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We analyze the run time of these algorithms and consider several related problems, including the computation of two-sided ideal classes, isomorphism classes of orders, connecting ideals for orders, and ideal principalization. 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Matthias and H.-S. Kitzerow, “Director Fields Around Spherical and Cylindrical Micro Particles in a Liquid Crystal Host,” <i>Molecular Crystals and Liquid Crystals</i>, vol. 508, no. 1, p. 127/[489]-136/[498], 2009, doi: <a href=\"https://doi.org/10.1080/15421400903060300\">10.1080/15421400903060300</a>.","apa":"Matthias, H., &#38; Kitzerow, H.-S. (2009). Director Fields Around Spherical and Cylindrical Micro Particles in a Liquid Crystal Host. <i>Molecular Crystals and Liquid Crystals</i>, <i>508</i>(1), 127/[489]-136/[498]. <a href=\"https://doi.org/10.1080/15421400903060300\">https://doi.org/10.1080/15421400903060300</a>","chicago":"Matthias, H., and Heinz-Siegfried Kitzerow. “Director Fields Around Spherical and Cylindrical Micro Particles in a Liquid Crystal Host.” <i>Molecular Crystals and Liquid Crystals</i> 508, no. 1 (2009): 127/[489]-136/[498]. <a href=\"https://doi.org/10.1080/15421400903060300\">https://doi.org/10.1080/15421400903060300</a>.","short":"H. Matthias, H.-S. 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G. and Olsson, U. and Schmidt, Claudia}, year={2008}, pages={6480–6486} }","mla":"Medronho, B., et al. “Shear-Induced Transitions between a Planar Lamellar Phase and Multilamellar Vesicles: Continuous versus Discontinuous Transformation.” <i>Langmuir</i>, vol. 24, no. 13, American Chemical Society (ACS), 2008, pp. 6480–86, doi:<a href=\"https://doi.org/10.1021/la800326a\">10.1021/la800326a</a>.","short":"B. Medronho, S. Shafaei, R. Szopko, M.G. Miguel, U. Olsson, C. Schmidt, Langmuir 24 (2008) 6480–6486.","chicago":"Medronho, B., S. Shafaei, R. Szopko, M. G. Miguel, U. Olsson, and Claudia Schmidt. “Shear-Induced Transitions between a Planar Lamellar Phase and Multilamellar Vesicles: Continuous versus Discontinuous Transformation.” <i>Langmuir</i> 24, no. 13 (2008): 6480–86. <a href=\"https://doi.org/10.1021/la800326a\">https://doi.org/10.1021/la800326a</a>.","apa":"Medronho, B., Shafaei, S., Szopko, R., Miguel, M. G., Olsson, U., &#38; Schmidt, C. (2008). Shear-Induced Transitions between a Planar Lamellar Phase and Multilamellar Vesicles: Continuous versus Discontinuous Transformation. <i>Langmuir</i>, <i>24</i>(13), 6480–6486. <a href=\"https://doi.org/10.1021/la800326a\">https://doi.org/10.1021/la800326a</a>","ieee":"B. Medronho, S. Shafaei, R. Szopko, M. G. Miguel, U. Olsson, and C. Schmidt, “Shear-Induced Transitions between a Planar Lamellar Phase and Multilamellar Vesicles: Continuous versus Discontinuous Transformation,” <i>Langmuir</i>, vol. 24, no. 13, pp. 6480–6486, 2008, doi: <a href=\"https://doi.org/10.1021/la800326a\">10.1021/la800326a</a>."},"volume":24,"user_id":"466","publisher":"American Chemical Society (ACS)","_id":"35351","page":"6480-6486","status":"public"},{"citation":{"ama":"Liu J, Rieger J, Huber K. Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering. <i>Langmuir</i>. 2008;24(15):8262-8271. doi:<a href=\"https://doi.org/10.1021/la8006519\">10.1021/la8006519</a>","bibtex":"@article{Liu_Rieger_Huber_2008, title={Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering}, volume={24}, DOI={<a href=\"https://doi.org/10.1021/la8006519\">10.1021/la8006519</a>}, number={15}, journal={Langmuir}, publisher={American Chemical Society (ACS)}, author={Liu, Jianing and Rieger, Jens and Huber, Klaus}, year={2008}, pages={8262–8271} }","mla":"Liu, Jianing, et al. “Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering.” <i>Langmuir</i>, vol. 24, no. 15, American Chemical Society (ACS), 2008, pp. 8262–71, doi:<a href=\"https://doi.org/10.1021/la8006519\">10.1021/la8006519</a>.","chicago":"Liu, Jianing, Jens Rieger, and Klaus Huber. “Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering.” <i>Langmuir</i> 24, no. 15 (2008): 8262–71. <a href=\"https://doi.org/10.1021/la8006519\">https://doi.org/10.1021/la8006519</a>.","short":"J. Liu, J. Rieger, K. Huber, Langmuir 24 (2008) 8262–8271.","apa":"Liu, J., Rieger, J., &#38; Huber, K. (2008). Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering. <i>Langmuir</i>, <i>24</i>(15), 8262–8271. <a href=\"https://doi.org/10.1021/la8006519\">https://doi.org/10.1021/la8006519</a>","ieee":"J. Liu, J. Rieger, and K. Huber, “Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering,” <i>Langmuir</i>, vol. 24, no. 15, pp. 8262–8271, 2008, doi: <a href=\"https://doi.org/10.1021/la8006519\">10.1021/la8006519</a>."},"volume":24,"user_id":"237","_id":"41999","publisher":"American Chemical Society (ACS)","page":"8262-8271","status":"public","department":[{"_id":"314"}],"type":"journal_article","keyword":["Electrochemistry","Spectroscopy","Surfaces and Interfaces","Condensed Matter Physics","General Materials Science"],"date_created":"2023-02-10T14:43:56Z","publication":"Langmuir","issue":"15","doi":"10.1021/la8006519","language":[{"iso":"eng"}],"intvolume":"        24","date_updated":"2023-02-10T14:44:17Z","publication_status":"published","publication_identifier":{"issn":["0743-7463","1520-5827"]},"author":[{"first_name":"Jianing","last_name":"Liu","full_name":"Liu, Jianing"},{"full_name":"Rieger, Jens","first_name":"Jens","last_name":"Rieger"},{"full_name":"Huber, Klaus","first_name":"Klaus","last_name":"Huber","id":"237"}],"year":"2008","title":"Analysis of the Nucleation and Growth of Amorphous CaCO<sub>3</sub> by Means of Time-Resolved Static Light Scattering"}]