K14n12603
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Polynomial invariants
| Jones polynomial | Data:K14n12603/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+13 t^3-39 t^2+74 t-91+74 t^{-1} -39 t^{-2} +13 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K14n12603/Conway Polynomial |
| Determinant | Data:K14n12603/Determinant |
| Signature | Data:K14n12603/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-4 z^4 a^8-9 z^2 a^8-6 a^8+5 z^6 a^6+18 z^4 a^6+23 z^2 a^6+10 a^6-2 z^8 a^4-10 z^6 a^4-21 z^4 a^4-19 z^2 a^4-7 a^4+2 z^6 a^2+6 z^4 a^2+7 z^2 a^2+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-z^2 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-17 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+20 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+10 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-31 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+28 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-8 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+10 z^{11} \text{QuantumGroups$\grave{ }$a}^9-17 z^9 \text{QuantumGroups$\grave{ }$a}^9-24 z^7 \text{QuantumGroups$\grave{ }$a}^9+54 z^5 \text{QuantumGroups$\grave{ }$a}^9-31 z^3 \text{QuantumGroups$\grave{ }$a}^9+7 z \text{QuantumGroups$\grave{ }$a}^9+4 z^{12} \text{QuantumGroups$\grave{ }$a}^8+20 z^{10} \text{QuantumGroups$\grave{ }$a}^8-99 z^8 \text{QuantumGroups$\grave{ }$a}^8+117 z^6 \text{QuantumGroups$\grave{ }$a}^8-65 z^4 \text{QuantumGroups$\grave{ }$a}^8+27 z^2 \text{QuantumGroups$\grave{ }$a}^8-6 \text{QuantumGroups$\grave{ }$a}^8+25 z^{11} \text{QuantumGroups$\grave{ }$a}^7-57 z^9 \text{QuantumGroups$\grave{ }$a}^7+5 z^7 \text{QuantumGroups$\grave{ }$a}^7+44 z^5 \text{QuantumGroups$\grave{ }$a}^7-31 z^3 \text{QuantumGroups$\grave{ }$a}^7+8 z \text{QuantumGroups$\grave{ }$a}^7+4 z^{12} \text{QuantumGroups$\grave{ }$a}^6+31 z^{10} \text{QuantumGroups$\grave{ }$a}^6-125 z^8 \text{QuantumGroups$\grave{ }$a}^6+154 z^6 \text{QuantumGroups$\grave{ }$a}^6-109 z^4 \text{QuantumGroups$\grave{ }$a}^6+49 z^2 \text{QuantumGroups$\grave{ }$a}^6-10 \text{QuantumGroups$\grave{ }$a}^6+15 z^{11} \text{QuantumGroups$\grave{ }$a}^5-21 z^9 \text{QuantumGroups$\grave{ }$a}^5-7 z^7 \text{QuantumGroups$\grave{ }$a}^5+17 z^5 \text{QuantumGroups$\grave{ }$a}^5-11 z^3 \text{QuantumGroups$\grave{ }$a}^5+3 z \text{QuantumGroups$\grave{ }$a}^5+21 z^{10} \text{QuantumGroups$\grave{ }$a}^4-53 z^8 \text{QuantumGroups$\grave{ }$a}^4+78 z^6 \text{QuantumGroups$\grave{ }$a}^4-74 z^4 \text{QuantumGroups$\grave{ }$a}^4+36 z^2 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^4+14 z^9 \text{QuantumGroups$\grave{ }$a}^3-18 z^7 \text{QuantumGroups$\grave{ }$a}^3+16 z^5 \text{QuantumGroups$\grave{ }$a}^3-8 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2+10 z^6 \text{QuantumGroups$\grave{ }$a}^2-16 z^4 \text{QuantumGroups$\grave{ }$a}^2+10 z^2 \text{QuantumGroups$\grave{ }$a}^2-3 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}+9 z^5 \text{QuantumGroups$\grave{ }$a}-6 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+3 z^4-z^2 }[/math] |
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