Geodesic
First non-zero terms for the Taylor expansion at $1$ of the Conway potential function
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 57-59

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The Conway potential function $\nabla_L(t_1,\ldots,t_l)$ of an ordered oriented link $L=L_1\cup L_2\cup\ldots\cup L_l\subset S^3$ is considered. In general, this function is not determined by the linking numbers and the Conway potential functions of the components. However, the first two nonzero terms of the Taylor expansion at $1$ of the function $\nabla_L$ are determined by the linking numbers only. We give the explicit formulas for these terms using summation over trees with $l$ vertices. 
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     author = {A. Yu. Buryak},
     title = {First non-zero terms for the {Taylor} expansion at $1$ of the {Conway} potential function},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--59},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a10/}
}
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A. Yu. Buryak. First non-zero terms for the Taylor expansion at $1$ of the Conway potential function. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 57-59. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a10/