K14a18078
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Polynomial invariants
| Jones polynomial | Data:K14a18078/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-24 t^3+53 t^2-82 t+95-82 t^{-1} +53 t^{-2} -24 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K14a18078/Conway Polynomial |
| Determinant | Data:K14a18078/Determinant |
| Signature | Data:K14a18078/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +3 z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} +16 z^6 a^{-2} -21 z^6 a^{-4} +5 z^6 a^{-6} -3 z^6+a^2 z^4+32 z^4 a^{-2} -32 z^4 a^{-4} +9 z^4 a^{-6} -11 z^4+2 a^2 z^2+29 z^2 a^{-2} -24 z^2 a^{-4} +7 z^2 a^{-6} -13 z^2+a^2+11 a^{-2} -8 a^{-4} +2 a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +26 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +8 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +39 z^{11} $Failed^{-1} +37 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-100 z^{10} $Failed^{-1} -15 z^{10} $Failed^{-1} +48 z^{10} $Failed^{-1} -36 z^{10}-27 \text{QuantumGroups$\grave{ }$a} z^9-111 z^9 $Failed^{-1} -234 z^9 $Failed^{-1} -105 z^9 $Failed^{-1} +45 z^9 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^8+62 z^8 $Failed^{-1} -164 z^8 $Failed^{-1} -146 z^8 $Failed^{-1} +33 z^8 $Failed^{-1} +42 z^8+54 \text{QuantumGroups$\grave{ }$a} z^7+246 z^7 $Failed^{-1} +362 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -116 z^7 $Failed^{-1} +20 z^7 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^6+137 z^6 $Failed^{-1} +326 z^6 $Failed^{-1} +126 z^6 $Failed^{-1} -61 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} +18 z^6-48 \text{QuantumGroups$\grave{ }$a} z^5-195 z^5 $Failed^{-1} -188 z^5 $Failed^{-1} +68 z^5 $Failed^{-1} +83 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^4-179 z^4 $Failed^{-1} -214 z^4 $Failed^{-1} -53 z^4 $Failed^{-1} +25 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +z^4 $Failed^{-1} -58 z^4+17 \text{QuantumGroups$\grave{ }$a} z^3+51 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} -46 z^3 $Failed^{-1} -28 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^2+69 z^2 $Failed^{-1} +62 z^2 $Failed^{-1} +16 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +31 z^2-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +6 z $Failed^{-1} +10 z $Failed^{-1} +4 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-11 $Failed^{-1} -8 $Failed^{-1} -2 $Failed^{-1} -5 }[/math] |
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