diff --git "a/PL9fwy3NUQKwbZEM9ek26xaPIiL_5tuWy3/-qbYlBzRs10_raw.json" "b/PL9fwy3NUQKwbZEM9ek26xaPIiL_5tuWy3/-qbYlBzRs10_raw.json"
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+{"segments": [{"id": 1, "seek": 5073, "start": 21.53, "end": 50.73, "text": "بسم الله الرحمن الرحيم لازلنا في موضوع الـ Integral domain اللي ابتدأناه قبل ذلك و اليوم بنكمل على نفس الموضوع وصلنا المرة اللي فاتت إلى النظرية اللي أمامنا اللي بنصفها كما يلي every finite integral domain is a field يعني احنا بتكون عندنا Integral domain وهذا ال Integral domain عدد العناصر محدود", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 5296, 31377, 1211, 8315, 8978, 3714, 2407, 11242, 45367, 2423, 39184, 23894, 304, 9274, 13672, 1829, 48127, 2655, 3215, 10721, 8315, 3224, 12174, 36150, 29910, 23275, 4032, 45595, 20498, 44945, 24793, 1211, 15844, 8717, 36178, 9673, 2407, 11242, 45367, 4032, 36520, 8315, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 30731, 28239, 19913, 2288, 10632, 13672, 1829, 5551, 2304, 10943, 8315, 13672, 1829, 44945, 9381, 5172, 11296, 9122, 15042, 7251, 20292, 633, 19362, 11573, 9274, 307, 257, 2519, 37495, 22653, 1975, 5016, 8315, 39894, 30544, 43242, 8315, 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796.36, "word": " يكون", "probability": 0.9892578125}, {"start": 796.36, "end": 796.88, "word": " zero", "probability": 0.6357421875}, {"start": 796.88, "end": 797.82, "word": " divisor", "probability": 0.963134765625}, {"start": 797.82, "end": 798.86, "word": " يعني", "probability": 0.75244140625}, {"start": 798.86, "end": 799.36, "word": " مش", "probability": 0.259521484375}, {"start": 799.36, "end": 799.82, "word": " فيها", "probability": 0.96533203125}, {"start": 799.82, "end": 800.2, "word": " zero", "probability": 0.82080078125}, {"start": 800.2, "end": 800.96, "word": " divisor،", "probability": 0.785400390625}, {"start": 800.96, "end": 801.18, "word": " بيبقى", "probability": 0.74609375}, {"start": 801.18, "end": 801.26, "word": " ايش", "probability": 0.5894368489583334}, {"start": 801.26, "end": 801.9, "word": " صارت؟", "probability": 0.8665771484375}, {"start": 801.9, "end": 802.64, "word": " Integral", "probability": 0.74560546875}, {"start": 802.64, "end": 803.1, "word": " 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833.53, "end": 833.85, "word": " عليه", "probability": 0.9794921875}, {"start": 833.85, "end": 834.09, "word": " ولا", "probability": 0.94189453125}, {"start": 834.09, "end": 834.47, "word": " شرط", "probability": 0.9860026041666666}, {"start": 834.47, "end": 834.89, "word": " مشان", "probability": 0.9697265625}, {"start": 834.89, "end": 835.29, "word": " يصير", "probability": 0.9892578125}, {"start": 835.29, "end": 836.37, "word": " Integral", "probability": 0.819091796875}, {"start": 836.37, "end": 837.31, "word": " domain", "probability": 0.9873046875}, {"start": 837.31, "end": 839.67, "word": " طيب", "probability": 0.9441731770833334}, {"start": 839.67, "end": 840.57, "word": " ننتقل", "probability": 0.87939453125}, {"start": 840.57, "end": 841.25, "word": " الآن", "probability": 0.802001953125}, {"start": 841.25, "end": 842.07, "word": " إلى", "probability": 0.72314453125}, {"start": 842.07, "end": 843.41, "word": " نتيجة", "probability": 0.994873046875}, {"start": 843.41, "end": 843.75, "word": " على", "probability": 0.94775390625}, {"start": 843.75, "end": 844.41, "word": " هذه", "probability": 0.9931640625}, {"start": 