K13n352
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Polynomial invariants
| Jones polynomial | Data:K13n352/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+27 t-33+27 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n352/Conway Polynomial |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -5 z^6 a^{-4} +2 z^6 a^{-6} -2 z^4 a^{-2} -9 z^4 a^{-4} +7 z^4 a^{-6} -z^4 a^{-8} +z^4-4 z^2 a^{-2} -5 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2-2 a^{-2} +2 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10} a^{-8} +z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} -z^8 a^{-2} -23 z^8 a^{-4} -39 z^8 a^{-6} -14 z^8 a^{-8} +4 z^8 a^{-10} +z^8-9 z^7 a^{-1} -20 z^7 a^{-3} -36 z^7 a^{-5} -49 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} -2 z^6 a^{-2} +39 z^6 a^{-4} +46 z^6 a^{-6} -z^6 a^{-8} -13 z^6 a^{-10} -7 z^6+20 z^5 a^{-1} +49 z^5 a^{-3} +70 z^5 a^{-5} +65 z^5 a^{-7} +21 z^5 a^{-9} -3 z^5 a^{-11} +17 z^4 a^{-2} -17 z^4 a^{-4} -26 z^4 a^{-6} +6 z^4 a^{-8} +11 z^4 a^{-10} +13 z^4-15 z^3 a^{-1} -35 z^3 a^{-3} -46 z^3 a^{-5} -39 z^3 a^{-7} -11 z^3 a^{-9} +2 z^3 a^{-11} -14 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2 a^{-6} -z^2 a^{-8} -3 z^2 a^{-10} -9 z^2+3 z a^{-1} +8 z a^{-3} +10 z a^{-5} +8 z a^{-7} +3 z a^{-9} +2 a^{-2} -2 a^{-6} - a^{-8} +2 }[/math] |
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