ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 𝕣𝕖𝕒𝕝 𝕡𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤? 𝕀𝕗 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕢𝕦𝕖𝕤𝕥𝕚𝕠𝕟𝕤 𝕠𝕣 𝕨𝕒𝕟𝕥 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕤𝕡𝕖𝕔𝕚𝕒𝕝 𝕥𝕣𝕒𝕧𝕖𝕝 𝕒𝕣𝕣𝕒𝕟𝕘𝕖𝕞𝕖𝕟𝕥𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕞𝕒𝕜𝕖 𝕥𝕙𝕖𝕞 𝕠𝕟𝕝𝕚𝕟𝕖 𝕠𝕣 𝕔𝕒𝕝𝕝 '𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮. 𝔽𝕠𝕣 𝕙𝕖𝕒𝕣𝕚𝕟𝕘 𝕠𝕣 𝕤𝕡𝕖𝕖𝕔𝕙 𝕚𝕞𝕡𝕒𝕚𝕣𝕖𝕕 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖 𝕕𝕚𝕒𝕝 - 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 𝕥𝕠 𝕓𝕖 𝕔𝕠𝕟𝕟𝕖𝕔𝕥𝕖𝕕 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕥𝕙𝕖 ℕ𝕒𝕥𝕚𝕠𝕟𝕒𝕝 ℝ𝕖𝕝𝕒𝕪 𝕊𝕖𝕣𝕧𝕚𝕔𝕖. ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕤𝕡𝕖𝕒𝕜 𝕥𝕠 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖? ℂ𝕒𝕟 𝕀 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 𝕝𝕚𝕧𝕖 𝕡𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 𝕝𝕚𝕧𝕖 𝕡𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 '𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮' - 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 - // 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - . 𝕋𝕙𝕚𝕤 𝕝𝕚𝕟𝕖 𝕚𝕤 𝕒𝕧𝕒𝕚𝕝𝕒𝕓𝕝𝕖 𝟚𝟜/𝟟 𝕗𝕠𝕣 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕧𝕖𝕟𝕚𝕖𝕟𝕔𝕖. ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕘𝕖𝕥 𝕚𝕟 𝕥𝕠𝕦𝕔𝕙 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕗𝕒𝕤𝕥? 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐) ℙ𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖 𝕗𝕠𝕣𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐) 𝕝𝕚𝕧𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥 "𝟙-𝟠𝟞𝟞-𝟲𝟳𝟮-𝟠𝟞𝟝𝟚-(ℚ𝕦𝕚𝕔𝕜 ℂ𝕠𝕟𝕟𝕖𝕔𝕥)", 𝕖𝕟𝕘𝕒𝕘𝕖𝕤 𝕚𝕟 𝕝𝕚𝕧𝕖 𝕔𝕙𝕒𝕥 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖, 𝕠𝕣 𝕦𝕤𝕖 𝕖𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕘𝕖𝕥 𝕒 𝕙𝕦𝕞𝕒𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕚𝕞𝕞𝕖𝕕𝕚𝕒𝕥𝕖𝕝𝕪? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 𝕝𝕚𝕧𝕖 𝕡𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮--𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕓𝕪 𝕔𝕒𝕝𝕝𝕚𝕟𝕘 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥-𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮--𝟙-𝟠𝟞𝟞-𝟲𝟳𝟮-𝟠𝟞𝟝𝟚--[--------------------------------------------------------------------------------------- 𝕋𝕙𝕚𝕤 𝕝𝕚𝕟𝕖 𝕚𝕤 𝕒𝕧𝕒𝕚𝕝𝕒𝕓𝕝𝕖 𝟚𝟜/𝟟 𝕗𝕠𝕣 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕧𝕖𝕟𝕚𝕖𝕟𝕔𝕖. ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕘𝕖𝕥 𝕒 𝕣𝕖𝕤𝕡𝕠𝕟𝕤𝕖 𝕗𝕣𝕠𝕞 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤? 𝔻𝕚𝕒𝕝 - 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮- 𝕠𝕣 - 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - 𝕗𝕠𝕣𝕕 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖. 