Abstract
The loop invariants of Dimofte–Garoufalidis is a formal power series with arithmetically interesting coefficients that conjecturally appears in the asymptotics of the Kashaev invariant of a knot to all orders in 1/N. We develop methods implemented in SnapPy that compute the first six coefficients of the formal power series of a knot. We give examples that illustrate our method and its results.
2000 AMS Subject Classification:
Funding
S.G. was supported in part by NSF.
Acknowledgments
The authors wish to thank the computer support group of the School of Mathematics and especially Justin Filoseta and Lew Lefton. We also wish to thank the anonymous referee for a careful reading of our article and for suggested improvements in the presentation.