K13n4070
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Polynomial invariants
| Jones polynomial | Data:K13n4070/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+26 t-33+26 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4070/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -3 z^4+2 a^2 z^2+3 z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} -7 z^2+2 a^2+3 a^{-2} + a^{-4} - a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10}+a z^9-7 z^9 a^{-1} -2 z^9 a^{-3} +6 z^9 a^{-5} -38 z^8 a^{-2} -18 z^8 a^{-4} +6 z^8 a^{-6} -14 z^8+a z^7+12 z^7 a^{-1} -12 z^7 a^{-3} -18 z^7 a^{-5} +5 z^7 a^{-7} +3 a^2 z^6+74 z^6 a^{-2} +28 z^6 a^{-4} -15 z^6 a^{-6} +3 z^6 a^{-8} +31 z^6-14 a z^5-15 z^5 a^{-1} +34 z^5 a^{-3} +23 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -11 a^2 z^4-65 z^4 a^{-2} -12 z^4 a^{-4} +14 z^4 a^{-6} -6 z^4 a^{-8} -44 z^4+14 a z^3+7 z^3 a^{-1} -23 z^3 a^{-3} -8 z^3 a^{-5} +6 z^3 a^{-7} -2 z^3 a^{-9} +9 a^2 z^2+22 z^2 a^{-2} -4 z^2 a^{-6} +z^2 a^{-8} +26 z^2-2 a z-z a^{-1} +3 z a^{-3} +z a^{-5} -z a^{-7} -2 a^2-3 a^{-2} + a^{-4} + a^{-6} -4 }[/math] |
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