K13n1300
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Polynomial invariants
| Jones polynomial | Data:K13n1300/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+20 t^2-33 t+39-33 t^{-1} +20 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1300/Conway Polynomial |
| Determinant | 165 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-z^6 a^8-6 z^4 a^8-13 z^2 a^8-9 a^8+z^8 a^6+6 z^6 a^6+16 z^4 a^6+20 z^2 a^6+9 a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+2 z^2 a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+5 z^5 a^{11}-7 z^3 a^{11}+2 z a^{11}+2 z^8 a^{10}+2 z^4 a^{10}-z^2 a^{10}-2 a^{10}+7 z^9 a^9-26 z^7 a^9+56 z^5 a^9-49 z^3 a^9+17 z a^9+7 z^{10} a^8-21 z^8 a^8+31 z^6 a^8-20 z^4 a^8+17 z^2 a^8-9 a^8+2 z^{11} a^7+13 z^9 a^7-66 z^7 a^7+109 z^5 a^7-78 z^3 a^7+24 z a^7+13 z^{10} a^6-35 z^8 a^6+25 z^6 a^6-9 z^4 a^6+14 z^2 a^6-9 a^6+2 z^{11} a^5+13 z^9 a^5-60 z^7 a^5+72 z^5 a^5-42 z^3 a^5+11 z a^5+6 z^{10} a^4-8 z^8 a^4-18 z^6 a^4+23 z^4 a^4-8 z^2 a^4+7 z^9 a^3-19 z^7 a^3+11 z^5 a^3-3 z^3 a^3+z a^3+4 z^8 a^2-12 z^6 a^2+11 z^4 a^2-5 z^2 a^2+a^2+z^7 a-3 z^5 a+3 z^3 a-z a }[/math] |
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