844.41, "end": 845.59, "word": " النظرية", "probability": 0.980712890625}], "temperature": 1.0}, {"id": 29, "seek": 87324, "start": 846.18, "end": 873.24, "text": "الان كرولري الكرولري بتقول معناته for every prime P for every prime P ال ZP ال ZP اللي هي the range of integers", "tokens": [6027, 7649, 9122, 2288, 12610, 16572, 33251, 2288, 12610, 16572, 39894, 39648, 20449, 8315, 47395, 337, 633, 5835, 430, 337, 633, 5835, 430, 2423, 1176, 47, 2423, 1176, 47, 13672, 1829, 39896, 264, 3613, 295, 41674], "avg_logprob": -0.3270692632005021, "compression_ratio": 1.3888888888888888, "no_speech_prob": 0.0, "words": [{"start": 846.18, "end": 846.84, "word": "الان", "probability": 0.737548828125}, {"start": 846.84, "end": 847.78, "word": " كرولري", "probability": 0.659881591796875}, {"start": 847.78, "end": 851.82, "word": " الكرولري", "probability": 0.805908203125}, {"start": 851.82, "end": 852.26, "word": " بتقول", "probability": 0.6318359375}, {"start": 852.26, "end": 852.94, "word": " معناته", "probability": 0.7064615885416666}, {"start": 852.94, "end": 853.24, "word": " for", "probability": 0.89697265625}, {"start": 853.24, "end": 853.54, "word": " every", "probability": 0.79931640625}, {"start": 853.54, "end": 854.08, "word": " prime", "probability": 0.86328125}, {"start": 854.08, "end": 854.58, "word": " P", "probability": 0.3896484375}, {"start": 854.58, "end": 855.24, "word": " for", "probability": 0.7080078125}, {"start": 855.24, "end": 857.44, "word": " every", "probability": 0.77490234375}, {"start": 857.44, "end": 859.72, "word": " prime", "probability": 0.931640625}, {"start": 859.72, "end": 861.08, "word": " P", "probability": 0.9677734375}, {"start": 861.08, "end": 862.3, "word": " ال", "probability": 0.8388671875}, {"start": 862.3, "end": 863.6, "word": " ZP", "probability": 0.875244140625}, {"start": 863.6, "end": 864.68, "word": " ال", "probability": 0.60546875}, {"start": 864.68, "end": 865.62, "word": " ZP", "probability": 0.923583984375}, {"start": 865.62, "end": 867.3, "word": " اللي", "probability": 0.921142578125}, {"start": 867.3, "end": 867.62, "word": " هي", "probability": 0.8271484375}, {"start": 867.62, "end": 868.16, "word": " the", "probability": 0.315673828125}, {"start": 868.16, "end": 869.64, "word": " range", "probability": 0.431396484375}, {"start": 869.64, "end": 871.5, "word": " of", "probability": 0.958984375}, {"start": 871.5, "end": 873.24, "word": " integers", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 30, "seek": 90352, "start": 874.82, "end": 903.52, "text": "موديولو P موديولو P ال P شوفناها قبل ما كتبناها في المحاضرة الماضية و إيش قلنا عليها Integral domain صح ولا لأ يبقى هنا بقولوا we know that", "tokens": [2304, 2407, 16254, 12610, 2407, 430, 3714, 2407, 16254, 12610, 2407, 430, 2423, 430, 13412, 38688, 8315, 11296, 12174, 36150, 19446, 9122, 2655, 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0.913818359375}, {"start": 890.7, "end": 890.9, "word": " ما", "probability": 0.134521484375}, {"start": 890.9, "end": 891.5, "word": " كتبناها", "probability": 0.757275390625}, {"start": 891.5, "end": 891.62, "word": " في", "probability": 0.50146484375}, {"start": 891.62, "end": 892.18, "word": " المحاضرة", "probability": 0.775665283203125}, {"start": 892.18, "end": 892.92, "word": " الماضية", "probability": 0.9773763020833334}, {"start": 892.92, "end": 893.68, "word": " و", "probability": 0.70849609375}, {"start": 