K13n2883
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Polynomial invariants
| Jones polynomial | Data:K13n2883/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+22 t^2-31 t+35-31 t^{-1} +22 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2883/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +4 z^6-4 a^2 z^4+5 z^4 a^{-2} -3 z^4 a^{-4} +4 z^4+a^4 z^2-4 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +a^4-a^2+3 a^{-2} - a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+6 a z^9+7 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} +4 a^2 z^8-28 z^8 a^{-2} -14 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8+a^3 z^7-11 a z^7-25 z^7 a^{-1} -37 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} -4 a^2 z^6+28 z^6 a^{-2} +5 z^6 a^{-4} -13 z^6 a^{-6} +6 z^6+5 a^3 z^5+20 a z^5+30 z^5 a^{-1} +40 z^5 a^{-3} +22 z^5 a^{-5} -3 z^5 a^{-7} +3 a^4 z^4+9 a^2 z^4-23 z^4 a^{-2} -z^4 a^{-4} +11 z^4 a^{-6} -5 z^4-7 a^3 z^3-17 a z^3-21 z^3 a^{-1} -21 z^3 a^{-3} -8 z^3 a^{-5} +2 z^3 a^{-7} -4 a^4 z^2-7 a^2 z^2+11 z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} +3 z^2+3 a^3 z+6 a z+6 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^4+a^2-3 a^{-2} - a^{-4} -1 }[/math] |
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