K13n1295
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Polynomial invariants
| Jones polynomial | Data:K13n1295/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+15 t^2-22 t+25-22 t^{-1} +15 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1295/Conway Polynomial |
| Determinant | 117 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-z^6 a^8-6 z^4 a^8-12 z^2 a^8-8 a^8+z^8 a^6+6 z^6 a^6+14 z^4 a^6+15 z^2 a^6+6 a^6+z^8 a^4+5 z^6 a^4+9 z^4 a^4+8 z^2 a^4+3 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-2 z^2 a^{12}+4 z^5 a^{11}-8 z^3 a^{11}+3 z a^{11}+2 z^8 a^{10}-5 z^6 a^{10}+9 z^4 a^{10}-4 z^2 a^{10}-2 a^{10}+5 z^9 a^9-23 z^7 a^9+51 z^5 a^9-46 z^3 a^9+18 z a^9+4 z^{10} a^8-13 z^8 a^8+17 z^6 a^8-6 z^4 a^8+11 z^2 a^8-8 a^8+z^{11} a^7+8 z^9 a^7-45 z^7 a^7+84 z^5 a^7-66 z^3 a^7+22 z a^7+7 z^{10} a^6-21 z^8 a^6+18 z^6 a^6-6 z^4 a^6+7 z^2 a^6-6 a^6+z^{11} a^5+7 z^9 a^5-34 z^7 a^5+44 z^5 a^5-29 z^3 a^5+7 z a^5+3 z^{10} a^4-3 z^8 a^4-15 z^6 a^4+20 z^4 a^4-12 z^2 a^4+3 a^4+4 z^9 a^3-11 z^7 a^3+3 z^5 a^3+4 z^3 a^3-2 z a^3+3 z^8 a^2-11 z^6 a^2+12 z^4 a^2-6 z^2 a^2+2 a^2+z^7 a-4 z^5 a+5 z^3 a-2 z a }[/math] |
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