K13n1953
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Polynomial invariants
| Jones polynomial | Data:K13n1953/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+6 t-5+6 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1953/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+5 z^4 a^{-2} +3 z^4-2 a^2 z^2+8 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} +5 a^{-2} - a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+4 a z^9+6 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8-12 z^8 a^{-2} -z^8 a^{-4} +z^8 a^{-6} -7 z^8+a^3 z^7-19 a z^7-34 z^7 a^{-1} -15 z^7 a^{-3} +z^7 a^{-7} -13 a^2 z^6+23 z^6 a^{-2} +4 z^6 a^{-4} -6 z^6 a^{-6} -4 a^3 z^5+24 a z^5+58 z^5 a^{-1} +33 z^5 a^{-3} -3 z^5 a^{-5} -6 z^5 a^{-7} +13 a^2 z^4-25 z^4 a^{-2} -9 z^4 a^{-4} +9 z^4 a^{-6} +6 z^4+3 a^3 z^3-13 a z^3-40 z^3 a^{-1} -29 z^3 a^{-3} +5 z^3 a^{-5} +10 z^3 a^{-7} -4 a^2 z^2+17 z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2+4 a z+10 z a^{-1} +8 z a^{-3} -2 z a^{-5} -4 z a^{-7} -5 a^{-2} - a^{-4} + a^{-6} -2 }[/math] |
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