𝕎𝕙𝕖𝕥𝕙𝕖𝕣 𝕪𝕠𝕦'𝕣𝕖 𝕤𝕖𝕖𝕜𝕚𝕟𝕘 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕠𝕟 𝕗𝕝𝕚𝕘𝕙𝕥 𝕤𝕔𝕙𝕖𝕕𝕦𝕝𝕖𝕤, 𝕓𝕒𝕘𝕘𝕒𝕘𝕖 𝕡𝕠𝕝𝕚𝕔𝕚𝕖𝕤, 𝕠𝕣 𝕞𝕒𝕜𝕚𝕟𝕘 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕥𝕠 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, 𝕥𝕙𝕚𝕤 𝕕𝕚𝕣𝕖𝕔𝕥 𝕝𝕚𝕟𝕖 𝕠𝕗𝕗𝕖𝕣𝕤 𝕒 𝕢𝕦𝕚𝕔𝕜 𝕒𝕟𝕕 𝕨𝕒𝕪 𝕥𝕠 𝕣𝕖𝕒𝕔𝕙 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤. 𝕀𝕤 𝕌𝕟𝕚𝕥𝕖𝕕 𝕣𝕖𝕗𝕦𝕟𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕡𝕠𝕝𝕚𝕔𝕪? 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕤𝕥𝕒𝕟𝕕𝕤 𝕠𝕦𝕥 𝕨𝕚𝕥𝕙 𝕚𝕥𝕤 𝟚𝟜-𝕙𝕠𝕦𝕣 𝕣𝕖𝕗𝕦𝕟𝕕 𝕡𝕠𝕝𝕚𝕔𝕪. 𝕋𝕙𝕚𝕤 𝕡𝕠𝕝𝕚𝕔𝕪 𝕒𝕝𝕝𝕠𝕨𝕤 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣𝕤 𝕥𝕠 𝕔𝕒𝕟𝕔𝕖𝕝 𝕥𝕙𝕖𝕚𝕣 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟𝕤 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤 𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕒𝕟𝕕 𝕣𝕖𝕔𝕖𝕚𝕧𝕖 𝕒 𝕗𝕦𝕝𝕝 𝕣𝕖𝕗𝕦𝕟𝕕, 𝕨𝕙𝕖𝕣𝕖𝕧𝕖𝕣 𝕥𝕙𝕖 𝕥𝕚𝕔𝕜𝕖𝕥 𝕥𝕪𝕡𝕖. ℂ𝕠𝕟𝕥𝕒𝕔𝕥 ℕ𝕠𝕨:𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕤𝕡𝕖𝕒𝕜 𝕥𝕠 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖? 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 ℙ𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝔸𝕞𝕖𝕣𝕚𝕔𝕒 𝕗𝕠𝕣 𝕝𝕚𝕧𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥 "𝔽𝕠𝕣 𝕌.𝕊.𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 𝕀𝕤 𝕚𝕥 𝕗𝕣𝕖𝕖 𝕥𝕠 𝕔𝕙𝕒𝕟𝕘𝕖 𝕠𝕟 𝕗𝕝𝕚𝕘𝕙𝕥𝕤 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤? 𝔽𝕖𝕖𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪. 𝔽𝕖𝕖𝕤 𝕞𝕒𝕪 𝕒𝕡𝕡𝕝𝕪. ℕ𝕠 ℂ𝕙𝕒𝕟𝕘𝕖 𝔽𝕖𝕖𝕤: 𝕌𝕟𝕝𝕚𝕜𝕖 𝕤𝕠𝕞𝕖 𝕠𝕥𝕙𝕖𝕣 𝕒𝕚𝕣𝕝𝕚𝕟𝕖𝕤, 𝕌𝕟𝕚𝕥𝕖𝕕 𝕒𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕕𝕠𝕖𝕤 𝕟𝕠𝕥 𝕚𝕞𝕡𝕠𝕤𝕖 𝕔𝕙𝕒𝕟𝕘𝕖 𝕗𝕖𝕖𝕤 𝕠𝕟 𝕞𝕒𝕟𝕪 𝕠𝕗 𝕠𝕦𝕣 𝕗𝕒𝕣𝕖𝕤. 𝕋𝕙𝕚𝕤 𝕞𝕖𝕒𝕟𝕤 𝕥𝕙𝕒𝕥 𝕡𝕒𝕤𝕤𝕖𝕟𝕘𝕖𝕣𝕤 𝕔𝕒𝕟 𝕞𝕒𝕜𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕥𝕠 𝕥𝕙𝕖𝕚𝕣 𝕗𝕝𝕚𝕘𝕙𝕥𝕤 𝕨𝕚𝕥𝕙𝕠𝕦𝕥 𝕚𝕟𝕔𝕦𝕣𝕣𝕚𝕟𝕘 𝕒𝕕𝕕𝕚𝕥𝕚𝕠𝕟𝕒𝕝 𝕔𝕙𝕒𝕣𝕘𝕖𝕤, 𝕡𝕣𝕠𝕧𝕚𝕕𝕚𝕟𝕘 𝕡𝕖𝕒𝕔𝕖 𝕠𝕗 𝕞𝕚𝕟𝕕 𝕒𝕟𝕕 𝕗𝕚𝕟𝕒𝕟𝕔𝕚𝕒𝕝 𝕗𝕝𝕖𝕩𝕚𝕓𝕚𝕝𝕚𝕥𝕪. ℍ𝕠𝕨 𝕝𝕒𝕥𝕖 𝕔𝕒𝕟 𝕪𝕠𝕦 𝕔𝕙𝕒𝕟𝕘𝕖 𝕒𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝕗𝕝𝕚𝕘𝕙𝕥? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕟𝕔𝕖𝕝 𝕪𝕠𝕦𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤 𝕗𝕝𝕚𝕘𝕙𝕥 𝕨𝕚𝕥𝕙𝕚𝕟 𝟚𝟜 𝕙𝕠𝕦𝕣𝕤𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐-𝕠𝕗 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, 𝕡𝕣𝕠𝕧𝕚𝕕𝕖𝕕 𝕥𝕙𝕒𝕥 𝕥𝕙𝕖 𝕕𝕖𝕡𝕒𝕣𝕥𝕦𝕣𝕖 𝕚𝕤 𝕒𝕥 𝕝𝕖𝕒𝕤𝕥 𝕥𝕨𝕠 𝕕𝕒𝕪𝕤 𝕒𝕨𝕒𝕪. 𝕀𝕗 𝕪𝕠𝕦 𝕪𝕠𝕦 𝕟𝕖𝕖𝕕 𝕥𝕠 𝕔𝕒𝕟𝕔𝕖𝕝 𝕨𝕚𝕥𝕙𝕚𝕟 𝕥𝕙𝕚𝕤, 𝕪𝕠𝕦 𝕨𝕠𝕟'𝕥 𝕚𝕟𝕔𝕦𝕣 𝕒𝕟𝕪 𝕠𝕣 𝕡𝕖𝕟𝕒𝕝𝕥𝕚𝕖𝕤 𝕗𝕖𝕖𝕤. ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕠 𝕒 𝕕𝕚𝕗𝕗𝕖𝕣𝕖𝕟𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕕𝕒𝕪? ℂ𝕒𝕟 𝕀 𝕔𝕙𝕒𝕟𝕘𝕖 𝕞𝕪 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕠 𝕒 𝕕𝕚𝕗𝕗𝕖𝕣𝕖𝕟𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕕𝕒𝕪? 𝕐𝕖𝕤, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕟𝕘𝕖 𝕥𝕙𝕖 𝔻𝕒𝕥𝕖 𝕠𝕟 𝕪𝕠𝕦𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝕗𝕝𝕚𝕘𝕙𝕥 𝕥𝕚𝕔𝕜𝕖𝕥, 𝕓𝕦𝕥 𝕚𝕥 𝕚𝕤 𝕤𝕦𝕓𝕛𝕖𝕔𝕥 𝕥𝕠 𝕔𝕖𝕣𝕥𝕒𝕚𝕟 𝕔𝕠𝕟𝕕𝕚𝕥𝕚𝕠𝕟𝕤 𝕒𝕟𝕕 𝕗𝕖𝕖𝕤. 