K13n38
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Polynomial invariants
| Jones polynomial | Data:K13n38/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-40 t+57-40 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n38/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -6 z^4 a^{-2} +3 z^4 a^{-4} +5 z^4-4 a^2 z^2-10 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +9 z^2+a^4-3 a^2-5 a^{-2} +2 a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +7 z^{10} a^{-4} +6 z^{10}+6 a z^9+13 z^9 a^{-1} +16 z^9 a^{-3} +9 z^9 a^{-5} +2 a^2 z^8-29 z^8 a^{-2} -9 z^8 a^{-4} +5 z^8 a^{-6} -13 z^8-21 a z^7-63 z^7 a^{-1} -69 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} -3 a^2 z^6-5 z^6 a^{-2} -24 z^6 a^{-4} -14 z^6 a^{-6} +2 z^6+4 a^3 z^5+42 a z^5+91 z^5 a^{-1} +73 z^5 a^{-3} +18 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4+11 a^2 z^4+43 z^4 a^{-2} +32 z^4 a^{-4} +10 z^4 a^{-6} +31 z^4-6 a^3 z^3-29 a z^3-47 z^3 a^{-1} -30 z^3 a^{-3} -5 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2-12 a^2 z^2-27 z^2 a^{-2} -13 z^2 a^{-4} -2 z^2 a^{-6} -26 z^2+2 a^3 z+6 a z+8 z a^{-1} +4 z a^{-3} +a^4+3 a^2+5 a^{-2} +2 a^{-4} +6 }[/math] |
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