K13n260
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Polynomial invariants
| Jones polynomial | Data:K13n260/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+11 t^2-8 t+5-8 t^{-1} +11 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n260/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +6 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+13 z^4 a^{-2} +6 z^4 a^{-4} -5 z^4 a^{-6} -5 z^4+15 z^2 a^{-2} +z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} -7 z^2+7 a^{-2} -2 a^{-4} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9-z^9 a^{-1} +4 z^9 a^{-3} +6 z^9 a^{-5} -34 z^8 a^{-2} -16 z^8 a^{-4} +5 z^8 a^{-6} -13 z^8-7 a z^7-20 z^7 a^{-1} -43 z^7 a^{-3} -28 z^7 a^{-5} +2 z^7 a^{-7} +62 z^6 a^{-2} +11 z^6 a^{-4} -22 z^6 a^{-6} +29 z^6+17 a z^5+58 z^5 a^{-1} +84 z^5 a^{-3} +36 z^5 a^{-5} -7 z^5 a^{-7} -50 z^4 a^{-2} +2 z^4 a^{-4} +25 z^4 a^{-6} +z^4 a^{-8} -28 z^4-17 a z^3-54 z^3 a^{-1} -61 z^3 a^{-3} -19 z^3 a^{-5} +5 z^3 a^{-7} +24 z^2 a^{-2} +2 z^2 a^{-4} -10 z^2 a^{-6} -z^2 a^{-8} +13 z^2+6 a z+16 z a^{-1} +16 z a^{-3} +4 z a^{-5} -z a^{-7} +z a^{-9} -7 a^{-2} -2 a^{-4} + a^{-6} -3 }[/math] |
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