@InProceedings{cai_et_al:LIPIcs.ITCS.2018.2, author = {Cai, Jin-Yi and Fu, Zhiguo and Girstmair, Kurt and Kowalczyk, Michael}, title = {{A Complexity Trichotomy for k-Regular Asymmetric Spin Systems Using Number Theory}}, booktitle = {9th Innovations in Theoretical Computer Science Conference (ITCS 2018)}, pages = {2:1--2:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-060-6}, ISSN = {1868-8969}, year = {2018}, volume = {94}, editor = {Karlin, Anna R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2018.2}, URN = {urn:nbn:de:0030-drops-83251}, doi = {10.4230/LIPIcs.ITCS.2018.2}, annote = {Keywords: Spin Systems, Holant Problems, Number Theory, Characters, Cyclotomic Fields} }