Finite Group Databasebeta

← Group #11746679

Character table — Group #11746679

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020112224444445588888810101020202020202020202020
order12244588102020441020404040402244444888888366121215242430606012123060120120120120661212121212242424242424366121215242430606012123060120120120120661212121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1
χ311111111111-1-1111111-1-1-1ii−i−i-1-1ii−i−i11111111111-1-1111111-1-1-1ii−i−i-1-1ii−i−i11111111111-1-1111111-1-1-1ii−i−i-1-1ii−i−i
χ411111111111-1-1111111-1-1-1−i−iii-1-1−i−iii11111111111-1-1111111-1-1-1−i−iii-1-1−i−iii11111111111-1-1111111-1-1-1−i−iii-1-1−i−iii
χ5111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1
χ6111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111
χ7111111-1-1111-1-111-1-1-1-1-1-1-1ii−i−i11−i−iii111111-1-1111-1-111-1-1-1-1-1-1-1ii−i−i11−i−iii111111-1-1111-1-111-1-1-1-1-1-1-1ii−i−i11−i−iii
χ8111111-1-1111-1-111-1-1-1-1-1-1-1−i−iii11ii−i−i111111-1-1111-1-111-1-1-1-1-1-1-1−i−iii11ii−i−i111111-1-1111-1-111-1-1-1-1-1-1-1−i−iii11ii−i−i
χ9111-1-11i−i1-1-1111-1ii−i−i-1-11i−ii−ii−i1-11-1111-1-11i−i1-1-1111-1ii−i−i-1-11i−ii−ii−i1-11-1111-1-11i−i1-1-1111-1ii−i−i-1-11i−ii−ii−i1-11-1
χ10111-1-11i−i1-1-1111-1ii−i−i-1-11−ii−iii−i-11-11111-1-11i−i1-1-1111-1ii−i−i-1-11−ii−iii−i-11-11111-1-11i−i1-1-1111-1ii−i−i-1-11−ii−iii−i-11-11
χ11111-1-11i−i1-1-1-1-11-1ii−i−i11-11-1-11−ii−iii−i111-1-11i−i1-1-1-1-11-1ii−i−i11-11-1-11−ii−iii−i111-1-11i−i1-1-1-1-11-1ii−i−i11-11-1-11−ii−iii−i
χ12111-1-11i−i1-1-1-1-11-1ii−i−i11-1-111-1−iii−i−ii111-1-11i−i1-1-1-1-11-1ii−i−i11-1-111-1−iii−i−ii111-1-11i−i1-1-1-1-11-1ii−i−i11-1-111-1−iii−i−ii
χ13111-1-11−ii1-1-1111-1−i−iii-1-11i−ii−i−ii-11-11111-1-11−ii1-1-1111-1−i−iii-1-11i−ii−i−ii-11-11111-1-11−ii1-1-1111-1−i−iii-1-11i−ii−i−ii-11-11
χ14111-1-11−ii1-1-1111-1−i−iii-1-11−ii−ii−ii1-11-1111-1-11−ii1-1-1111-1−i−iii-1-11−ii−ii−ii1-11-1111-1-11−ii1-1-1111-1−i−iii-1-11−ii−ii−ii1-11-1
χ15111-1-11−ii1-1-1-1-11-1−i−iii11-11-1-11i−ii−i−ii111-1-11−ii1-1-1-1-11-1−i−iii11-11-1-11i−ii−i−ii111-1-11−ii1-1-1-1-11-1−i−iii11-11-1-11i−ii−i−ii
χ16111-1-11−ii1-1-1-1-11-1−i−iii11-1-111-1i−i−iii−i111-1-11−ii1-1-1-1-11-1−i−iii11-1-111-1i−i−iii−i111-1-11−ii1-1-1-1-11-1−i−iii11-1-111-1i−i−iii−i
χ1722-22-22002-2-222-220000-22-2000000000022-22-22002-2-222-220000-22-2000000000022-22-22002-2-222-220000-22-20000000000
χ1822-22-22002-2-2-2-2-2200002-22000000000022-22-22002-2-2-2-2-2200002-22000000000022-22-22002-2-2-2-2-2200002-220000000000
χ1922-2-2220022222-2-200002-2-2000000000022-2-2220022222-2-200002-2-2000000000022-2-2220022222-2-200002-2-20000000000
χ2022-2-22200222-2-2-2-20000-222000000000022-2-22200222-2-2-2-20000-222000000000022-2-22200222-2-2-2-20000-2220000000000
χ2144444-144-1-1-100-1-1-1-1-1-1000000000000044444-144-1-1-100-1-1-1-1-1-1000000000000044444-144-1-1-100-1-1-1-1-1-10000000000000
χ2244444-1-4-4-1-1-100-1-11111000000000000044444-1-4-4-1-1-100-1-11111000000000000044444-1-4-4-1-1-100-1-111110000000000000
χ23444-4-4-14i−4i-11100-11−i−iii0000000000000444-4-4-14i−4i-11100-11−i−iii0000000000000444-4-4-14i−4i-11100-11−i−iii0000000000000
χ24444-4-4-1−4i4i-11100-11ii−i−i0000000000000444-4-4-1−4i4i-11100-11ii−i−i0000000000000444-4-4-1−4i4i-11100-11ii−i−i0000000000000
χ2544-44-4-100-111001-1i5−i5i5−i5000000000000044-44-4-100-111001-1i5−i5i5−i5000000000000044-44-4-100-111001-1i5−i5i5−i50000000000000
χ2644-44-4-100-111001-1−i5i5−i5i5000000000000044-44-4-100-111001-1−i5i5−i5i5000000000000044-44-4-100-111001-1−i5i5−i5i50000000000000
χ2744-4-44-100-1-1-100115−5−55000000000000044-4-44-100-1-1-100115−5−55000000000000044-4-44-100-1-1-100115−5−550000000000000
