K13n3736
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Polynomial invariants
| Jones polynomial | Data:K13n3736/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+28 t-33+28 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3736/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^6 a^{-6} +2 z^4 a^{-2} +z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} -z^4+z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} -3 z^2 a^{-8} -z^2+ a^{-6} -2 a^{-8} + a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +8 z^{10} a^{-6} +3 z^{10} a^{-8} +6 z^9 a^{-3} -z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} +6 z^8 a^{-2} -14 z^8 a^{-4} -33 z^8 a^{-6} -13 z^8 a^{-8} +6 z^7 a^{-1} -11 z^7 a^{-3} -8 z^7 a^{-5} +10 z^7 a^{-7} +z^7 a^{-9} -6 z^6 a^{-2} +21 z^6 a^{-4} +54 z^6 a^{-6} +26 z^6 a^{-8} +3 z^6 a^{-10} +4 z^6+a z^5-9 z^5 a^{-1} +9 z^5 a^{-3} +13 z^5 a^{-5} -20 z^5 a^{-7} -14 z^5 a^{-9} -4 z^4 a^{-2} -12 z^4 a^{-4} -38 z^4 a^{-6} -34 z^4 a^{-8} -11 z^4 a^{-10} -7 z^4-a z^3+z^3 a^{-1} -3 z^3 a^{-3} +3 z^3 a^{-5} +23 z^3 a^{-7} +15 z^3 a^{-9} +2 z^2 a^{-2} +3 z^2 a^{-4} +12 z^2 a^{-6} +17 z^2 a^{-8} +8 z^2 a^{-10} +2 z^2-4 z a^{-5} -9 z a^{-7} -5 z a^{-9} - a^{-6} -2 a^{-8} - a^{-10} +1 }[/math] |
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