K13a1653
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Polynomial invariants
| Jones polynomial | Data:K13a1653/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+26 t^2-66 t+89-66 t^{-1} +26 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1653/Conway Polynomial |
| Determinant | 281 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -z^6 a^{-4} -z^6+2 a^2 z^4-2 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} +2 z^4-a^4 z^2-2 z^2 a^{-4} +z^2 a^{-6} +4 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +7 z^{11} a^{-1} +13 z^{11} a^{-3} +6 z^{11} a^{-5} +18 z^{10} a^{-2} +12 z^{10} a^{-4} +7 z^{10} a^{-6} +13 z^{10}+16 a z^9+8 z^9 a^{-1} -26 z^9 a^{-3} -14 z^9 a^{-5} +4 z^9 a^{-7} +14 a^2 z^8-54 z^8 a^{-2} -58 z^8 a^{-4} -28 z^8 a^{-6} +z^8 a^{-8} -11 z^8+9 a^3 z^7-23 a z^7-48 z^7 a^{-1} -2 z^7 a^{-3} -3 z^7 a^{-5} -17 z^7 a^{-7} +4 a^4 z^6-20 a^2 z^6+39 z^6 a^{-2} +74 z^6 a^{-4} +38 z^6 a^{-6} -4 z^6 a^{-8} -17 z^6+a^5 z^5-11 a^3 z^5+11 a z^5+43 z^5 a^{-1} +19 z^5 a^{-3} +22 z^5 a^{-5} +23 z^5 a^{-7} -4 a^4 z^4+14 a^2 z^4-11 z^4 a^{-2} -44 z^4 a^{-4} -22 z^4 a^{-6} +4 z^4 a^{-8} +25 z^4-a^5 z^3+6 a^3 z^3-13 z^3 a^{-1} -10 z^3 a^{-3} -14 z^3 a^{-5} -10 z^3 a^{-7} +a^4 z^2-5 a^2 z^2+3 z^2 a^{-2} +13 z^2 a^{-4} +5 z^2 a^{-6} -11 z^2-a^3 z-a z+z a^{-1} +3 z a^{-3} +2 z a^{-5} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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