K13n1787
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Polynomial invariants
| Jones polynomial | Data:K13n1787/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+51 t-63+51 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1787/Conway Polynomial |
| Determinant | 235 |
| 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^2-15 a^4 z^2+20 a^2 z^2-6 z^2+a^6-6 a^4+9 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+9 a^6 z^{10}+18 a^4 z^{10}+9 a^2 z^{10}+11 a^7 z^9+19 a^5 z^9+17 a^3 z^9+9 a z^9+8 a^8 z^8-7 a^6 z^8-31 a^4 z^8-13 a^2 z^8+3 z^8+4 a^9 z^7-19 a^7 z^7-55 a^5 z^7-47 a^3 z^7-15 a z^7+a^{10} z^6-14 a^8 z^6-7 a^6 z^6+22 a^4 z^6+20 a^2 z^6+6 z^6-8 a^9 z^5+12 a^7 z^5+54 a^5 z^5+47 a^3 z^5+19 a z^5+6 z^5 a^{-1} -2 a^{10} z^4+7 a^8 z^4+6 a^6 z^4-22 a^4 z^4-36 a^2 z^4-17 z^4+5 a^9 z^3-3 a^7 z^3-24 a^5 z^3-29 a^3 z^3-22 a z^3-9 z^3 a^{-1} +a^{10} z^2-a^8 z^2+a^6 z^2+21 a^4 z^2+28 a^2 z^2+10 z^2-a^9 z-2 a^7 z+4 a^5 z+10 a^3 z+8 a z+3 z a^{-1} -a^6-6 a^4-9 a^2-3 }[/math] |
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