{"schema":1,"generated_at":"2026-10-08T19:35:19Z","name":"Hierarchical risk parity: growth of 1","resolution":"W-SUN","meta":{"spec":"docs/research/models_v1_spec.md","disclaimer":"Rules registered in advance and tracked in public. Not investment advice: a model's holdings describe what its rule says, not what anyone should buy. Backtests before a model's entry date are not evidence of future results.","as_of":"2026-10-06","n_trials":191,"signal_freshness":{"cape":"2026-08-31","yield_gap":"2026-10-08","pe_n500":"2026-10-08"},"notes":["Returns after costs. After-tax figures: resident individual in the 30% slab, Indian capital-gains rules by date, everything sold at the end.","Foreign legs: S&P 500 and Nasdaq-100 price indices in rupees, held through LRS (0.60% each way, 0.10% a year), one session behind the NSE close.","dsr_* is the deflated Sharpe ratio over all counted trials; 0.95 is the usual bar."],"basis":"growth of 1 after costs, before tax","source":"tipsheet models, computed from NSE total-return indices, domestic gold (World Gold Council), the NSE 5-year G-sec index, the 91-day T-bill, and for foreign legs the S&P 500 and Nasdaq-100 in rupees (ECB rates)."},"dates":["2005-04-01","2005-04-08","2005-04-15","2005-04-22","2005-04-29","2005-05-06","2005-05-13","2005-05-20","2005-05-27","2005-06-04","2005-06-10","2005-06-17","2005-06-24","2005-07-01","2005-07-08","2005-07-15","2005-07-22","2005-07-29","2005-08-05","2005-08-12","2005-08-19","2005-08-26","2005-09-02","2005-09-09","2005-09-16","2005-09-23","2005-09-30","2005-10-07","2005-10-14","2005-10-21","2005-10-28","2005-11-02","2005-11-11","2005-11-18","2005-11-26","2005-12-02","2005-12-09","2005-12-16","2005-12-23","2005-12-30","2006-01-06","2006-01-13","2006-01-20","2006-01-27","2006-02-03","2006-02-10","2006-02-17","2006-02-24","2006-03-03","2006-03-10","2006-03-17","2006-03-24","2006-03-31","2006-04-07","2006-04-13","2006-04-21","2006-04-29","2006-05-05","2006-05-12","2006-05-19","2006-05-26","2006-06-02","2006-06-09","2006-06-16","2006-06-25","2006-06-30","2006-07-07","2006-07-14","2006-07-21","2006-07-28","2006-08-04","2006-08-11","2006-08-18","2006-08-25","2006-09-01","2006-09-08","2006-09-15","2006-09-22","2006-09-29","2006-10-06","2006-10-13","2006-10-21","2006-10-27","2006-11-03","2006-11-10","2006-11-17","2006-11-24","2006-12-01","2006-12-08","2006-12-15","2006-12-22","2006-12-29","2007-01-05","2007-01-12","2007-01-19","2007-01-25","2007-02-02","2007-02-09","2007-02-15","2007-02-23","2007-03-02","2007-03-09","2007-03-16","2007-03-23","2007-03-30","2007-04-05","2007-04-13","2007-04-20","2007-04-27","2007-05-04","2007-05-11","2007-05-18","2007-05-25","2007-06-01","2007-06-08","2007-06-15","2007-06-22","2007-06-29","2007-07-06","2007-07-13","2007-07-20","2007-07-27","2007-08-03","2007-08-10","2007-08-17","2007-08-24","2007-08-31","2007-09-07","2007-09-14","2007-09-21","2007-09-28","2007-10-05","2007-10-12","2007-10-19","2007-10-26","2007-11-02","2007-11-09","2007-11-16","2007-11-23","2007-11-30","2007-12-07","2007-12-14","2007-12-20","2007-12-28","2008-01-04","2008-01-11","2008-01-18","2008-01-25","2008-02-01","2008-02-08","2008-02-15","2008-02-22","2008-02-29","2008-03-07","2008-03-14","2008-03-19","2008-03-28","2008-04-04","2008-04-11","2008-04-17","2008-04-25","2008-05-02","2008-05-09","2008-05-16","2008-05-23","2008-05-30","2008-06-06","2008-06-13","2008-06-20","2008-06-27","2008-07-04","2008-07-11","2008-07-18","2008-07-25","2008-08-01","2008-08-08","2008-08-14","2008-08-22","2008-08-29","2008-09-05","2008-09-12","2008-09-19","2008-09-26","2008-10-03","2008-10-10","2008-10-17","2008-10-24","2008-10-31","2008-11-07","2008-11-14","2008-11-21","2008-11-28","2008-12-05","2008-12-12","2008-12-19","2008-12-26","2009-01-02","2009-01-09","2009-01-16","2009-01-23","2009-01-30","2009-02-06","2009-02-13","2009-02-20","2009-02-27","2009-03-06","2009-03-13","2009-03-20","2009-03-27","2009-04-02","2009-04