K13n2553
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Polynomial invariants
| Jones polynomial | Data:K13n2553/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-10 t^2+10 t-9+10 t^{-1} -10 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2553/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+24 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+35 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -12 z^4+26 z^2 a^{-2} -15 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +3 z^{10} a^{-4} +5 z^{10}+5 a z^9-4 z^9 a^{-1} -8 z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-46 z^8 a^{-2} -19 z^8 a^{-4} -24 z^8+a^3 z^7-22 a z^7-14 z^7 a^{-1} +3 z^7 a^{-3} -6 z^7 a^{-5} -12 a^2 z^6+96 z^6 a^{-2} +45 z^6 a^{-4} +39 z^6-4 a^3 z^5+27 a z^5+40 z^5 a^{-1} +23 z^5 a^{-3} +14 z^5 a^{-5} +10 a^2 z^4-92 z^4 a^{-2} -46 z^4 a^{-4} -36 z^4+3 a^3 z^3-15 a z^3-36 z^3 a^{-1} -29 z^3 a^{-3} -11 z^3 a^{-5} -a^2 z^2+41 z^2 a^{-2} +25 z^2 a^{-4} +2 z^2 a^{-6} +17 z^2+4 a z+10 z a^{-1} +11 z a^{-3} +5 z a^{-5} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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