Finite Group Databasebeta

← Group #14313653

Character table — Group #14313653

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222244444444444444448888888888888888888888888888151516161616161616161616162424242430404040404848484848484848606060606080808080120
order12235561010444446101015153030303030304121212121220202020202020202020606060606060606060606060441220206060606060606060888848888404040404040404022244242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ311111111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ5111111111111-1-111111111111-1111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i1ii−i−iiiii−i−i−i−i1-1-111ii−i−i-1
χ6111111111111-1-111111111111-1111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iii1−i−iii−i−i−i−iiiii1-1-111−i−iii-1
χ7111111111111-1-111111111111-1111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1−i−iiiiiii−i−i−i−i-111-1-1−i−iii1
χ8111111111111-1-111111111111-1111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1ii−i−i−i−i−i−iiiii-111-1-1ii−i−i1
χ91111111111-1-11111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-11-111-11-111-1-111-1-1111-1-11-11-1-1
χ101111111111-1-11111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-11-111-11-11-1-111-1-111111-1-1-11-11-1
χ111111111111-1-11111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-11-1-1-11-1111-1-111-1-1-1-1-111-11-111
χ121111111111-1-11111111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-111-1-111-1-1-1111-11-11
χ131111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111i−i−ii1i−i−iiii−i−i−i−iii1-1-1-1-1i−i−ii1
χ141111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111−iii−i1−iii−i−i−iiiii−i−i1-1-1-1-1−iii−i1
χ151111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111i−i−ii-1−iii−iii−i−i−i−iii-11111−iii−i-1
χ161111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111−iii−i-1i−i−ii−i−iiiii−i−i-11111i−i−ii-1
χ17222222222-2002-2222222222220-2002-2-2-2000022-2-200000000-2-2-2-22200022-2-2000000002000000000000-22-20000000
χ18222222222-2002-2222222222220-2002-2-2-2000022-2-200000000-2-2-2-2-2-200022-2-200000000-20000000000002-220000000
χ19222222222-200-22222222222220-200-22-2-20000-2-22200000000-2-2-2-222000-2-222000000002000000000000-2-220000000
χ20222222222-200-22222222222220-200-22-2-20000-2-22200000000-2-2-2-2-2-2000-2-22200000000-200000000000022-20000000
χ212222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52002−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222200000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ222222−1−52−1+522−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52002−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2000001+521−521+521−521+521−521+521−520000000000
χ232222−1−52−1+522−1−52−1+52222-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-2−1−52−1+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+5200-21+521−521+521−521+521−521+521+521−521−522i2i−2i−2i00000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000000
χ242222−1−52−1+522−1−52−1+52222-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-2−1−52−1+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+5200-21+521−521+521−521+521−521+521+521−521−52−2i−2i2i2i00000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000000
χ252222−1−52−1+522−1−52−1+522-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222−1−52−1+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+5200-21+521−52−1−52−1+52−1−52−1+521+521+521−521−522-22-200000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ262222−1−52−1+522−1−52−1+522-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222−1−52−1+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+5200-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52-22-22000001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ272222−1−52−1+522−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52002−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+522i−2i−2i2i00000−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−ζ470000000000
χ282222−1−52−1+522−1−52−1+522-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52002−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−2i2i2i−2i00000ζ11+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+ζ470000000000
χ292222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52002−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222200000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ302222−1+52−1−522−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52002−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2000001−521+521−521+521−521+521−521+520000000000
χ312222−1+52−1−522−1+52−1−52222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-2−1+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+52−1−52−1−5200-21−521+521−521+521−521+521−521−521+521+522i2i−2i−2i00000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000000000