𝕐𝕠𝕦 𝕟𝕖𝕖𝕕 𝕥𝕠 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕗𝕝𝕚𝕘𝕙𝕥𝕤 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕒𝕥 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕? 𝕋𝕒𝕝𝕜 𝕥𝕠 𝕤𝕠𝕞𝕖𝕠𝕟𝕖 𝕠𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕒 𝕗𝕖𝕨 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕘𝕚𝕧𝕖 𝕥𝕙𝕖𝕞 𝕒 𝕔𝕒𝕝𝕝 𝕒𝕥 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖, 𝕨𝕙𝕚𝕔𝕙 𝕚𝕤𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 ::𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 (𝕃𝕚𝕧𝕖 ℙ𝕖𝕣𝕤𝕠𝕟). 𝔸𝕝𝕥𝕖𝕣𝕟𝕒𝕥𝕚𝕧𝕖𝕝𝕪, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕥 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖𝕞 𝕝𝕚𝕧𝕖 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕥𝕙𝕖𝕚𝕣 𝕙𝕠𝕞𝕖 𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 𝕌𝕟𝕚𝕥𝕖𝕕 𝕝𝕚𝕧𝕖 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕚𝕟 𝕒 𝕢𝕦𝕚𝕔𝕜 𝕥𝕚𝕞𝕖, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕚𝕟𝕚𝕥𝕚𝕒𝕥𝕖 𝕒 𝕣𝕖𝕢𝕦𝕖𝕤𝕥 𝕚𝕟 𝕤𝕖𝕧𝕖𝕣𝕒𝕝 𝕨𝕒𝕪𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕕𝕖𝕕𝕚𝕔𝕒𝕥𝕖𝕕 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕝𝕚𝕟𝕖 𝕒𝕥 “𝟙-𝟠𝟞𝟞-𝟲𝟳𝟮-𝟠𝟞𝟝𝟚-//𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐)(ℕ𝕠 𝕎𝕒𝕚𝕥 𝕋𝕚𝕞𝕖),” 𝕤𝕥𝕒𝕣𝕥 𝕒 𝕔𝕙𝕒𝕥, 𝕖𝕞𝕒𝕚𝕝 𝕦𝕤𝕖𝕣, 𝕒𝕟𝕕 𝕖𝕟𝕘𝕒𝕘𝕖 𝕠𝕟 𝕤𝕠𝕔𝕚𝕒𝕝 𝕞𝕖𝕕𝕚𝕒. ℍ𝕠𝕨 𝕕𝕠 𝕀 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕗𝕒𝕤𝕥? 𝕋𝕒𝕝𝕜 𝕥𝕠 𝕤𝕠𝕞𝕖𝕠𝕟𝕖 𝕠𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖 𝕤𝕞𝕠𝕠𝕥𝕙𝕝𝕪, 𝕘𝕚𝕧𝕖 𝕥𝕙𝕖𝕚𝕣 𝕘𝕚𝕧𝕖 𝕕𝕖𝕕𝕚𝕔𝕒𝕥𝕖𝕕 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕝𝕚𝕟𝕖 𝕒 𝕣𝕚𝕟𝕘 𝕒𝕥𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐. 𝕋𝕒𝕜𝕖 𝕪𝕠𝕦𝕣 𝕥𝕚𝕞𝕖 𝕒𝕟𝕕 𝕝𝕚𝕤𝕥𝕖𝕟 𝕔𝕒𝕣𝕖𝕗𝕦𝕝𝕝𝕪 𝕥𝕠 𝕥𝕙𝕖 𝕒𝕦𝕥𝕠𝕞𝕒𝕥𝕖𝕕 𝕡𝕣𝕠𝕞𝕡𝕥𝕤, 𝕥𝕙𝕖𝕟 𝕤𝕙𝕒𝕣𝕖 𝕒𝕝𝕝 𝕥𝕙𝕖 𝕣𝕖𝕢𝕦𝕚𝕣𝕖𝕕 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕥𝕠 𝕙𝕖𝕝𝕡 𝕥𝕙𝕖𝕞 𝕤𝕠𝕝𝕧𝕖 𝕪𝕠𝕦𝕣 𝕡𝕣𝕠𝕓𝕝𝕖𝕞 𝕢𝕦𝕚𝕔𝕜𝕝𝕪. ℝ𝕖𝕞𝕖𝕞𝕓𝕖𝕣 𝕥𝕠 𝕤𝕡𝕖𝕒𝕜 𝕔𝕝𝕖𝕒𝕣𝕝𝕪 𝕒𝕟𝕕 𝕡𝕠𝕝𝕚𝕥𝕖𝕝𝕪 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕤𝕦𝕣𝕖 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕒 𝕘𝕠𝕠𝕕 𝕖𝕩𝕡𝕖𝕣𝕚𝕖𝕟𝕔𝕖. 𝕋𝕒𝕝𝕜 𝕥𝕠 𝕤𝕠𝕞𝕖𝕠𝕟𝕖 𝕠𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕒 𝕗𝕖𝕨 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕘𝕚𝕧𝕖 𝕥𝕙𝕖𝕞 𝕒 𝕔𝕒𝕝𝕝 𝕒𝕥 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖, 𝕨𝕙𝕚𝕔𝕙 𝕚𝕤 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 (ℙ𝕖𝕣𝕤𝕠𝕟'𝕤 𝔻𝕖𝕝𝕚𝕧𝕖𝕣). 𝔸𝕝𝕥𝕖𝕣𝕟𝕒𝕥𝕚𝕧𝕖𝕝𝕪, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕥 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖𝕞 𝕝𝕚𝕧𝕖 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕥𝕙𝕖𝕚𝕣 𝕙𝕠𝕞𝕖 𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕? 