K13a4654
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Polynomial invariants
| Jones polynomial | Data:K13a4654/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-33 t^2+75 t-95+75 t^{-1} -33 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4654/Conway Polynomial |
| Determinant | 323 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-2 a^6+2 z^6 a^4+3 z^4 a^4+3 z^2 a^4+2 a^4+3 z^6 a^2+5 z^4 a^2+z^2 a^2-a^2+z^6-z^4-3 z^2-z^4 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^4 z^{12}+4 a^2 z^{12}+10 a^5 z^{11}+22 a^3 z^{11}+12 a z^{11}+12 a^6 z^{10}+12 a^4 z^{10}+15 a^2 z^{10}+15 z^{10}+11 a^7 z^9-15 a^5 z^9-65 a^3 z^9-28 a z^9+11 z^9 a^{-1} +8 a^8 z^8-19 a^6 z^8-57 a^4 z^8-80 a^2 z^8+5 z^8 a^{-2} -45 z^8+4 a^9 z^7-18 a^7 z^7+4 a^5 z^7+73 a^3 z^7+15 a z^7-31 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-15 a^8 z^6+3 a^6 z^6+79 a^4 z^6+117 a^2 z^6-13 z^6 a^{-2} +44 z^6-8 a^9 z^5+5 a^7 z^5+8 a^5 z^5-27 a^3 z^5+a z^5+21 z^5 a^{-1} -2 z^5 a^{-3} -2 a^{10} z^4+8 a^8 z^4+13 a^6 z^4-35 a^4 z^4-68 a^2 z^4+6 z^4 a^{-2} -24 z^4+4 a^9 z^3+2 a^7 z^3+2 a^3 z^3-3 a z^3-3 z^3 a^{-1} +a^{10} z^2-4 a^8 z^2-8 a^6 z^2+a^4 z^2+10 a^2 z^2+z^2 a^{-2} +7 z^2-a^9 z-a^7 z-2 a^5 z-2 a^3 z+a^8+2 a^6+2 a^4+a^2- a^{-2} }[/math] |
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