χ2844-4-44-100-1-1-10011−555−5000000000000044-4-44-100-1-1-10011−555−5000000000000044-4-44-100-1-1-10011−555−50000000000000
χ294-4000400-4004i−4i00000000000000000004-4000400-4004i−4i00000000000000000004-4000400-4004i−4i0000000000000000000
χ304-4000400-400−4i4i00000000000000000004-4000400-400−4i4i00000000000000000004-4000400-400−4i4i0000000000000000000
χ318-8000-20022i5−2i50000000000000000000008-8000-20022i5−2i50000000000000000000008-8000-20022i5−2i5000000000000000000000
χ328-8000-2002−2i52i50000000000000000000008-8000-2002−2i52i50000000000000000000008-8000-2002−2i52i5000000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ341111111111111111111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3511111111111-1-1111111-1-1-1ii−i−i-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ3611111111111-1-1111111-1-1-1−i−iii-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ37111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ38111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ39111111-1-1111-1-111-1-1-1-1-1-1-1ii−i−i11−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ40111111-1-1111-1-111-1-1-1-1-1-1-1−i−iii11ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ41111-1-11i−i1-1-1111-1ii−i−i-1-11i−ii−ii−i1-11-1−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32
χ42111-1-11i−i1-1-1111-1ii−i−i-1-11−ii−iii−i-11-11−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32
χ43111-1-11i−i1-1-1-1-11-1ii−i−i11-11-1-11−ii−iii−i−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ44111-1-11i−i1-1-1-1-11-1ii−i−i11-1-111-1−iii−i−ii−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ45111-1-11−ii1-1-1111-1−i−iii-1-11i−ii−i−ii-11-11−1+i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32
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χ70111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ71111111-1-1111-1-111-1-1-1-1-1-1-1ii−i−i11−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ72111111-1-1111-1-111-1-1-1-1-1-1-1−i−iii11ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ73111-1-11i−i1-1-1111-1ii−i−i-1-11i−ii−ii−i1-11-1−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32
χ74111-1-11i−i1-1-1111-1ii−i−i-1-11−ii−iii−i-11-11−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32
χ75111-1-11i−i1-1-1-1-11-1ii−i−i11-11-1-11−ii−iii−i−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ76111-1-11i−i1-1-1-1-11-1ii−i−i11-1-111-1−iii−i−ii−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ77111-1-11−ii1-1-1111-1−i−iii-1-11i−ii−i−ii-11-11−1−i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32
χ78111-1-11−ii1-1-1111-1−i−iii-1-11−ii−ii−ii1-11-1−1−i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32
χ79111-1-11−ii1-1-1-1-11-1−i−iii11-11-1-11i−ii−i−ii−1−i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i321+i321+i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i321−i321−i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ80111-1-11−ii1-1-1-1-11-1−i−iii11-1-111-1i−i−iii−i−1−i32−1−i32−1−i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i321+i321+i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i321−i321−i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ8122-22-22002-2-222-220000-22-20000000000−1−i3−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i31+i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i31−i30000000000
χ8222-22-22002-2-2-2-2-2200002-220000000000−1−i3−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i31+i31+i31+i3−1−i30000−1−i31+i3−1−i30000000000−1+i3−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i31−i31−i31−i3−1+i30000−1+i31−i3−1+i30000000000
