K13a1771
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Polynomial invariants
| Jones polynomial | Data:K13a1771/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-12 t^3+34 t^2-58 t+69-58 t^{-1} +34 t^{-2} -12 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1771/Conway Polynomial |
| Determinant | 281 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+3 z^6 a^{-2} -2 z^6 a^{-4} +4 z^6-3 a^2 z^4+3 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +6 z^4-2 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +3 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +8 z^{11} a^{-1} +15 z^{11} a^{-3} +7 z^{11} a^{-5} +24 z^{10} a^{-2} +19 z^{10} a^{-4} +9 z^{10} a^{-6} +14 z^{10}+15 a z^9+2 z^9 a^{-1} -30 z^9 a^{-3} -12 z^9 a^{-5} +5 z^9 a^{-7} +12 a^2 z^8-95 z^8 a^{-2} -92 z^8 a^{-4} -34 z^8 a^{-6} +z^8 a^{-8} -26 z^8+8 a^3 z^7-28 a z^7-55 z^7 a^{-1} -26 z^7 a^{-3} -26 z^7 a^{-5} -19 z^7 a^{-7} +4 a^4 z^6-17 a^2 z^6+115 z^6 a^{-2} +121 z^6 a^{-4} +39 z^6 a^{-6} -3 z^6 a^{-8} +15 z^6+a^5 z^5-10 a^3 z^5+23 a z^5+80 z^5 a^{-1} +80 z^5 a^{-3} +55 z^5 a^{-5} +21 z^5 a^{-7} -5 a^4 z^4+8 a^2 z^4-61 z^4 a^{-2} -66 z^4 a^{-4} -17 z^4 a^{-6} +2 z^4 a^{-8} -z^4-a^5 z^3+3 a^3 z^3-9 a z^3-42 z^3 a^{-1} -51 z^3 a^{-3} -28 z^3 a^{-5} -6 z^3 a^{-7} +a^4 z^2-a^2 z^2+14 z^2 a^{-2} +13 z^2 a^{-4} +2 z^2 a^{-6} +z^2+2 a z+7 z a^{-1} +9 z a^{-3} +3 z a^{-5} -z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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