K13a1373
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Polynomial invariants
| Jones polynomial | Data:K13a1373/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+27 t^2-68 t+91-68 t^{-1} +27 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1373/Conway Polynomial |
| Determinant | 289 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+2 z^2 a^4+a^4-z^6 a^2+z^4 a^2+z^2 a^2-a^2-2 z^6-z^4+3 z^2+4-z^6 a^{-2} -z^2 a^{-2} -2 a^{-2} +z^4 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{12}+2 z^{12}+5 a^3 z^{11}+13 a z^{11}+8 z^{11} a^{-1} +6 a^4 z^{10}+10 a^2 z^{10}+14 z^{10} a^{-2} +18 z^{10}+5 a^5 z^9-5 a^3 z^9-28 a z^9-3 z^9 a^{-1} +15 z^9 a^{-3} +3 a^6 z^8-12 a^4 z^8-36 a^2 z^8-25 z^8 a^{-2} +11 z^8 a^{-4} -57 z^8+a^7 z^7-13 a^5 z^7-7 a^3 z^7+25 a z^7-15 z^7 a^{-1} -28 z^7 a^{-3} +5 z^7 a^{-5} -10 a^6 z^6+3 a^4 z^6+45 a^2 z^6+15 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +68 z^6-4 a^7 z^5+8 a^5 z^5+13 a^3 z^5-7 a z^5+11 z^5 a^{-1} +11 z^5 a^{-3} -8 z^5 a^{-5} +10 a^6 z^4+4 a^4 z^4-22 a^2 z^4-5 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-6} -29 z^4+5 a^7 z^3-a^5 z^3-11 a^3 z^3+a z^3+7 z^3 a^{-1} +3 z^3 a^{-3} +2 z^3 a^{-5} -4 a^6 z^2-4 a^4 z^2-z^2 a^{-2} -z^2-2 a^7 z+3 a^3 z-a z-5 z a^{-1} -3 z a^{-3} +a^6+a^4+a^2+2 a^{-2} +4 }[/math] |
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