893.68, "end": 893.84, "word": " إيش", "probability": 0.625732421875}, {"start": 893.84, "end": 894.16, "word": " قلنا", "probability": 0.9518229166666666}, {"start": 894.16, "end": 894.8, "word": " عليها", "probability": 0.978271484375}, {"start": 894.8, "end": 896.16, "word": " Integral", "probability": 0.56121826171875}, {"start": 896.16, "end": 896.58, "word": " domain", "probability": 0.7861328125}, {"start": 896.58, "end": 897.36, "word": " صح", "probability": 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"word": "الواحد", "probability": 0.8072916666666666}, {"start": 1207.17, "end": 1207.79, "word": " اللى", "probability": 0.67578125}, {"start": 1207.79, "end": 1208.45, "word": " بيساوي", "probability": 0.86748046875}, {"start": 1208.45, "end": 1209.15, "word": " واحد", "probability": 0.95703125}, {"start": 1209.15, "end": 1209.71, "word": " زائد", "probability": 0.8961588541666666}, {"start": 1209.71, "end": 1210.23, "word": " زيرو", "probability": 0.6793212890625}, {"start": 1210.23, "end": 1210.49, "word": " في", "probability": 0.87060546875}, {"start": 1210.49, "end": 1210.99, "word": " I", "probability": 0.70556640625}, {"start": 1210.99, "end": 1211.91, "word": " اللى", "probability": 0.97021484375}, {"start": 1211.91, "end": 1212.59, "word": " موجود", "probability": 0.9900716145833334}, {"start": 1212.59, "end": 1212.91, "word": " في", "probability": 0.89501953125}, {"start": 1212.91, "end": 1213.35, "word": " Z", "probability": 0.71484375}, {"start": 1213.35, "end": 1214.67, "word": " تلاتة", "probability": 0.81494140625}, {"start": 1214.67, "end": 1215.21, "word": " او", "probability": 0.5960693359375}, {"start": 1215.21, "end": 1215.61, "word": " I", "probability": 0.86669921875}, {"start": 1215.61, "end": 1217.39, "word": " يبقى", "probability": 0.9215087890625}, {"start": 1217.39, "end": 1217.89, "word": " واحد", "probability": 0.979248046875}, {"start": 1217.89, "end": 1218.21, "word": " هو", "probability": 0.9892578125}, {"start": 1218.21, "end": 1218.43, "word": " ال", "probability": 0.982421875}, {"start": 1218.43, "end": 1218.93, "word": " unity", "probability": 0.7373046875}, {"start": 1218.93, "end": 1219.87, "word": " هذا", "probability": 0.78173828125}, {"start": 1219.87, "end": 1220.43, "word": " موجود", "probability": 0.9860026041666666}, {"start": 1220.43, "end": 1220.65, "word": " في", "probability": 0.94775390625}, {"start": 1220.65, "end": 1220.81, "word": " Z", "probability": 0.91015625}, {"start": 1220.81, "end": 1221.39, "word": " تلاتة", "probability": 0.9444580078125}, {"start": 1221.39, "end": 1221.65, "word": " لإن", "probability": 0.7718098958333334}, {"start": 1221.65, "end": 1222.11, "word": " ابتدى", "probability": 0.4508056640625}, {"start": 1222.11, "end": 1222.63, "word": " الاقتبال", "probability": 0.564422607421875}, {"start": 1222.63, "end": 1222.87, "word": " على", "probability": 0.8505859375}, {"start": 1222.87, "end": 1223.33, "word": " الصيغة", "probability": 0.9384765625}, {"start": 1223.33, "end": 1223.69, "word": " واحد", "probability": 0.98388671875}, {"start": 1223.69, "end": 1224.29, "word": " زائد", "probability": 0.9705403645833334}, {"start": 1224.29, "end": 1225.07, "word": " زيرو", "probability": 0.8080240885416666}, {"start": 1225.07, "end": 1225.21, "word": " في", "probability": 0.87841796875}, {"start": 1225.21, "end": 1225.51, "word": " I", "probability": 0.9658203125}, {"start": 