K14a7144
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Polynomial invariants
| Jones polynomial | Data:K14a7144/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-9 t^4+36 t^3-86 t^2+139 t-161+139 t^{-1} -86 t^{-2} +36 t^{-3} -9 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a7144/Conway Polynomial |
| Determinant | Data:K14a7144/Determinant |
| Signature | Data:K14a7144/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-2 a^4 z^8+5 a^2 z^8-2 z^8+a^6 z^6-8 a^4 z^6+11 a^2 z^6+z^6 a^{-2} -6 z^6+3 a^6 z^4-12 a^4 z^4+11 a^2 z^4+z^4 a^{-2} -3 z^4+3 a^6 z^2-8 a^4 z^2+3 a^2 z^2-2 z^2 a^{-2} +4 z^2+a^6-2 a^4- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a} z^{13}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+33 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+16 z^{12}+32 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+65 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+58 \text{QuantumGroups$\grave{ }$a} z^{11}+25 z^{11} $Failed^{-1} +36 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+34 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-13 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +8 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^7 z^9-37 \text{QuantumGroups$\grave{ }$a}^5 z^9-181 \text{QuantumGroups$\grave{ }$a}^3 z^9-183 \text{QuantumGroups$\grave{ }$a} z^9-59 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^8 z^8-69 \text{QuantumGroups$\grave{ }$a}^6 z^8-178 \text{QuantumGroups$\grave{ }$a}^4 z^8-172 \text{QuantumGroups$\grave{ }$a}^2 z^8-52 z^8 $Failed^{-1} +z^8 $Failed^{-1} -130 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-49 \text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7+136 \text{QuantumGroups$\grave{ }$a}^3 z^7+149 \text{QuantumGroups$\grave{ }$a} z^7+26 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-19 \text{QuantumGroups$\grave{ }$a}^8 z^6+59 \text{QuantumGroups$\grave{ }$a}^6 z^6+220 \text{QuantumGroups$\grave{ }$a}^4 z^6+257 \text{QuantumGroups$\grave{ }$a}^2 z^6+41 z^6 $Failed^{-1} -z^6 $Failed^{-1} +158 z^6-5 \text{QuantumGroups$\grave{ }$a}^9 z^5+42 \text{QuantumGroups$\grave{ }$a}^7 z^5+67 \text{QuantumGroups$\grave{ }$a}^5 z^5-9 \text{QuantumGroups$\grave{ }$a}^3 z^5-25 \text{QuantumGroups$\grave{ }$a} z^5+11 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+9 \text{QuantumGroups$\grave{ }$a}^8 z^4-24 \text{QuantumGroups$\grave{ }$a}^6 z^4-115 \text{QuantumGroups$\grave{ }$a}^4 z^4-134 \text{QuantumGroups$\grave{ }$a}^2 z^4-5 z^4 $Failed^{-1} -58 z^4-19 \text{QuantumGroups$\grave{ }$a}^7 z^3-36 \text{QuantumGroups$\grave{ }$a}^5 z^3-24 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^2+6 \text{QuantumGroups$\grave{ }$a}^6 z^2+27 \text{QuantumGroups$\grave{ }$a}^4 z^2+22 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^7 z+7 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4+ $Failed^{-1} +3 }[/math] |
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