K13n4155
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Polynomial invariants
| Jones polynomial | Data:K13n4155/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-13 t^3+24 t^2-34 t+39-34 t^{-1} +24 t^{-2} -13 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4155/Conway Polynomial |
| Determinant | 193 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -19 z^6+9 a^2 z^4+14 z^4 a^{-2} -z^4 a^{-4} -26 z^4+7 a^2 z^2+15 z^2 a^{-2} -3 z^2 a^{-4} -19 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+7 z^{10} a^{-2} +15 z^{10}+10 a^3 z^9+9 a z^9+4 z^9 a^{-1} +5 z^9 a^{-3} +8 a^4 z^8-11 a^2 z^8-22 z^8 a^{-2} +z^8 a^{-4} -42 z^8+4 a^5 z^7-19 a^3 z^7-36 a z^7-24 z^7 a^{-1} -11 z^7 a^{-3} +a^6 z^6-16 a^4 z^6+48 z^6 a^{-2} +6 z^6 a^{-4} +59 z^6-8 a^5 z^5+9 a^3 z^5+44 a z^5+45 z^5 a^{-1} +21 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+8 a^4 z^4+2 a^2 z^4-53 z^4 a^{-2} -15 z^4 a^{-4} -46 z^4+4 a^5 z^3-3 a^3 z^3-22 a z^3-34 z^3 a^{-1} -25 z^3 a^{-3} -6 z^3 a^{-5} +a^6 z^2-3 a^4 z^2+3 a^2 z^2+26 z^2 a^{-2} +8 z^2 a^{-4} +25 z^2-a^5 z+5 a z+9 z a^{-1} +8 z a^{-3} +3 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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