K13a1123
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Polynomial invariants
| Jones polynomial | Data:K13a1123/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-14 t^3+40 t^2-68 t+81-68 t^{-1} +40 t^{-2} -14 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1123/Conway Polynomial |
| Determinant | 329 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -2 z^6 a^{-2} +2 z^6 a^{-4} +3 z^6 a^{-6} -z^6 a^{-8} -6 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} -2 z^4 a^{-8} +z^4-5 z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +3 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +5 z^{11} a^{-3} +15 z^{11} a^{-5} +10 z^{11} a^{-7} +5 z^{10} a^{-2} +14 z^{10} a^{-4} +31 z^{10} a^{-6} +22 z^{10} a^{-8} +3 z^9 a^{-1} -7 z^9 a^{-3} -22 z^9 a^{-5} +16 z^9 a^{-7} +28 z^9 a^{-9} -15 z^8 a^{-2} -58 z^8 a^{-4} -92 z^8 a^{-6} -27 z^8 a^{-8} +23 z^8 a^{-10} +z^8-12 z^7 a^{-1} -14 z^7 a^{-3} -28 z^7 a^{-5} -87 z^7 a^{-7} -48 z^7 a^{-9} +13 z^7 a^{-11} +10 z^6 a^{-2} +67 z^6 a^{-4} +79 z^6 a^{-6} -10 z^6 a^{-8} -32 z^6 a^{-10} +5 z^6 a^{-12} -5 z^6+16 z^5 a^{-1} +28 z^5 a^{-3} +60 z^5 a^{-5} +89 z^5 a^{-7} +29 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} +5 z^4 a^{-2} -35 z^4 a^{-4} -28 z^4 a^{-6} +20 z^4 a^{-8} +15 z^4 a^{-10} -2 z^4 a^{-12} +9 z^4-8 z^3 a^{-1} -16 z^3 a^{-3} -36 z^3 a^{-5} -38 z^3 a^{-7} -8 z^3 a^{-9} +2 z^3 a^{-11} -6 z^2 a^{-2} +10 z^2 a^{-4} +5 z^2 a^{-6} -6 z^2 a^{-8} -2 z^2 a^{-10} -7 z^2+z a^{-1} +4 z a^{-3} +8 z a^{-5} +6 z a^{-7} +z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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