K14a3146
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Polynomial invariants
| Jones polynomial | Data:K14a3146/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-21 t^3+64 t^2-108 t+125-108 t^{-1} +64 t^{-2} -21 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K14a3146/Conway Polynomial |
| Determinant | Data:K14a3146/Determinant |
| Signature | Data:K14a3146/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+4 z^4 a^{10}+10 z^2 a^{10}+5 a^{10}-5 z^6 a^8-16 z^4 a^8-16 z^2 a^8-7 a^8+2 z^8 a^6+7 z^6 a^6+11 z^4 a^6+12 z^2 a^6+5 a^6+z^8 a^4+2 z^6 a^4+z^4 a^4+2 z^2 a^4-z^6 a^2-2 z^4 a^2 }[/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}-21 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+18 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+3 z \text{QuantumGroups$\grave{ }$a}^{13}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-26 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+19 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-10 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-19 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+29 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-15 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+7 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-59 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+69 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-49 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+23 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-5 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+26 z^{11} \text{QuantumGroups$\grave{ }$a}^9-62 z^9 \text{QuantumGroups$\grave{ }$a}^9+60 z^7 \text{QuantumGroups$\grave{ }$a}^9-42 z^5 \text{QuantumGroups$\grave{ }$a}^9+20 z^3 \text{QuantumGroups$\grave{ }$a}^9-3 z \text{QuantumGroups$\grave{ }$a}^9+16 z^{12} \text{QuantumGroups$\grave{ }$a}^8-8 z^{10} \text{QuantumGroups$\grave{ }$a}^8-45 z^8 \text{QuantumGroups$\grave{ }$a}^8+86 z^6 \text{QuantumGroups$\grave{ }$a}^8-81 z^4 \text{QuantumGroups$\grave{ }$a}^8+41 z^2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+31 z^{11} \text{QuantumGroups$\grave{ }$a}^7-89 z^9 \text{QuantumGroups$\grave{ }$a}^7+109 z^7 \text{QuantumGroups$\grave{ }$a}^7-75 z^5 \text{QuantumGroups$\grave{ }$a}^7+25 z^3 \text{QuantumGroups$\grave{ }$a}^7-2 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6+9 z^{10} \text{QuantumGroups$\grave{ }$a}^6-68 z^8 \text{QuantumGroups$\grave{ }$a}^6+101 z^6 \text{QuantumGroups$\grave{ }$a}^6-72 z^4 \text{QuantumGroups$\grave{ }$a}^6+27 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+17 z^{11} \text{QuantumGroups$\grave{ }$a}^5-34 z^9 \text{QuantumGroups$\grave{ }$a}^5+20 z^7 \text{QuantumGroups$\grave{ }$a}^5-2 z^3 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+18 z^{10} \text{QuantumGroups$\grave{ }$a}^4-47 z^8 \text{QuantumGroups$\grave{ }$a}^4+43 z^6 \text{QuantumGroups$\grave{ }$a}^4-15 z^4 \text{QuantumGroups$\grave{ }$a}^4+z^2 \text{QuantumGroups$\grave{ }$a}^4+12 z^9 \text{QuantumGroups$\grave{ }$a}^3-31 z^7 \text{QuantumGroups$\grave{ }$a}^3+23 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-12 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a} }[/math] |
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