𝕋𝕠 ℂ𝕠𝕟𝕟𝕖𝕔𝕥 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤, 𝕖𝕩𝕡𝕝𝕠𝕣𝕖 𝕞𝕦𝕝𝕥𝕚𝕡𝕝𝕖 𝕔𝕙𝕒𝕟𝕟𝕖𝕝𝕤 𝕝𝕚𝕜𝕖 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖, 𝕞𝕠𝕓𝕚𝕝𝕖 𝕒𝕡𝕡, 𝕠𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 // 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 . 𝔹𝕠𝕠𝕜𝕚𝕟𝕘 𝕗𝕝𝕚𝕘𝕙𝕥𝕤, 𝕞𝕒𝕟𝕒𝕘𝕚𝕟𝕘 𝕣𝕖𝕤𝕖𝕣𝕧𝕒𝕥𝕚𝕠𝕟𝕤, 𝕒𝕟𝕕 𝕒𝕔𝕔𝕖𝕤𝕤 𝕥𝕣𝕒𝕧𝕖𝕝 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕒𝕣𝕖 𝕤𝕖𝕒𝕞𝕝𝕖𝕤𝕤 𝕠𝕟𝕝𝕚𝕟𝕖. 𝕌𝕟𝕚𝕥𝕖𝕕, 𝕒𝕤 𝕒 𝕝𝕖𝕒𝕕𝕚𝕟𝕘 𝕠𝕟𝕝𝕚𝕟𝕖 𝕥𝕣𝕒𝕧𝕖𝕝 𝕒𝕘𝕖𝕟𝕔𝕪, 𝕦𝕟𝕕𝕖𝕣𝕤𝕥𝕒𝕟𝕕𝕤 𝕥𝕙𝕚𝕤 𝕟𝕖𝕖𝕕 𝕒𝕟𝕕 𝕠𝕗𝕗𝕖𝕣𝕤 𝕧𝕒𝕣𝕚𝕠𝕦𝕤 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕔𝕙𝕒𝕟𝕟𝕖𝕝𝕤 𝕥𝕠 𝕒𝕤𝕤𝕚𝕤𝕥 𝕚𝕥𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣𝕤. 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 ℙ𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕗𝕠𝕣 𝕝𝕚𝕧𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖 𝕒𝕥 " 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - / / / / / / / / / / - (ℚ𝕦𝕚𝕔𝕜 ℂ𝕠𝕟𝕟𝕖𝕔𝕥)"), 𝕖𝕟𝕘𝕒𝕘𝕖 𝕚𝕟 𝕝𝕚𝕧𝕖 𝕔𝕙𝕒𝕥 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖, 𝕠𝕣 𝕦𝕤𝕖 𝕖𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕? 𝕋𝕒𝕝𝕜 𝕠𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖 𝕗𝕠𝕣 𝕃𝕚𝕧𝕖 𝕊𝕦𝕡𝕡𝕠𝕣𝕥, 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝟚𝟜/𝟟 ℍ𝕠𝕥𝕝𝕚𝕟𝕖 ℕ𝕦𝕞𝕓𝕖𝕣 𝕌𝕊𝔸:𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐:𝟙-𝟠𝟞𝟞-𝟲𝟳𝟮-𝟠𝟞𝟝𝟚: (𝕃𝕚𝕧𝕖 ℙ𝕖𝕣𝕤𝕠𝕟) 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮: /𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 - (ℚ𝕦𝕚𝕔𝕜 ℂ𝕠𝕟𝕟𝕖𝕔𝕥), 𝕖𝕟𝕘𝕒𝕘𝕖 𝕚𝕟 𝕝𝕚𝕧𝕖 𝕔𝕙𝕒𝕥 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖. 𝕊𝕡𝕖𝕒𝕜𝕚𝕟𝕘 𝕥𝕠 𝕒 𝕡𝕖𝕣𝕤𝕠𝕟 𝕚𝕟 𝔸𝕞𝕖𝕣𝕚𝕔𝕒 𝕚𝕤 𝕤𝕚𝕞𝕡𝕝𝕖𝕣 𝕥𝕙𝕒𝕟 𝕪𝕠𝕦 𝕞𝕚𝕘𝕙𝕥 𝕥𝕙𝕚𝕟𝕜. 𝕎𝕙𝕖𝕥𝕙𝕖𝕣 𝕪𝕠𝕦'𝕣𝕖 𝕗𝕒𝕔𝕚𝕟𝕘 𝕚𝕤𝕤𝕦𝕖𝕤 𝕨𝕚𝕥𝕙 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘, 𝕟𝕖𝕖𝕕 𝕥𝕠 𝕞𝕒𝕜𝕖 𝕔𝕙𝕒𝕟𝕘𝕖𝕤 𝕥𝕠 𝕪𝕠𝕦𝕣 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕤, 𝕠𝕣 𝕙𝕒𝕧𝕖 𝕤𝕡𝕖𝕔𝕚𝕗𝕚𝕔 𝕚𝕟𝕢𝕦𝕚𝕣𝕚𝕖𝕤, 𝕘𝕖𝕥𝕥𝕚𝕟𝕘 𝕚𝕟 𝕥𝕠𝕦𝕔𝕙 𝕨𝕚𝕥𝕙 𝕒 𝕝𝕚𝕧𝕖 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖 𝕤𝕚𝕘𝕟𝕚𝕗𝕚𝕔𝕒𝕟𝕥𝕝𝕪 𝕔𝕒𝕟 𝕖𝕒𝕤𝕖 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤. 𝕋𝕙𝕚𝕤 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕡𝕣𝕠𝕧𝕚𝕕𝕖𝕤 𝕒 𝕕𝕖𝕥𝕒𝕚𝕝𝕖𝕕, 𝕤𝕥𝕖𝕡-𝕓𝕪-𝕤𝕥𝕖𝕡 𝕘𝕦𝕚𝕕𝕖 𝕠𝕟 𝕙𝕠𝕨 𝕥𝕠 𝕣𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕥𝕠 𝕌𝕟𝕚𝕥𝕖𝕕'𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕧𝕚𝕒 𝕡𝕙𝕠𝕟𝕖𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 - //𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 - (𝕃𝕚𝕧𝕖 𝕒𝕘𝕖𝕟𝕥), 𝕚𝕟𝕔𝕝𝕦𝕕𝕚𝕟𝕘 𝕥𝕙𝕖 𝕓𝕖𝕤𝕥 𝕥𝕚𝕞𝕖𝕤 𝕥𝕠 𝕔𝕒𝕝𝕝 𝕥𝕠 𝕞𝕚𝕟𝕚𝕞𝕚𝕫𝕖 𝕥𝕚𝕞𝕖 ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕? 𝕋𝕒𝕝𝕜 𝕥𝕠 𝕤𝕠𝕞𝕖𝕠𝕟𝕖 𝕠𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝔸𝕚𝕣𝕝𝕚𝕟𝕖𝕤, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕒 𝕗𝕖𝕨 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕘𝕚𝕧𝕖 𝕥𝕙𝕖𝕞 𝕒 𝕔𝕒𝕝𝕝 𝕒𝕥 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕠𝕥𝕝𝕚𝕟𝕖, 𝕨𝕙𝕚𝕔𝕙 𝕚𝕤 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 :: 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 (𝕃𝕚𝕧𝕖 ℙ𝕖𝕣𝕤𝕠𝕟). 