K13a3845
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Polynomial invariants
| Jones polynomial | Data:K13a3845/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+25 t^2-33 t+35-33 t^{-1} +25 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3845/Conway Polynomial |
| Determinant | 177 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+a^{10}-2 z^6 a^8-8 z^4 a^8-8 z^2 a^8-2 a^8+z^8 a^6+4 z^6 a^6+5 z^4 a^6+4 z^2 a^6+a^6+z^8 a^4+4 z^6 a^4+4 z^4 a^4+z^2 a^4-a^4-z^6 a^2-3 z^4 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+z^2 a^{14}+3 z^7 a^{13}-9 z^5 a^{13}+5 z^3 a^{13}-z a^{13}+5 z^8 a^{12}-15 z^6 a^{12}+11 z^4 a^{12}-3 z^2 a^{12}+6 z^9 a^{11}-18 z^7 a^{11}+15 z^5 a^{11}-z^3 a^{11}-z a^{11}+6 z^{10} a^{10}-20 z^8 a^{10}+25 z^6 a^{10}-10 z^4 a^{10}+4 z^2 a^{10}-a^{10}+5 z^{11} a^9-19 z^9 a^9+32 z^7 a^9-21 z^5 a^9+10 z^3 a^9-2 z a^9+2 z^{12} a^8-26 z^8 a^8+74 z^6 a^8-67 z^4 a^8+21 z^2 a^8-2 a^8+10 z^{11} a^7-49 z^9 a^7+101 z^7 a^7-89 z^5 a^7+30 z^3 a^7-4 z a^7+2 z^{12} a^6-24 z^8 a^6+60 z^6 a^6-55 z^4 a^6+15 z^2 a^6-a^6+5 z^{11} a^5-18 z^9 a^5+26 z^7 a^5-25 z^5 a^5+12 z^3 a^5-z a^5+6 z^{10} a^4-19 z^8 a^4+12 z^6 a^4+z^4 a^4+z^2 a^4-a^4+6 z^9 a^3-21 z^7 a^3+16 z^5 a^3-z^3 a^3+z a^3+4 z^8 a^2-15 z^6 a^2+13 z^4 a^2-z^2 a^2-2 a^2+z^7 a-3 z^5 a+z^3 a }[/math] |
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