K13n2493
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Polynomial invariants
| Jones polynomial | Data:K13n2493/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+49 t-59+49 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2493/Conway Polynomial |
| Determinant | 227 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+4 a^2 z^6+3 a^6 z^4-13 a^4 z^4+15 a^2 z^4-3 z^4+4 a^6 z^2-16 a^4 z^2+19 a^2 z^2-6 z^2+2 a^6-7 a^4+8 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+8 a^6 z^{10}+17 a^4 z^{10}+9 a^2 z^{10}+10 a^7 z^9+15 a^5 z^9+14 a^3 z^9+9 a z^9+8 a^8 z^8-4 a^6 z^8-32 a^4 z^8-17 a^2 z^8+3 z^8+4 a^9 z^7-15 a^7 z^7-41 a^5 z^7-39 a^3 z^7-17 a z^7+a^{10} z^6-15 a^8 z^6-11 a^6 z^6+31 a^4 z^6+32 a^2 z^6+6 z^6-8 a^9 z^5+5 a^7 z^5+37 a^5 z^5+39 a^3 z^5+21 a z^5+6 z^5 a^{-1} -2 a^{10} z^4+9 a^8 z^4+8 a^6 z^4-32 a^4 z^4-49 a^2 z^4-20 z^4+5 a^9 z^3-18 a^5 z^3-23 a^3 z^3-19 a z^3-9 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+a^6 z^2+24 a^4 z^2+33 a^2 z^2+13 z^2-a^9 z+5 a^5 z+7 a^3 z+5 a z+2 z a^{-1} -2 a^6-7 a^4-8 a^2-2 }[/math] |
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