K13a3946
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Polynomial invariants
| Jones polynomial | Data:K13a3946/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-14 t^3+46 t^2-89 t+111-89 t^{-1} +46 t^{-2} -14 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3946/Conway Polynomial |
| Determinant | 413 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+2 z^6 a^{-2} -2 z^6 a^{-4} +3 z^6-2 a^2 z^4+2 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +5 z^4-2 a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +3 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-2} +4 z^{12} a^{-4} +17 z^{11} a^{-1} +27 z^{11} a^{-3} +10 z^{11} a^{-5} +46 z^{10} a^{-2} +24 z^{10} a^{-4} +10 z^{10} a^{-6} +32 z^{10}+36 a z^9+12 z^9 a^{-1} -44 z^9 a^{-3} -15 z^9 a^{-5} +5 z^9 a^{-7} +27 a^2 z^8-144 z^8 a^{-2} -104 z^8 a^{-4} -31 z^8 a^{-6} +z^8 a^{-8} -45 z^8+14 a^3 z^7-61 a z^7-110 z^7 a^{-1} -45 z^7 a^{-3} -27 z^7 a^{-5} -17 z^7 a^{-7} +5 a^4 z^6-36 a^2 z^6+118 z^6 a^{-2} +113 z^6 a^{-4} +30 z^6 a^{-6} -3 z^6 a^{-8} -3 z^6+a^5 z^5-10 a^3 z^5+38 a z^5+113 z^5 a^{-1} +104 z^5 a^{-3} +60 z^5 a^{-5} +20 z^5 a^{-7} -a^4 z^4+20 a^2 z^4-34 z^4 a^{-2} -44 z^4 a^{-4} -9 z^4 a^{-6} +3 z^4 a^{-8} +19 z^4+3 a^3 z^3-13 a z^3-46 z^3 a^{-1} -55 z^3 a^{-3} -34 z^3 a^{-5} -9 z^3 a^{-7} -5 a^2 z^2+6 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-8} -6 z^2+2 a z+7 z a^{-1} +10 z a^{-3} +6 z a^{-5} +z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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