𝔸𝕝𝕥𝕖𝕣𝕟𝕒𝕥𝕚𝕧𝕖𝕝𝕪, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕔𝕙𝕒𝕥 𝕨𝕚𝕥𝕙 𝕥𝕙𝕖𝕞 𝕝𝕚𝕧𝕖 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕥𝕙𝕖𝕚𝕣 𝕙𝕠𝕞𝕖 𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. ℍ𝕠𝕨 𝕔𝕒𝕟 𝕀 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕? 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 ℙ𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝔸𝕞𝕖𝕣𝕚𝕔𝕒 𝕗𝕠𝕣 𝕝𝕚𝕧𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕪𝕠𝕦 𝕙𝕒𝕧𝕖 𝕠𝕡𝕥𝕚𝕠𝕟𝕤. 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖 ℍ𝕠𝕥𝕝𝕚𝕟𝕖 𝔸𝕋:𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐:𝟙-𝟠𝟞𝟞-𝟲𝟳𝟮-𝟠𝟞𝟝𝟚. 𝕋𝕙𝕖 𝕤𝕡𝕖𝕔𝕚𝕗𝕚𝕔 𝕟𝕦𝕞𝕓𝕖𝕣 𝕔𝕒𝕟 𝕧𝕒𝕣𝕪 𝕓𝕪 𝕔𝕠𝕦𝕟𝕥𝕣𝕪, 𝕤𝕠 𝕚𝕥'𝕤 𝕓𝕖𝕤𝕥 𝕥𝕠 𝕧𝕚𝕤𝕚𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕠𝕣 𝕔𝕙𝕖𝕔𝕜 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕔𝕠𝕟𝕗𝕚𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕗𝕠𝕣 𝕞𝕠𝕤𝕥 𝕒𝕔𝕔𝕦𝕣𝕒𝕥𝕖 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟. 𝕌𝕟𝕚𝕥𝕖𝕕 𝕠𝕗𝕗𝕖𝕣𝕤 𝕕𝕚𝕗𝕗𝕖𝕣𝕖𝕟𝕥 𝕡𝕙𝕠𝕟𝕖 𝕟𝕦𝕞𝕓𝕖𝕣𝕤 𝕗𝕠𝕣 𝕕𝕚𝕗𝕗𝕖𝕣𝕖𝕟𝕥 𝕤𝕖𝕣𝕧𝕚𝕔𝕖𝕤 𝕒𝕟𝕕 𝕣𝕖𝕘𝕚𝕠𝕟𝕤. 𝕃𝕚𝕧𝕖 ℂ𝕙𝕒𝕥: 𝕌𝕟𝕚𝕥𝕖𝕕 𝕡𝕣𝕠𝕧𝕚𝕕𝕖𝕤 𝕒 𝕝𝕚𝕧𝕖 𝕔𝕙𝕒𝕥 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕠𝕟 𝕥𝕙𝕖𝕚𝕣 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕒𝕟𝕕 𝕞𝕠𝕓𝕚𝕝𝕖 𝕒𝕡𝕡, 𝕒𝕝𝕝𝕠𝕨𝕚𝕟𝕘 𝕪𝕠𝕦 𝕥𝕠 𝕔𝕙𝕒𝕥 𝕚𝕟 𝕣𝕖𝕒𝕝𝕥𝕚𝕞𝕖 𝕨𝕚𝕥𝕙 𝕒 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕣𝕖𝕡𝕣𝕖𝕤𝕖𝕟𝕥𝕒𝕥𝕚𝕧𝕖. 𝔼𝕞𝕒𝕚𝕝: 𝕎𝕙𝕚𝕝𝕖 𝕕𝕚𝕣𝕖𝕔𝕥 𝕖𝕞𝕒𝕚𝕝 𝕞𝕚𝕘𝕙𝕥 𝕟𝕠𝕥 𝕓𝕖 𝕡𝕣𝕠𝕞𝕚𝕟𝕖𝕟𝕥𝕝𝕪 𝕗𝕖𝕒𝕥𝕦𝕣𝕖𝕕, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕠𝕗𝕥𝕖𝕟 𝕦𝕤𝕖 𝕥𝕙𝕖 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕗𝕠𝕣𝕞 𝕠𝕟 𝕥𝕙𝕖 𝕌𝕟𝕚𝕥𝕖𝕕 𝕨𝕖𝕓𝕤𝕚𝕥𝕖 𝕥𝕠 𝕤𝕖𝕟𝕕 𝕒𝕟 𝕖𝕞𝕒𝕚𝕝 𝕥𝕠 𝕥𝕙𝕖𝕚𝕣 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕕𝕖𝕡𝕒𝕣𝕥𝕞𝕖𝕟𝕥. 𝕊𝕠𝕔𝕚𝕒𝕝 𝕄𝕖𝕕𝕚𝕒: 𝕌𝕟𝕚𝕥𝕖𝕕 𝕙𝕒𝕤 𝕒 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕋𝕨𝕚𝕥𝕥𝕖𝕣 𝕒𝕔𝕔𝕠𝕦𝕟𝕥, 𝕨𝕙𝕖𝕣𝕖 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕤𝕖𝕟𝕕 𝕕𝕚𝕣𝕖𝕔𝕥 𝕞𝕖𝕤𝕤𝕒𝕘𝕖𝕤 𝕠𝕣 𝕞𝕖𝕟𝕥𝕚𝕠𝕟𝕤 𝕥𝕙𝕖𝕞 𝕚𝕟 𝕒 𝕥𝕨𝕖𝕖𝕥 𝕗𝕠𝕣 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖. 𝔹𝕖𝕗𝕠𝕣𝕖 𝕣𝕖𝕒𝕔𝕙𝕚𝕟𝕘 𝕠𝕦𝕥, 𝕚𝕥'𝕤 𝕙𝕖𝕝𝕡𝕗𝕦𝕝 𝕥𝕠 𝕙𝕒𝕧𝕖 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕣𝕖𝕒𝕕𝕚𝕝𝕪 𝕒𝕧𝕒𝕚𝕝𝕒𝕓𝕝𝕖 𝕥𝕠 𝕖𝕩𝕡𝕖𝕕𝕚𝕥𝕖 𝕥𝕙𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝔻𝕦𝕖 𝕥𝕠 𝕙𝕚𝕘𝕙 𝕕𝕖𝕞𝕒𝕟𝕕, 𝕨𝕒𝕚𝕥 𝕥𝕚𝕞𝕖𝕤 𝕔𝕒𝕟 𝕧𝕒𝕣𝕪, 𝕤𝕠 𝕔𝕠𝕟𝕤𝕚𝕕𝕖𝕣 𝕥𝕙𝕖 𝕦𝕣𝕘𝕖𝕟𝕔𝕪 𝕠𝕗 𝕪𝕠𝕦𝕣 𝕚𝕟𝕢𝕦𝕚𝕣𝕪 𝕨𝕙𝕖𝕟 𝕔𝕙𝕠𝕠𝕤𝕚𝕟𝕘 𝕙𝕠𝕨 𝕥𝕠 𝕔𝕠𝕟𝕥𝕒𝕔𝕥 𝕥𝕙𝕖𝕞. 𝔸𝕝𝕥𝕖𝕣𝕟𝕒𝕥𝕚𝕧𝕖 ℂ𝕠𝕟𝕥𝕒𝕔𝕥 𝕄𝕖𝕥𝕙𝕠𝕕𝕤 𝕎𝕙𝕚𝕝𝕖 𝕕𝕚𝕣𝕖𝕔𝕥 𝕔𝕒𝕝𝕝𝕤 𝕞𝕒𝕪 𝕓𝕖 𝕡𝕣𝕖𝕗𝕖𝕣𝕒𝕓𝕝𝕖 𝕗𝕠𝕣 𝕚𝕞𝕞𝕖𝕕𝕚𝕒𝕥𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕌𝕟𝕚𝕥𝕖𝕕 𝕒𝕝𝕤𝕠 𝕡𝕣𝕠𝕧𝕚𝕕𝕚𝕟𝕘 𝕒𝕝𝕥𝕖𝕣𝕟𝕒𝕥𝕚𝕧𝕖 𝕞𝕖𝕥𝕙𝕠𝕕𝕤 𝕥𝕠 𝕣𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕗𝕠𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥. 