K13a1093
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Polynomial invariants
| Jones polynomial | Data:K13a1093/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-10 t^3+40 t^2-85 t+109-85 t^{-1} +40 t^{-2} -10 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a1093/Conway Polynomial |
| Determinant | 381 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-3 z^6 a^{-2} +3 z^6+a^4 z^4-4 a^2 z^4-7 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4+a^4 z^2-4 a^2 z^2-8 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +8 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+9 a z^{11}+16 z^{11} a^{-1} +7 z^{11} a^{-3} +17 a^2 z^{10}+27 z^{10} a^{-2} +10 z^{10} a^{-4} +34 z^{10}+18 a^3 z^9+22 a z^9+5 z^9 a^{-1} +9 z^9 a^{-3} +8 z^9 a^{-5} +12 a^4 z^8-12 a^2 z^8-60 z^8 a^{-2} -14 z^8 a^{-4} +4 z^8 a^{-6} -66 z^8+5 a^5 z^7-27 a^3 z^7-76 a z^7-76 z^7 a^{-1} -51 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-19 a^4 z^6-21 a^2 z^6+27 z^6 a^{-2} -6 z^6 a^{-4} -11 z^6 a^{-6} +21 z^6-7 a^5 z^5+13 a^3 z^5+63 a z^5+81 z^5 a^{-1} +54 z^5 a^{-3} +13 z^5 a^{-5} -3 z^5 a^{-7} -a^6 z^4+12 a^4 z^4+27 a^2 z^4+15 z^4 a^{-2} +20 z^4 a^{-4} +11 z^4 a^{-6} +20 z^4+3 a^5 z^3-a^3 z^3-20 a z^3-33 z^3 a^{-1} -23 z^3 a^{-3} -3 z^3 a^{-5} +3 z^3 a^{-7} -3 a^4 z^2-11 a^2 z^2-17 z^2 a^{-2} -13 z^2 a^{-4} -5 z^2 a^{-6} -17 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4 }[/math] |
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