-4-4-1-1-1-111-1-1111100000000000444-44-4-4-1-1-1-111-1-1111100000000000444-44-4-4-1-1-1-111-1-1111100000000000
χ2144-24-2-2-2-1-11−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000000044-24-2-2-2-1-11−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000000044-24-2-2-2-1-11−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000000044-24-2-2-2-1-11−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000000044-24-2-2-2-1-11−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i15200000000000
χ2244-24-2-2-2-1-11+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000000044-24-2-2-2-1-11+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000000044-24-2-2-2-1-11+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000000044-24-2-2-2-1-11+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000000044-24-2-2-2-1-11+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i15200000000000
χ2344-2-4-222-1-11−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-2-4-222-1-11−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-2-4-222-1-11−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-2-4-222-1-11−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-2-4-222-1-11−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000
χ2444-2-4-222-1-11+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-2-4-222-1-11+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-2-4-222-1-11+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-2-4-222-1-11+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-2-4-222-1-11+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000
χ254-440-400-11-1-1−i5i511−i5i5i5−i5000000000004-440-400-11-1-1−i5i511−i5i5i5−i5000000000004-440-400-11-1-1−i5i511−i5i5i5−i5000000000004-440-400-11-1-1−i5i511−i5i5i5−i5000000000004-440-400-11-1-1−i5i511−i5i5i5−i500000000000
χ264-440-400-11-1-1i5−i511i5−i5−i5i5000000000004-440-400-11-1-1i5−i511i5−i5−i5i5000000000004-440-400-11-1-1i5−i511i5−i5−i5i5000000000004-440-400-11-1-1i5−i511i5−i5−i5i5000000000004-440-400-11-1-1i5−i511i5−i5−i5i500000000000
χ274-4-20223−23-111−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000004-4-20223−23-111−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000004-4-20223−23-111−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000004-4-20223−23-111−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000004-4-20223−23-111−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ4700000000000
χ284-4-20223−23-111+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000004-4-20223−23-111+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000004-4-20223−23-111+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000004-4-20223−23-111+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000004-4-20223−23-111+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ5900000000000
χ294-4-202−2323-111−i1521+i152−i5i5−1+i152−1−i152−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000004-4-202−2323-111−i1521+i152−i5i5−1+i152−1−i152−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000004-4-202−2323-111−i1521+i152−i5i5−1+i152−1−i152−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000004-4-202−2323-111−i1521+i152−i5i5−1+i152−1−i152−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000004-4-202−2323-111−i1521+i152−i5i5−1+i152−1−i152−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ4700000000000
χ304-4-202−2323-111+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000004-4-202−2323-111+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000004-4-202−2323-111+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000004-4-202−2323-111+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000004-4-202−2323-111+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ5900000000000
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ331111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii
χ341111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i
χ35111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1111-11-1-11111-1-111-1-1-1-111-111-1-11-11-1-1-1-11-111-1-1-1-111-1-11111-1-11-1-111-11-11-1-1-11-111-1-1-1-111-1-11111-1-11-1-111-11-11
χ36111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11111-11-1-11111-1-111-1-1-1-111-111-1-1-11-11-1-1-11-111-1-1-1-111-1-11111-1-11-1-1111-11-1-1-1-11-111-1-1-1-111-1-11111-1-11-1-1111-11-1
χ37111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii111-11-1-11111-1-111-1-1-1-1-1-11-1-111i−i−ii-1-1-11-111-1-1-1-111-1-1111111-111-1-1−iii−i-1-1-11-111-1-1-1-111-1-1111111-111-1-1−iii−i
χ38111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i111-11-1-11111-1-111-1-1-1-1-1-11-1-111−iii−i-1-1-11-111-1-1-1-111-1-1111111-111-1-1i−i−ii-1-1-11-111-1-1-1-111-1-1111111-111-1-1i−i−ii
χ3922-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1000022-12-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-10000-2-21-2111-2-211-2-2111111-2-2-211110000-2-21-2111-2-211-2-2111111-2-2-211110000
χ4022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-21111000022-12-1-1-122-1-122-1-1-1-1-1-1-2-2-211110000-2-21-2111-2-211-2-2111111222-1-1-1-10000-2-21-2111-2-211-2-2111111222-1-1-1-10000
χ4122-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-111000022-1-2-11122-1-1-2-2-1-1111122-2-1-1110000-2-2121-1-1-2-2112211-1-1-1-1-2-2211-1-10000-2-2121-1-1-2-2112211-1-1-1-1-2-2211-1-10000
χ4222-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-1000022-1-2-11122-1-1-2-2-1-11111-2-2211-1-10000-2-2121-1-1-2-2112211-1-1-1-122-2-1-1110000-2-2121-1-1-2-2112211-1-1-1-122-2-1-1110000
χ432-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-20000002-220-2002-22200-2-200002-202-2000000-22-20200-22-2-200220000-220-22000000-22-20200-22-2-200220000-220-22000000
χ442-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-220000002-220-2002-22200-2-20000-220-22000000-22-20200-22-2-2002200002-202-2000000-22-20200-22-2-2002200002-202-2000000
χ452-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−300002-2-1013−32-2-1-1001133−3−32-20-113−30000-2210-1−33-221100-1-1−3−333-2201-1−330000-2210-1−33-221100-1-1−3−333-2201-1−330000
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χ1478-8-40443−43-221−i151+i152i5−2i5−1+i15−1−i152ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ4700000000000-8840-4−43432-2−1+i15−1−i15−2i52i51−i151+i15−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-40443−43-221+i151−i15−2i52i5−1−i15−1+i152ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ5900000000000-8840-4−43432-2−1−i15−1+i152i5−2i51+i151−i15−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-404−4343-221−i151+i15−2i52i5−1+i15−1−i15−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ4700000000000-8840-443−432-2−1+i15−1−i152i5−2i51−i151+i152ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-404−4343-221+i151−i152i5−2i5−1−i15−1+i15−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ5900000000000-8840-443−432-2−1−i15−1+i15−2i52i51+i151−i152ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.