K13a4376
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Polynomial invariants
| Jones polynomial | Data:K13a4376/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-28 t^2+58 t-71+58 t^{-1} -28 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4376/Conway Polynomial |
| Determinant | 255 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-2 a^6+2 z^6 a^4+3 z^4 a^4+3 z^6 a^2+8 z^4 a^2+7 z^2 a^2+2 a^2+z^6+z^4-z^2-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+6 a^5 z^{11}+12 a^3 z^{11}+6 a z^{11}+10 a^6 z^{10}+11 a^4 z^{10}+8 a^2 z^{10}+7 z^{10}+11 a^7 z^9-35 a^3 z^9-19 a z^9+5 z^9 a^{-1} +8 a^8 z^8-14 a^6 z^8-38 a^4 z^8-45 a^2 z^8+3 z^8 a^{-2} -26 z^8+4 a^9 z^7-21 a^7 z^7-24 a^5 z^7+51 a^3 z^7+33 a z^7-16 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-15 a^8 z^6-6 a^6 z^6+44 a^4 z^6+90 a^2 z^6-11 z^6 a^{-2} +45 z^6-8 a^9 z^5+11 a^7 z^5+29 a^5 z^5-42 a^3 z^5-33 a z^5+15 z^5 a^{-1} -4 z^5 a^{-3} -2 a^{10} z^4+7 a^8 z^4+22 a^6 z^4-14 a^4 z^4-82 a^2 z^4+11 z^4 a^{-2} -44 z^4+4 a^9 z^3-3 a^7 z^3-a^5 z^3+26 a^3 z^3+11 a z^3-5 z^3 a^{-1} +4 z^3 a^{-3} +a^{10} z^2-4 a^8 z^2-14 a^6 z^2+3 a^4 z^2+27 a^2 z^2-2 z^2 a^{-2} +13 z^2-a^9 z-2 a^7 z-4 a^5 z-6 a^3 z-3 a z+a^8+2 a^6-2 a^2 }[/math] |
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