1225.51, "end": 1226.41, "word": " والواحد", "probability": 0.721435546875}, {"start": 1226.41, "end": 1227.15, "word": " والزيرو", "probability": 0.8015625}, {"start": 1227.15, "end": 1227.65, "word": " موجود", "probability": 0.9900716145833334}, {"start": 1227.65, "end": 1227.81, "word": " في", "probability": 0.88134765625}, {"start": 1227.81, "end": 1228.03, "word": " Z", "probability": 0.95947265625}, {"start": 1228.03, "end": 1228.93, "word": " تلاتة", "probability": 0.9664306640625}, {"start": 1228.93, "end": 1229.29, "word": " هذا", "probability": 0.8681640625}, {"start": 1229.29, "end": 1229.91, "word": " كلام", "probability": 0.967529296875}, {"start": 1229.91, "end": 1230.75, "word": " مظبوط", "probability": 0.780859375}, {"start": 1230.75, "end": 1231.81, "word": " ضليش", "probability": 0.4669596354166667}, {"start": 1231.81, "end": 1232.31, "word": " عندي", "probability": 0.864013671875}, {"start": 1232.31, "end": 1233.09, "word": " اثبت", "probability": 0.89794921875}, {"start": 1233.09, "end": 1233.41, "word": " انه", "probability": 0.77001953125}, {"start": 1233.41, "end": 1233.91, "word": " مافيهاش", "probability": 0.794189453125}, {"start": 1233.91, "end": 1234.35, "word": " Zero", "probability": 0.51025390625}, {"start": 1234.35, "end": 1235.27, "word": " divisors", "probability": 0.72021484375}], "temperature": 1.0}, {"id": 42, "seek": 126440, "start": 1235.62, "end": 1264.4, "text": "يبقى ايه بعدي عن ال zero تعالى لباقي التامة العناصر هل ممكن تظهر بأي اتنين فيهم يطلع zero لأن كل واحد فيهم عبارة عن unit تمام يبقى this ring has no zero divisors", "tokens": [1829, 3555, 4587, 7578, 1975, 1829, 3224, 45030, 16254, 18871, 2423, 4018, 37279, 6027, 7578, 5296, 3555, 995, 38436, 16712, 10943, 3660, 18863, 8315, 9381, 2288, 8032, 1211, 3714, 43020, 6055, 19913, 3224, 2288, 4724, 10721, 1829, 1975, 2655, 1863, 9957, 8978, 16095, 7251, 9566, 1211, 3615, 4018, 5296, 33456, 28242, 36764, 24401, 8978, 16095, 6225, 3555, 9640, 3660, 18871, 4985, 46811, 10943, 7251, 3555, 4587, 7578, 341, 4875, 575, 572, 4018, 25974, 830], "avg_logprob": -0.3079166650772095, "compression_ratio": 1.4709302325581395, "no_speech_prob": 0.0, "words": [{"start": 1235.62, "end": 1236.2, "word": "يبقى", "probability": 0.7025146484375}, {"start": 1236.2, "end": 1236.54, "word": " ايه", "probability": 0.689208984375}, {"start": 1236.54, "end": 1236.94, "word": " بعدي", "probability": 0.31951904296875}, {"start": 1236.94, "end": 1237.32, "word": " عن", "probability": 0.48681640625}, {"start": 1237.32, "end": 1237.56, "word": " ال", "probability": 0.62548828125}, {"start": 1237.56, "end": 1237.9, "word": " zero", "probability": 0.343017578125}, {"start": 1237.9, "end": 1238.58, "word": " تعالى", "probability": 0.7770182291666666}, {"start": 1238.58, "end": 1239.02, "word": " لباقي", "probability": 0.5985107421875}, {"start": 1239.02, "end": 1239.58, "word": " التامة", "probability": 0.6072591145833334}, {"start": 1239.58, "end": 1240.34, "word": " العناصر", "probability": 0.822265625}, {"start": 1240.34, "end": 1241.04, "word": " هل", "probability": 0.865966796875}, {"start": 1241.04, "end": 1241.6, "word": " ممكن", "probability": 0.990478515625}, {"start": 1241.6, "end": 1242.18, "word": " تظهر", "probability": 0.8677978515625}, {"start": 1242.18, "end": 1243.06, "word": " بأي", "probability": 0.6537679036458334}, {"start": 1243.06, "end": 1243.82, "word": " اتنين", "probability": 