K13n182
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Polynomial invariants
| Jones polynomial | Data:K13n182/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+22 t-25+22 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n182/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6-4 a^2 z^4-3 z^4 a^{-2} +8 z^4+2 a^4 z^2-11 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} +12 z^2+3 a^4-7 a^2-5 a^{-2} +2 a^{-4} +8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+6 a^3 z^9+10 a z^9+7 z^9 a^{-1} +3 z^9 a^{-3} +3 a^4 z^8-8 a^2 z^8-8 z^8 a^{-2} +z^8 a^{-4} -20 z^8-28 a^3 z^7-60 a z^7-46 z^7 a^{-1} -14 z^7 a^{-3} -14 a^4 z^6-23 a^2 z^6-8 z^6 a^{-2} -5 z^6 a^{-4} -12 z^6+a^5 z^5+43 a^3 z^5+87 a z^5+66 z^5 a^{-1} +21 z^5 a^{-3} +24 a^4 z^4+58 a^2 z^4+29 z^4 a^{-2} +9 z^4 a^{-4} +54 z^4-a^5 z^3-25 a^3 z^3-47 a z^3-36 z^3 a^{-1} -13 z^3 a^{-3} -15 a^4 z^2-37 a^2 z^2-22 z^2 a^{-2} -7 z^2 a^{-4} -37 z^2+5 a^3 z+9 a z+7 z a^{-1} +3 z a^{-3} +3 a^4+7 a^2+5 a^{-2} +2 a^{-4} +8 }[/math] |
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