K13a752
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Polynomial invariants
| Jones polynomial | Data:K13a752/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-15 t^3+48 t^2-88 t+107-88 t^{-1} +48 t^{-2} -15 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a752/Conway Polynomial |
| Determinant | 413 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-2 a^4 z^4-4 a^2 z^4-2 z^4 a^{-2} +5 z^4+5 a^4 z^2-8 a^2 z^2-z^2 a^{-2} +5 z^2-2 a^6+5 a^4-4 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^4 z^{12}+4 a^2 z^{12}+12 a^5 z^{11}+28 a^3 z^{11}+16 a z^{11}+13 a^6 z^{10}+30 a^4 z^{10}+46 a^2 z^{10}+29 z^{10}+6 a^7 z^9-20 a^5 z^9-45 a^3 z^9+13 a z^9+32 z^9 a^{-1} +a^8 z^8-42 a^6 z^8-126 a^4 z^8-146 a^2 z^8+24 z^8 a^{-2} -39 z^8-18 a^7 z^7-25 a^5 z^7-51 a^3 z^7-110 a z^7-53 z^7 a^{-1} +13 z^7 a^{-3} -2 a^8 z^6+42 a^6 z^6+131 a^4 z^6+116 a^2 z^6-31 z^6 a^{-2} +5 z^6 a^{-4} -7 z^6+16 a^7 z^5+53 a^5 z^5+105 a^3 z^5+111 a z^5+32 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +a^8 z^4-11 a^6 z^4-37 a^4 z^4-19 a^2 z^4+15 z^4 a^{-2} -2 z^4 a^{-4} +23 z^4-2 a^7 z^3-18 a^5 z^3-44 a^3 z^3-38 a z^3-8 z^3 a^{-1} +2 z^3 a^{-3} -3 a^6 z^2-8 a^4 z^2-12 a^2 z^2-2 z^2 a^{-2} -9 z^2-2 a^7 z-a^5 z+3 a^3 z+2 a z+2 a^6+5 a^4+4 a^2+2 }[/math] |
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