Finite Group Databasebeta

← Group #14313733

Character table — Group #14313733

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222224444444444444488888888888888888888888888888161616161616161616161624242424303040404040484848484848484860606080808080120120
order1223556101044461010151530303030303024121212121220202020202020202020606060606060606060606060610103030303060606060888844888840404040404040402222424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111-1-111-1-1
χ811111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-111
χ91111111111-1-1111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1i−ii−i11i−ii−iii−i−iii−i−i1-1-1i−ii−i1-1
χ101111111111-1-1111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1i−ii−i-1-1−ii−iiii−i−iii−i−i-111−ii−ii-11
χ111111111111-1-1111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1−ii−ii11−ii−ii−i−iii−i−iii1-1-1−ii−ii1-1
χ121111111111-1-1111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1−ii−ii-1-1i−ii−i−i−iii−i−iii-111i−ii−i-11
χ131111111111-1-111111111111-11111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1i−i−ii11i−i−iiii−i−i−i−iii1-1-1i−i−ii-11
χ141111111111-1-111111111111-11111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1−iii−iii−i−i−i−iii-111−iii−i1-1
χ151111111111-1-111111111111-11111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−iii−i11−iii−i−i−iiiii−i−i1-1-1−iii−i-11
χ161111111111-1-111111111111-11111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1i−i−ii−i−iiiii−i−i-111i−i−ii1-1
χ17222222222-22-22222222222200-2002-2-2-2000022-2-200000000-2-2-2-2000000022-2-2000022000000000000-22-2000000
χ18222222222-22-22222222222200-2002-2-2-2000022-2-200000000-2-2-2-2000000022-2-20000-2-20000000000002-22000000
χ19222222222-2-222222222222200-200-22-2-20000-2-22200000000-2-2-2-20000000-2-222000022000000000000-2-22000000
χ20222222222-2-222222222222200-200-22-2-20000-2-22200000000-2-2-2-20000000-2-2220000-2-200000000000022-2000000
χ212222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+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+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ222222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+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+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000
χ232222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1+52−1−52−1+5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ242222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1+52−1−52−1+52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ252222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−522i−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ262222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ272222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+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+52-21+521−521+521+521−521−521+521−521+521−522i−2i−2i2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ282222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+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+52-21+521−521+521+521−521−521+521−521+521−52−2i2i2i−2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ292222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+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+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ302222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+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+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000
χ312222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ322222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ332222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ342222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ352222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521+521−521+522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ362222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521+521−521+52−2i2i2i−2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ37222-122-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000222200000000000-1-1-1-100
χ38222-122-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-200000000000111100
χ39222-122-122222-122-1-1-1-1-1-1-1-1-2-2-111-1-122-2-2-2-2222211111111-1-1-1-11-2-21111-1-1-1-100000022-2-200000000000-1-11100
χ40222-122-122222-122-1-1-1-1-1-1-1-1-2-2-111-1-122-2-2-2-2222211111111-1-1-1-11-2-21111-1-1-1-1000000-2-2220000000000011-1-100
χ41222-122-1222-2-2-122-1-1-1-1-1-1-1-12-2-1111122-2-2-2-2-2-2-2-211111111-1-1-1-1-122-1-1-1-111110000002i−2i2i−2i00000000000−ii−ii00
χ42222-122-1222-2-2-122-1-1-1-1-1-1-1-12-2-1111122-2-2-2-2-2-2-2-211111111-1-1-1-1-122-1-1-1-11111000000−2i2i−2i2i00000000000i−ii−i00
χ43222-122-1222-2-2-122-1-1-1-1-1-1-1-1-22-1-1-111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000002i−2i−2i2i00000000000−iii−i00
χ44222-122-1222-2-2-122-1-1-1-1-1-1-1-1-22-1-1-111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111000000−2i2i2i−2i00000000000i−i−ii00
χ454444−1−5−1+54−1−5−1+5-44-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-4004-41+51−50000−1−5−1+51+51−5000000001+51+51−51−50000000−1−5−1+51+51−5000000000000000000000000000
χ464444−1−5−1+54−1−5−1+5-4-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-400-441+51−500001+51−5−1−5−1+5000000001+51+51−51−500000001+51−5−1−5−1+5000000000000000000000000000
χ474444−1+5−1−54−1+5−1−5-44-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-4004-41−51+50000−1+5−1−51−51+5000000001−51−51+51+50000000−1+5−1−51−51+5000000000000000000000000000
χ484444−1+5−1−54−1+5−1−5-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-400-441−51+500001−51+5−1+5−1−5000000001−51−51+51+500000001−51+5−1+5−1−5000000000000000000000000000
χ49444-244-244-44-4-244-2-2-2-2-2-2-2-200200-22-4-4000044-4-40000000022220000000-2-222000000000000000000000000000
