K13a2629
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Polynomial invariants
| Jones polynomial | Data:K13a2629/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-15 t^3+49 t^2-89 t+107-89 t^{-1} +49 t^{-2} -15 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2629/Conway Polynomial |
| Determinant | 417 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-a^{10}-2 z^6 a^8-3 z^4 a^8+z^2 a^8+2 a^8+z^8 a^6+z^6 a^6-3 z^4 a^6-5 z^2 a^6-3 a^6+z^8 a^4+3 z^6 a^4+6 z^4 a^4+8 z^2 a^4+3 a^4-z^6 a^2-2 z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-z^4 a^{14}+5 z^7 a^{13}-7 z^5 a^{13}+3 z^3 a^{13}+12 z^8 a^{12}-18 z^6 a^{12}+10 z^4 a^{12}-2 z^2 a^{12}+19 z^9 a^{11}-29 z^7 a^{11}+15 z^5 a^{11}-2 z a^{11}+20 z^{10} a^{10}-23 z^8 a^{10}-2 z^6 a^{10}+14 z^4 a^{10}-8 z^2 a^{10}+a^{10}+12 z^{11} a^9+14 z^9 a^9-68 z^7 a^9+61 z^5 a^9-18 z^3 a^9+z a^9+3 z^{12} a^8+39 z^{10} a^8-90 z^8 a^8+55 z^6 a^8-z^4 a^8-9 z^2 a^8+2 a^8+22 z^{11} a^7-9 z^9 a^7-69 z^7 a^7+82 z^5 a^7-33 z^3 a^7+5 z a^7+3 z^{12} a^6+33 z^{10} a^6-82 z^8 a^6+46 z^6 a^6+8 z^4 a^6-14 z^2 a^6+3 a^6+10 z^{11} a^5+7 z^9 a^5-61 z^7 a^5+64 z^5 a^5-25 z^3 a^5+3 z a^5+14 z^{10} a^4-22 z^8 a^4-4 z^6 a^4+22 z^4 a^4-14 z^2 a^4+3 a^4+11 z^9 a^3-25 z^7 a^3+19 z^5 a^3-6 z^3 a^3+z a^3+5 z^8 a^2-12 z^6 a^2+10 z^4 a^2-3 z^2 a^2+z^7 a-2 z^5 a+z^3 a }[/math] |
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