K13n3403
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Polynomial invariants
| Jones polynomial | Data:K13n3403/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+35 t-43+35 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3403/Conway Polynomial |
| Determinant | 163 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+3 a^2 z^6+4 a^6 z^4-16 a^4 z^4+12 a^2 z^4-2 z^4+6 a^6 z^2-18 a^4 z^2+17 a^2 z^2-4 z^2+2 a^6-7 a^4+8 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+11 a^4 z^{10}+5 a^2 z^{10}+7 a^7 z^9+8 a^5 z^9+5 a^3 z^9+4 a z^9+5 a^8 z^8-14 a^6 z^8-33 a^4 z^8-13 a^2 z^8+z^8+3 a^9 z^7-19 a^7 z^7-39 a^5 z^7-23 a^3 z^7-6 a z^7+a^{10} z^6-11 a^8 z^6+16 a^6 z^6+53 a^4 z^6+31 a^2 z^6+6 z^6-8 a^9 z^5+23 a^7 z^5+67 a^5 z^5+43 a^3 z^5+10 a z^5+3 z^5 a^{-1} -3 a^{10} z^4+5 a^8 z^4-9 a^6 z^4-47 a^4 z^4-45 a^2 z^4-15 z^4+5 a^9 z^3-15 a^7 z^3-45 a^5 z^3-38 a^3 z^3-18 a z^3-5 z^3 a^{-1} +2 a^{10} z^2-a^8 z^2+5 a^6 z^2+28 a^4 z^2+28 a^2 z^2+8 z^2-a^9 z+2 a^7 z+11 a^5 z+13 a^3 z+7 a z+2 z a^{-1} -2 a^6-7 a^4-8 a^2-2 }[/math] |
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