χ322222−1+52−1−522−1+52−1−52222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-2−1+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+52−1−52−1−5200-21−521+521−521+521−521+521−521−521+521+52−2i−2i2i2i00000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000000
χ332222−1+52−1−522−1+52−1−522-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+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+52−1−52−1−5200-21−521+52−1+52−1−52−1+52−1−521−521−521+521+522-22-200000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ342222−1+52−1−522−1+52−1−522-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+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+52−1−52−1−5200-21−521+52−1+52−1−52−1+52−1−521−521−521+521+52-22-22000001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ352222−1+52−1−522−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52002−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−522i−2i−2i2i00000−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−ζ590000000000
χ362222−1+52−1−522−1+52−1−522-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52002−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−2i2i2i−2i00000ζ7+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+ζ590000000000
χ37222-122-12222222-122-1-1-1-1-1-1-1-12-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-100-122-1-1-1-1-1-1-1-10000022220000000000000-1-1-1-10
χ38222-122-12222222-122-1-1-1-1-1-1-1-12-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-100-122-1-1-1-1-1-1-1-100000-2-2-2-2000000000000011110
χ39222-122-122222-2-2-122-1-1-1-1-1-1-1-1-2-1-1-111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1001-2-211111111000002i2i−2i−2i0000000000000−i−iii0
χ40222-122-122222-2-2-122-1-1-1-1-1-1-1-1-2-1-1-111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1001-2-21111111100000−2i−2i2i2i0000000000000ii−i−i0
χ41222-122-1222-2-222-122-1-1-1-1-1-1-1-1-2-111-1-122-2-2-2-2222211111111-1-1-1-1001-2-2-1-1-1-11111000002-22-20000000000000-11-110
χ42222-122-1222-2-222-122-1-1-1-1-1-1-1-1-2-111-1-122-2-2-2-2222211111111-1-1-1-1001-2-2-1-1-1-1111100000-22-2200000000000001-11-10
χ43222-122-1222-2-2-2-2-122-1-1-1-1-1-1-1-12-1111122-2-2-2-2-2-2-2-211111111-1-1-1-100-1221111-1-1-1-1000002i−2i−2i2i0000000000000−iii−i0
χ44222-122-1222-2-2-2-2-122-1-1-1-1-1-1-1-12-1111122-2-2-2-2-2-2-2-211111111-1-1-1-100-1221111-1-1-1-100000−2i2i2i−2i0000000000000i−i−ii0
χ454444−1−5−1+54−1−5−1+5-4004-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-4004-41+51−50000−1−5−1+51+51−5000000001+51+51−51−500000−1−5−1+51+51−50000000000000000000000000000000
χ464444−1−5−1+54−1−5−1+5-400-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-400-441+51−500001+51−5−1−5−1+5000000001+51+51−51−5000001+51−5−1−5−1+50000000000000000000000000000000
χ474444−1+5−1−54−1+5−1−5-4004-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-4004-41−51+50000−1+5−1−51−51+5000000001−51−51+51+500000−1+5−1−51−51+50000000000000000000000000000000
χ484444−1+5−1−54−1+5−1−5-400-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-400-441−51+500001−51+5−1+5−1−5000000001−51−51+51+5000001−51+5−1+5−1−50000000000000000000000000000000
χ49444-244-244-4004-4-244-2-2-2-2-2-2-2-20200-22-4-4000044-4-400000000222200000-2-2220000000000000000000000000000000
χ50444-244-244-400-44-244-2-2-2-2-2-2-2-202002-2-4-40000-4-4440000000022220000022-2-20000000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+544444-2−1−5−1+51+521−521+521+521−521−521+521−524-2-2-2-2-2−1−5−1+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+521−521−5200-2−1−5−1+51+521−521+521−521+521+521−521−52000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5444-4-4-2−1−5−1+51+521−521+521+521−521−521+521−52-4-2-2-222−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+521+521+521+521−521−521−521−521+521+521−521−520021+51−5−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ53444-2−1−5−1+5-2−1−5−1+54-4-444-2−1−5−1+51+521−521+521+521−521−521+521−52-4-222-2-2−1−5−1+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+521−521−520021+51−51+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ54444-2−1−5−1+5-2−1−5−1+54-4-4-4-4-2−1−5−1+51+521−521+521+521−521−521+521−524-22222−1−5−1+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+521−521−5200-2−1−5−1+5−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000000000000
χ55444-2−1−5−1+5-2−1−5−1+5-4004-4-2−1−5−1+51+521−521+521+521−521−521+521−520200-221+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+52000001+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ56444-2−1−5−1+5-2−1−5−1+5-4004-4-2−1−5−1+51+521−521+521+521−521−521+521−520200-221+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+52000001+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
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χ58444-2−1−5−1+5-2−1−5−1+5-400-44-2−1−5−1+51+521−521+521+521−521−521+521−5202002-21+51−500001+51−5−1−5−1+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+5200000−1−52−1+521+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ59444-2−1+5−1−5-2−1+5−1−544444-2−1+5−1−51−521+521−521−521+521+521−521+524-2-2-2-2-2−1+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+5200-2−1+5−1−51−521+521−521+521−521−521+521+52000000000000000000000000000
