K14n13178
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Polynomial invariants
| Jones polynomial | Data:K14n13178/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+21 t^2-27 t+29-27 t^{-1} +21 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K14n13178/Conway Polynomial |
| Determinant | Data:K14n13178/Determinant |
| Signature | Data:K14n13178/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +4 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -z^6+4 z^4 a^{-2} +4 z^4 a^{-4} -4 z^4 a^{-6} -3 z^4+z^2 a^{-2} +2 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -z^2+ a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} -43 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -39 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} -12 z^8 $Failed^{-1} +z^8 $Failed^{-1} -22 z^8-5 \text{QuantumGroups$\grave{ }$a} z^7+33 z^7 $Failed^{-1} +54 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +76 z^6 $Failed^{-1} +36 z^6 $Failed^{-1} +40 z^6+8 \text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} -29 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +z^5 $Failed^{-1} -45 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -26 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +8 z^2 $Failed^{-1} +z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +4 z^2-z $Failed^{-1} -2 z $Failed^{-1} -2 z $Failed^{-1} -3 z $Failed^{-1} -2 z $Failed^{-1} + $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +1 }[/math] |
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