K13n1516
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Polynomial invariants
| Jones polynomial | Data:K13n1516/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-20 t^2+31 t-35+31 t^{-1} -20 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1516/Conway Polynomial |
| Determinant | 155 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-2 z^2 a^{12}+2 z^6 a^{10}+6 z^4 a^{10}+3 z^2 a^{10}-a^{10}-z^8 a^8-4 z^6 a^8-5 z^4 a^8-3 z^2 a^8-a^8+2 z^6 a^6+8 z^4 a^6+9 z^2 a^6+3 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-z^3 a^{17}+4 z^6 a^{16}-5 z^4 a^{16}+z^2 a^{16}+8 z^7 a^{15}-12 z^5 a^{15}+6 z^3 a^{15}-2 z a^{15}+10 z^8 a^{14}-15 z^6 a^{14}+8 z^4 a^{14}-2 z^2 a^{14}+8 z^9 a^{13}-6 z^7 a^{13}-8 z^5 a^{13}+12 z^3 a^{13}-4 z a^{13}+4 z^{10} a^{12}+6 z^8 a^{12}-23 z^6 a^{12}+18 z^4 a^{12}-2 z^2 a^{12}+z^{11} a^{11}+10 z^9 a^{11}-19 z^7 a^{11}+z^5 a^{11}+16 z^3 a^{11}-8 z a^{11}+6 z^{10} a^{10}-7 z^8 a^{10}-3 z^6 a^{10}+4 z^4 a^{10}-2 z^2 a^{10}+a^{10}+z^{11} a^9+3 z^9 a^9-4 z^7 a^9-11 z^5 a^9+14 z^3 a^9-5 z a^9+2 z^{10} a^8-3 z^8 a^8+4 z^6 a^8-11 z^4 a^8+7 z^2 a^8-a^8+z^9 a^7+z^7 a^7-7 z^5 a^7+3 z^3 a^7+z a^7+3 z^6 a^6-10 z^4 a^6+10 z^2 a^6-3 a^6 }[/math] |
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