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+{"segments": [{"id": 1, "seek": 4610, "start": 20.96, "end": 46.1, "text": "بسم الله الرحمن الرحيم مواصل اليوم ما ابتدأناه في المقابلات السابقة وهذه هي اخر نظرية في هذا ال chapter ان شاء الله تبارك وتعالى نص النظرية كتالي بناخد ال F عبارة عن fields ال P of X polynomial في كارتن F of X", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 3714, 2407, 33546, 1211, 45595, 20498, 19446, 48127, 2655, 3215, 10721, 8315, 3224, 8978, 9673, 4587, 16758, 1211, 9307, 21136, 16758, 28671, 37037, 24192, 39896, 1975, 34740, 8717, 19913, 2288, 10632, 8978, 23758, 2423, 7187, 16472, 13412, 16606, 21984, 6055, 3555, 9640, 4117, 34683, 3615, 6027, 7578, 8717, 9381, 28239, 19913, 2288, 10632, 9122, 2655, 6027, 1829, 44945, 47283, 3215, 2423, 479, 6225, 3555, 9640, 3660, 18871, 7909, 2423, 430, 295, 1783, 26110, 8978, 9122, 9640, 2655, 1863, 479, 295, 1783], "avg_logprob": -0.21205357306606168, "compression_ratio": 1.6538461538461537, "no_speech_prob": 0.0, "words": [{"start": 20.96, 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then ال capital P of X لprinciple هذا بده يساوي zero or", "tokens": [47, 401, 2534, 47429, 13412, 2407, 21136, 3555, 3555, 570, 498, 430, 295, 1783, 307, 5754, 550, 2423, 4238, 430, 295, 1783, 5296, 1424, 21961, 781, 23758, 47525, 3224, 7251, 3794, 995, 45865, 4018, 420], "avg_logprob": -0.3676215393675698, "compression_ratio": 1.0956521739130434, "no_speech_prob": 0.0, "words": [{"start": 219.81, "end": 221.21, "word": "Polynomial", "probability": 0.579986572265625}, {"start": 221.21, "end": 222.61, "word": " شو", "probability": 0.82568359375}, {"start": 222.61, "end": 223.13, "word": " السبب", "probability": 0.9811197916666666}, {"start": 223.13, "end": 224.37, "word": " because", "probability": 0.20458984375}, {"start": 224.37, "end": 228.27, "word": " if", "probability": 0.75634765625}, {"start": 228.27, "end": 229.73, "word": " P", "probability": 0.8408203125}, {"start": 229.73, "end": 230.05, "word": " of", "probability": 0.685546875}, {"start": 230.05, "end": 230.45, "word": " 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0.383544921875}, {"start": 262.03, "end": 263.15, "word": " كابتل", "probability": 0.6201171875}, {"start": 263.15, "end": 263.75, "word": " F", "probability": 0.94140625}, {"start": 263.75, "end": 264.37, "word": " of", "probability": 0.95068359375}, {"start": 264.37, "end": 264.91, "word": " X", "probability": 0.99560546875}, {"start": 264.91, "end": 266.49, "word": " and", "probability": 0.55810546875}, {"start": 266.49, "end": 269.31, "word": " neither", "probability": 0.83349609375}, {"start": 269.31, "end": 272.25, "word": " Zero", "probability": 0.2095947265625}, {"start": 272.25, "end": 273.87, "word": " nor", "probability": 0.81787109375}, {"start": 273.87, "end": 276.47, "word": " F", "probability": 0.5185546875}, {"start": 276.47, "end": 277.05, "word": " of", "probability": 0.97412109375}, {"start": 277.05, "end": 277.53, "word": " X", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 10, "seek": 30361, "start": 277.95, "end": 303.61, "text": "is maximum لا هذا maximum ولا هذا maximum إذا ضروري ال P of X ما تكونش constant طبعا بتبقى polynomial لكنها ليست constant الآن هذه بس مجرد ملاحظة كان جملة اعتراضية و بدنا نيجي إيش", "tokens": [271, 6674, 20193, 23758, 6674, 49429, 23758, 6674, 11933, 15730, 48812, 2288, 13063, 1829, 2423, 430, 295, 1783, 19446, 