-09","2009-04-17","2009-04-24","2009-04-29","2009-05-08","2009-05-15","2009-05-22","2009-05-29","2009-06-05","2009-06-12","2009-06-19","2009-06-26","2009-07-03","2009-07-10","2009-07-17","2009-07-24","2009-07-31","2009-08-07","2009-08-14","2009-08-21","2009-08-28","2009-09-04","2009-09-11","2009-09-18","2009-09-25","2009-10-01","2009-10-09","2009-10-17","2009-10-23","2009-10-30","2009-11-06","2009-11-13","2009-11-20","2009-11-27","2009-12-04","2009-12-11","2009-12-18","2009-12-24","2009-12-31","2010-01-08","2010-01-15","2010-01-22","2010-01-29","2010-02-06","2010-02-11","2010-02-19","2010-02-26","2010-03-05","2010-03-12","2010-03-19","2010-03-26","2010-04-01","2010-04-09","2010-04-16","2010-04-23","2010-04-30","2010-05-07","2010-05-14","2010-05-21","2010-05-28","2010-06-04","2010-06-11","2010-06-18","2010-06-25","2010-07-02","2010-07-09","2010-07-16","2010-07-23","2010-07-30","2010-08-06","2010-08-13","2010-08-20","2010-08-27","2010-09-03","2010-09-09","2010-09-17","2010-09-24","2010-10-01","2010-10-08","2010-10-15","2010-10-22","2010-10-29","2010-11-05","2010-11-12","2010-11-19","2010-11-26","2010-12-03","2010-12-10","2010-12-16","2010-12-24","2010-12-31","2011-01-07","2011-01-14","2011-01-21","2011-01-28","2011-02-04","2011-02-11","2011-02-18","2011-02-25","2011-03-04","2011-03-11","2011-03-18","2011-03-25","2011-04-01","2011-04-08","2011-04-15","2011-04-21","2011-04-29","2011-05-06","2011-05-13","2011-05-20","2011-05-27","2011-06-03","2011-06-10","2011-06-17","2011-06-24","2011-07-01","2011-07-08","2011-07-15","2011-07-22","2011-07-29","2011-08-05","2011-08-12","2011-08-19","2011-08-26","2011-09-02","2011-09-09","2011-09-16","2011-09-23","2011-09-30","2011-10-07","2011-10-14","2011-10-21","2011-10-28","2011-11-04","2011-11-11","2011-11-18","2011-11-25","2011-12-02","2011-12-09","2011-12-16","2011-12-23","2011-12-30","2012-01-07","2012-01-13","2012-01-20","2012-01-27","2012-02-03","2012-02-10","2012-02-17","2012-02-24","2012-03-03","2012-03-09","2012-03-16","2012-03-23","2012-03-30","2012-04-04","2012-04-13","2012-04-20","2012-04-28","2012-05-04","2012-05-11","2012-05-18","2012-05-25","2012-06-01","2012-06-08","2012-06-15","2012-06-22","2012-06-29","2012-07-06","2012-07-13","2012-07-20","2012-07-27","2012-08-03","2012-08-10","2012-08-17","2012-08-24","2012-08-31","2012-09-08","2012-09-14","2012-09-21","2012-09-28","2012-10-05","2012-10-12","2012-10-19","2012-10-26","2012-11-02","2012-11-09","2012-11-16","2012-11-23","2012-11-30","2012-12-07","2012-12-14","2012-12-21","2012-12-28","2013-01-04","2013-01-11","2013-01-18","2013-01-25","2013-02-01","2013-02-08","2013-02-15","2013-02-22","2013-03-01","2013-03-08","2013-03-15","2013-03-22","2013-03-28","2013-04-05","2013-04-12","2013-04-18","2013-04-26","2013-05-03","2013-05-11","2013-05-17","2013-05-24","2013-05-31","2013-06-07","2013-06-14","2013-06-21","2013-06-28","2013-07-05","2013-07-12","2013-07-19","2013-07-26","2013-08-02","2013-08-08","2013-08-16","2013-08-23","2013-08-30","2013-09-06","2013-09-13","2013-09-20","2013-09-27","2013-10-04","2013-10-11","2013-10-18","2013-10-25","2013-11-03","2013-11-08","2013-11-14","2013-11-22","2013-11-29","2013-12-06","2013-12-13","2013-12-20","2013-12-27","2014-01-03","2014-01-10","2014-01-17","2014-01-24","2014-01-31","2014-02-07","2014-02-14","2014-02-21","2014-02-28","2014-03-07","2014-03-14","2014-03-22","2014-03-28","2014-04-04","2014-04-11","2014-04-17","2014-04-25","2014-05-02","2014-05-09","2014-05-16","2014-05-23","2014-05-30","2014-06-06","2014-06-13","2014-06-20","2014-06-27","2014-07-04","2014-07-11","2014-07-18","2014-07-25","2014-08-01","2014-08-08","2014-08-14","2014-08-22","2014-08-28","2014-09-05","2014-09-12","2014-09-19","2014-09-26","2014-10-01","2014-10-10","2014-10-17","2014-10-23","2014-10-31","2014-11-07","2014-11-14","2014-11-21","2014-11-28","2014-12-05","2014-12-12","2014-12-19","2014-12-26","2015-01-02","2015-01-09","2015-01-16","2015-01-23","