K14a5927
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Polynomial invariants
| Jones polynomial | Data:K14a5927/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-22 t^3+66 t^2-115 t+137-115 t^{-1} +66 t^{-2} -22 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K14a5927/Conway Polynomial |
| Determinant | Data:K14a5927/Determinant |
| Signature | Data:K14a5927/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+4 z^4 a^6+8 z^2 a^6+3 a^6-5 z^6 a^4-14 z^4 a^4-10 z^2 a^4-2 a^4+2 z^8 a^2+6 z^6 a^2+5 z^4 a^2-a^2+z^8+2 z^6+z^4+2 z^2+2-z^6 a^{-2} -2 z^4 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+10 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+28 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+23 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+49 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+36 \text{QuantumGroups$\grave{ }$a} z^{11}+5 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-20 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-62 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+44 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-37 \text{QuantumGroups$\grave{ }$a}^7 z^9-128 \text{QuantumGroups$\grave{ }$a}^5 z^9-197 \text{QuantumGroups$\grave{ }$a}^3 z^9-69 \text{QuantumGroups$\grave{ }$a} z^9+38 z^9 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^8 z^8-31 \text{QuantumGroups$\grave{ }$a}^6 z^8-42 \text{QuantumGroups$\grave{ }$a}^4 z^8-154 \text{QuantumGroups$\grave{ }$a}^2 z^8+25 z^8 $Failed^{-1} -97 z^8-4 \text{QuantumGroups$\grave{ }$a}^9 z^7+41 \text{QuantumGroups$\grave{ }$a}^7 z^7+171 \text{QuantumGroups$\grave{ }$a}^5 z^7+212 \text{QuantumGroups$\grave{ }$a}^3 z^7+4 \text{QuantumGroups$\grave{ }$a} z^7-69 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +32 \text{QuantumGroups$\grave{ }$a}^8 z^6+95 \text{QuantumGroups$\grave{ }$a}^6 z^6+166 \text{QuantumGroups$\grave{ }$a}^4 z^6+207 \text{QuantumGroups$\grave{ }$a}^2 z^6-30 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +69 z^6+6 \text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5-82 \text{QuantumGroups$\grave{ }$a}^5 z^5-75 \text{QuantumGroups$\grave{ }$a}^3 z^5+42 \text{QuantumGroups$\grave{ }$a} z^5+41 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^8 z^4-76 \text{QuantumGroups$\grave{ }$a}^6 z^4-123 \text{QuantumGroups$\grave{ }$a}^4 z^4-96 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -18 z^4-4 \text{QuantumGroups$\grave{ }$a}^9 z^3-5 \text{QuantumGroups$\grave{ }$a}^7 z^3+12 \text{QuantumGroups$\grave{ }$a}^5 z^3+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^8 z^2+27 \text{QuantumGroups$\grave{ }$a}^6 z^2+33 \text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -z^2+\text{QuantumGroups$\grave{ }$a}^9 z+2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+2 }[/math] |
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