K13n4231
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Polynomial invariants
| Jones polynomial | Data:K13n4231/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-13 t^2+16 t-17+16 t^{-1} -13 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4231/Conway Polynomial |
| Determinant | 103 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+25 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+40 z^4 a^{-2} -17 z^4 a^{-4} +z^4 a^{-6} -13 z^4+34 z^2 a^{-2} -17 z^2 a^{-4} +2 z^2 a^{-6} -13 z^2+12 a^{-2} -6 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10}+4 a z^9-2 z^9 a^{-1} -3 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-44 z^8 a^{-2} -28 z^8 a^{-4} -13 z^8+a^3 z^7-12 a z^7-13 z^7 a^{-1} -14 z^7 a^{-3} -14 z^7 a^{-5} -11 a^2 z^6+88 z^6 a^{-2} +66 z^6 a^{-4} +3 z^6 a^{-6} +14 z^6-4 a^3 z^5+5 a z^5+28 z^5 a^{-1} +47 z^5 a^{-3} +28 z^5 a^{-5} +10 a^2 z^4-91 z^4 a^{-2} -67 z^4 a^{-4} -5 z^4 a^{-6} -19 z^4+5 a^3 z^3+a z^3-29 z^3 a^{-1} -43 z^3 a^{-3} -15 z^3 a^{-5} +3 z^3 a^{-7} -2 a^2 z^2+48 z^2 a^{-2} +34 z^2 a^{-4} +4 z^2 a^{-6} +16 z^2-2 a^3 z+a z+11 z a^{-1} +13 z a^{-3} +z a^{-5} -4 z a^{-7} -12 a^{-2} -6 a^{-4} -5 }[/math] |
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