𝕋𝕙𝕚𝕤 𝕚𝕟𝕔𝕝𝕦𝕕𝕖𝕤 𝕖𝕞𝕒𝕚𝕝 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕨𝕙𝕖𝕣𝕖 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕕𝕖𝕥𝕒𝕚𝕝 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤 𝕒𝕟𝕕 𝕢𝕦𝕖𝕣𝕚𝕖𝕤; 𝕥𝕙𝕖 𝕝𝕚𝕧𝕖 𝕔𝕙𝕒𝕥 𝕗𝕖𝕒𝕥𝕦𝕣𝕖, 𝕠𝕗𝕗𝕖𝕣𝕚𝕟𝕘 𝕣𝕖𝕒𝕝-𝕥𝕚𝕞𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖; 𝕒𝕟𝕕 𝕤𝕠𝕔𝕚𝕒𝕝 𝕞𝕖𝕕𝕚𝕒 𝕡𝕝𝕒𝕥𝕗𝕠𝕣𝕞𝕤, 𝕨𝕙𝕖𝕣𝕖 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕚𝕤 𝕣𝕖𝕤𝕡𝕠𝕟𝕤𝕚𝕧𝕖𝕟𝕖𝕤𝕤 𝕓𝕠𝕥𝕙 𝕖𝕗𝕗𝕖𝕔𝕥𝕚𝕧𝕖 𝕒𝕟𝕕 𝕥𝕚𝕞𝕖𝕝𝕪. 𝔼𝕩𝕡𝕝𝕠𝕣𝕚𝕟𝕘 𝕥𝕙𝕖𝕤𝕖 𝕠𝕡𝕥𝕚𝕠𝕟𝕤 𝕔𝕒𝕟 𝕠𝕗𝕗𝕖𝕣 𝕔𝕠𝕟𝕧𝕖𝕟𝕚𝕖𝕟𝕔𝕖 𝕒𝕟𝕕 𝕗𝕝𝕖𝕩𝕚𝕓𝕚𝕝𝕚𝕥𝕪 𝕓𝕒𝕤𝕖𝕕 𝕠𝕟 𝕪𝕠𝕦𝕣 𝕤𝕡𝕖𝕔𝕚𝕗𝕚𝕔 𝕟𝕖𝕖𝕕𝕤. 𝕌𝕟𝕕𝕖𝕣𝕤𝕥𝕒𝕟𝕕𝕚𝕟𝕘 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕊𝕦𝕡𝕡𝕠𝕣𝕥 𝕊𝕥𝕣𝕦𝕔𝕥𝕦𝕣𝕖 ℕ𝕒𝕧𝕚𝕘𝕒𝕥𝕚𝕟𝕘 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕔𝕒𝕟 𝕤𝕠𝕞𝕖𝕥𝕚𝕞𝕖𝕤 𝕗𝕖𝕖𝕝 𝕝𝕚𝕜𝕖 𝕒 𝕞𝕒𝕫𝕖. 𝕌𝕟𝕕𝕖𝕣𝕤𝕥𝕒𝕟𝕕𝕚𝕟𝕘 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕤𝕥𝕣𝕦𝕔𝕥𝕦𝕣𝕖 𝕚𝕤 𝕜𝕖𝕪 𝕥𝕠 𝕕𝕚𝕣𝕖𝕔𝕥𝕚𝕟𝕘 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤 𝕥𝕠 𝕥𝕙𝕖 𝕣𝕚𝕘𝕙𝕥 𝕕𝕖𝕡𝕒𝕣𝕥𝕞𝕖𝕟𝕥. 𝕋𝕙𝕚𝕤 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕓𝕣𝕖𝕒𝕜𝕤 𝕕𝕠𝕨𝕟 𝕥𝕙𝕖 𝕠𝕣𝕘𝕒𝕟𝕚𝕫𝕒𝕥𝕚𝕠𝕟𝕒𝕝 𝕤𝕥𝕣𝕦𝕔𝕥𝕦𝕣𝕖 𝕠𝕗 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖, 𝕠𝕗𝕗𝕖𝕣𝕚𝕟𝕘 𝕚𝕟𝕤𝕚𝕘𝕙𝕥𝕤 𝕚𝕟𝕥𝕠 𝕖𝕒𝕔𝕙 𝕕𝕖𝕡𝕒𝕣𝕥𝕞𝕖𝕟𝕥'𝕤 𝕗𝕦𝕟𝕔𝕥𝕚𝕠𝕟 𝕒𝕟𝕕 𝕥𝕚𝕡𝕤 𝕠𝕟 𝕙𝕠𝕨 𝕥𝕠 𝕖𝕤𝕔𝕒𝕝𝕒𝕥𝕖 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤. 𝕋𝕚𝕡𝕤 𝕗𝕠𝕣 𝕒 𝕊𝕞𝕠𝕠𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕 𝕊𝕦𝕡𝕡𝕠𝕣𝕥 𝔼𝕩𝕡𝕖𝕣𝕚𝕖𝕟𝕔𝕖 𝔸 𝕤𝕞𝕠𝕠𝕥𝕙 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕖𝕩𝕡𝕖𝕣𝕚𝕖𝕟𝕔𝕖 𝕨𝕚𝕥𝕙 𝕒𝕟 𝕌𝕟𝕚𝕥𝕖𝕕 𝕚𝕤 𝕟𝕠𝕥 𝕛𝕦𝕤𝕥 𝕣𝕖𝕒𝕔𝕙𝕚𝕟𝕘 𝕠𝕦𝕥; 𝕚𝕥'𝕤 𝕒𝕝𝕤𝕠 𝕒𝕓𝕠𝕦𝕥 𝕙𝕠𝕨 𝕪𝕠𝕦 𝕔𝕠𝕞𝕞𝕦𝕟𝕚𝕔𝕒𝕥𝕖. 𝕋𝕙𝕚𝕤 𝕚𝕟𝕔𝕝𝕦𝕕𝕖𝕤 𝕡𝕣𝕖𝕡𝕒𝕣𝕚𝕟𝕘 𝕪𝕠𝕦𝕣 𝕓𝕠𝕠𝕜 𝕚𝕟𝕗𝕠𝕣𝕞𝕒𝕥𝕚𝕠𝕟 𝕓𝕖𝕗𝕠𝕣𝕖𝕙𝕒𝕟𝕕, 𝕓𝕖𝕚𝕟𝕘 𝕔𝕝𝕖𝕒𝕣 𝕒𝕟𝕕 𝕔𝕠𝕟𝕔𝕚𝕤𝕖 𝕨𝕚𝕥𝕙 𝕪𝕠𝕦𝕣 𝕢𝕦𝕖𝕣𝕚𝕖𝕤, 𝕒𝕟𝕕 𝕙𝕒𝕧𝕚𝕟𝕘 𝕡𝕒𝕥𝕚𝕖𝕟𝕔𝕖 𝕥𝕙𝕖 𝕨𝕙𝕠𝕝𝕖 𝕡𝕣𝕠𝕔𝕖𝕤𝕤. 𝕋𝕙𝕖𝕤𝕖 𝕥𝕚𝕡𝕤 𝕒𝕣𝕖 𝕕𝕖𝕤𝕚𝕘𝕟𝕖𝕕 𝕥𝕠 𝕖𝕟𝕙𝕒𝕟𝕔𝕖 𝕪𝕠𝕦𝕣 𝕚𝕟𝕥𝕖𝕣𝕒𝕔𝕥𝕚𝕠𝕟 𝕨𝕚𝕥𝕙 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖, 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 //𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 (𝕃𝕚𝕧𝕖 𝕒𝕘𝕖𝕟𝕥) 𝕖𝕟𝕤𝕦𝕣𝕚𝕟𝕘 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤 𝕒𝕣𝕖 𝕒𝕕𝕕𝕣𝕖𝕤𝕤𝕖𝕕 𝕖𝕗𝕗𝕚𝕔𝕚𝕖𝕟𝕥𝕝𝕪. ℂ𝕠𝕞𝕞𝕠𝕟 𝕀𝕤𝕤𝕦𝕖𝕤 ℍ𝕒𝕟𝕕𝕝𝕖𝕕 𝕓𝕪 𝕌𝕟𝕚𝕥𝕖𝕕 𝕊𝕦𝕡𝕡𝕠𝕣𝕥 𝔽𝕣𝕠𝕞 𝕓𝕠𝕠𝕜𝕚𝕟𝕘 𝕒𝕞𝕖𝕟𝕕𝕞𝕖𝕟𝕥𝕤 𝕥𝕠 𝕔𝕒𝕟𝕔𝕖𝕝𝕝𝕒𝕥𝕚𝕠𝕟𝕤 𝕒𝕟𝕕 𝕣𝕖𝕗𝕦𝕟𝕕𝕤, 𝕒𝕟𝕕 𝕥𝕣𝕠𝕦𝕓𝕝𝕖𝕤𝕙𝕠𝕠𝕥𝕚𝕟𝕘 𝕥𝕖𝕔𝕙𝕟𝕚𝕔𝕒𝕝 𝕚𝕤𝕤𝕦𝕖𝕤, 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕙𝕒𝕟𝕕𝕝𝕖𝕤 𝕒 𝕨𝕚𝕕𝕖 𝕒𝕣𝕣𝕒𝕪 𝕠𝕗 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤. 𝕋𝕙𝕚𝕤 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕠𝕦𝕥𝕝𝕚𝕟𝕖𝕤 𝕥𝕙𝕖 𝕞𝕠𝕤𝕥 𝕔𝕠𝕞𝕞𝕠𝕟 𝕚𝕤𝕤𝕦𝕖𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣𝕤 𝕗𝕒𝕔𝕖 𝕒𝕟𝕕 𝕙𝕠𝕨 𝕌𝕟𝕚𝕥𝕖𝕕'𝕤 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕥𝕖𝕒𝕞 𝕒𝕕𝕕𝕣𝕖𝕤𝕤𝕖𝕤 𝕥𝕙𝕖𝕞, 𝕡𝕣𝕠𝕧𝕚𝕕𝕚𝕟𝕘 𝕪𝕠𝕦 𝕨𝕚𝕥𝕙 𝕒 𝕔𝕝𝕖𝕒𝕣𝕖𝕣 𝕖𝕩𝕡𝕖𝕔𝕥𝕒𝕥𝕚𝕠𝕟 𝕠𝕗 𝕥𝕙𝕖 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖 𝕒𝕧𝕒𝕚𝕝𝕒𝕓𝕝𝕖. 