K13n3502
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Polynomial invariants
| Jones polynomial | Data:K13n3502/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-13 t^2+15 t-15+15 t^{-1} -13 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3502/Conway Polynomial |
| Determinant | 87 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{10}-7 z^2 a^{10}-4 a^{10}+3 z^6 a^8+14 z^4 a^8+17 z^2 a^8+5 a^8-z^8 a^6-5 z^6 a^6-7 z^4 a^6-3 z^2 a^6+z^6 a^4+4 z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^3 a^{15}-3 z a^{15}+z^6 a^{14}+2 z^4 a^{14}-z^2 a^{14}+2 z^7 a^{13}+z^3 a^{13}+2 z^8 a^{12}+2 z^6 a^{12}-7 z^4 a^{12}+5 z^2 a^{12}+2 z^9 a^{11}+z^7 a^{11}-9 z^5 a^{11}+7 z^3 a^{11}-2 z a^{11}+2 z^{10} a^{10}-3 z^8 a^{10}+z^4 a^{10}-9 z^2 a^{10}+4 a^{10}+z^{11} a^9-4 z^7 a^9-6 z^5 a^9+12 z^3 a^9-6 z a^9+5 z^{10} a^8-20 z^8 a^8+22 z^6 a^8-4 z^4 a^8-10 z^2 a^8+5 a^8+z^{11} a^7+z^9 a^7-19 z^7 a^7+28 z^5 a^7-8 z^3 a^7-z a^7+3 z^{10} a^6-14 z^8 a^6+18 z^6 a^6-7 z^4 a^6+2 z^2 a^6+3 z^9 a^5-16 z^7 a^5+25 z^5 a^5-11 z^3 a^5+z^8 a^4-5 z^6 a^4+7 z^4 a^4-3 z^2 a^4 }[/math] |
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