2015-01-30","2015-02-06","2015-02-13","2015-02-20","2015-02-28","2015-03-05","2015-03-13","2015-03-20","2015-03-27","2015-04-01","2015-04-10","2015-04-17","2015-04-24","2015-04-30","2015-05-08","2015-05-15","2015-05-22","2015-05-29","2015-06-05","2015-06-12","2015-06-19","2015-06-26","2015-07-03","2015-07-10","2015-07-17","2015-07-24","2015-07-31","2015-08-07","2015-08-14","2015-08-21","2015-08-28","2015-09-04","2015-09-11","2015-09-18","2015-09-24","2015-10-01","2015-10-09","2015-10-16","2015-10-23","2015-10-30","2015-11-06","2015-11-13","2015-11-20","2015-11-27","2015-12-04","2015-12-11","2015-12-18","2015-12-24","2016-01-01","2016-01-08","2016-01-15","2016-01-22","2016-01-29","2016-02-05","2016-02-12","2016-02-19","2016-02-26","2016-03-04","2016-03-11","2016-03-18","2016-03-23","2016-04-01","2016-04-08","2016-04-13","2016-04-22","2016-04-29","2016-05-06","2016-05-13","2016-05-20","2016-05-27","2016-06-03","2016-06-10","2016-06-17","2016-06-24","2016-07-01","2016-07-08","2016-07-15","2016-07-22","2016-07-29","2016-08-05","2016-08-12","2016-08-19","2016-08-26","2016-09-02","2016-09-09","2016-09-16","2016-09-23","2016-09-30","2016-10-07","2016-10-14","2016-10-21","2016-10-30","2016-11-04","2016-11-11","2016-11-18","2016-11-25","2016-12-02","2016-12-09","2016-12-16","2016-12-23","2016-12-30","2017-01-06","2017-01-13","2017-01-20","2017-01-27","2017-02-03","2017-02-10","2017-02-17","2017-02-23","2017-03-03","2017-03-10","2017-03-17","2017-03-24","2017-03-31","2017-04-07","2017-04-13","2017-04-21","2017-04-28","2017-05-05","2017-05-12","2017-05-19","2017-05-26","2017-06-02","2017-06-09","2017-06-16","2017-06-23","2017-06-30","2017-07-07","2017-07-14","2017-07-21","2017-07-28","2017-08-04","2017-08-11","2017-08-18","2017-08-24","2017-09-01","2017-09-08","2017-09-15","2017-09-22","2017-09-29","2017-10-06","2017-10-13","2017-10-19","2017-10-27","2017-11-03","2017-11-10","2017-11-17","2017-11-24","2017-12-01","2017-12-08","2017-12-15","2017-12-22","2017-12-29","2018-01-05","2018-01-12","2018-01-19","2018-01-25","2018-02-02","2018-02-09","2018-02-16","2018-02-23","2018-03-01","2018-03-09","2018-03-16","2018-03-23","2018-03-28","2018-04-06","2018-04-13","2018-04-20","2018-04-27","2018-05-04","2018-05-11","2018-05-18","2018-05-25","2018-06-01","2018-06-08","2018-06-15","2018-06-22","2018-06-29","2018-07-06","2018-07-13","2018-07-20","2018-07-27","2018-08-03","2018-08-10","2018-08-17","2018-08-24","2018-08-31","2018-09-07","2018-09-14","2018-09-21","2018-09-28","2018-10-05","2018-10-12","2018-10-19","2018-10-26","2018-11-02","2018-11-09","2018-11-16","2018-11-22","2018-11-30","2018-12-07","2018-12-14","2018-12-21","2018-12-28","2019-01-04","2019-01-11","2019-01-18","2019-01-25","2019-02-01","2019-02-08","2019-02-15","2019-02-22","2019-03-01","2019-03-08","2019-03-15","2019-03-22","2019-03-29","2019-04-05","2019-04-12","2019-04-18","2019-04-26","2019-05-03","2019-05-10","2019-05-17","2019-05-24","2019-05-31","2019-06-07","2019-06-14","2019-06-21","2019-06-28","2019-07-05","2019-07-12","2019-07-19","2019-07-26","2019-08-02","2019-08-09","2019-08-16","2019-08-23","2019-08-30","2019-09-06","2019-09-13","2019-09-20","2019-09-27","2019-10-04","2019-10-11","2019-10-18","2019-10-27","2019-11-01","2019-11-08","2019-11-15","2019-11-22","2019-11-29","2019-12-06","2019-12-13","2019-12-20","2019-12-27","2020-01-03","2020-01-10","2020-01-17","2020-01-24","2020-02-01","2020-02-07","2020-02-14","2020-02-20","2020-02-28","2020-03-06","2020-03-13","2020-03-20","2020-03-27","2020-04-03","2020-04-09","2020-04-17","2020-04-24","2020-04-30","2020-05-08","2020-05-15","2020-05-22","2020-05-29","2020-06-05","2020-06-12","2020-06-19","2020-06-26","2020-07-03","2020-07-10","2020-07-17","2020-07-24","2020-07-31","2020-08-07","2020-08-14","2020-08-21","2020-08-28","2020-09-04","2020-09-11","2020-09-18","2020-09-25","2020-10-01","2020-10-09","2020-10-16","2020-10-23","2020-10-30","2020-11-06","2020