K13n4114
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Polynomial invariants
| Jones polynomial | Data:K13n4114/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+45 t-55+45 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4114/Conway Polynomial |
| Determinant | 207 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +5 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-6} -z^4+5 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +5 z^{10} a^{-2} +16 z^{10} a^{-4} +11 z^{10} a^{-6} +2 z^9 a^{-1} +3 z^9 a^{-3} +17 z^9 a^{-5} +16 z^9 a^{-7} -14 z^8 a^{-2} -40 z^8 a^{-4} -14 z^8 a^{-6} +12 z^8 a^{-8} -z^7 a^{-1} -19 z^7 a^{-3} -58 z^7 a^{-5} -35 z^7 a^{-7} +5 z^7 a^{-9} +34 z^6 a^{-2} +47 z^6 a^{-4} -6 z^6 a^{-6} -23 z^6 a^{-8} +z^6 a^{-10} +5 z^6+a z^5+9 z^5 a^{-1} +41 z^5 a^{-3} +63 z^5 a^{-5} +23 z^5 a^{-7} -7 z^5 a^{-9} -31 z^4 a^{-2} -27 z^4 a^{-4} +7 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -8 z^4-2 a z^3-14 z^3 a^{-1} -31 z^3 a^{-3} -31 z^3 a^{-5} -11 z^3 a^{-7} +z^3 a^{-9} +11 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-8} +3 z^2+a z+4 z a^{-1} +8 z a^{-3} +8 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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