K13n3597
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Polynomial invariants
| Jones polynomial | Data:K13n3597/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+22 t-25+22 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3597/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+2 z^4 a^{-2} -8 z^4+2 a^2 z^2-z^2 a^{-2} +z^2 a^{-4} -3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+7 z^{10} a^{-2} +13 z^{10}+4 a^3 z^9-4 a z^9-2 z^9 a^{-1} +6 z^9 a^{-3} +a^4 z^8-27 a^2 z^8-29 z^8 a^{-2} +2 z^8 a^{-4} -59 z^8-18 a^3 z^7-27 a z^7-34 z^7 a^{-1} -25 z^7 a^{-3} -4 a^4 z^6+34 a^2 z^6+33 z^6 a^{-2} -6 z^6 a^{-4} +77 z^6+23 a^3 z^5+51 a z^5+59 z^5 a^{-1} +32 z^5 a^{-3} +z^5 a^{-5} +4 a^4 z^4-15 a^2 z^4-10 z^4 a^{-2} +7 z^4 a^{-4} -36 z^4-10 a^3 z^3-26 a z^3-30 z^3 a^{-1} -13 z^3 a^{-3} +z^3 a^{-5} -a^4 z^2+2 a^2 z^2-4 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +3 z^2+a^3 z+3 a z+3 z a^{-1} -z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math] |
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