Finite Group Databasebeta

← Group #13137720

Character table — Group #13137720

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222224444444444444444444444444444444466668888888888888888888888888888888899991212121212121212121212121212121212121818181818182424242424242424363636363636363654545454108108
order122233446666669991818181818181818183446669991212121212121212181818181818181818363636363636888812121212121212123636363636363636363636363636363636363636363636364444222424242472727272727272727272727244121212126618181818181844121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111-1-11111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-11111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1
χ91-11-111-11-11-1-1-11111-1-1-1111-1-1-11i−i-11-11111ii−i−i1-1-1-1-1-1111-1-1-1111-1-1-1ii−i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−iii−i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−iii−i−i1-1111-1-1-11-1i−i11-1-111-1-1i−i
χ101-11-111-11-11-1-1-11111-1-1-1111-1-1-11i−i-11-11111ii−i−i1-1-1-1-1-1111-1-1-1111-1-1-1ii−i−ii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i−i−iii1-1ii−i−iiiiiii−i−i−i−i−i−i−ii−i−iii1-1111-1-1-1-11−ii-1-111-1-111−ii
χ111-11-111-11-11-1-1-11111-1-1-1111-1-1-11i−i-11-11111ii−i−i1-1-1-1-1-1111-1-1-1111-1-1-1−i−iiii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−iii−i−i-11−i−iii−i−i−i−i−i−iiiiiiii−iii−i−i-11-1-1-11111-1i−i11-1-1-1-111−ii
χ121-11-111-11-11-1-1-11111-1-1-1111-1-1-11i−i-11-11111ii−i−i1-1-1-1-1-1111-1-1-1111-1-1-1−i−iiii−i1-1ii−i−iiii−i−i−i111-1-1-1iiiiii−i−i−i−i−i−i−i−iii-11−i−iii−i−i−i−i−i−iiiiiii−ii−i−iii-11-1-1-1111-11−ii-1-11111-1-1i−i
χ131-11-111-11-11-1-1-11111-1-1-1111-1-1-11−ii-11-11111−i−iii1-1-1-1-1-1111-1-1-1111-1-1-1ii−i−i−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiiiii−i−i-11ii−i−iiiiiii−i−i−i−i−i−ii−iii−i−i-11-1-1-1111-11i−i-1-11111-1-1−ii
χ141-11-111-11-11-1-1-11111-1-1-1111-1-1-11−ii-11-11111−i−iii1-1-1-1-1-1111-1-1-1111-1-1-1ii−i−i−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii−i−iii-11ii−i−iiiiiii−i−i−i−i−i−i−ii−i−iii-11-1-1-11111-1−ii11-1-1-1-111i−i
χ151-11-111-11-11-1-1-11111-1-1-1111-1-1-11−ii-11-11111−i−iii1-1-1-1-1-1111-1-1-1111-1-1-1−i−iii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiiiii−i−i1-1−i−iii−i−i−i−i−i−iiiiiiii−iii−i−i1-1111-1-1-1-11i−i-1-111-1-111i−i
χ161-11-111-11-11-1-1-11111-1-1-1111-1-1-11−ii-11-11111−i−iii1-1-1-1-1-1111-1-1-1111-1-1-1−i−iii−ii1-1−i−iii−i−i−iiii111-1-1-1−i−i−i−i−i−iiiiiii−i−iii1-1−i−iii−i−i−i−i−i−iiiiiii−ii−i−iii1-1111-1-1-11-1−ii11-1-111-1-1−ii
χ1722222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-100000000000000
χ1822222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2111111111111000000-2-211111100000000000000
χ1922222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-2-2-2111111-1-1-1-1-1-11111111111110000-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-211111100000000000000
χ2022222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-2111111-1-1-1-1-1-1111111111111000022-2-2-2-211111111111100000022-1-1-1-1-1-100000000000000
χ21222222-2-2222222222222222222200222222-20000-2-2-2222222222-2-2-2-2-2-2000000-2-20000000000-2-2-2-2-2-20000000000002222000000000000000000-2-222220000000000-2-20000000000
χ22222222-2-2222222222222222222200222222-20000-2-2-2222222222-2-2-2-2-2-2000000-2-20000000000-2-2-2-2-2-2000000000000-2-2-2-200000000000000000022-2-2-2-20000000000220000000000
χ2322222-122-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1222222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000022-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
χ2422222-122-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1222222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-2-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ680000-2-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
χ2522222-122-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-2-222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68222211-1-11111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000-2-2-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
χ2622222-122-1-1-1222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-2-222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-211-1-11111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ680000221111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
χ2722222-122-1-1-1222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1222222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682222-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000022-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000000000
χ2822222-122-1-1-1222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1222222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-2-2-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000-2-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000000000
χ2922222-122-1-1-1222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-2-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-2-2-222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68222211-1-11111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000-2-2-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000000000
χ3022222-122-1-1-1222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-2-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-2-2-222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-2-211-1-11111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000221111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000000000