0.9443359375}, {"start": 1243.82, "end": 1244.28, "word": " فيهم", "probability": 0.900390625}, {"start": 1244.28, "end": 1244.76, "word": " يطلع", "probability": 0.961669921875}, {"start": 1244.76, "end": 1245.24, "word": " zero", "probability": 0.64453125}, {"start": 1245.24, "end": 1247.84, "word": " لأن", "probability": 0.413818359375}, {"start": 1247.84, "end": 1248.5, "word": " كل", "probability": 0.84716796875}, {"start": 1248.5, "end": 1249.22, "word": " واحد", "probability": 0.997314453125}, {"start": 1249.22, "end": 1250.14, "word": " فيهم", "probability": 0.957275390625}, {"start": 1250.14, "end": 1250.9, "word": " عبارة", "probability": 0.980712890625}, {"start": 1250.9, "end": 1251.2, "word": " عن", "probability": 0.9931640625}, {"start": 1251.2, "end": 1251.66, "word": " unit", "probability": 0.9658203125}, {"start": 1251.66, "end": 1252.62, "word": " تمام", "probability": 0.6781005859375}, {"start": 1252.62, "end": 1254.32, "word": " يبقى", "probability": 0.850830078125}, {"start": 1254.32, "end": 1255.68, "word": " this", "probability": 0.72802734375}, {"start": 1255.68, "end": 1257.94, "word": " ring", "probability": 0.93017578125}, {"start": 1257.94, "end": 1260.4, "word": " has", "probability": 0.81005859375}, {"start": 1260.4, "end": 1262.24, "word": " no", "probability": 0.85546875}, {"start": 1262.24, "end": 1263.22, "word": " zero", "probability": 0.884765625}, {"start": 1263.22, "end": 1264.4, "word": " divisors", "probability": 0.929443359375}], "temperature": 1.0}, {"id": 43, "seek": 129380, "start": 1266.84, "end": 1293.8, "text": "مافيش عندى بالماضى كل أنصر عبارة عن ايش عبارة عن unit طيب مابنامفش فيها zero divider لانه لايمكن اضرب أنصرين غير صفرين ابدا عن zero خدي اي اتنين وضربهم لايمكن يطلع صفر ديبجى this ring has no zero divisor سزد تلاتة of I", "tokens": [15042, 41185, 8592, 43242, 7578, 20666, 2304, 46958, 7578, 28242, 14739, 9381, 2288, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 6225, 3555, 9640, 3660, 18871, 4985, 23032, 1829, 3555, 3714, 16758, 1863, 10943, 5172, 8592, 8978, 11296, 4018, 3414, 1438, 5296, 7649, 3224, 20193, 32640, 19452, 1975, 11242, 25513, 14739, 9381, 2288, 9957, 32771, 13546, 20328, 5172, 2288, 9957, 48127, 28259, 18871, 4018, 16490, 16254, 1975, 1829, 1975, 2655, 1863, 9957, 4032, 11242, 25513, 16095, 20193, 32640, 19452, 7251, 9566, 1211, 3615, 20328, 5172, 2288, 11778, 1829, 3555, 7435, 7578, 341, 4875, 575, 572, 4018, 25974, 284, 8608, 11622, 3215, 6055, 1211, 9307, 3660, 295, 286], "avg_logprob": -0.3396990837322341, "compression_ratio": 1.6492890995260663, "no_speech_prob": 0.0, "words": [{"start": 1266.84, "end": 1267.38, "word": 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"end": 1282.28, "word": " zero", "probability": 0.38330078125}, {"start": 1282.28, "end": 1282.7, "word": " خدي", "probability": 0.581787109375}, {"start": 1282.7, "end": 1283.06, "word": " اي", "probability": 0.753662109375}, {"start": 1283.06, "end": 1283.62, "word": " اتنين", "probability": 0.9482421875}, {"start": 1283.62, "end": 1284.6, "word": " وضربهم", "probability": 0.766845703125}, {"start": 1284.6, "end": 1285.4, "word": " لايمكن", "probability": 0.9523111979166666}, {"start": 1285.4, "end": 1285.88, "word": " يطلع", "probability": 0.9874267578125}, {"start": 1285.88, "end": 1286.32, "word": " صفر", "probability": 0.9781901041666666}, {"start": 1286.32, "end": 1287.1, "word": " ديبجى", "probability": 