K13n401
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Polynomial invariants
| Jones polynomial | Data:K13n401/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+27 t-35+27 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n401/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-2 a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +2 z^4+a^4 z^2-4 a^2 z^2+2 z^2 a^{-2} +2 z^2+a^4-2 a^2+ a^{-2} + a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+5 a z^9+6 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-z^8 a^{-2} +4 z^8 a^{-4} -16 z^8-15 a^3 z^7-35 a z^7-24 z^7 a^{-1} -z^7 a^{-3} +3 z^7 a^{-5} -5 a^4 z^6+a^2 z^6-6 z^6 a^{-2} +z^6 a^{-6} +z^6+24 a^3 z^5+53 a z^5+21 z^5 a^{-1} -8 z^5 a^{-3} +8 a^4 z^4+19 a^2 z^4-6 z^4 a^{-2} -6 z^4 a^{-4} +4 z^4 a^{-6} +15 z^4-14 a^3 z^3-28 a z^3-13 z^3 a^{-1} +z^3 a^{-3} +3 z^3 a^{-5} +3 z^3 a^{-7} -5 a^4 z^2-13 a^2 z^2+5 z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} -8 z^2+3 a^3 z+6 a z+4 z a^{-1} +z a^{-3} -2 z a^{-5} -2 z a^{-7} +a^4+2 a^2- a^{-2} + a^{-4} + a^{-6} +1 }[/math] |
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