6055, 30544, 8592, 5754, 23032, 3555, 3615, 995, 39894, 3555, 4587, 7578, 26110, 44381, 11296, 32239, 14851, 5754, 6024, 48506, 29538, 4724, 3794, 3714, 7435, 2288, 3215, 3714, 15040, 5016, 19913, 3660, 25961, 10874, 2304, 37977, 1975, 34268, 2288, 46958, 10632, 4032, 47525, 8315, 8717, 1829, 7435, 1829, 11933, 1829, 8592], "avg_logprob": -0.24383802649001002, "compression_ratio": 1.4728260869565217, "no_speech_prob": 0.0, "words": [{"start": 277.95, "end": 278.73, "word": "is", "probability": 0.65625}, {"start": 278.73, "end": 280.89, "word": " maximum", "probability": 0.379638671875}, {"start": 280.89, "end": 284.67, "word": " لا", "probability": 0.54443359375}, {"start": 284.67, "end": 285.03, 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"probability": 0.6241455078125}, {"start": 309.63, "end": 310.63, "word": " بقوله", "probability": 0.8680013020833334}, {"start": 310.63, "end": 311.25, "word": " now", "probability": 0.48388671875}, {"start": 311.25, "end": 312.69, "word": " want", "probability": 0.4658203125}, {"start": 312.69, "end": 313.07, "word": " to", "probability": 0.98681640625}, {"start": 313.07, "end": 313.71, "word": " show", "probability": 0.96728515625}, {"start": 313.71, "end": 317.59, "word": " that", "probability": 0.912109375}, {"start": 317.59, "end": 319.97, "word": " ان", "probability": 0.771484375}, {"start": 319.97, "end": 320.31, "word": " ال", "probability": 0.607421875}, {"start": 320.31, "end": 320.75, "word": " P", "probability": 0.98046875}, {"start": 320.75, "end": 321.57, "word": " of", "probability": 0.9794921875}, {"start": 321.57, "end": 322.11, "word": " X", "probability": 0.99365234375}, {"start": 322.11, "end": 323.11, "word": " is", "probability": 0.96875}, {"start": 323.11, "end": 324.61, "word": " irreducible", "probability": 0.9573567708333334}, {"start": 324.61, "end": 327.49, "word": " over", "probability": 0.8515625}, {"start": 327.49, "end": 327.85, "word": " X", "probability": 0.970703125}], "temperature": 1.0}, {"id": 12, "seek": 36043, "start": 333.87, "end": 360.43, "text": "الشفتر هذا كل البرهين كانت في ال contradiction وماحدش أحسن من حد و هذه تلحقهم كمان يبقى هقوله assume نعم يبقى هنا هقوله assume ان ال P of X is reducible تمام يبقى reducible over F", "tokens": [6027, 8592, 5172, 2655, 2288, 23758, 28242, 2423, 26890, 3224, 9957, 25961, 2655, 8978, 2423, 34937, 4032, 15042, 24401, 8592, 5551, 5016, 3794, 1863, 9154, 11331, 3215, 4032, 29538, 6055, 1211, 5016, 4587, 16095, 9122, 2304, 7649, 7251, 3555, 4587, 7578, 8032, 39648, 3224, 6552, 8717, 25957, 7251, 3555, 4587, 7578, 34105, 8032, 39648, 3224, 6552, 16472, 2423, 430, 295, 1783, 307, 2783, 32128, 46811, 10943, 7251, 3555, 4587, 7578, 2783, 32128, 670, 479], "avg_logprob": 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{"start": 340.81, "end": 341.19, "word": " حد", "probability": 0.970703125}, {"start": 341.19, "end": 341.37, "word": " و", "probability": 0.6064453125}, {"start": 341.37, "end": 341.67, "word": " هذه", "probability": 0.263427734375}, {"start": 341.67, "end": 342.49, "word": " تلحقهم", "probability": 0.87626953125}, {"start": 342.49, "end": 342.85, "word": " كمان", "probability": 0.9295247395833334}, {"start": 342.85, "end": 343.11, "word": " يبقى", "probability": 0.8375244140625}, {"start": 343.11, "end": 343.63, "word": " هقوله", "probability": 0.5662434895833334}, {"start": 343.63, "end": 344.11, "word": " assume", "probability": 