-11-14","2020-11-20","2020-11-27","2020-12-04","2020-12-11","2020-12-18","2020-12-24","2021-01-01","2021-01-08","2021-01-15","2021-01-22","2021-01-29","2021-02-05","2021-02-12","2021-02-19","2021-02-26","2021-03-05","2021-03-12","2021-03-19","2021-03-26","2021-04-01","2021-04-09","2021-04-16","2021-04-23","2021-04-30","2021-05-07","2021-05-14","2021-05-21","2021-05-28","2021-06-04","2021-06-11","2021-06-18","2021-06-25","2021-07-02","2021-07-09","2021-07-16","2021-07-23","2021-07-30","2021-08-06","2021-08-13","2021-08-20","2021-08-27","2021-09-03","2021-09-09","2021-09-17","2021-09-24","2021-10-01","2021-10-08","2021-10-14","2021-10-22","2021-10-29","2021-11-04","2021-11-12","2021-11-18","2021-11-26","2021-12-03","2021-12-10","2021-12-17","2021-12-24","2021-12-31","2022-01-07","2022-01-14","2022-01-21","2022-01-28","2022-02-04","2022-02-11","2022-02-18","2022-02-25","2022-03-04","2022-03-11","2022-03-17","2022-03-25","2022-04-01","2022-04-08","2022-04-13","2022-04-22","2022-04-29","2022-05-06","2022-05-13","2022-05-20","2022-05-27","2022-06-03","2022-06-10","2022-06-17","2022-06-24","2022-07-01","2022-07-08","2022-07-15","2022-07-22","2022-07-29","2022-08-05","2022-08-12","2022-08-19","2022-08-26","2022-09-02","2022-09-09","2022-09-16","2022-09-23","2022-09-30","2022-10-07","2022-10-14","2022-10-21","2022-10-28","2022-11-04","2022-11-11","2022-11-18","2022-11-25","2022-12-02","2022-12-09","2022-12-16","2022-12-23","2022-12-30","2023-01-06","2023-01-13","2023-01-20","2023-01-27","2023-02-03","2023-02-10","2023-02-17","2023-02-24","2023-03-03","2023-03-10","2023-03-17","2023-03-24","2023-03-31","2023-04-06","2023-04-13","2023-04-21","2023-04-28","2023-05-05","2023-05-12","2023-05-19","2023-05-26","2023-06-02","2023-06-09","2023-06-16","2023-06-23","2023-06-30","2023-07-07","2023-07-14","2023-07-21","2023-07-28","2023-08-04","2023-08-11","2023-08-18","2023-08-25","2023-09-01","2023-09-08","2023-09-15","2023-09-22","2023-09-29","2023-10-06","2023-10-13","2023-10-20","2023-10-27","2023-11-03","2023-11-12","2023-11-17","2023-11-24","2023-12-01","2023-12-08","2023-12-15","2023-12-22","2023-12-29","2024-01-05","2024-01-12","2024-01-20","2024-01-25","2024-02-02","2024-02-09","2024-02-16","2024-02-23","2024-03-02","2024-03-07","2024-03-15","2024-03-22","2024-03-28","2024-04-05","2024-04-12","2024-04-19","2024-04-26","2024-05-03","2024-05-10","2024-05-18","2024-05-24","2024-05-31","2024-06-07","2024-06-14","2024-06-21","2024-06-28","2024-07-05","2024-07-12","2024-07-19","2024-07-26","2024-08-02","2024-08-09","2024-08-16","2024-08-23","2024-08-30","2024-09-06","2024-09-13","2024-09-20","2024-09-27","2024-10-04","2024-10-11","2024-10-18","2024-10-25","2024-11-01","2024-11-08","2024-11-14","2024-11-22","2024-11-29","2024-12-06","2024-12-13","2024-12-20","2024-12-27","2025-01-03","2025-01-10","2025-01-17","2025-01-24","2025-02-01","2025-02-07","2025-02-14","2025-02-21","2025-02-28","2025-03-07","2025-03-13","2025-03-21","2025-03-28","2025-04-04","2025-04-11","2025-04-17","2025-04-25","2025-05-02","2025-05-09","2025-05-16","2025-05-23","2025-05-30","2025-06-06","2025-06-13","2025-06-20","2025-06-27","2025-07-04","2025-07-11","2025-07-18","2025-07-25","2025-08-01","2025-08-08","2025-08-14","2025-08-22","2025-08-29","2025-09-05","2025-09-12","2025-09-19","2025-09-26","2025-10-03","2025-10-10","2025-10-17","2025-10-24","2025-10-31","2025-11-07","2025-11-14","2025-11-21","2025-11-28","2025-12-05","2025-12-12","2025-12-19","2025-12-26","2026-01-02","2026-01-09","2026-01-16","2026-01-23","2026-02-01","2026-02-06","2026-02-13","2026-02-20","2026-02-27","2026-03-06","2026-03-13","2026-03-20","2026-03-27","2026-04-02","2026-04-10","2026-04-17","2026-04-24","2026-04-30","2026-05-08","2026-05-15","2026-05-22","2026-05-29","2026-06-05","2026-06-12","2026-06-19","2026-06-25","2026-07-03","2026-07-10","2026-07-17","2026-07-24","2026-07-31","2026-08-07","2026-08-14","2026-08-21","2026-08-