K13n2414
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Polynomial invariants
| Jones polynomial | Data:K13n2414/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+22 t-27+22 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2414/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +2 z^6 a^{-6} -z^4 a^{-2} +2 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} -z^2 a^{-2} -z^2 a^{-4} +16 z^2 a^{-6} -10 z^2 a^{-8} +z^2 a^{-10} + a^{-2} -4 a^{-4} +11 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +5 z^9 a^{-5} +7 z^9 a^{-7} +5 z^9 a^{-9} +3 z^9 a^{-11} +3 z^8 a^{-4} -13 z^8 a^{-6} -29 z^8 a^{-8} -12 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -17 z^7 a^{-5} -44 z^7 a^{-7} -42 z^7 a^{-9} -16 z^7 a^{-11} -4 z^6 a^{-4} +22 z^6 a^{-6} +42 z^6 a^{-8} +11 z^6 a^{-10} -5 z^6 a^{-12} +3 z^5 a^{-3} +29 z^5 a^{-5} +79 z^5 a^{-7} +81 z^5 a^{-9} +28 z^5 a^{-11} +4 z^4 a^{-2} +z^4 a^{-4} -38 z^4 a^{-6} -43 z^4 a^{-8} -z^4 a^{-10} +7 z^4 a^{-12} +z^3 a^{-1} -3 z^3 a^{-3} -28 z^3 a^{-5} -71 z^3 a^{-7} -66 z^3 a^{-9} -19 z^3 a^{-11} -2 z^2 a^{-2} +6 z^2 a^{-4} +35 z^2 a^{-6} +32 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} +2 z a^{-3} +10 z a^{-5} +23 z a^{-7} +19 z a^{-9} +4 z a^{-11} - a^{-2} -4 a^{-4} -11 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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