𝕄𝕒𝕩𝕚𝕞𝕚𝕫𝕚𝕟𝕘 𝕥𝕙𝕖 𝕌𝕤𝕖 𝕠𝕗 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝔽𝔸ℚ 𝕊𝕖𝕔𝕥𝕚𝕠𝕟 𝔹𝕖𝕗𝕠𝕣𝕖 𝕣𝕖𝕒𝕔𝕙𝕚𝕟𝕘 𝕠𝕦𝕥 𝕗𝕠𝕣 𝕡𝕖𝕣𝕤𝕠𝕟𝕒𝕝 𝕒𝕤𝕤𝕚𝕤𝕥𝕒𝕟𝕔𝕖, 𝕖𝕩𝕡𝕝𝕠𝕣𝕚𝕟𝕘 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝔽𝔸ℚ 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕔𝕒𝕟 𝕓𝕖 𝕚𝕟𝕔𝕣𝕖𝕕𝕚𝕓𝕝𝕪 𝕙𝕖𝕝𝕡𝕗𝕦𝕝. 𝕋𝕙𝕚𝕤 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕘𝕦𝕚𝕕𝕖𝕤 𝕪𝕠𝕦 𝕥𝕙𝕣𝕠𝕦𝕘𝕙 𝕟𝕒𝕧𝕚𝕘𝕒𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝔽𝔸ℚ, 𝕙𝕚𝕘𝕙𝕝𝕚𝕘𝕙𝕥𝕚𝕟𝕘 𝕙𝕠𝕨 𝕥𝕠 𝕗𝕚𝕟𝕕 𝕒𝕟𝕤𝕨𝕖𝕣𝕤 𝕥𝕠 𝕔𝕠𝕞𝕞𝕠𝕟 𝕢𝕦𝕖𝕤𝕥𝕚𝕠𝕟𝕤 𝕢𝕦𝕚𝕔𝕜𝕝𝕪 𝕒𝕟𝕕 𝕡𝕠𝕥𝕖𝕟𝕥𝕚𝕒𝕝𝕝𝕪, 𝕡𝕠𝕥𝕖𝕟𝕥𝕚𝕒𝕝𝕝𝕪 𝕤𝕒𝕧𝕚𝕟𝕘 𝕪𝕠𝕦 𝕥𝕚𝕞𝕖 𝕒𝕟𝕕 𝕖𝕗𝕗𝕠𝕣𝕥. 𝔽𝕖𝕖𝕕𝕓𝕒𝕔𝕜: 𝕀𝕞𝕡𝕣𝕠𝕧𝕚𝕟𝕘 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖 𝕐𝕠𝕦𝕣 𝕗𝕖𝕖𝕕𝕓𝕒𝕔𝕜 𝕚𝕤 𝕔𝕣𝕦𝕔𝕚𝕒𝕝 𝕚𝕟 𝕤𝕙𝕒𝕡𝕚𝕟𝕘 𝕥𝕙𝕖 𝕗𝕦𝕥𝕦𝕣𝕖 𝕠𝕗 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 -𝟏-𝟖𝟔𝟔--𝟔𝟕𝟐--𝟖𝟔𝟓𝟐 - (𝕃𝕚𝕧𝕖 𝕒𝕘𝕖𝕟𝕥). 𝕋𝕙𝕚𝕤 𝕡𝕒𝕣𝕥 𝕠𝕗 𝕥𝕙𝕖 𝕒𝕣𝕥𝕚𝕔𝕝𝕖 𝕖𝕩𝕡𝕝𝕒𝕚𝕟𝕤 𝕙𝕠𝕨 𝕥𝕠 𝕤𝕦𝕓𝕞𝕚𝕥 𝕗𝕖𝕖𝕕𝕓𝕒𝕔𝕜 𝕒𝕓𝕠𝕦𝕥 𝕪𝕠𝕦𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕖𝕩𝕡𝕖𝕣𝕚𝕖𝕟𝕔𝕖 𝕒𝕟𝕕 𝕥𝕙𝕖 𝕚𝕞𝕡𝕒𝕔𝕥 𝕚𝕥 𝕙𝕒𝕤 𝕠𝕟 𝕚𝕞𝕡𝕣𝕠𝕧𝕚𝕟𝕘 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕢𝕦𝕒𝕝𝕚𝕥𝕪, 𝕥𝕙𝕒𝕥 𝕪𝕠𝕦𝕣 𝕧𝕠𝕚𝕔𝕖 𝕙𝕖𝕒𝕣 𝕚𝕤 𝕒𝕟𝕕. 𝕋𝕠 𝕥𝕒𝕝𝕜 𝕥𝕠 𝕒 ℙ𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕖𝕣𝕧𝕚𝕔𝕖 𝕗𝕠𝕣 𝕝𝕚𝕧𝕖 𝕤𝕦𝕡𝕡𝕠𝕣𝕥, 𝕐𝕠𝕦 𝕔𝕒𝕟 𝕔𝕒𝕝𝕝 𝕥𝕙𝕖𝕚𝕣 𝕌𝕟𝕚𝕥𝕖𝕕 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝟚𝟜/𝟟 ℍ𝕠𝕥𝕝𝕚𝕟𝕖 ℕ𝕦𝕞𝕓𝕖𝕣 𝕌𝕊𝔸: 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮:/ 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 (𝕃𝕚𝕧𝕖 ℙ𝕖𝕣𝕤𝕠𝕟) 𝕠𝕣 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - / 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - (ℚ𝕦𝕚𝕔𝕜 ℂ𝕠𝕟𝕟𝕖𝕔𝕥) - 𝕦𝕤𝕖𝕣 𝕚𝕟 𝕒 𝕝𝕚𝕧𝕖 𝕊𝕄𝕊. 𝔽𝕦𝕥𝕦𝕣𝕖 𝕠𝕗 ℂ𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕊𝕦𝕡𝕡𝕠𝕣𝕥 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕃𝕠𝕠𝕜𝕚𝕟𝕘 𝕒𝕙𝕖𝕒𝕕, 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮. 𝕩 𝕃𝕚𝕧𝕖 𝕒𝕘𝕖𝕟𝕥 𝕚𝕤 𝕤𝕖𝕥 𝕥𝕠 𝕖𝕧𝕠𝕝𝕧𝕖. 𝕋𝕙𝕚𝕤 𝕤𝕖𝕔𝕥𝕚𝕠𝕟 𝕖𝕩𝕡𝕝𝕠𝕣𝕖𝕤 𝕥𝕙𝕖 𝕥𝕖𝕔𝕙𝕟𝕠𝕝𝕠𝕘𝕚𝕔𝕒𝕝 𝕒𝕕𝕧𝕒𝕟𝕔𝕖𝕞𝕖𝕟𝕥𝕤 𝕒𝕟𝕕 𝕡𝕖𝕣𝕤𝕠𝕟𝕒𝕝𝕚𝕫𝕖𝕕 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕖𝕩𝕡𝕖𝕣𝕚𝕖𝕟𝕔𝕖𝕤 𝕥𝕙𝕒𝕥 𝕒𝕣𝕖 𝕠𝕟 𝕥𝕙𝕖 𝕙𝕠𝕣𝕚𝕫𝕠𝕟, 𝕒 𝕞𝕠𝕣𝕖 𝕤𝕖𝕒𝕞𝕝𝕖𝕤𝕤 𝕒𝕟𝕕 𝕖𝕗𝕗𝕚𝕔𝕚𝕖𝕟𝕥 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕖𝕣𝕧𝕚𝕔𝕖 𝕛𝕠𝕦𝕣𝕟𝕖𝕪. ℂ𝕠𝕟𝕔𝕝𝕦𝕤𝕚𝕠𝕟 ℂ𝕠𝕟𝕟𝕖𝕔𝕥𝕚𝕟𝕘 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕒𝕝 𝕡𝕖𝕣𝕤𝕠𝕟 𝕒𝕥 𝕌𝕟𝕚𝕥𝕖𝕕 𝕕𝕠𝕖𝕤𝕟'𝕥 𝕙𝕒𝕧𝕖 𝕥𝕠 𝕓𝕖 𝕒 𝕕𝕚𝕞𝕖𝕟𝕤𝕚𝕠𝕟 𝕥𝕒𝕤𝕜. 𝕎𝕚𝕥𝕙 𝕥𝕙𝕖 𝕣𝕚𝕘𝕙𝕥 𝕜𝕟𝕠𝕨𝕝𝕖𝕕𝕘𝕖 𝕒𝕟𝕕 𝕒𝕡𝕡𝕣𝕠𝕒𝕔𝕙, 𝕪𝕠𝕦 𝕔𝕒𝕟 𝕓𝕣𝕠𝕨𝕤𝕖 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕔𝕦𝕤𝕥𝕠𝕞𝕖𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - // 𝟭-𝟴𝟲𝟲--𝟲𝟳𝟮--𝟴𝟲𝟱𝟮 - (𝕃𝕚𝕧𝕖 𝕒𝕘𝕖𝕟𝕥) 𝕨𝕚𝕥𝕙, 𝕖𝕟𝕤𝕦𝕣𝕚𝕟𝕘 𝕪𝕠𝕦𝕣 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕟𝕚𝕟𝕘 𝕚𝕤 𝕒𝕤 𝕤𝕞𝕠𝕠𝕥𝕙 𝕒𝕤 𝕡𝕠𝕤𝕤𝕚𝕓𝕝𝕖. ℝ𝕖𝕞𝕖𝕞𝕓𝕖𝕣, 𝕌𝕟𝕚𝕥𝕖𝕕 '𝕤 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕥𝕖𝕒𝕞 𝕚𝕤 𝕥𝕙𝕖𝕣𝕖 𝕥𝕠 𝕒𝕤𝕤𝕚𝕤𝕥 𝕪𝕠𝕦, 𝕤𝕠 𝕕𝕠𝕟'𝕥 𝕣𝕖𝕒𝕔𝕙 𝕠𝕦𝕥 𝕨𝕚𝕥𝕙 𝕪𝕠𝕦𝕣 𝕔𝕠𝕟𝕔𝕖𝕣𝕟𝕤 𝕒𝕟𝕕 𝕢𝕦𝕖𝕣𝕚𝕖𝕤. ℂ𝕠𝕟𝕟𝕖𝕔𝕥𝕚𝕟𝕘 𝕨𝕚𝕥𝕙 𝕒 𝕣𝕖𝕒𝕝 𝕡𝕖𝕣𝕤𝕠𝕟 𝕗𝕠𝕣 𝕤𝕦𝕡𝕡𝕠𝕣𝕥 𝕚𝕤 𝕖𝕤𝕤𝕖𝕟𝕥𝕚𝕒𝕝 𝕚𝕟 𝕟𝕒𝕧𝕚𝕘𝕒𝕥𝕚𝕟𝕘 𝕥𝕙𝕖 𝕔𝕠𝕞𝕡𝕝𝕖𝕩𝕚𝕥𝕚𝕖𝕤 𝕠𝕗 𝕥𝕣𝕒𝕧𝕖𝕝 𝕡𝕝𝕒𝕟𝕟𝕚𝕟𝕘.
top of page
To test this feature, visit your live site.
