K13n4196
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Polynomial invariants
| Jones polynomial | Data:K13n4196/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-31 t+37-31 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4196/Conway Polynomial |
| Determinant | 149 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-2 z^6 a^8-7 z^4 a^8-8 z^2 a^8-3 a^8+z^8 a^6+5 z^6 a^6+10 z^4 a^6+8 z^2 a^6+a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-9 z^5 a^{13}+4 z^3 a^{13}+7 z^8 a^{12}-15 z^6 a^{12}+5 z^4 a^{12}+8 z^9 a^{11}-18 z^7 a^{11}+13 z^5 a^{11}-10 z^3 a^{11}+3 z a^{11}+6 z^{10} a^{10}-12 z^8 a^{10}+10 z^6 a^{10}-8 z^4 a^{10}+3 z^2 a^{10}-a^{10}+2 z^{11} a^9+6 z^9 a^9-31 z^7 a^9+50 z^5 a^9-32 z^3 a^9+8 z a^9+10 z^{10} a^8-34 z^8 a^8+54 z^6 a^8-36 z^4 a^8+15 z^2 a^8-3 a^8+2 z^{11} a^7-12 z^7 a^7+31 z^5 a^7-20 z^3 a^7+4 z a^7+4 z^{10} a^6-15 z^8 a^6+33 z^6 a^6-31 z^4 a^6+12 z^2 a^6-a^6+2 z^9 a^5-3 z^7 a^5+4 z^5 a^5-4 z^3 a^5-z a^5+5 z^6 a^4-10 z^4 a^4+z^2 a^4+2 a^4+z^5 a^3-2 z^3 a^3 }[/math] |
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