0.8486328125}, {"start": 344.11, "end": 344.59, "word": " نعم", "probability": 0.56396484375}, {"start": 344.59, "end": 345.83, "word": " يبقى", "probability": 0.94873046875}, {"start": 345.83, "end": 346.21, "word": " هنا", "probability": 0.98095703125}, {"start": 346.21, "end": 347.09, "word": " هقوله", "probability": 0.9488932291666666}, {"start": 347.09, "end": 347.95, "word": " assume", "probability": 0.92041015625}, {"start": 347.95, "end": 348.99, "word": " ان", "probability": 0.5283203125}, {"start": 348.99, "end": 349.37, "word": " ال", "probability": 0.74462890625}, {"start": 349.37, "end": 349.65, "word": " P", "probability": 0.82958984375}, {"start": 349.65, "end": 350.11, "word": " of", "probability": 0.89453125}, {"start": 350.11, "end": 350.59, "word": " X", "probability": 0.9599609375}, {"start": 350.59, "end": 351.23, "word": " is", "probability": 0.92578125}, {"start": 351.23, "end": 352.21, "word": " reducible", "probability": 0.873779296875}, {"start": 352.21, "end": 356.51, "word": " تمام", "probability": 0.8369140625}, {"start": 356.51, "end": 357.47, "word": " يبقى", "probability": 0.885986328125}, {"start": 357.47, "end": 358.35, "word": " reducible", "probability": 0.88671875}, {"start": 358.35, "end": 359.71, "word": " over", "probability": 0.90185546875}, {"start": 359.71, "end": 360.43, "word": " F", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 13, "seek": 39099, "start": 362.49, "end": 390.99, "text": "فماش اللي بده يحصل يبقى then ال P of X هذه حد ساوي ال G of X في ال H of X where حيث ال G of X و ال H of X موجودات في capital F of X and", "tokens": [5172, 2304, 33599, 13672, 1829, 47525, 3224, 7251, 5016, 36520, 7251, 3555, 4587, 7578, 550, 2423, 430, 295, 1783, 29538, 11331, 3215, 8608, 995, 45865, 2423, 460, 295, 1783, 8978, 2423, 389, 295, 1783, 689, 11331, 1829, 12984, 2423, 460, 295, 1783, 4032, 2423, 389, 295, 1783, 3714, 29245, 23328, 9307, 8978, 4238, 479, 295, 1783, 293], "avg_logprob": -0.20757004207578197, "compression_ratio": 1.3925925925925926, "no_speech_prob": 0.0, "words": [{"start": 362.49, "end": 362.91, "word": "فماش", "probability": 0.6128743489583334}, {"start": 362.91, "end": 363.07, "word": " اللي", "probability": 0.876708984375}, {"start": 363.07, "end": 363.33, "word": " بده", "probability": 0.691650390625}, {"start": 363.33, "end": 363.99, 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ideal، domain تمام؟ يبقى ال ideal هذا زي ولد ب polynomial وولد تكون على سبيل المثال g of x إذن هديها بقدر أصيها صياغة جديدة", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 8717, 19913, 23557, 5296, 28814, 1863, 2423, 479, 6225, 3555, 9640, 3660, 18871, 2519, 7251, 3555, 4587, 7578, 36632, 7157, 307, 257, 8665, 32239, 8592, 22807, 5296, 33456, 2423, 2519, 6225, 3555, 9640, 3660, 18871, 8665, 12399, 7157, 12399, 9274, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 2423, 7157, 8032, 8848, 995, 30767, 1829, 4032, 1211, 3215, 4724, 26110, 4032, 12610, 3215, 6055, 30544, 15844, 8608, 21292, 1211, 9673, 12984, 6027, 290, 295, 2031, 11933, 8848, 1863, 8032, 16254, 11296, 4724, 28543, 2288, 5551, 9381, 1829, 11296, 20328, 1829, 5718, 118, 3660, 10874, 16254, 41891], "avg_logprob": -0.2386642091122328, "compression_ratio": 1.5454545454545454, "no_speech_prob": 0.0, "words": [{"start": 1180.75, "end": 1181.77, "word": "مظبوط؟", "probability": 0.8102620442708334}, {"start": 1181.77, "end": 