K13n4151
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Polynomial invariants
| Jones polynomial | Data:K13n4151/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+13 t^3-22 t^2+28 t-29+28 t^{-1} -22 t^{-2} +13 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4151/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -z^8 a^{-4} -z^8+19 z^6 a^{-2} -6 z^6 a^{-4} -5 z^6+27 z^4 a^{-2} -13 z^4 a^{-4} +z^4 a^{-6} -9 z^4+21 z^2 a^{-2} -13 z^2 a^{-4} +2 z^2 a^{-6} -8 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +15 z^{10} a^{-2} +8 z^{10} a^{-4} +7 z^{10}+7 a z^9+5 z^9 a^{-1} +5 z^9 a^{-3} +7 z^9 a^{-5} +4 a^2 z^8-50 z^8 a^{-2} -28 z^8 a^{-4} +2 z^8 a^{-6} -16 z^8+a^3 z^7-19 a z^7-37 z^7 a^{-1} -41 z^7 a^{-3} -24 z^7 a^{-5} -12 a^2 z^6+65 z^6 a^{-2} +50 z^6 a^{-4} +z^6 a^{-6} +4 z^6-3 a^3 z^5+10 a z^5+42 z^5 a^{-1} +72 z^5 a^{-3} +48 z^5 a^{-5} +5 z^5 a^{-7} +10 a^2 z^4-52 z^4 a^{-2} -39 z^4 a^{-4} +z^4 a^{-8} -4 z^4+3 a^3 z^3-a z^3-23 z^3 a^{-1} -49 z^3 a^{-3} -36 z^3 a^{-5} -6 z^3 a^{-7} -3 a^2 z^2+28 z^2 a^{-2} +18 z^2 a^{-4} -z^2 a^{-8} +8 z^2-a^3 z+6 z a^{-1} +12 z a^{-3} +9 z a^{-5} +2 z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
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