28","2026-09-04","2026-09-11","2026-09-18","2026-09-25","2026-10-01","2026-10-06"],"series":{"model":[1.0,0.9894,0.9904,0.9935,0.9898,0.9841,0.9882,0.9904,0.9922,0.9981,1.0013,1.004,1.0103,1.0081,1.0038,1.0032,1.0083,1.0155,1.0199,1.0235,1.0227,1.0235,1.029,1.0311,1.0356,1.0367,1.0398,1.0415,1.0421,1.0399,1.0437,1.0434,1.0488,1.0556,1.06,1.0621,1.0656,1.064,1.0647,1.0665,1.0705,1.072,1.0728,1.0629,1.0644,1.0659,1.0642,1.0631,1.0618,1.0608,1.0639,1.0688,1.0656,1.0731,1.0742,1.0873,1.087,1.0898,1.0907,1.0836,1.083,1.0771,1.0714,1.0728,1.066,1.0666,1.0666,1.0629,1.0687,1.0673,1.0653,1.0749,1.0796,1.0824,1.0855,1.0908,1.0872,1.0949,1.096,1.0982,1.0977,1.0996,1.1031,1.1019,1.1044,1.1066,1.114,1.1139,1.1169,1.1071,1.1105,1.1114,1.1135,1.1033,1.1063,1.1075,1.1128,1.1095,1.1034,1.1067,1.1077,1.1072,1.1056,1.111,1.1124,1.1054,1.1081,1.1114,1.1126,1.1142,1.1153,1.117,1.1196,1.1265,1.1272,1.1249,1.1308,1.1354,1.1455,1.1498,1.1604,1.1611,1.1568,1.1486,1.1452,1.1481,1.1533,1.1618,1.1647,1.1689,1.1649,1.1645,1.168,1.1702,1.1788,1.1788,1.1774,1.1788,1.1818,1.1816,1.1863,1.1875,1.1893,1.1966,1.2069,1.2153,1.2135,1.2242,1.2194,1.2225,1.2219,1.2192,1.2227,1.2235,1.2263,1.2277,1.2226,1.2141,1.208,1.2074,1.2054,1.2173,1.2208,1.2177,1.2171,1.2154,1.2105,1.2029,1.1963,1.1837,1.1701,1.1613,1.1701,1.1733,1.1723,1.1762,1.1774,1.1787,1.199,1.2127,1.224,1.2235,1.223,1.2298,1.2545,1.254,1.2623,1.2773,1.2744,1.2814,1.2933,1.3028,1.3128,1.3486,1.3801,1.3741,1.404,1.3667,1.3883,1.3741,1.3736,1.3793,1.3894,1.386,1.3862,1.3777,1.3582,1.3671,1.354,1.3654,1.3871,1.3972,1.4058,1.4,1.4057,1.4081,1.4085,1.4086,1.4107,1.3999,1.3985,1.4025,1.4163,1.4065,1.4125,1.4115,1.4084,1.4027,1.4061,1.3977,1.3996,1.3989,1.4011,1.41,1.4105,1.405,1.4094,1.4029,1.4026,1.4051,1.4107,1.4156,1.4317,1.4343,1.436,1.4294,1.4213,1.4258,1.4291,1.4298,1.4343,1.4371,1.4342,1.4301,1.4265,1.4354,1.4316,1.4373,1.4369,1.4433,1.4412,1.4415,1.4449,1.4392,1.4448,1.4607,1.4659,1.4773,1.4784,1.4729,1.476,1.4748,1.4778,1.4794,1.4836,1.4804,1.4845,1.4852,1.4801,1.4745,1.4786,1.4779,1.4791,1.4799,1.4814,1.4827,1.4864,1.4887,1.4905,1.4931,1.4919,1.4929,1.4987,1.496,1.4965,1.4973,1.4941,1.4937,1.5043,1.505,1.5066,1.4894,1.4886,1.4871,1.4861,1.486,1.4901,1.4955,1.4992,1.5088,1.5173,1.5141,1.5222,1.5196,1.523,1.5187,1.5148,1.5147,1.5066,1.5068,1.5007,1.5007,1.5118,1.5178,1.5177,1.5192,1.5152,1.5257,1.5375,1.5339,1.5245,1.54,1.548,1.5538,1.5524,1.5526,1.5569,1.5568,1.5608,1.5558,1.5429,1.541,1.5419,1.543,1.5404,1.5338,1.5426,1.5498,1.5688,1.5787,1.5883,1.5862,1.5769,1.604,1.6087,1.6114,1.6019,1.6183,1.6164,1.619,1.6179,1.6205,1.6193,1.6105,1.6166,1.6106,1.604,1.6199,1.6233,1.619,1.6223,1.6239,1.6316,1.6362,1.6476,1.6575,1.6661,1.6664,1.6678,1.6706,1.6748,1.681,1.6839,1.6804,1.686,1.6851,1.687,1.6875,1.6943,1.6956,1.7017,1.7044,1.7056,1.7083,1.7146,1.7126,1.7123,1.7169,1.7207,1.7225,1.7287,1.7305,1.7334,1.7341,1.7385,1.7529,1.7576,1.7604,1.7608,1.7619,1.7657,1.7678,1.7694,1.7667,1.7753,1.7783,1.7738,1.7761,1.7783,1.7898,1.7926,1.8049,1.8141,1.8239,1.833,1.8377,1.8331,1.837,1.8294,1.8194,1.8232,1.8182,1.818,1.7945,1.773,1.7561,1.7636,1.7468,1.7639,1.7573,1.7758,1.7824,1.791,1.7826,1.8039,1.8172,1.8235,1.8299,1.8284,1.8103,1.814,1.8167,1.83,1.8274,1.8178,1.8289,1.8201,1.831,1.8338,1.8482,1.846,1.8375,1.8408,1.8389,1.8492,1.8517,1.8621,1.8658,1.8664,1.8685,1.8598,1.8772,1.8889,1.8938,1.8961,1.9034,1.9082,1.9223,1.9139,1.9382,1.934,1.9401,1.941,1.9518,1.9417,1.9488,1.9617,1.9556,1.9497,1.9646,1.9661,1.9667,1.9705,1.9722,1.9769,1.9774,1.976,1.983,1.992,2.0006,2.0074,2.0131,2.0153,2.0276,2.0331,2.0497,2.0617,2.0452,2.0503,2.0581,2.0636,2.0921,2.1069,2.1057,2.1038,2.1052,2.1064,2.1044,2.1096,2.0987,2.1088,2.1095,2.1166,2.122,2.1237,2.1234,2.1182,2.1086,2.1201,2.1314,2.1337,2.1198,2.1128,2.1371,2.1291,2.1345,2.1394,2.1389,2.1363,2.1436,2.1463,2.159,2.1635,2.162,2.1628,2.1641,2.1737,2.1746,2.1916,2.199,2.2041,2.2062,2.2043,2.2025,2.204,2.2021,2.2005,