K13n4046
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Polynomial invariants
| Jones polynomial | Data:K13n4046/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+24 t-27+24 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4046/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+4 z^2 a^{-2} +z^2 a^{-4} -3 z^2 a^{-6} -3 z^2+ a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^9 a^{-1} +9 z^9 a^{-3} +6 z^9 a^{-5} +z^8 a^{-2} +5 z^8 a^{-4} +5 z^8 a^{-6} +z^8-2 z^7 a^{-1} -20 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} -2 z^6 a^{-2} -20 z^6 a^{-4} -12 z^6 a^{-6} +6 z^6+3 a z^5-3 z^5 a^{-1} +18 z^5 a^{-3} +29 z^5 a^{-5} +5 z^5 a^{-7} -8 z^4 a^{-2} +26 z^4 a^{-4} +21 z^4 a^{-6} +3 z^4 a^{-8} -16 z^4-4 a z^3-z^3 a^{-1} -6 z^3 a^{-3} -18 z^3 a^{-5} -9 z^3 a^{-7} +5 z^2 a^{-2} -10 z^2 a^{-4} -14 z^2 a^{-6} -5 z^2 a^{-8} +6 z^2-z a^{-1} +4 z a^{-5} +3 z a^{-7} + a^{-4} +2 a^{-6} + a^{-8} +1 }[/math] |
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