K13n3046
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Polynomial invariants
| Jones polynomial | Data:K13n3046/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-19 t^2+46 t-59+46 t^{-1} -19 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3046/Conway Polynomial |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -4 z^4 a^{-4} +z^4-a^2 z^2-z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +16 z^{10} a^{-2} +9 z^{10} a^{-4} +7 z^{10}+7 a z^9+9 z^9 a^{-1} +12 z^9 a^{-3} +10 z^9 a^{-5} +4 a^2 z^8-39 z^8 a^{-2} -17 z^8 a^{-4} +5 z^8 a^{-6} -13 z^8+a^3 z^7-20 a z^7-46 z^7 a^{-1} -47 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} -13 a^2 z^6+23 z^6 a^{-2} +16 z^6 a^{-4} -z^6 a^{-6} -7 z^6-3 a^3 z^5+16 a z^5+50 z^5 a^{-1} +50 z^5 a^{-3} +26 z^5 a^{-5} +7 z^5 a^{-7} +13 a^2 z^4+6 z^4 a^{-2} -7 z^4 a^{-4} -z^4 a^{-6} +3 z^4 a^{-8} +22 z^4+2 a^3 z^3-6 a z^3-25 z^3 a^{-1} -19 z^3 a^{-3} -10 z^3 a^{-5} -8 z^3 a^{-7} -5 a^2 z^2-13 z^2 a^{-2} +3 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} -16 z^2+2 a z+5 z a^{-1} +2 z a^{-3} +z a^{-7} +3 a^{-2} - a^{-6} +3 }[/math] |
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