K13n4015
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Polynomial invariants
| Jones polynomial | Data:K13n4015/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-22 t+31-22 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4015/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-3 z^4 a^4-4 z^2 a^4-a^4+3 z^4 a^2+5 z^2 a^2+2 a^2+z^4-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+4 a^7 z^9-2 a^5 z^9-5 a^3 z^9+a z^9+a^8 z^8-23 a^6 z^8-35 a^4 z^8-11 a^2 z^8-19 a^7 z^7-20 a^5 z^7+3 a^3 z^7+4 a z^7-4 a^8 z^6+28 a^6 z^6+46 a^4 z^6+22 a^2 z^6+8 z^6+25 a^7 z^5+32 a^5 z^5-10 a^3 z^5-12 a z^5+5 z^5 a^{-1} +4 a^8 z^4-7 a^6 z^4-27 a^4 z^4-32 a^2 z^4+3 z^4 a^{-2} -13 z^4-8 a^7 z^3-7 a^5 z^3+10 a^3 z^3+5 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -a^8 z^2-a^6 z^2+9 a^4 z^2+15 a^2 z^2-z^2 a^{-2} +5 z^2-a^7 z-2 a^5 z-2 a^3 z-a z-a^4-2 a^2 }[/math] |
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