K14a7023
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K14a7023/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+9 t^4-37 t^3+92 t^2-153 t+181-153 t^{-1} +92 t^{-2} -37 t^{-3} +9 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K14a7023/Conway Polynomial |
| Determinant | Data:K14a7023/Determinant |
| Signature | Data:K14a7023/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+2 z^8 a^{-2} -5 z^8-a^4 z^6+7 a^2 z^6+8 z^6 a^{-2} -z^6 a^{-4} -13 z^6-2 a^4 z^4+11 a^2 z^4+14 z^4 a^{-2} -3 z^4 a^{-4} -20 z^4-2 a^4 z^2+11 a^2 z^2+12 z^2 a^{-2} -3 z^2 a^{-4} -17 z^2-2 a^4+6 a^2+4 a^{-2} - a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 \text{QuantumGroups$\grave{ }$a} z^{13}+4 z^{13} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12} $Failed^{-1} +33 z^{12}+33 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+70 \text{QuantumGroups$\grave{ }$a} z^{11}+61 z^{11} $Failed^{-1} +24 z^{11} $Failed^{-1} +32 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+37 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+30 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +13 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^5 z^9-44 \text{QuantumGroups$\grave{ }$a}^3 z^9-160 \text{QuantumGroups$\grave{ }$a} z^9-136 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^8-66 \text{QuantumGroups$\grave{ }$a}^4 z^8-173 \text{QuantumGroups$\grave{ }$a}^2 z^8-134 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -189 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-33 \text{QuantumGroups$\grave{ }$a}^5 z^7-12 \text{QuantumGroups$\grave{ }$a}^3 z^7+87 \text{QuantumGroups$\grave{ }$a} z^7+72 z^7 $Failed^{-1} -20 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^6 z^6+54 \text{QuantumGroups$\grave{ }$a}^4 z^6+188 \text{QuantumGroups$\grave{ }$a}^2 z^6+156 z^6 $Failed^{-1} +32 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +240 z^6-\text{QuantumGroups$\grave{ }$a}^7 z^5+22 \text{QuantumGroups$\grave{ }$a}^5 z^5+38 \text{QuantumGroups$\grave{ }$a}^3 z^5+9 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} +48 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^6 z^4-25 \text{QuantumGroups$\grave{ }$a}^4 z^4-95 \text{QuantumGroups$\grave{ }$a}^2 z^4-86 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -135 z^4-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-18 \text{QuantumGroups$\grave{ }$a}^3 z^3-19 \text{QuantumGroups$\grave{ }$a} z^3-27 z^3 $Failed^{-1} -29 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +z^3 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^2+28 \text{QuantumGroups$\grave{ }$a}^2 z^2+25 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +40 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