χ8322-2-2220022222-2-200002-2-20000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i31+i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i31−i30000000000
χ8422-2-22200222-2-2-2-20000-2220000000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3−1+i30000000000
χ8544444-144-1-1-100-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i3−2−2i31+i321+i321+i32001+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i3−2+2i31−i321−i321−i32001−i321−i321−i321−i321−i321−i320000000000000
χ8644444-1-4-4-1-1-100-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i322+2i32+2i31+i321+i321+i32001+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i322−2i32−2i31−i321−i321−i32001−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ87444-4-4-14i−4i-11100-11−i−iii0000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i32−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ431+i32−1−i32−1−i32001+i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ430000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ591−i32−1+i32−1+i32001−i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ590000000000000
χ88444-4-4-1−4i4i-11100-11ii−i−i0000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i324ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ431+i32−1−i32−1−i32001+i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ430000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i324ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ591−i32−1+i32−1+i32001−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ590000000000000
χ8944-44-4-100-111001-1i5−i5i5−i50000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32001+i32−1−i32−1−i3200−1−i321+i32ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ430000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32001−i32−1+i32−1+i3200−1+i321−i32−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ590000000000000
χ9044-44-4-100-111001-1−i5i5−i5i50000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32001+i32−1−i32−1−i3200−1−i321+i32−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ430000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32001−i32−1+i32−1+i3200−1+i321−i32ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ590000000000000
χ9144-4-44-100-1-1-100115−5−550000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32001+i321+i321+i3200−1−i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32001−i321−i321−i3200−1+i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000000000
χ9244-4-44-100-1-1-10011−555−50000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32001+i321+i321+i3200−1−i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32001−i321−i321−i3200−1+i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000000000
χ934-4000400-4004i−4i0000000000000000000−2−2i32+2i3000−2−2i3002+2i300−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ430000000000000000000−2+2i32−2i3000−2+2i3002−2i300−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ590000000000000000000
χ944-4000400-400−4i4i0000000000000000000−2−2i32+2i3000−2−2i3002+2i3004ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ430000000000000000000−2+2i32−2i3000−2+2i3002−2i3004ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ590000000000000000000
χ958-8000-20022i5−2i5000000000000000000000−4−4i34+4i30001+i300−1−i32ζ7−2ζ19−2ζ31+2ζ43−2ζ7+2ζ19+2ζ31−2ζ43000000000000000000000−4+4i34−4i30001−i300−1+i3−2ζ11+2ζ23+2ζ47−2ζ592ζ11−2ζ23−2ζ47+2ζ59000000000000000000000
χ968-8000-2002−2i52i5000000000000000000000−4−4i34+4i30001+i300−1−i3−2ζ7+2ζ19+2ζ31−2ζ432ζ7−2ζ19−2ζ31+2ζ43000000000000000000000−4+4i34−4i30001−i300−1+i32ζ11−2ζ23−2ζ47+2ζ59−2ζ11+2ζ23+2ζ47−2ζ59000000000000000000000

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