K13n3306
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Polynomial invariants
| Jones polynomial | Data:K13n3306/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+22 t-25+22 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3306/Conway Polynomial |
| Determinant | 107 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-14 a^4 z^4+8 a^2 z^4-z^4+5 a^6 z^2-14 a^4 z^2+10 a^2 z^2-2 z^2+2 a^6-5 a^4+4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+6 a^7 z^9-2 a^5 z^9-7 a^3 z^9+a z^9+5 a^8 z^8-19 a^6 z^8-39 a^4 z^8-15 a^2 z^8+3 a^9 z^7-22 a^7 z^7-15 a^5 z^7+10 a^3 z^7+a^{10} z^6-16 a^8 z^6+27 a^6 z^6+79 a^4 z^6+39 a^2 z^6+4 z^6-9 a^9 z^5+28 a^7 z^5+43 a^5 z^5+3 a^3 z^5-2 a z^5+z^5 a^{-1} -3 a^{10} z^4+12 a^8 z^4-15 a^6 z^4-66 a^4 z^4-46 a^2 z^4-10 z^4+4 a^9 z^3-17 a^7 z^3-31 a^5 z^3-9 a^3 z^3-a z^3-2 z^3 a^{-1} +a^{10} z^2-3 a^8 z^2+6 a^6 z^2+27 a^4 z^2+22 a^2 z^2+5 z^2+4 a^7 z+7 a^5 z+3 a^3 z-2 a^6-5 a^4-4 a^2 }[/math] |
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