K13n2500
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Polynomial invariants
| Jones polynomial | Data:K13n2500/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-14 t^2+15 t-13+15 t^{-1} -14 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2500/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-5 z^6 a^{-2} +z^6 a^{-4} -5 z^6+4 a^2 z^4-7 z^4 a^{-2} +5 z^4 a^{-4} -8 z^4+4 a^2 z^2-3 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} -7 z^2+2 a^2+ a^{-2} +2 a^{-4} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-5 a z^9-4 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-15 z^8 a^{-2} +3 z^8 a^{-4} -39 z^8-15 a^3 z^7-6 a z^7-5 z^7 a^{-1} -13 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+32 a^2 z^6+21 z^6 a^{-2} -9 z^6 a^{-4} +67 z^6+22 a^3 z^5+18 a z^5+11 z^5 a^{-1} +15 z^5 a^{-3} +7 a^4 z^4-23 a^2 z^4-18 z^4 a^{-2} +14 z^4 a^{-4} +3 z^4 a^{-6} -59 z^4-10 a^3 z^3-13 a z^3-10 z^3 a^{-1} -6 z^3 a^{-3} +2 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+10 a^2 z^2+7 z^2 a^{-2} -7 z^2 a^{-4} -3 z^2 a^{-6} +23 z^2+2 a^3 z+3 a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -2 a^2- a^{-2} +2 a^{-4} + a^{-6} -3 }[/math] |
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