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جدا", "probability": 0.98681640625}, {"start": 1964.96, "end": 1966.52, "word": " البرهان", "probability": 0.607513427734375}, {"start": 1966.52, "end": 1966.78, "word": " بدي", "probability": 0.2630615234375}, {"start": 1966.78, "end": 1967.1, "word": " اخد", "probability": 0.7838541666666666}, {"start": 1967.1, "end": 1967.24, "word": " من", "probability": 0.869140625}, {"start": 1967.24, "end": 1967.68, "word": " الفرض", "probability": 0.811279296875}, {"start": 1967.68, "end": 1967.94, "word": " و", "probability": 0.65283203125}, {"start": 1967.94, "end": 1968.6, "word": " ابدأ", "probability": 0.7801106770833334}, {"start": 1968.6, "end": 1969.32, "word": " يبقى", "probability": 0.72259521484375}, {"start": 1969.32, "end": 1970.1, "word": " بداشي", "probability": 0.724609375}, {"start": 1970.1, "end": 1970.8, "word": " اقوله", "probability": 0.85107421875}, {"start": 1970.8, "end": 1972.04, "word": " assume", "probability": 0.50048828125}, {"start": 1972.04, "end": 1973.54, 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id generated by P of X is maximum خذنا نظرية سابقة لو عندى feel", "tokens": [4117, 10943, 3660, 2423, 479, 23032, 3555, 4587, 995, 24976, 1863, 19913, 2288, 10632, 2423, 6674, 7251, 3555, 4587, 7578, 3714, 26108, 1829, 4724, 39648, 3224, 538, 264, 3673, 20904, 20666, 1863, 19913, 2288, 10632, 1975, 3615, 23942, 2423, 430, 295, 1783, 1975, 2407, 2423, 8665, 4496, 10833, 538, 430, 295, 1783, 307, 6674, 16490, 8848, 8315, 8717, 19913, 2288, 10632, 8608, 16758, 28671, 45164, 43242, 7578, 841], "avg_logprob": -0.3564311542372773, "compression_ratio": 1.4269005847953216, "no_speech_prob": 0.0, "words": [{"start": 1989.19, "end": 1989.67, "word": "كامة", "probability": 0.2851155598958333}, {"start": 1989.67, "end": 1989.93, "word": " ال", "probability": 0.623046875}, {"start": 1989.93, "end": 1990.23, "word": " F", "probability": 0.34033203125}, {"start": 1990.23, "end": 1991.35, "word": " طبقا", "probability": 0.71307373046875}, {"start": 1991.35, "end": 1992.21, "word": " للنظرية", "probability": 0.9193359375}, {"start": 1992.21, "end": 1994.07, "word": " ال", "probability": 0.10809326171875}, {"start": 1994.07, "end": 1994.81, "word": " maximum", "probability": 0.76708984375}, {"start": 1994.81, "end": 1996.07, "word": " يبقى", "probability": 0.86669921875}, {"start": 1996.07, "end": 1996.55, "word": " ماجي", "probability": 0.6481119791666666}, {"start": 1996.55, "end": 1997.33, "word": " بقوله", "probability": 0.7351888020833334}, {"start": 1997.33, "end": 1997.85, "word": " by", "probability": 0.61474609375}, {"start": 1997.85, "end": 1999.17, "word": " the", "probability": 0.85009765625}, {"start": 1999.17, "end": 2000.73, "word": " above", "probability": 0.951171875}, {"start": 2000.73, "end": 2002.47, "word": " theorem", "probability": 0.82958984375}, {"start": 2002.47, "end": 2004.55, "word": " بالنظرية", "probability": 0.878564453125}, {"start": 2004.55, "end": 2005.45, "word": " اعلى", "probability": 0.7284342447916666}, {"start": 2005.45, "end": 2006.43, "word": " ال", "probability": 0.8310546875}, {"start": 2006.43, "end": 2006.83, "word": " P", "probability": 0.91552734375}, {"start": 2006.83, "end": 2007.21, "word": " of", "probability": 0.92138671875}, {"start": 2007.21, "end": 2007.51, "word": " X", "probability": 0.9287109375}, {"start": 2007.51, "end": 2007.71, "word": " او", "probability": 