2.2062,2.2125,2.2158,2.2219,2.227,2.2331,2.2292,2.2384,2.246,2.249,2.2522,2.2482,2.2384,2.2632,2.2611,2.2716,2.2784,2.2909,2.3007,2.3007,2.3059,2.3097,2.314,2.3188,2.3186,2.3215,2.3238,2.3311,2.3356,2.3417,2.3484,2.3626,2.3754,2.3789,2.388,2.3885,2.3941,2.3989,2.4001,2.4058,2.4178,2.4176,2.4257,2.4294,2.4423,2.4439,2.4488,2.4537,2.4534,2.4686,2.4872,2.5075,2.5037,2.4898,2.4769,2.4755,2.483,2.4984,2.5026,2.5036,2.5095,2.5153,2.4962,2.5022,2.4999,2.502,2.4923,2.5021,2.5126,2.5171,2.5095,2.5204,2.5189,2.5165,2.5164,2.5261,2.532,2.5488,2.5567,2.5791,2.5795,2.5839,2.5811,2.5787,2.5942,2.6078,2.6086,2.6217,2.6147,2.6186,2.6195,2.6347,2.6362,2.6309,2.6201,2.6232,2.6206,2.6301,2.6339,2.6344,2.6378,2.6345,2.6266,2.6328,2.6303,2.6277,2.6276,2.6249,2.6281,2.629,2.6261,2.63,2.6383,2.6173,2.6247,2.6272,2.6217,2.6219,2.6265,2.6384,2.6373,2.6458,2.6703,2.6562,2.6377,2.6292,2.6307,2.636,2.6344,2.6373,2.6334,2.6287,2.6379,2.6408,2.6325,2.6381,2.6479,2.6512,2.6577,2.6629,2.6696,2.66,2.6668,2.6701,2.6664,2.6609,2.6664,2.668,2.678,2.6925,2.6998,2.7084,2.7268,2.7373,2.7286,2.7337,2.7397,2.7572,2.7694,2.7847,2.7867,2.7876,2.7941,2.7951,2.8021,2.8129,2.8315,2.8425,2.843,2.8487,2.8492,2.8602,2.8649,2.8671,2.8617,2.8513,2.8512,2.8541,2.8552,2.8647,2.8827,2.9033,2.9218,2.9346,2.9476,2.9583,2.9563,2.9781,2.994,3.0131,2.9994,3.025,3.0444,3.0381,3.0448,3.058,3.0625,3.0591,3.0455,3.0552,3.0731,3.0724,3.0824,3.0906,3.0994,3.0948,3.1029,3.1097,3.1128,3.0901,3.08,3.1009,3.1079,3.1238,3.1193,3.1278,3.1357,3.1368,3.1874,3.2002,3.2002,3.2011,3.2349,3.1731,3.1564,3.1838,3.1651,3.1529,3.2238,3.2656,3.2775,3.3062,3.2791,3.2994,3.3012,3.3566,3.3736,3.3815,3.3927,3.4145,3.4447,3.4383,3.4478,3.4551,3.4547,3.4347,3.4215,3.4058,3.4441,3.4125,3.4285,3.4268,3.4454,3.4651,3.4603,3.4805,3.4765,3.4946,3.4958,3.5053,3.5005,3.5115,3.5088,3.5225,3.5216,3.5302,3.541,3.5144,3.5158,3.5163,3.4857,3.495,3.4765,3.4667,3.4517,3.4539,3.4721,3.4909,3.4855,3.5103,3.5116,3.5334,3.5441,3.5522,3.5495,3.5604,3.566,3.5665,3.5859,3.5652,3.553,3.5489,3.5583,3.5701,3.5698,3.5684,3.5678,3.5744,3.5839,3.5889,3.6097,3.6095,3.6112,3.6093,3.609,3.6126,3.6267,3.6201,3.6186,3.6256,3.6374,3.6442,3.6447,3.6414,3.6493,3.6487,3.6375,3.6441,3.6357,3.6453,3.6401,3.6349,3.6289,3.6712,3.6742,3.6612,3.6567,3.6583,3.6782,3.6726,3.6784,3.6524,3.6274,3.6345,3.6372,3.564,3.5881,3.5829,3.5971,3.5802,3.5834,3.5769,3.5961,3.5984,3.6138,3.6188,3.6375,3.6557,3.6631,3.679,3.6836,3.6829,3.6739,3.6937,3.6593,3.6417,3.6537,3.6539,3.6481,3.6514,3.6707,3.6685,3.7119,3.7196,3.7266,3.747,3.7375,3.746,3.7396,3.7456,3.7477,3.7755,3.7774,3.7729,3.7919,3.7744,3.7666,3.7614,3.7699,3.7711,3.8038,3.8231,3.8263,3.8535,3.8597,3.8665,3.8755,3.8916,3.8955,3.8975,3.905,3.9161,3.9094,3.9173,3.9097,3.9116,3.9118,3.9294,3.9348,3.93,3.9297,3.9316,3.9315,3.9386,3.9515,3.954,3.9651,3.9644,3.959,3.9391,3.9585,3.9633,3.9671,3.9815,3.9926,4.008,4.0064,4.0187,4.0313,4.0649,4.066,4.0783,4.0761,4.0885,4.094,4.0979,4.1185,4.107,4.1117,4.1198,4.1296,4.1417,4.1408,4.1418,4.1566,4.1646,4.1637,4.1581,4.1692,4.1782,4.1912,4.2048,4.2168,4.2167,4.2263,4.2359,4.2446,4.2456,4.2576,4.2668,4.2822,4.2926,4.3071,4.3156,4.3217,4.3315,4.3391,4.3455,4.3625,4.3731,4.382,4.3719,4.3829,4.3866,4.3832,4.3877,4.3952,4.3873,4.3953,4.4174,4.4284,4.4367,4.4274,4.4317,4.4415,4.4444,4.4531,4.4688,4.4795,4.4851,4.4859,4.4893,4.5004,4.5105,4.5165,4.5415,4.5568,4.5891,4.6052,4.6405,4.645,4.6591,4.6655,4.6934,4.7173,4.7201,4.7358,4.7104,4.71,4.7126,4.7309,4.733,4.7384,4.7335,4.737,4.7326,4.7218,4.714,4.7125,4.7353,4.7366,4.761,4.759,4.7767,4.7793,4.793,4.7935,4.788,4.7962,4.7996,4.7937,4.8045,4.8163,4.8009,4.7986,4.8087,4.8123,4.8101,4.8004,4.8192,4.8365,4.8415,4.8547,4.8627,4.8803,4.8748,4.8724,4.8523,4.8125,4.7864,4.8696,4.8834,4.8685,4.8581,4.8823,4.8507,4.8435,4.8668,4.9016,4.9366,4.9431,4.9605,4.9717,4.9815,4.974,4.9702,4.9861,5.0133,5.0173,4.9998,4.9969,5.0034,4.9882,4.9659,4.9607,4.9369,4.9401],"counterpart":