K13n1853
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Polynomial invariants
| Jones polynomial | Data:K13n1853/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+17 t-19+17 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1853/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+3 z^4 a^{-2} -13 z^4+5 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -11 z^2+2 a^2+ a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-4 a z^9-4 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -38 z^8-15 a^3 z^7-12 a z^7-8 z^7 a^{-1} -11 z^7 a^{-3} -5 a^4 z^6+26 a^2 z^6+24 z^6 a^{-2} -2 z^6 a^{-4} +57 z^6+22 a^3 z^5+24 a z^5+15 z^5 a^{-1} +14 z^5 a^{-3} +z^5 a^{-5} +7 a^4 z^4-15 a^2 z^4-16 z^4 a^{-2} +4 z^4 a^{-4} -42 z^4-11 a^3 z^3-10 a z^3-8 z^3 a^{-1} -7 z^3 a^{-3} +2 z^3 a^{-5} -3 a^4 z^2+7 a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +17 z^2+a^3 z+a z+z a^{-1} -z a^{-5} -2 a^2+ a^{-4} -2 }[/math] |
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