χ50444-244-244-4-44-244-2-2-2-2-2-2-2-2002002-2-4-40000-4-444000000002222000000022-2-2000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521+521−521−521+521−5244-2-2-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+51+521+521+521+521−521−521−521−521+521+521−521−52-2−1−5−1+51+521+521−521−521+521−521+521−52000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521+521−521−521+521−52-4-4-222-2-2−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5221+51−5−1−52−1−52−1+52−1+521+521−521+521−52000000000000000000000000000
χ53444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521+521−521−521+521−524-4-22222−1−5−1+51+51+51−51−51+51−51+51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2−1−5−1+51+521+521−521−52−1−52−1+52−1−52−1+52000000000000000000000000000
χ54444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521+521−521−521+521−52-44-2-2-222−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+521+521+521+521−521−521−521−521+521+521−521−5221+51−5−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000000000000000000000000
χ55444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+51+521−521+521+521−521−521+521−5200200-221+51−50000−1−5−1+51+51−5ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−1−52−1−52−1+52−1+52000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+521−52−1−52−1+52000000000000000000000000000
χ56444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+51+521−521+521+521−521−521+521−5200200-221+51−50000−1−5−1+51+51−5−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58−1−52−1−52−1+52−1+52000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+521−52−1−52−1+52000000000000000000000000000
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χ60444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1−51−521+521−521−521+521+521−521+52-4-4-222-2-2−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5221−51+5−1+52−1+52−1−52−1−521−521+521−521+52000000000000000000000000000
χ61444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1−51−521+521−521−521+521+521−521+524-4-22222−1+5−1−51−51−51+51+51−51+51−51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52-2−1+5−1−51−521−521+521+52−1+52−1−52−1+52−1−52000000000000000000000000000
χ62444-2−1+5−1−5-2−1+5−1−54-4-4-2−1+5−1−51−521+521−521−521+521+521−521+52-44-2-2-222−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+51−521−521−521−521+521+521+521+521−521−521+521+5221−51+5−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000000000000000000000000
χ63444-2−1+5−1−5-2−1+5−1−5-44-4-2−1+5−1−51−521+521−521−521+521+521−521+5200200-221−51+50000−1+5−1−51−51+5−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−1+52−1+52−1−52−1−52000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ461−521+52−1+52−1−52000000000000000000000000000
χ64444-2−1+5−1−5-2−1+5−1−5-44-4-2−1+5−1−51−521+521−521−521+521+521−521+5200200-221−51+50000−1+5−1−51−51+5ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ461−521+52−1+52−1−52000000000000000000000000000
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χ66444-2−1+5−1−5-2−1+5−1−5-4-44-2−1+5−1−51−521+521−521−521+521+521−521+52002002-21−51+500001−51+5−1+5−1−5ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46−1+52−1+52−1−52−1−52000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−1+52−1−521−521+52000000000000000000000000000
χ6744-4444444000-4-4-444-4-4-4-444000000000000000000000000000000000000000000004-4000000000000000000000
χ6844-4444444000-4-4-444-4-4-4-44400000000000000000000000000000000000000000000-44000000000000000000000
χ6988-88−2−25−2+258−2−25−2+25000-82+252−25−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000
χ7088-88−2+25−2−258−2+25−2−25000-82−252+25−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000
χ7188-8-488-4880004-8-8-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000
χ7288-8-4−2−25−2+25-4−2−25−2+2500042+252−251+51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ5800000000000000000000000000000000000000
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χ838-80-4−2−25−2+2542+252−250000001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+500023−230000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700002ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ19−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47000000000000000000000000000000000000000000
χ848-80-4−2−25−2+2542+252−250000001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+5000−232300002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ192ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ47000000000000000000000000000000000000000000
χ858-80-4−2−25−2+2542+252−250000001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+500023−2300002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ59−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000000000
χ868-80-4−2−25−2+2542+252−250000001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+5000−23230000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700002ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ592ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000000000
χ878-80-4−2+25−2−2542−252+250000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500023−230000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900002ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ472ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ59000000000000000000000000000000000000000000
χ888-80-4−2+25−2−2542−252+250000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5000−232300002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ59000000000000000000000000000000000000000000
χ898-80-4−2+25−2−2542−252+250000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500023−2300002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900002ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000
χ908-80-4−2+25−2−2542−252+250000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000−23230000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ232ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000

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