K13n3654
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Polynomial invariants
| Jones polynomial | Data:K13n3654/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+20 t^2-28 t+31-28 t^{-1} +20 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3654/Conway Polynomial |
| Determinant | 149 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^6 a^8-5 z^4 a^8-7 z^2 a^8-3 a^8+z^8 a^6+5 z^6 a^6+9 z^4 a^6+7 z^2 a^6+a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+4 z^5 a^{11}-5 z^3 a^{11}+2 z a^{11}+z^8 a^{10}+3 z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}-a^{10}+4 z^9 a^9-11 z^7 a^9+25 z^5 a^9-20 z^3 a^9+6 z a^9+5 z^{10} a^8-15 z^8 a^8+28 z^6 a^8-24 z^4 a^8+13 z^2 a^8-3 a^8+2 z^{11} a^7+5 z^9 a^7-29 z^7 a^7+44 z^5 a^7-25 z^3 a^7+4 z a^7+11 z^{10} a^6-33 z^8 a^6+36 z^6 a^6-25 z^4 a^6+11 z^2 a^6-a^6+2 z^{11} a^5+8 z^9 a^5-41 z^7 a^5+44 z^5 a^5-18 z^3 a^5+z a^5+6 z^{10} a^4-13 z^8 a^4-2 z^6 a^4+8 z^4 a^4-4 z^2 a^4+2 a^4+7 z^9 a^3-22 z^7 a^3+18 z^5 a^3-6 z^3 a^3+z a^3+4 z^8 a^2-13 z^6 a^2+12 z^4 a^2-4 z^2 a^2+z^7 a-3 z^5 a+2 z^3 a }[/math] |
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