K13n3688
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Polynomial invariants
| Jones polynomial | Data:K13n3688/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-23 t+27-23 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3688/Conway Polynomial |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -2 z^6 a^{-4} -z^6+15 z^4 a^{-2} -8 z^4 a^{-4} +z^4 a^{-6} -4 z^4+18 z^2 a^{-2} -10 z^2 a^{-4} +2 z^2 a^{-6} -6 z^2+8 a^{-2} -4 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +5 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +4 z^9 a^{-7} -16 z^8 a^{-2} -42 z^8 a^{-4} -22 z^8 a^{-6} +z^8 a^{-8} +3 z^8+a z^7-14 z^7 a^{-1} -28 z^7 a^{-3} -32 z^7 a^{-5} -19 z^7 a^{-7} +22 z^6 a^{-2} +60 z^6 a^{-4} +29 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+a z^5+15 z^5 a^{-1} +41 z^5 a^{-3} +54 z^5 a^{-5} +27 z^5 a^{-7} +3 a^2 z^4-31 z^4 a^{-2} -50 z^4 a^{-4} -15 z^4 a^{-6} +4 z^4 a^{-8} +3 z^4+a^3 z^3+a z^3-10 z^3 a^{-1} -30 z^3 a^{-3} -30 z^3 a^{-5} -10 z^3 a^{-7} -2 a^2 z^2+25 z^2 a^{-2} +23 z^2 a^{-4} +5 z^2 a^{-6} +5 z^2-a^3 z+5 z a^{-1} +9 z a^{-3} +4 z a^{-5} -z a^{-7} -8 a^{-2} -4 a^{-4} -3 }[/math] |
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