K13a4339
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Polynomial invariants
| Jones polynomial | Data:K13a4339/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-23 t^3+48 t^2-72 t+83-72 t^{-1} +48 t^{-2} -23 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a4339/Conway Polynomial |
| Determinant | 385 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -6 z^8+4 a^2 z^6+9 z^6 a^{-2} -z^6 a^{-4} -14 z^6+5 a^2 z^4+13 z^4 a^{-2} -3 z^4 a^{-4} -15 z^4+2 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} -6 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-2} +5 z^{12}+15 a z^{11}+29 z^{11} a^{-1} +14 z^{11} a^{-3} +21 a^2 z^{10}+21 z^{10} a^{-2} +17 z^{10} a^{-4} +25 z^{10}+19 a^3 z^9-18 a z^9-76 z^9 a^{-1} -27 z^9 a^{-3} +12 z^9 a^{-5} +12 a^4 z^8-43 a^2 z^8-100 z^8 a^{-2} -48 z^8 a^{-4} +5 z^8 a^{-6} -102 z^8+5 a^5 z^7-37 a^3 z^7-11 a z^7+67 z^7 a^{-1} +2 z^7 a^{-3} -33 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-20 a^4 z^6+34 a^2 z^6+136 z^6 a^{-2} +45 z^6 a^{-4} -12 z^6 a^{-6} +134 z^6-7 a^5 z^5+23 a^3 z^5+29 a z^5-9 z^5 a^{-1} +19 z^5 a^{-3} +25 z^5 a^{-5} -2 z^5 a^{-7} -a^6 z^4+7 a^4 z^4-13 a^2 z^4-75 z^4 a^{-2} -22 z^4 a^{-4} +5 z^4 a^{-6} -69 z^4+a^5 z^3-6 a^3 z^3-11 a z^3-7 z^3 a^{-1} -10 z^3 a^{-3} -7 z^3 a^{-5} -a^4 z^2+2 a^2 z^2+14 z^2 a^{-2} +5 z^2 a^{-4} +12 z^2+1 }[/math] |
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