K13a4204
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Polynomial invariants
| Jones polynomial | Data:K13a4204/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-24 t^2+64 t-87+64 t^{-1} -24 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4204/Conway Polynomial |
| Determinant | 271 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+2 z^4 a^6+5 z^2 a^6+2 a^6+2 z^6 a^4+3 z^4 a^4+4 z^2 a^4+2 a^4+z^6 a^2-2 z^4 a^2-4 z^2 a^2-2 a^2-2 z^4+1+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^6 z^{12}+2 a^4 z^{12}+6 a^7 z^{11}+12 a^5 z^{11}+6 a^3 z^{11}+8 a^8 z^{10}+10 a^6 z^{10}+12 a^4 z^{10}+10 a^2 z^{10}+6 a^9 z^9-12 a^7 z^9-27 a^5 z^9+2 a^3 z^9+11 a z^9+3 a^{10} z^8-28 a^8 z^8-42 a^6 z^8-32 a^4 z^8-13 a^2 z^8+8 z^8+a^{11} z^7-21 a^9 z^7+4 a^7 z^7+28 a^5 z^7-23 a^3 z^7-21 a z^7+4 z^7 a^{-1} -10 a^{10} z^6+45 a^8 z^6+64 a^6 z^6+24 a^4 z^6-a^2 z^6+z^6 a^{-2} -15 z^6-4 a^{11} z^5+28 a^9 z^5+15 a^7 z^5-18 a^5 z^5+23 a^3 z^5+16 a z^5-8 z^5 a^{-1} +8 a^{10} z^4-41 a^8 z^4-47 a^6 z^4+3 a^4 z^4+11 a^2 z^4-2 z^4 a^{-2} +8 z^4+4 a^{11} z^3-21 a^9 z^3-24 a^7 z^3+12 a^5 z^3-2 a^3 z^3-9 a z^3+4 z^3 a^{-1} +13 a^8 z^2+15 a^6 z^2-4 a^4 z^2-10 a^2 z^2+z^2 a^{-2} -3 z^2+6 a^9 z+6 a^7 z-2 a^5 z-2 a^3 z-2 a^8-2 a^6+2 a^4+2 a^2+1 }[/math] |
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