K13n2751
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Polynomial invariants
| Jones polynomial | Data:K13n2751/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+26 t-31+26 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2751/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-14 a^4 z^4+7 a^2 z^4-z^4+5 a^6 z^2-12 a^4 z^2+7 a^2 z^2-z^2+a^6-2 a^4+a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+6 a^7 z^9-a^5 z^9-6 a^3 z^9+a z^9+5 a^8 z^8-16 a^6 z^8-33 a^4 z^8-12 a^2 z^8+3 a^9 z^7-19 a^7 z^7-10 a^5 z^7+15 a^3 z^7+3 a z^7+a^{10} z^6-15 a^8 z^6+20 a^6 z^6+65 a^4 z^6+34 a^2 z^6+5 z^6-9 a^9 z^5+19 a^7 z^5+23 a^5 z^5-13 a^3 z^5-7 a z^5+z^5 a^{-1} -3 a^{10} z^4+11 a^8 z^4-8 a^6 z^4-54 a^4 z^4-41 a^2 z^4-9 z^4+5 a^9 z^3-5 a^7 z^3-9 a^5 z^3+3 a^3 z^3+a z^3-z^3 a^{-1} +a^{10} z^2-3 a^8 z^2+3 a^6 z^2+19 a^4 z^2+14 a^2 z^2+2 z^2-a^9 z-a^7 z-a^6-2 a^4-a^2+1 }[/math] |
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