0.81982421875}, {"start": 2007.71, "end": 2007.85, "word": " ال", "probability": 0.7392578125}, {"start": 2007.85, "end": 2008.27, "word": " principle", "probability": 0.72216796875}, {"start": 2008.27, "end": 2008.75, "word": " id", "probability": 0.1441650390625}, {"start": 2008.75, "end": 2009.41, "word": " generated", "probability": 0.417236328125}, {"start": 2009.41, "end": 2009.77, "word": " by", "probability": 0.96044921875}, {"start": 2009.77, "end": 2010.05, "word": " P", "probability": 0.9853515625}, {"start": 2010.05, "end": 2010.27, "word": " of", "probability": 0.96240234375}, {"start": 2010.27, "end": 2010.59, "word": " X", "probability": 0.9931640625}, {"start": 2010.59, "end": 2011.29, "word": " is", "probability": 0.919921875}, {"start": 2011.29, "end": 2013.19, "word": " maximum", "probability": 0.72900390625}, {"start": 2013.19, "end": 2015.33, "word": " خذنا", "probability": 0.6566569010416666}, {"start": 2015.33, "end": 2015.87, "word": " نظرية", "probability": 0.936279296875}, {"start": 2015.87, "end": 2016.63, "word": " سابقة", "probability": 0.9295247395833334}, {"start": 2016.63, "end": 2017.65, "word": " لو", "probability": 0.78564453125}, {"start": 2017.65, "end": 2018.25, "word": " عندى", "probability": 0.696533203125}, {"start": 2018.25, "end": 2018.71, "word": " feel", "probability": 0.521484375}], "temperature": 1.0}, {"id": 72, "seek": 204744, "start": 2019.18, "end": 2047.44, "text": "وعندي maximal ideal يبقى الفاكتور field الفاكتور بصير ايش؟ بصير field يبقى هنا برضه by ايه؟ previous term الذاكرين هذا من هذا ولا لا؟ لما كان prime لما كان prime بصير integral domain لما كان maximal 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{"start": 2815.45, "end": 2816.15, "word": " ان", "probability": 0.740234375}, {"start": 2816.15, "end": 2816.61, "word": " ال", "probability": 0.6884765625}, {"start": 2816.61, "end": 2816.97, "word": " P", "probability": 0.9677734375}, {"start": 2816.97, "end": 2817.37, "word": " of", "probability": 0.98388671875}, {"start": 2817.37, "end": 2817.75, "word": " X", "probability": 0.99755859375}, {"start": 2817.75, "end": 2819.07, "word": " بتقسم", "probability": 0.98095703125}, {"start": 2819.07, "end": 2819.43, "word": " ال", "probability": 0.97509765625}, {"start": 2819.43, "end": 2819.93, "word": " A", "probability": 0.98046875}, {"start": 2819.93, "end": 2820.43, "word": " of", "probability": 0.98681640625}, {"start": 2820.43, "end": 2820.85, "word": " X", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 100, "seek": 284674, "start": 2821.28, "end": 2846.74, "text": "or P of X تقسم P of X هذا المقال مطلوب؟ مقال مطلوب لو كانت ال F is irreducible وبتقسم حصل ضرر two polynomials P of X لازم تقسم ال polynomial الأولى أو تقسم ال polynomial الثانية", "tokens": [284, 430, 295, 1783, 6055, 4587, 38251, 430, 295, 1783, 23758, 9673, 4587, 6027, 3714, 9566, 1211, 37746, 22807, 3714, 4587, 6027, 3714, 9566, 1211, 37746, 45164, 25961, 2655, 2423, 479, 307, 16014, 769, 32128, 46599, 2655, 4587, 38251, 11331, 36520, 48812, 2288, 2288, 732, 22560, 12356, 430, 295, 1783, 5296, 31377, 2304, 6055, 4587, 38251, 2423, 26110, 16247, 12610, 7578, 34051, 6055, 4587, 38251, 2423, 26110, 6024, 104, 7649, 10632], "avg_logprob": -0.3739149181379212, "compression_ratio": 1.641025641025641, "no_speech_prob": 0.0, "words": [{"start": 2821.28, "end": 2822.06, "word": "or", "probability": 0.20263671875}, {"start": 