[1.0,0.9906,0.9807,0.9909,0.9791,0.9797,0.9813,0.9816,0.9924,1.0022,1.0054,1.0153,1.0289,1.0262,1.0215,1.0223,1.0374,1.0444,1.0615,1.0718,1.0705,1.0681,1.0855,1.0916,1.1115,1.1056,1.1286,1.1312,1.1181,1.1038,1.0952,1.1026,1.1317,1.1589,1.175,1.1907,1.2121,1.1982,1.1974,1.2107,1.2332,1.2369,1.2499,1.2536,1.2573,1.2607,1.2486,1.2595,1.2838,1.2746,1.2857,1.2918,1.3287,1.3484,1.3396,1.3877,1.4032,1.4468,1.4841,1.3913,1.3662,1.3331,1.275,1.2513,1.2772,1.2953,1.3156,1.3423,1.3003,1.3251,1.3412,1.3579,1.3521,1.3636,1.3711,1.3721,1.3437,1.3625,1.3796,1.357,1.3684,1.3841,1.385,1.4155,1.4217,1.4187,1.4469,1.4576,1.445,1.4273,1.4176,1.4405,1.4387,1.4326,1.4466,1.467,1.4751,1.4748,1.4713,1.4535,1.4265,1.4131,1.4013,1.4317,1.4287,1.4208,1.4407,1.4574,1.4415,1.4518,1.4419,1.4496,1.4486,1.4636,1.4466,1.445,1.4604,1.4675,1.4742,1.5042,1.5195,1.4967,1.4912,1.4795,1.4543,1.4626,1.5021,1.5315,1.5389,1.5852,1.6044,1.6176,1.6464,1.6358,1.698,1.7289,1.7306,1.746,1.7283,1.7443,1.7783,1.7943,1.763,1.8296,1.8798,1.8876,1.8287,1.8266,1.8191,1.7969,1.8072,1.8189,1.8437,1.8138,1.8184,1.7931,1.785,1.7268,1.7498,1.7849,1.7567,1.7602,1.7765,1.8041,1.8192,1.7742,1.7496,1.7205,1.7361,1.7153,1.708,1.719,1.7334,1.7277,1.7213,1.6952,1.6793,1.676,1.6959,1.6864,1.6662,1.7194,1.7268,1.7071,1.7271,1.6403,1.5405,1.5877,1.5885,1.5863,1.6085,1.6556,1.6235,1.6777,1.7104,1.709,1.7716,1.707,1.693,1.6927,1.7442,1.7401,1.7811,1.7786,1.7744,1.7468,1.7404,1.7744,1.8038,1.8199,1.8317,1.8422,1.8902,1.8751,1.9128,1.9317,2.0463,2.1136,2.1461,2.1211,2.067,2.0912,2.0983,2.0153,2.1026,2.1453,2.1529,2.1358,2.1593,2.142,2.1891,2.2078,2.2312,2.2702,2.2579,2.2762,2.264,2.3027,2.2871,2.2229,2.2742,2.3196,2.3584,2.3511,2.4137,2.3789,2.3357,2.3718,2.3776,2.3929,2.4096,2.3676,2.331,2.303,2.3222,2.3399,2.345,2.3807,2.3626,2.3824,2.3622,2.3699,2.4024,2.3867,2.3863,2.4146,2.4203,2.4588,2.4225,2.449,2.4597,2.473,2.4947,2.5034,2.4948,2.4961,2.5101,2.5137,2.4766,2.4951,2.5272,2.5452,2.5405,2.5601,2.5828,2.6115,2.6246,2.636,2.6471,2.6677,2.6442,2.6474,2.6982,2.6902,2.654,2.6373,2.6733,2.6429,2.6652,2.6683,2.6965,2.6353,2.608,2.5997,2.5535,2.5551,2.5469,2.5791,2.5695,2.608,2.603,2.593,2.6344,2.6546,2.6796,2.6855,2.7054,2.7045,2.6517,2.6716,2.6462,2.6703,2.6787,2.6867,2.6649,2.67,2.6658,2.6956,2.7301,2.7386,2.7174,2.732,2.7871,2.8418,2.7818,2.8575,2.868,2.8537,2.8271,2.7707,2.7714,2.8095,2.7875,2.8379,2.8836,2.8901,2.8558,2.8268,2.9004,2.8821,2.7796,2.7961,2.76,2.8208,2.8458,2.8716,2.9212,2.9644,2.9734,3.013,3.0016,2.97,2.9637,2.95,2.9475,2.9484,2.9549,2.9745,2.9882,2.9793,2.9611,2.9065,2.9149,2.9248,2.9235,2.9768,3.0197,3.0198,3.0326,3.0484,3.0218,3.0202,3.018,3.0354,3.0555,3.0714,3.0972,3.0738,3.1158,3.1792,3.1951,3.1952,3.1971,3.1923,3.1987,3.1759,3.1803,3.2112,3.2062,3.2209,3.2545,3.2503,3.2454,3.2264,3.2414,3.2723,3.2674,3.2791,3.2777,3.2495,3.2468,3.2278,3.1978,3.1717,3.2065,3.1991,3.1664,3.1697,3.1395,3.1353,3.0742,3.148,3.1698,3.1878,3.1848,3.1571,3.1823,3.1931,3.1586,3.1019,3.0693,3.105,3.1417,3.1341,3.1209,3.0801,3.0751,3.14,3.1699,3.1878,3.1881,3.1798,3.2261,3.1869,3.2125,3.2527,3.3071,3.3336,3.3228,3.2895,3.2952,3.283,3.3056,3.3068,3.2785,3.2928,3.2897,3.3037,3.2825,3.299,3.3063,3.2761,3.2791,3.2852,3.3225,3.3376,3.3818,3.3762,3.3616,3.3521,3.3551,3.4057,3.4218,3.4417,3.4281,3.4524,3.4844,3.511,3.4578,3.5365,3.5299,3.5627,3.57,3.6153,3.5649,3.5978,3.6068,3.5839,3.5929,3.6259,3.6354,3.6447,3.657,3.6606,3.6495,3.6242,3.6219,3.617,3.6191,3.6708,3.6755,3.6729,3.6965,3.741,3.7511,3.7736,3.7441,3.7278,3.7351,3.7651,3.7633,3.8449,3.9155,3.8968,3.8726,3.8728,3.861,3.8493,3.8749,3.8012,3.7977,3.7907,3.8192,3.8724,3.8485,3.8082,3.8027,3.7837,3.8266,3.8571,3.8407,3.7738,3.7532,3.8151,3.8081,3.8199,3.8054,3.8293,3.7667,3.7768,3.7959,3.8362,3.8605,3.7928,3.7423,3.745,3.7904,3.7815,3.7771,3.8412,3.8736,3.8777,3.8335,3.7871,3.7606,3.764,3.7655,3.7452,3.7241,3.7401,3.768,3.7837,3.7783,3.7202,3.7466,3.7922,3.8255,3.8354,3.8447,3.8246,3