K13n150
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Polynomial invariants
| Jones polynomial | Data:K13n150/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+21 t^2-51 t+67-51 t^{-1} +21 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n150/Conway Polynomial |
| Determinant | 217 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-2 a^{10}-z^6 a^8+2 z^4 a^8+6 z^2 a^8+3 a^8-2 z^6 a^6-4 z^4 a^6-4 z^2 a^6-2 a^6+3 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-12 z^6 a^{14}+12 z^4 a^{14}-4 z^2 a^{14}+7 z^9 a^{13}-18 z^7 a^{13}+13 z^5 a^{13}-2 z^3 a^{13}+6 z^{10} a^{12}-4 z^8 a^{12}-21 z^6 a^{12}+24 z^4 a^{12}-6 z^2 a^{12}+2 z^{11} a^{11}+17 z^9 a^{11}-53 z^7 a^{11}+39 z^5 a^{11}-8 z^3 a^{11}-z a^{11}+14 z^{10} a^{10}-14 z^8 a^{10}-29 z^6 a^{10}+36 z^4 a^{10}-14 z^2 a^{10}+2 a^{10}+2 z^{11} a^9+23 z^9 a^9-59 z^7 a^9+42 z^5 a^9-12 z^3 a^9+z a^9+8 z^{10} a^8+4 z^8 a^8-34 z^6 a^8+37 z^4 a^8-17 z^2 a^8+3 a^8+13 z^9 a^7-22 z^7 a^7+25 z^5 a^7-16 z^3 a^7+4 z a^7+10 z^8 a^6-14 z^6 a^6+19 z^4 a^6-12 z^2 a^6+2 a^6+3 z^7 a^5+6 z^5 a^5-7 z^3 a^5+z a^5+6 z^4 a^4-7 z^2 a^4+2 a^4 }[/math] |
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