K13n3434
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Polynomial invariants
| Jones polynomial | Data:K13n3434/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+39 t-47+39 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3434/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +6 z^4 a^{-2} -6 z^4 a^{-4} +2 z^4 a^{-6} -z^4+7 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -2 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +3 z^{10} a^{-2} +11 z^{10} a^{-4} +8 z^{10} a^{-6} +z^9 a^{-1} +2 z^9 a^{-3} +14 z^9 a^{-5} +13 z^9 a^{-7} -7 z^8 a^{-2} -24 z^8 a^{-4} -6 z^8 a^{-6} +11 z^8 a^{-8} +2 z^7 a^{-1} -7 z^7 a^{-3} -40 z^7 a^{-5} -26 z^7 a^{-7} +5 z^7 a^{-9} +22 z^6 a^{-2} +28 z^6 a^{-4} -13 z^6 a^{-6} -22 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+2 z^5 a^{-1} +18 z^5 a^{-3} +36 z^5 a^{-5} +11 z^5 a^{-7} -8 z^5 a^{-9} -23 z^4 a^{-2} -17 z^4 a^{-4} +9 z^4 a^{-6} +9 z^4 a^{-8} -z^4 a^{-10} -7 z^4-2 a z^3-7 z^3 a^{-1} -15 z^3 a^{-3} -14 z^3 a^{-5} -2 z^3 a^{-7} +2 z^3 a^{-9} +11 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +4 z^2+a z+3 z a^{-1} +5 z a^{-3} +3 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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