K13n3636
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Polynomial invariants
| Jones polynomial | Data:K13n3636/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+23 t-27+23 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3636/Conway Polynomial |
| Determinant | 115 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+9 a^4 z^4-9 a^2 z^4+3 z^4-4 a^6 z^2+14 a^4 z^2-7 a^2 z^2+2 z^2-4 a^6+7 a^4-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+5 a^4 z^{10}+4 a^2 z^{10}-2 a^5 z^9+5 a^3 z^9+7 a z^9-2 a^6 z^8-15 a^4 z^8-6 a^2 z^8+7 z^8+4 a^7 z^7+7 a^5 z^7-19 a^3 z^7-18 a z^7+4 z^7 a^{-1} +2 a^8 z^6+5 a^6 z^6+19 a^4 z^6-4 a^2 z^6+z^6 a^{-2} -19 z^6+a^9 z^5-9 a^7 z^5-12 a^5 z^5+19 a^3 z^5+11 a z^5-10 z^5 a^{-1} -4 a^8 z^4+a^6 z^4+2 a^4 z^4+11 a^2 z^4-2 z^4 a^{-2} +12 z^4-3 a^9 z^3+8 a^7 z^3+20 a^5 z^3+4 a^3 z^3-a z^3+4 z^3 a^{-1} +a^8 z^2-8 a^6 z^2-13 a^4 z^2-7 a^2 z^2-3 z^2+2 a^9 z-4 a^7 z-11 a^5 z-7 a^3 z-2 a z+4 a^6+7 a^4+2 a^2 }[/math] |
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