K13a1094
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Polynomial invariants
| Jones polynomial | Data:K13a1094/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+24 t^3-53 t^2+84 t-97+84 t^{-1} -53 t^{-2} +24 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1094/Conway Polynomial |
| Determinant | 435 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -2 z^8 a^{-4} -z^8+15 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} -4 z^6+19 z^4 a^{-2} -15 z^4 a^{-4} +3 z^4 a^{-6} -6 z^4+13 z^2 a^{-2} -11 z^2 a^{-4} +3 z^2 a^{-6} -4 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-2} +4 z^{12} a^{-4} +13 z^{11} a^{-1} +28 z^{11} a^{-3} +15 z^{11} a^{-5} +36 z^{10} a^{-2} +43 z^{10} a^{-4} +24 z^{10} a^{-6} +17 z^{10}+12 a z^9-6 z^9 a^{-1} -35 z^9 a^{-3} +5 z^9 a^{-5} +22 z^9 a^{-7} +5 a^2 z^8-115 z^8 a^{-2} -126 z^8 a^{-4} -40 z^8 a^{-6} +13 z^8 a^{-8} -37 z^8+a^3 z^7-28 a z^7-41 z^7 a^{-1} -34 z^7 a^{-3} -68 z^7 a^{-5} -41 z^7 a^{-7} +5 z^7 a^{-9} -11 a^2 z^6+126 z^6 a^{-2} +133 z^6 a^{-4} +25 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +28 z^6-2 a^3 z^5+22 a z^5+54 z^5 a^{-1} +76 z^5 a^{-3} +85 z^5 a^{-5} +33 z^5 a^{-7} -6 z^5 a^{-9} +7 a^2 z^4-76 z^4 a^{-2} -73 z^4 a^{-4} -8 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -15 z^4+a^3 z^3-8 a z^3-30 z^3 a^{-1} -49 z^3 a^{-3} -43 z^3 a^{-5} -14 z^3 a^{-7} +z^3 a^{-9} -a^2 z^2+25 z^2 a^{-2} +23 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} +7 z^2+2 a z+7 z a^{-1} +12 z a^{-3} +10 z a^{-5} +3 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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