K13a3560
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Polynomial invariants
| Jones polynomial | Data:K13a3560/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+39 t^2-75 t+95-75 t^{-1} +39 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3560/Conway Polynomial |
| Determinant | 353 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-2 a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +2 z^6+a^4 z^4-5 a^2 z^4+9 z^4 a^{-2} -3 z^4 a^{-4} -z^4+2 a^4 z^2-5 a^2 z^2+10 z^2 a^{-2} -4 z^2 a^{-4} -7 z^2+2 a^4-a^2+5 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12}+10 a z^{11}+20 z^{11} a^{-1} +10 z^{11} a^{-3} +15 a^2 z^{10}+23 z^{10} a^{-2} +13 z^{10} a^{-4} +25 z^{10}+15 a^3 z^9-38 z^9 a^{-1} -14 z^9 a^{-3} +9 z^9 a^{-5} +10 a^4 z^8-19 a^2 z^8-88 z^8 a^{-2} -37 z^8 a^{-4} +4 z^8 a^{-6} -76 z^8+4 a^5 z^7-27 a^3 z^7-25 a z^7+24 z^7 a^{-1} -8 z^7 a^{-3} -25 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-19 a^4 z^6+128 z^6 a^{-2} +44 z^6 a^{-4} -11 z^6 a^{-6} +93 z^6-6 a^5 z^5+21 a^3 z^5+19 a z^5-13 z^5 a^{-1} +21 z^5 a^{-3} +23 z^5 a^{-5} -3 z^5 a^{-7} -2 a^6 z^4+17 a^4 z^4+12 a^2 z^4-103 z^4 a^{-2} -33 z^4 a^{-4} +8 z^4 a^{-6} -69 z^4+2 a^5 z^3-10 a^3 z^3+a z^3+15 z^3 a^{-1} -10 z^3 a^{-3} -10 z^3 a^{-5} +2 z^3 a^{-7} +a^6 z^2-10 a^4 z^2-8 a^2 z^2+42 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} +31 z^2+2 a^3 z-3 a z-7 z a^{-1} -z a^{-3} +z a^{-5} +2 a^4+a^2-5 a^{-2} - a^{-4} -4 }[/math] |
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