K13n3275
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Polynomial invariants
| Jones polynomial | Data:K13n3275/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+30 t-41+30 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3275/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+6 z^2 a^6+3 a^6+z^6 a^4+z^4 a^4-a^4-2 z^4 a^2-z^2 a^2+a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}+5 z^9 a^9-18 z^7 a^9+19 z^5 a^9-10 z^3 a^9+3 z a^9+5 z^{10} a^8-17 z^8 a^8+20 z^6 a^8-17 z^4 a^8+8 z^2 a^8-2 a^8+2 z^{11} a^7+z^9 a^7-20 z^7 a^7+31 z^5 a^7-23 z^3 a^7+5 z a^7+9 z^{10} a^6-33 z^8 a^6+51 z^6 a^6-43 z^4 a^6+17 z^2 a^6-3 a^6+2 z^{11} a^5-z^9 a^5-6 z^7 a^5+12 z^5 a^5-7 z^3 a^5+z a^5+4 z^{10} a^4-12 z^8 a^4+23 z^6 a^4-20 z^4 a^4+10 z^2 a^4-a^4+3 z^9 a^3-5 z^7 a^3+8 z^5 a^3-2 z^3 a^3+z^8 a^2+3 z^6 a^2-3 z^4 a^2+2 z^2 a^2-a^2+4 z^5 a-4 z^3 a+z^4-z^2 }[/math] |
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