K13n2399
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Polynomial invariants
| Jones polynomial | Data:K13n2399/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2399/Conway Polynomial |
| Determinant | 153 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-3 z^6 a^8-14 z^4 a^8-21 z^2 a^8-9 a^8+2 z^8 a^6+13 z^6 a^6+32 z^4 a^6+33 z^2 a^6+10 a^6-2 z^6 a^4-8 z^4 a^4-9 z^2 a^4-2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+4 z^7 a^{13}-10 z^5 a^{13}+5 z^3 a^{13}+7 z^8 a^{12}-18 z^6 a^{12}+13 z^4 a^{12}-4 z^2 a^{12}+7 z^9 a^{11}-14 z^7 a^{11}+6 z^5 a^{11}-2 z^3 a^{11}+2 z a^{11}+4 z^{10} a^{10}+2 z^8 a^{10}-26 z^6 a^{10}+32 z^4 a^{10}-9 z^2 a^{10}-2 a^{10}+z^{11} a^9+13 z^9 a^9-48 z^7 a^9+74 z^5 a^9-53 z^3 a^9+15 z a^9+8 z^{10} a^8-18 z^8 a^8+20 z^6 a^8-14 z^4 a^8+18 z^2 a^8-9 a^8+z^{11} a^7+10 z^9 a^7-43 z^7 a^7+85 z^5 a^7-74 z^3 a^7+21 z a^7+4 z^{10} a^6-12 z^8 a^6+31 z^6 a^6-46 z^4 a^6+35 z^2 a^6-10 a^6+4 z^9 a^5-13 z^7 a^5+30 z^5 a^5-35 z^3 a^5+11 z a^5+z^8 a^4+4 z^6 a^4-15 z^4 a^4+12 z^2 a^4-2 a^4+3 z^5 a^3-7 z^3 a^3+3 z a^3 }[/math] |
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