χ60444-2−1+5−1−5-2−1+5−1−5444-4-4-2−1+5−1−51−521+521−521−521+521+521−521+52-4-2-2-222−1+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+520021−51+5−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ61444-2−1+5−1−5-2−1+5−1−54-4-444-2−1+5−1−51−521+521−521−521+521+521−521+52-4-222-2-2−1+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+520021−51+51−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ62444-2−1+5−1−5-2−1+5−1−54-4-4-4-4-2−1+5−1−51−521+521−521−521+521+521−521+524-22222−1+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+5200-2−1+5−1−5−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000000000000
χ63444-2−1+5−1−5-2−1+5−1−5-4004-4-2−1+5−1−51−521+521−521−521+521+521−521+520200-221−51+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+52−1−52−1−52000001−521+52−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
χ64444-2−1+5−1−5-2−1+5−1−5-4004-4-2−1+5−1−51−521+521−521−521+521+521−521+520200-221−51+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+52−1−52−1−52000001−521+52−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ65444-2−1+5−1−5-2−1+5−1−5-400-44-2−1+5−1−51−521+521−521−521+521+521−521+5202002-21−51+500001−51+5−1+5−1−5−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+52−1−52−1−5200000−1+52−1−521−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000000000
χ66444-2−1+5−1−5-2−1+5−1−5-400-44-2−1+5−1−51−521+521−521−521+521+521−521+5202002-21−51+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+52−1−52−1−5200000−1+52−1−521−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000000000
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χ714-40444-4-4-40-2200000440000-4-400-220000-22-220000-22-22-22-2200004i−4i0000000000000000000000000000000−2i2i00000
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χ7388-88−2−25−2+258−2−25−2+2500000-82+252−25−2−25−2+252+252+252−252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000
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χ7688-8-4−2−25−2+25-4−2−25−2+250000042+252−251+51−5−1−5−1−5−1+5−1+51+51−50000000000000000000000002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000
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χ7988-8-4−2+25−2−25-4−2+25−2−250000042−252+251−51+5−1+5−1+5−1−5−1−51−51+50000000000000000000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000
χ808-808−2−25−2+25-82+252−2504-400000−2−25−2+2500002+252−25004-40000−1−51+5−1+51−50000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ818-808−2−25−2+25-82+252−250-4400000−2−25−2+2500002+252−2500-4400001+5−1−51−5−1+500001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ828-808−2+25−2−25-82−252+2504-400000−2+25−2−2500002−252+25004-40000−1+51−5−1−51+50000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ838-808−2+25−2−25-82−252+250-4400000−2+25−2−2500002−252+2500-4400001−5−1+51+5−1−500001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
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χ868-80-4−2−25−2+2542+252−2504-4000001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+500-220000−1−51+5−1+51−50000−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ46−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ878-80-4−2−25−2+2542+252−2504-4000001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+500-220000−1−51+5−1+51−50000−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ34−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ5800000000000000000000000000000000000000000000
χ888-80-4−2−25−2+2542+252−250-44000001+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+5002-200001+5−1−51−5−1+500002ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ898-80-4−2−25−2+2542+252−250-44000001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+5002-200001+5−1−51−5−1+500002ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ5800000000000000000000000000000000000000000000
χ908-80-4−2+25−2−2542−252+2504-4000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500-220000−1+51−5−1−51+50000−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ38−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ3400000000000000000000000000000000000000000000
χ918-80-4−2+25−2−2542−252+2504-4000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500-220000−1+51−5−1−51+50000−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ58−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ4600000000000000000000000000000000000000000000
χ928-80-4−2+25−2−2542−252+250-44000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5002-200001−5−1+51+5−1−500002ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ3400000000000000000000000000000000000000000000
χ938-80-4−2+25−2−2542−252+250-44000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5002-200001−5−1+51+5−1−500002ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ4600000000000000000000000000000000000000000000

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