K13n3598
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Polynomial invariants
| Jones polynomial | Data:K13n3598/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+24 t-29+24 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3598/Conway Polynomial |
| Determinant | 115 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-14 a^4 z^4+8 a^2 z^4-z^4+5 a^6 z^2-13 a^4 z^2+11 a^2 z^2-2 z^2+a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+9 a^4 z^{10}+3 a^2 z^{10}+7 a^7 z^9+a^5 z^9-5 a^3 z^9+a z^9+5 a^8 z^8-24 a^6 z^8-43 a^4 z^8-14 a^2 z^8+3 a^9 z^7-27 a^7 z^7-30 a^5 z^7+a^{10} z^6-15 a^8 z^6+37 a^6 z^6+87 a^4 z^6+38 a^2 z^6+4 z^6-9 a^9 z^5+37 a^7 z^5+72 a^5 z^5+27 a^3 z^5+2 a z^5+z^5 a^{-1} -3 a^{10} z^4+9 a^8 z^4-23 a^6 z^4-73 a^4 z^4-47 a^2 z^4-9 z^4+4 a^9 z^3-22 a^7 z^3-53 a^5 z^3-35 a^3 z^3-10 a z^3-2 z^3 a^{-1} +a^{10} z^2-a^8 z^2+8 a^6 z^2+28 a^4 z^2+23 a^2 z^2+5 z^2+4 a^7 z+12 a^5 z+12 a^3 z+5 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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