K13n2694
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Polynomial invariants
| Jones polynomial | Data:K13n2694/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+34 t-43+34 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2694/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+6 z^4 a^{-2} -3 z^4 a^{-4} +z^4-a^2 z^2+8 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +4 z^{10} a^{-4} +6 z^{10}+7 a z^9+6 z^9 a^{-1} +2 z^9 a^{-3} +3 z^9 a^{-5} +4 a^2 z^8-29 z^8 a^{-2} -9 z^8 a^{-4} +z^8 a^{-6} -15 z^8+a^3 z^7-23 a z^7-31 z^7 a^{-1} -11 z^7 a^{-3} -4 z^7 a^{-5} -13 a^2 z^6+35 z^6 a^{-2} +18 z^6 a^{-4} +3 z^6 a^{-6} +7 z^6-3 a^3 z^5+21 a z^5+30 z^5 a^{-1} +12 z^5 a^{-3} +10 z^5 a^{-5} +4 z^5 a^{-7} +11 a^2 z^4-32 z^4 a^{-2} -19 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} -4 z^4+2 a^3 z^3-7 a z^3-13 z^3 a^{-1} -7 z^3 a^{-3} -7 z^3 a^{-5} -4 z^3 a^{-7} -2 a^2 z^2+17 z^2 a^{-2} +13 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +4 z^2+a z+2 z a^{-1} +3 z a^{-3} +3 z a^{-5} +z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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