K13a2070
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Polynomial invariants
| Jones polynomial | Data:K13a2070/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-20 t^2+40 t-47+40 t^{-1} -20 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a2070/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} +5 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -2 z^4+a^2 z^2-4 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} -4 z^2+2 a^2-2 a^{-2} +2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +5 z^{11} a^{-5} +3 z^{11} a^{-7} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +4 z^9 a^{-1} +z^9 a^{-3} -15 z^9 a^{-5} -8 z^9 a^{-7} +4 z^9 a^{-9} -z^8 a^{-2} +3 z^8 a^{-4} -7 z^8 a^{-6} -11 z^8 a^{-8} +3 z^8 a^{-10} +3 z^8+2 a z^7-9 z^7 a^{-1} -7 z^7 a^{-3} +33 z^7 a^{-5} +15 z^7 a^{-7} -13 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-9 z^6 a^{-2} -12 z^6 a^{-4} +13 z^6 a^{-6} +10 z^6 a^{-8} -12 z^6 a^{-10} -5 z^6-5 a z^5+13 z^5 a^{-1} +14 z^5 a^{-3} -38 z^5 a^{-5} -18 z^5 a^{-7} +12 z^5 a^{-9} -4 z^5 a^{-11} -4 a^2 z^4+20 z^4 a^{-2} +18 z^4 a^{-4} -18 z^4 a^{-6} -5 z^4 a^{-8} +14 z^4 a^{-10} -z^4+2 a z^3-14 z^3 a^{-1} -8 z^3 a^{-3} +18 z^3 a^{-5} +2 z^3 a^{-7} -4 z^3 a^{-9} +4 z^3 a^{-11} +5 a^2 z^2-14 z^2 a^{-2} -8 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} -4 z^2 a^{-10} +3 z^2+a z+5 z a^{-1} +2 z a^{-3} -2 z a^{-5} +z a^{-7} +z a^{-9} -2 a^2+2 a^{-2} +2 a^{-4} -1 }[/math] |
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