χ3122222-122-1-1-1222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-122-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1222222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ522222-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000022-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000000000
χ3222222-122-1-1-1222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-122-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1222222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-2-2-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ520000-2-21111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200000011ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000000000
χ3322222-122-1-1-1222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-2-2-222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52222211-1-11111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000-2-2-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000011ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000000000
χ3422222-122-1-1-1222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-2-2-2-222-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-2-211-1-11111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000221111ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000000000
χ352222-1222222-1-1-1222222222222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1222222000022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-10000000022-1-1-1-1-1-1000000
χ362222-1222222-1-1-1222222222222-122-1-1-1-1-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1222222000022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-2111100000000-2-2111111000000
χ372222-1222222-1-1-1222222222222-1-2-2-1-1-1-1-1-121111-1-12-1-1-1-1-1-1-1-1-12222220000-2-2-1-11111-2-2-2-2-2-2-1-1-1-1-1-1111111111111222200000000000000000022-1-1-1-100000000-2-2-1-11111000000
χ382222-1222222-1-1-1222222222222-1-2-2-1-1-1-1-1-121111-1-12-1-1-1-1-1-1-1-1-12222220000-2-2-1-11111-2-2-2-2-2-2-1-1-1-1-1-1111111111111-2-2-2-2000000000000000000-2-21111000000002211-1-1-1-1000000
χ392222-12-2-2222-1-1-1222222222222-100-1-1-1-1-1-1-2−i3i3−i3i311-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000011−i3i3−i3i3000000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32222000000000000000000-2-2-1-1-1-1000000000011−i3i3−i3i3000000
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χ412222-12-2-2222-1-1-1222222222222-100-1-1-1-1-1-1-2i3−i3i3−i311-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000011i3−i3i3−i3000000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32222000000000000000000-2-2-1-1-1-1000000000011i3−i3i3−i3000000
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χ4322-2-22200-2-22-22-2222-2-2-2-2-2-2222200-2-2222200000000-2-2-2-2-2-22220000002−22−2000000000000000000000000000000002i−2i2i−2i002−22−22−22−22−22−22−22−2002i−2i2i−2i0000000000000000−i2i2−i2i200
χ4422-2-22200-2-22-22-2222-2-2-2-2-2-2222200-2-2222200000000-2-2-2-2-2-22220000002−22−200000000000000000000000000000000−2i2i−2i2i002−22−22−22−22−22−22−22−200−2i2i−2i2i0000000000000000i2−i2i2−i200
χ4522-2-22200-2-22-22-2222-2-2-2-2-2-2222200-2-2222200000000-2-2-2-2-2-2222000000−22−22000000000000000000000000000000002i−2i2i−2i00−22−22−22−22−22−22−22−22002i−2i2i−2i0000000000000000i2−i2i2−i200
χ4622-2-22200-2-22-22-2222-2-2-2-2-2-2222200-2-2222200000000-2-2-2-2-2-2222000000−22−2200000000000000000000000000000000−2i2i−2i2i00−22−22−22−22−22−22−22−2200−2i2i−2i2i0000000000000000−i2i2−i2i200
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χ482-22-2222-2-22-2-2-22222-2-2-2222-2-2-2200-22-2222-20000-222-2-2-2222-2-2-2-2-2-2222000000-220000000000-2-2-2222000000000000−2i−2i2i2i0000000000000000002i−2i−2i−2i2i2i00000000002i−2i0000000000
χ492-22-222-22-22-2-2-22-1-1-1111-1-1-111122i−2i-22-2-1-1-122i2i−2i−2i2-2-2111-1-1-1111-1-1-11112i2i−2i−2i2i−2i2-22i2i−2i−2i−i−i−iiii-1-1-1111−i−i−i−i−i−iiiiiii00002-22i2i−2i−2i−i−i−i−i−i−iiiiiii0000002-2-1-1-111100000000000000
χ502-22-222-22-22-2-2-22-1-1-1111-1-1-111122i−2i-22-2-1-1-122i2i−2i−2i2-2-2111-1-1-1111-1-1-1111−2i−2i2i2i2i−2i2-22i2i−2i−2i−i−i−iiii-1-1-1111−i−i−i−i−i−iiiiiii0000-22−2i−2i2i2iiiiiii−i−i−i−i−i−i000000-22111-1-1-100000000000000
χ512-22-222-22-22-2-2-22-1-1-1111-1-1-11112−2i2i-22-2-1-1-12−2i−2i2i2i2-2-2111-1-1-1111-1-1-11112i2i−2i−2i−2i2i2-2−2i−2i2i2iiii−i−i−i-1-1-1111iiiiii−i−i−i−i−i−i0000-222i2i−2i−2i−i−i−i−i−i−iiiiiii000000-22111-1-1-100000000000000
χ522-22-222-22-22-2-2-22-1-1-1111-1-1-11112−2i2i-22-2-1-1-12−2i−2i2i2i2-2-2111-1-1-1111-1-1-1111−2i−2i2i2i−2i2i2-2−2i−2i2i2iiii−i−i−i-1-1-1111iiiiii−i−i−i−i−i−i00002-2−2i−2i2i2iiiiiii−i−i−i−i−i−i0000002-2-1-1-111100000000000000
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χ13888-8-8-4-40044-44-444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68200-2-22−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-40044-44-444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68200-2-22−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-4-40044-44-44−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52200-2-222ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-88-48008-8-8-444-4-4-4-4-4-4444444-400-44422200000000222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-88-4-400-444-4444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ682002-2-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ6800000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-400-444-4444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ682002-2-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-400-444-444−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ522002-2-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.