0.396142578125}, {"start": 1287.1, "end": 1287.32, "word": " this", "probability": 0.54443359375}, {"start": 1287.32, "end": 1287.66, "word": " ring", "probability": 0.97509765625}, {"start": 1287.66, "end": 1287.96, "word": " has", "probability": 0.89794921875}, {"start": 1287.96, "end": 1288.22, "word": " no", "probability": 0.9365234375}, {"start": 1288.22, "end": 1288.62, "word": " zero", "probability": 0.88232421875}, {"start": 1288.62, "end": 1289.6, "word": " divisor", "probability": 0.802001953125}, {"start": 1289.6, "end": 1291.4, "word": " سزد", "probability": 0.4866536458333333}, {"start": 1291.4, "end": 1292.7, "word": " تلاتة", "probability": 0.8818359375}, {"start": 1292.7, "end": 1293.18, "word": " of", "probability": 0.2135009765625}, {"start": 1293.18, "end": 1293.8, "word": " I", "probability": 0.82080078125}], "temperature": 1.0}, {"id": 44, "seek": 132300, "start": 1294.04, "end": 1323.0, "text": "is a finite finite integral domain ليش ان فيه كام عنصر تسعة عناصر تسعة عناصر يبقى finite وintegral domain يبقى is AP يبقى هذا بتيعطينا ان Z تلاتة of I", "tokens": [271, 257, 19362, 19362, 11573, 9274, 32239, 8592, 16472, 8978, 3224, 9122, 10943, 18871, 9381, 2288, 6055, 3794, 27884, 18871, 33546, 2288, 6055, 3794, 27884, 18871, 33546, 2288, 7251, 3555, 4587, 7578, 19362, 4032, 31131, 304, 9274, 7251, 3555, 4587, 7578, 307, 5372, 7251, 3555, 4587, 7578, 23758, 39894, 40228, 9566, 1829, 8315, 16472, 1176, 6055, 1211, 9307, 3660, 295, 286], "avg_logprob": -0.2918346740545765, "compression_ratio": 1.5177304964539007, "no_speech_prob": 0.0, "words": [{"start": 1294.04, "end": 1294.84, "word": "is", "probability": 0.37451171875}, {"start": 1294.84, "end": 1295.72, "word": " a", "probability": 0.88232421875}, {"start": 1295.72, "end": 1297.74, "word": " finite", "probability": 0.9755859375}, {"start": 1297.74, "end": 1300.4, "word": " finite", "probability": 0.19189453125}, {"start": 1300.4, "end": 1301.94, "word": " integral", "probability": 0.6923828125}, {"start": 1301.94, "end": 1302.8, "word": " domain", "probability": 0.98095703125}, {"start": 1302.8, "end": 1306.34, "word": " ليش", "probability": 0.679931640625}, {"start": 1306.34, "end": 1306.46, "word": " ان", "probability": 0.5009765625}, {"start": 1306.46, "end": 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inverse بتبني المفروض بصي ان ادي اسم ايه فيه تمام؟ بقدر اروح اقوله I want to show ان الروح انبين ذات انه any none zero element of", "tokens": [6027, 2407, 20449, 4117, 2407, 11622, 6055, 33753, 6225, 42213, 10632, 6024, 114, 2288, 2288, 37495, 22653, 17596, 1166, 17340, 39894, 3555, 22653, 9673, 5172, 32887, 11242, 4724, 9381, 1829, 16472, 1975, 16254, 24525, 2304, 1975, 1829, 3224, 8978, 3224, 46811, 10943, 22807, 4724, 28543, 2288, 1975, 32887, 5016, 1975, 39648, 3224, 286, 528, 281, 855, 16472, 2423, 32887, 5016, 16472, 3555, 9957, 29910, 9307, 16472, 3224, 604, 6022, 4018, 4478, 295], "avg_logprob": -0.4105308284498241, "compression_ratio": 1.387434554973822, "no_speech_prob": 0.0, "words": [{"start": 1756.84, "end": 1757.32, "word": "الو", "probability": 0.3785400390625}, {"start": 1757.32, "end": 1758.2, "word": " معكوز", "probability": 0.7413330078125}, {"start": 1758.2, "end": 1758.54, "word": " تحت", "probability": 0.988525390625}, {"start": 1758.54, "end": 1759.06, "word": " 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\ No newline at end of file