K13a949
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Polynomial invariants
| Jones polynomial | Data:K13a949/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-15 t^3+51 t^2-99 t+123-99 t^{-1} +51 t^{-2} -15 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a949/Conway Polynomial |
| Determinant | 457 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+3 a^2 z^6-2 z^6 a^{-2} +z^6-2 a^4 z^4+6 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -2 z^4-2 a^4 z^2+6 a^2 z^2+2 z^2 a^{-2} -4 z^2-a^4+2 a^2+2 a^{-2} - a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^2 z^{12}+4 z^{12}+13 a^3 z^{11}+29 a z^{11}+16 z^{11} a^{-1} +17 a^4 z^{10}+39 a^2 z^{10}+27 z^{10} a^{-2} +49 z^{10}+12 a^5 z^9-3 a^3 z^9-28 a z^9+13 z^9 a^{-1} +26 z^9 a^{-3} +5 a^6 z^8-36 a^4 z^8-119 a^2 z^8-36 z^8 a^{-2} +16 z^8 a^{-4} -130 z^8+a^7 z^7-28 a^5 z^7-50 a^3 z^7-57 a z^7-83 z^7 a^{-1} -41 z^7 a^{-3} +6 z^7 a^{-5} -11 a^6 z^6+26 a^4 z^6+118 a^2 z^6+7 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +110 z^6-2 a^7 z^5+23 a^5 z^5+65 a^3 z^5+89 a z^5+74 z^5 a^{-1} +20 z^5 a^{-3} -5 z^5 a^{-5} +7 a^6 z^4-12 a^4 z^4-54 a^2 z^4-2 z^4 a^{-2} +6 z^4 a^{-4} -43 z^4+a^7 z^3-10 a^5 z^3-31 a^3 z^3-35 a z^3-21 z^3 a^{-1} -6 z^3 a^{-3} -a^6 z^2+4 a^4 z^2+14 a^2 z^2+5 z^2 a^{-2} +z^2 a^{-4} +13 z^2+2 a^5 z+4 a^3 z+3 a z+z a^{-1} +z a^{-3} +z a^{-5} -a^4-2 a^2-2 a^{-2} - a^{-4} -1 }[/math] |
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