K14n11075
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Polynomial invariants
| Jones polynomial | Data:K14n11075/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-9 t^3+35 t^2-68 t+83-68 t^{-1} +35 t^{-2} -9 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K14n11075/Conway Polynomial |
| Determinant | Data:K14n11075/Determinant |
| Signature | Data:K14n11075/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+3 z^4 a^{10}+4 z^2 a^{10}-3 z^6 a^8-6 z^4 a^8-z^2 a^8+2 a^8+z^8 a^6+3 z^6 a^6+4 z^4 a^6+z^2 a^6-2 a^6-z^6 a^4+4 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-23 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+22 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-13 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+11 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-21 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+7 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}+5 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-46 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+48 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-23 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+4 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+20 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-48 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+21 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^{11} \text{QuantumGroups$\grave{ }$a}^9-9 z^9 \text{QuantumGroups$\grave{ }$a}^9-22 z^7 \text{QuantumGroups$\grave{ }$a}^9+17 z^5 \text{QuantumGroups$\grave{ }$a}^9+2 z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+15 z^{10} \text{QuantumGroups$\grave{ }$a}^8-27 z^8 \text{QuantumGroups$\grave{ }$a}^8+4 z^6 \text{QuantumGroups$\grave{ }$a}^8+18 z^4 \text{QuantumGroups$\grave{ }$a}^8-11 z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+6 z^{11} \text{QuantumGroups$\grave{ }$a}^7-3 z^9 \text{QuantumGroups$\grave{ }$a}^7+9 z^7 \text{QuantumGroups$\grave{ }$a}^7-18 z^5 \text{QuantumGroups$\grave{ }$a}^7+11 z^3 \text{QuantumGroups$\grave{ }$a}^7+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-4 z^8 \text{QuantumGroups$\grave{ }$a}^6+8 z^6 \text{QuantumGroups$\grave{ }$a}^6-3 z^4 \text{QuantumGroups$\grave{ }$a}^6-6 z^2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^6+2 z^9 \text{QuantumGroups$\grave{ }$a}^5+9 z^7 \text{QuantumGroups$\grave{ }$a}^5-11 z^5 \text{QuantumGroups$\grave{ }$a}^5+2 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z^6 \text{QuantumGroups$\grave{ }$a}^4-4 z^4 \text{QuantumGroups$\grave{ }$a}^4-5 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+z^5 \text{QuantumGroups$\grave{ }$a}^3 }[/math] |
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