K13n3704
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Polynomial invariants
| Jones polynomial | Data:K13n3704/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+12 t^3-20 t^2+28 t-31+28 t^{-1} -20 t^{-2} +12 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3704/Conway Polynomial |
| Determinant | 163 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -z^8 a^{-4} -z^8+18 z^6 a^{-2} -6 z^6 a^{-4} -5 z^6+21 z^4 a^{-2} -12 z^4 a^{-4} +z^4 a^{-6} -8 z^4+11 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +14 z^{10} a^{-2} +7 z^{10} a^{-4} +7 z^{10}+7 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +6 z^9 a^{-5} +4 a^2 z^8-46 z^8 a^{-2} -21 z^8 a^{-4} +2 z^8 a^{-6} -19 z^8+a^3 z^7-22 a z^7-30 z^7 a^{-1} -23 z^7 a^{-3} -16 z^7 a^{-5} -13 a^2 z^6+58 z^6 a^{-2} +33 z^6 a^{-4} +z^6 a^{-6} +13 z^6-3 a^3 z^5+19 a z^5+35 z^5 a^{-1} +35 z^5 a^{-3} +27 z^5 a^{-5} +5 z^5 a^{-7} +11 a^2 z^4-39 z^4 a^{-2} -21 z^4 a^{-4} +z^4 a^{-6} +z^4 a^{-8} -7 z^4+2 a^3 z^3-7 a z^3-19 z^3 a^{-1} -19 z^3 a^{-3} -14 z^3 a^{-5} -5 z^3 a^{-7} -2 a^2 z^2+12 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +2 z^2+a z+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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