.9225,3.9064,3.9258,3.9484,3.9595,3.9468,3.9799,4.0125,4.0361,4.0271,4.038,4.0174,4.0261,4.0286,4.0584,4.101,4.1422,4.1934,4.2148,4.2361,4.2377,4.2715,4.295,4.282,4.3058,4.2853,4.3054,4.3467,4.3169,4.3532,4.3183,4.2821,4.2649,4.2966,4.2966,4.2813,4.2524,4.172,4.1673,4.1418,4.1456,4.0776,4.0425,4.107,4.1571,4.211,4.2166,4.2525,4.291,4.2937,4.3174,4.328,4.3153,4.2796,4.331,4.3461,4.3539,4.3736,4.4021,4.4037,4.4114,4.376,4.3939,4.4173,4.4471,4.4654,4.4959,4.4764,4.4732,4.4698,4.46,4.4941,4.5298,4.551,4.5698,4.5199,4.5598,4.5511,4.6275,4.6566,4.6587,4.6066,4.5883,4.6058,4.655,4.6542,4.6699,4.6985,4.6914,4.681,4.7045,4.6551,4.6465,4.6553,4.6983,4.7367,4.7569,4.7888,4.8063,4.8518,4.7728,4.7314,4.7649,4.7486,4.7385,4.7085,4.7162,4.7038,4.7236,4.7696,4.7978,4.8177,4.8214,4.7967,4.8301,4.7741,4.7897,4.7744,4.7927,4.8065,4.7736,4.74,4.7588,4.7684,4.7508,4.7957,4.8023,4.8154,4.8109,4.838,4.8941,4.8811,4.8715,4.8236,4.7564,4.7281,4.7767,4.7681,4.7469,4.8225,4.8468,4.8086,4.7902,4.8036,4.8259,4.8732,4.8707,4.9031,4.8964,4.9235,4.9383,4.92,4.9806,4.9803,4.9596,4.9785,4.9828,4.9809,5.0305,5.036,5.0467,5.0471,5.0407,5.0386,5.049,5.0137,4.9878,5.014,5.0811,5.1291,5.152,5.1714,5.2038,5.22,5.265,5.2303,5.2502,5.2085,5.2103,5.3318,5.3275,5.305,5.3837,5.3655,5.3572,5.3692,5.408,5.3995,5.4109,5.4774,5.5019,5.5501,5.5055,5.5164,5.5258,5.5371,5.5049,5.5014,5.5486,5.5938,5.6618,5.65,5.6896,5.6974,5.6426,5.7409,5.7475,5.7891,5.6934,5.7743,5.4594,5.2282,5.2188,5.14,5.2785,5.3575,5.3633,5.4662,5.4015,5.3739,5.3716,5.4478,5.8066,5.8336,5.8847,5.9461,5.9903,6.0737,6.0758,6.2085,6.3243,6.4598,6.3028,6.2944,6.2855,6.2595,6.2705,6.314,6.1454,6.2438,6.3296,6.3083,6.3619,6.3051,6.4708,6.4809,6.4848,6.4466,6.5186,6.5447,6.6309,6.614,6.6684,6.7617,6.7036,6.6746,6.5833,6.6553,6.7112,6.634,6.5997,6.5681,6.5745,6.5599,6.5328,6.5984,6.6897,6.6787,6.6807,6.7366,6.7791,6.76,6.8507,6.9342,6.983,7.0501,6.9277,6.9427,6.9511,6.9767,7.0449,7.0085,7.0336,7.0549,7.042,7.0478,7.0957,7.2155,7.2264,7.2336,7.2583,7.2309,7.3247,7.4571,7.3701,7.3195,7.3566,7.4694,7.4313,7.2813,7.2734,7.3463,7.2967,7.2671,7.3107,7.3574,7.4466,7.3865,7.2817,7.345,7.3777,7.4093,7.3534,7.3498,7.4407,7.4869,7.4921,7.5561,7.5819,7.5937,7.5259,7.4909,7.3186,7.1716,7.2599,7.2799,7.2729,7.2462,7.1294,7.1795,7.194,7.2719,7.2434,7.3685,7.4675,7.5418,7.6049,7.6077,7.574,7.5233,7.5963,7.4579,7.4393,7.4343,7.5389,7.4315,7.4595,7.5001,7.5678,7.7099,7.7261,7.7436,7.8435,7.8252,7.8054,7.74,7.804,7.8187,7.888,7.917,7.8415,7.8994,7.8633,7.8155,7.7436,7.7778,7.7449,7.8437,7.9027,7.9505,8.0407,8.086,8.046,8.1085,8.1892,8.2024,8.164,8.2062,8.2479,8.2359,8.2746,8.1883,8.2406,8.2874,8.3656,8.3983,8.4018,8.3868,8.3698,8.3317,8.3604,8.4439,8.4991,8.5294,8.4667,8.4092,8.3362,8.4467,8.529,8.4692,8.5285,8.5577,8.6083,8.6693,8.8152,8.9041,9.0029,8.9826,9.1052,9.0838,9.1104,9.0918,9.0636,9.1926,9.1683,9.1611,9.2026,9.2592,9.3898,9.3129,9.3676,9.4656,9.6685,9.8215,9.7773,9.81,9.7716,9.8006,9.9207,9.9238,9.8845,9.9765,10.0469,10.0975,10.107,10.2192,10.2616,10.2563,10.0851,10.1956,10.1107,10.1862,10.2898,10.3718,10.333,10.4702,10.5643,10.6933,10.5533,10.5554,10.6186,10.4907,10.6198,10.4965,10.2067,10.4539,10.4895,10.5719,10.624,10.3831,10.448,10.5391,10.4323,10.4718,10.4843,10.6106,10.7388,10.652,10.6599,10.5027,10.6398,10.634,10.8866,10.9482,10.9398,11.097,11.3358,11.3925,11.3523,11.4189,11.4737,11.5924,11.5936,11.7354,11.7698,11.7918,11.7337,11.7947,11.7754,11.8117,11.7798,11.7186,11.8115,11.7961,11.8063,11.8592,12.115,12.3261,12.3908,12.4275,12.6504,12.8997,13.3566,13.2357,12.9461,12.9018,13.1682,13.0593,13.2464,13.3394,13.4666,13.441,13.6686,13.6419,13.6055,13.751,14.0579,14.4001,14.1306,14.1568,14.2384,14.351,14.1968,13.9934,13.5787,13.3386,13.424,13.8849,14.0435,13.9437,13.9398,14.0676,14.1728,14.1817,14.1529,14.085,13.9235,13.9415,13.7936,14.0382,13.961,13.8772,13.8837,13.9697,14.2759,14.3436,14.5838,14.5486,14.3564,14.1734,14.2006,14.0912,13.8093,13.875]}}