K14a7343
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Polynomial invariants
| Jones polynomial | Data:K14a7343/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-8 t^4+29 t^3-63 t^2+94 t-105+94 t^{-1} -63 t^{-2} +29 t^{-3} -8 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a7343/Conway Polynomial |
| Determinant | Data:K14a7343/Determinant |
| Signature | Data:K14a7343/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-2 a^4 z^8+6 a^2 z^8-2 z^8+a^6 z^6-10 a^4 z^6+16 a^2 z^6+z^6 a^{-2} -8 z^6+4 a^6 z^4-18 a^4 z^4+23 a^2 z^4+2 z^4 a^{-2} -10 z^4+4 a^6 z^2-14 a^4 z^2+15 a^2 z^2-5 z^2+a^6-3 a^4+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+32 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+34 \text{QuantumGroups$\grave{ }$a} z^{11}+16 z^{11} $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10} $Failed^{-1} +9 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^7 z^9-17 \text{QuantumGroups$\grave{ }$a}^5 z^9-98 \text{QuantumGroups$\grave{ }$a}^3 z^9-114 \text{QuantumGroups$\grave{ }$a} z^9-39 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^8-24 \text{QuantumGroups$\grave{ }$a}^6 z^8-82 \text{QuantumGroups$\grave{ }$a}^4 z^8-110 \text{QuantumGroups$\grave{ }$a}^2 z^8-44 z^8 $Failed^{-1} +z^8 $Failed^{-1} -105 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-17 \text{QuantumGroups$\grave{ }$a}^7 z^7+92 \text{QuantumGroups$\grave{ }$a}^3 z^7+95 \text{QuantumGroups$\grave{ }$a} z^7+7 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-13 \text{QuantumGroups$\grave{ }$a}^8 z^6+18 \text{QuantumGroups$\grave{ }$a}^6 z^6+120 \text{QuantumGroups$\grave{ }$a}^4 z^6+187 \text{QuantumGroups$\grave{ }$a}^2 z^6+40 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +141 z^6-8 \text{QuantumGroups$\grave{ }$a}^9 z^5+5 \text{QuantumGroups$\grave{ }$a}^7 z^5+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-24 \text{QuantumGroups$\grave{ }$a}^3 z^5-11 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+6 \text{QuantumGroups$\grave{ }$a}^8 z^4-9 \text{QuantumGroups$\grave{ }$a}^6 z^4-77 \text{QuantumGroups$\grave{ }$a}^4 z^4-117 \text{QuantumGroups$\grave{ }$a}^2 z^4-12 z^4 $Failed^{-1} +z^4 $Failed^{-1} -70 z^4+5 \text{QuantumGroups$\grave{ }$a}^9 z^3+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-3 \text{QuantumGroups$\grave{ }$a}^5 z^3-2 \text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3-12 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2-\text{QuantumGroups$\grave{ }$a}^8 z^2+3 \text{QuantumGroups$\grave{ }$a}^6 z^2+24 \text{QuantumGroups$\grave{ }$a}^4 z^2+31 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2-\text{QuantumGroups$\grave{ }$a}^9 z-2 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2 }[/math] |
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