2822.06, "end": 2823.22, "word": " P", "probability": 0.595703125}, {"start": 2823.22, "end": 2823.82, "word": " of", "probability": 0.447265625}, {"start": 2823.82, "end": 2824.3, "word": " X", "probability": 0.92822265625}, {"start": 2824.3, "end": 2825.74, "word": 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"probability": 0.9835611979166666}, {"start": 2841.46, "end": 2841.62, "word": " ال", "probability": 0.53271484375}, {"start": 2841.62, "end": 2842.04, "word": " polynomial", "probability": 0.71044921875}, {"start": 2842.04, "end": 2843.08, "word": " الأولى", "probability": 0.9617513020833334}, {"start": 2843.08, "end": 2843.48, "word": " أو", "probability": 0.54150390625}, {"start": 2843.48, "end": 2844.0, "word": " تقسم", "probability": 0.9842122395833334}, {"start": 2844.0, "end": 2844.18, "word": " ال", "probability": 0.84130859375}, {"start": 2844.18, "end": 2844.92, "word": " polynomial", "probability": 0.9326171875}, {"start": 2844.92, "end": 2846.74, "word": " الثانية", "probability": 0.81341552734375}], "temperature": 1.0}, {"id": 101, "seek": 287569, "start": 2847.33, "end": 2875.69, "text": "بدنا نعطي إشارة عربية بسيطة give you example one example one construct a field of order 8", "tokens": [44510, 8315, 8717, 3615, 9566, 1829, 11933, 8592, 9640, 3660, 6225, 25513, 10632, 4724, 3794, 1829, 9566, 3660, 976, 291, 1365, 472, 1365, 472, 7690, 257, 2519, 295, 1668, 1649], "avg_logprob": -0.32610888442685526, "compression_ratio": 1.108910891089109, "no_speech_prob": 0.0, "words": [{"start": 2847.33, "end": 2847.83, "word": "بدنا", "probability": 0.56072998046875}, {"start": 2847.83, "end": 2848.31, "word": " نعطي", "probability": 0.978271484375}, {"start": 2848.31, "end": 2848.99, "word": " إشارة", "probability": 0.8636474609375}, {"start": 2848.99, "end": 2849.49, "word": " عربية", "probability": 0.6142578125}, {"start": 2849.49, "end": 2851.11, "word": " بسيطة", "probability": 0.87177734375}, {"start": 2851.11, "end": 2856.71, "word": " give", "probability": 0.160400390625}, {"start": 2856.71, "end": 2856.95, "word": " you", "probability": 0.537109375}, {"start": 2856.95, "end": 2857.55, "word": " example", "probability": 0.7890625}, {"start": 2857.55, "end": 2858.17, "word": " one", "probability": 0.84228515625}, {"start": 2858.17, "end": 2860.73, "word": 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let f of x ده ساول x تكعيب مثلا زائد x زائد واحد هاي polynomial وهنا let كمان let الفيه let z اتنين بيه الفيه", "tokens": [23328, 995, 7251, 39648, 14407, 718, 283, 295, 2031, 11778, 3224, 8608, 995, 12610, 2031, 6055, 4117, 3615, 1829, 3555, 50113, 15040, 30767, 16373, 3215, 2031, 30767, 16373, 3215, 36764, 24401, 8032, 47302, 26110, 37037, 8315, 718, 9122, 2304, 7649, 718, 27188, 1829, 3224, 718, 710, 1975, 2655, 1863, 9957, 4724, 1829, 3224, 27188, 1829, 3224], "avg_logprob": -0.43037281956589013, "compression_ratio": 1.4015151515151516, "no_speech_prob": 0.0, "words": [{"start": 2908.69, "end": 2909.25, "word": "ودا", "probability": 0.35589599609375}, {"start": 2909.25, "end": 2909.97, "word": " يقولوا", "probability": 0.5691731770833334}, {"start": 2909.97, "end": 2910.51, "word": " let", "probability": 0.82568359375}, {"start": 2910.51, "end": 2912.01, "word": " f", "probability": 0.385986328125}, {"start": 2912.01, "end": 2912.47, "word": " of", "probability": 0.28857421875}, 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