K13n3213
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Polynomial invariants
| Jones polynomial | Data:K13n3213/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-40 t+49-40 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3213/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-z^4 a^{-2} +6 z^4+2 a^4 z^2-5 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +3 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+5 z^{10} a^{-2} +12 z^{10}+10 a^3 z^9+14 a z^9+8 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8-7 a^2 z^8-9 z^8 a^{-2} +z^8 a^{-4} -25 z^8+4 a^5 z^7-23 a^3 z^7-45 a z^7-22 z^7 a^{-1} -4 z^7 a^{-3} +a^6 z^6-19 a^4 z^6-8 a^2 z^6+23 z^6 a^{-2} +6 z^6 a^{-4} +29 z^6-9 a^5 z^5+19 a^3 z^5+53 a z^5+29 z^5 a^{-1} +7 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+14 a^4 z^4+15 a^2 z^4-33 z^4 a^{-2} -13 z^4 a^{-4} -21 z^4+4 a^5 z^3-6 a^3 z^3-26 a z^3-23 z^3 a^{-1} -12 z^3 a^{-3} -5 z^3 a^{-5} -4 a^4 z^2-6 a^2 z^2+15 z^2 a^{-2} +7 z^2 a^{-4} +6 z^2+a^3 z+4 a z+6 z a^{-1} +5 z a^{-3} +2 z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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