United GUIDE""}}How do I talk to a United representative fast?Hotline ~SupporT
United GUIDE""}}How do I talk to a United representative fast?Hotline ~SupporT
1 comment
1 Comment
bottom of page
How do I talk to a real person at United Airlines? If you have questions or want to make special travel arrangements, you can make them online or call '1-866-672-8652. For hearing or speech impaired assistance dial - 1-866-672-8652 to be connected through the National Relay Service. How do I speak to United customer service? Can I talk to a live person at United Airlines? Yes, you can talk to a live person at '1-866-672-8652' - United Airlines by calling their customer service hotline at 1-866-𝟲𝟳𝟮-8652 - // 1-866-672-8652 - . This line is available 24/7 for your convenience. How can I get in touch with United Airlines fast? To talk to a 1-866-𝟲𝟳𝟮-8652) Person at United Airline for 1-866-𝟲𝟳𝟮-8652) live support, you have options. You can call their United Airline customer service hotline at "1-866-𝟲𝟳𝟮-8652-(Quick Connect)", engages in live chat on their website, or use email support. How do I get a human at United Airlines immediately? Yes, you can talk to a live person at 1-866-672-8652--United Airlines by calling their customer service hotline at-1-866-672-8652--1-866-𝟲𝟳𝟮-8652--[--------------------------------------------------------------------------------------- This line is available 24/7 for your convenience. How do I get a response from United Airlines? Dial - 1-866-672-8652- or - 1-866-672-8652 - ford assistance. Whether you're seeking information on flight schedules, baggage policies, or making changes to your booking, this direct line offers a quick and way to reach United Airlines. Is United refund Airlines policy? United Airlines stands out with its 24-hour refund policy. This policy allows passengers to cancel their reservations within 24 hours of booking and receive a full refund, wherever the ticket type. Contact Now: 1-866-𝟲𝟳𝟮-8652 How do I speak to United customer service? To talk to a Person at America for live support, you have options. You can call their United customer service hotline at "For U.S. 1-866-𝟲𝟳𝟮-8652 Is it free to change on flights United Airlines? Fees may apply. Fees may apply. No Change Fees: Unlike some other airlines, United airlines does not impose change fees on many of our fares. This means that passengers can make changes to their flights without incurring additional charges, providing peace of mind and financial flexibility. How late can you change an United flight? Yes, you can cancel your United Airlines flight within 24 hours 1-866-𝟲𝟳𝟮-8652-of booking, provided that the departure is at least two days away. If you you need to cancel within this, you won't incur any or penalties fees. Can I change my flight to a different United day? Can I change my flight to a different United day? Yes, you can change the Date on your United flight ticket, but it is subject to certain conditions and fees. You need to contact United customer flights service at . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . How can I communicate with United? Talk to someone on United Airlines, you have a few options. You can give them a call at their customer service hotline, which is 1-866-𝟲𝟳𝟮-8652 :: 1-866-𝟲𝟳𝟮-8652 (Live Person). Alternatively, you can chat with them live on their website or their home mail support. To talk to a United live representative in a quick time, you can initiate a request in several ways. You can call their customer dedicated service line at “1-866-𝟲𝟳𝟮-8652-// 1-866-𝟲𝟳𝟮-8652)(No Wait Time),” start a chat, email user, and engage on social media. How do I talk to an United representative fast? Talk to someone on United Airline smoothly, give their give dedicated support line a ring at 1-866-𝟲𝟳𝟮-8652. Take your time and listen carefully to the automated prompts, then share all the required information to help them solve your problem quickly. Remember to speak clearly and politely to make sure you have a good experience. Talk to someone on United Airline, you have a few options. You can give them a call at their customer service hotline, which is 1-866-672-8652 or 1-866-672-8652 or 1-866-672-8652 or 1-866-672-8652 or 1-866-672-8652 (Person's Deliver). Alternatively, you can chat with them live on their website or their home mail support. How can I communicate with United? To Connect with United Airlines, explore multiple channels like their website, mobile app, or customer service hotline at 1-866-672-8652 // 1-866-672-8652 . Booking flights, managing reservations, and access travel information are seamless online. United, as a leading online travel agency, understands this need and offers various support channels to assist its customers. To talk to a Person at United for live support, you have options. You can call their United customer service hotline at " 1-866-672-8652 - / / / / / / / / / / - (Quick Connect)"), engage in live chat on their website, or use email support. How can I communicate with United? Talk on United Customer Service for Live Support, You can call their United customer service 24/7 Hotline Number USA: 1-866-𝟲𝟳𝟮-8652:1-866-𝟲𝟳𝟮-8652: (Live Person) or 1-866-672-8652: / 1-866-𝟲𝟳𝟮-8652 - (Quick Connect), engage in live chat on their website. Speaking to a person in America is simpler than you might think. Whether you're facing issues with your booking, need to make changes to your travel plans, or have specific inquiries, getting in touch with a live representative significantly can ease your concerns. This section provides a detailed, step-by-step guide on how to reach out to United's customer service via phone 1-866-𝟲𝟳𝟮-8652 - // 1-866-𝟲𝟳𝟮-8652 - (Live agent), including the best times to call to minimize time How can I communicate with United? Talk to someone on United Airlines, you have a few options. You can give them a call at their customer service hotline, which is 1-866-672-8652 :: 1-866-672-8652 (Live Person). Alternatively, you can chat with them live on their website or their home mail support. How can I communicate with United? To talk to a Person at America for live support, you have options. You can call their United Customer Service Hotline AT: 1-866-𝟲𝟳𝟮-8652:1-866-𝟲𝟳𝟮-8652. The specific number can vary by country, so it's best to visit United 's website or check your booking confirmation for most accurate contact information. United offers different phone numbers for different services and regions. Live Chat: United provides a live chat service on their website and mobile app, allowing you to chat in realtime with a customer service representative. Email: While direct email might not be prominently featured, you can often use the contact form on the United website to send an email to their customer service department. Social Media: United has a customer service Twitter account, where you can send direct messages or mentions them in a tweet for assistance. Before reaching out, it's helpful to have your booking information readily available to expedite the support process. Due to high demand, wait times can vary, so consider the urgency of your inquiry when choosing how to contact them. Alternative Contact Methods While direct calls may be preferable for immediate assistance, United also providing alternative methods to reach out for support. This includes email support, where you can detail your concerns and queries; the live chat feature, offering real-time assistance; and social media platforms, where United 's is responsiveness both effective and timely. Exploring these options can offer convenience and flexibility based on your specific needs. Understanding United 's Support Structure Navigating customer support can sometimes feel like a maze. Understanding United 's support structure is key to directing your concerns to the right department. This section breaks down the organizational structure of United 's customer service, offering insights into each department's function and tips on how to escalate your concerns. Tips for a Smooth United Support Experience A smooth support experience with an United is not just reaching out; it's also about how you communicate. This includes preparing your book information beforehand, being clear and concise with your queries, and having patience the whole process. These tips are designed to enhance your interaction with United 's customer service, 1-866-672-8652 // 1-866-𝟲𝟳𝟮-8652 (Live agent) ensuring your concerns are addressed efficiently. Common Issues Handled by United Support From booking amendments to cancellations and refunds, and troubleshooting technical issues, United 's customer service handles a wide array of concerns. This section outlines the most common issues customers face and how United's support team addresses them, providing you with a clearer expectation of the assistance available. Maximizing the Use of United 's FAQ Section Before reaching out for personal assistance, exploring United 's FAQ section can be incredibly helpful. This section guides you through navigating the FAQ, highlighting how to find answers to common questions quickly and potentially, potentially saving you time and effort. Feedback: Improving United 's Customer Service Your feedback is crucial in shaping the future of United 's customer service 1-866-672-8652 - 1-866-𝟲𝟳𝟮-8652 - (Live agent). This part of the article explains how to submit feedback about your support experience and the impact it has on improving service quality, that your voice hear is and. To talk to a Person at United Customer Service for live support, You can call their United customer service 24/7 Hotline Number USA: 1-866-672-8652:/ 1-866-672-8652 (Live Person) or 1-866-672-8652 - / 1-866-672-8652 - (Quick Connect) - user in a live SMS. Future of Customer Support at United Looking ahead, customer support at United 1-866-672-8652. x Live agent is set to evolve. This section explores the technological advancements and personalized support experiences that are on the horizon, a more seamless and efficient customer service journey. Conclusion Connecting with a real person at United doesn't have to be a dimension task. With the right knowledge and approach, you can browse United 's customer support 1-866-672-8652 - // 1-866-672-8652 - (Live agent) with, ensuring your travel planning is as smooth as possible. Remember, United 's support team is there to assist you, so don't reach out with your concerns and queries. Connecting with a real person for support is essential in navigating the complexities of travel planning.