K13a2468
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Polynomial invariants
| Jones polynomial | Data:K13a2468/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+6 t^4-16 t^3+30 t^2-43 t+49-43 t^{-1} +30 t^{-2} -16 t^{-3} +6 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a2468/Conway Polynomial |
| Determinant | 241 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -7 z^8-a^4 z^6+12 a^2 z^6+5 z^6 a^{-2} -19 z^6-5 a^4 z^4+26 a^2 z^4+8 z^4 a^{-2} -25 z^4-8 a^4 z^2+24 a^2 z^2+4 z^2 a^{-2} -16 z^2-4 a^4+8 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{12}+2 z^{12}+5 a^3 z^{11}+12 a z^{11}+7 z^{11} a^{-1} +6 a^4 z^{10}+7 a^2 z^{10}+11 z^{10} a^{-2} +12 z^{10}+5 a^5 z^9-10 a^3 z^9-38 a z^9-12 z^9 a^{-1} +11 z^9 a^{-3} +3 a^6 z^8-16 a^4 z^8-42 a^2 z^8-31 z^8 a^{-2} +8 z^8 a^{-4} -62 z^8+a^7 z^7-14 a^5 z^7+4 a^3 z^7+48 a z^7-4 z^7 a^{-1} -29 z^7 a^{-3} +4 z^7 a^{-5} -10 a^6 z^6+16 a^4 z^6+84 a^2 z^6+38 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +116 z^6-4 a^7 z^5+9 a^5 z^5+4 a^3 z^5-11 a z^5+33 z^5 a^{-1} +26 z^5 a^{-3} -9 z^5 a^{-5} +9 a^6 z^4-19 a^4 z^4-84 a^2 z^4-22 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -90 z^4+5 a^7 z^3-2 a^5 z^3-13 a^3 z^3-16 a z^3-22 z^3 a^{-1} -9 z^3 a^{-3} +3 z^3 a^{-5} -2 a^6 z^2+14 a^4 z^2+39 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} +31 z^2-2 a^7 z+a^5 z+7 a^3 z+7 a z+3 z a^{-1} -4 a^4-8 a^2-3 }[/math] |
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