K13n4095
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Polynomial invariants
| Jones polynomial | Data:K13n4095/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+25 t-27+25 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4095/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -5 z^6+3 a^2 z^4+7 z^4 a^{-2} -z^4 a^{-4} -9 z^4+2 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} -7 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9+a z^9+z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -30 z^8-18 a^3 z^7-26 a z^7-12 z^7 a^{-1} -3 z^7 a^{-3} +z^7 a^{-5} -4 a^4 z^6+20 a^2 z^6-z^6 a^{-4} +25 z^6+24 a^3 z^5+33 a z^5-z^5 a^{-1} -6 z^5 a^{-3} +4 z^5 a^{-5} +5 a^4 z^4-8 z^4 a^{-2} +4 z^4 a^{-6} -9 z^4-8 a^3 z^3-7 a z^3+6 z^3 a^{-1} +3 z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2-2 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-6} +4 z^2-a z-z a^{-1} -a^2- a^{-2} -1 }[/math] |
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