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Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

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{'ALdims': [9, 7, 7, 9, 13, 12, 13, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [32, 32, 32, 32, 25, 28, 27, 28], 'Nk2': 12240, 'analytic_conductor': 45.13646115439157, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [765, 1, [596, 307, 496], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 316, 'dim': 80, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 67109629, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 9, 9], 'id': 189845, 'label': '765.4.a', 'level': 765, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 17], 'level_radical': 255, 'mf_dim': 332, 'mf_new_dim': 80, 'num_forms': 21, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 432, 'trace_bound': 11, 'trace_display': [4, 0, -10, 116], 'traces': [80, 4, 0, 300, -10, 0, 116, -24, 0, 20, -12, 0, -104, -60, 0, 1180, -68, 0, 68, -120, 0, -160, -452, 0, 2000, 396, 0, 1260, 244, 0, 264, -548, 0, 0, -260, 0, 444, -1096, 0, 240, 1216, 0, -896, -1260, 0, 40, 256, 0, 3088, 100, 0, 1036, 16, 0, 0, -448, 0, -1244, 1204, 0, 2196, 1864, 0, 4036, -780, 0, 2200, -816, 0, -900, -2872, 0, 1688, 180, 0, -2332, -1384, 0, -1384, 2080, 0, -3060, 2304, 0, 170, 368, 0, -764, -2084, 0, -2864, 6656, 0, -668, -1520, 0, 2872, 15080, 0, 7500, 640, 0, -2664, 6140, 0, 3452, -5376, 0, -2820, 3800, 0, 5328, 4152, 0, -1100, 3684, 0, -5664, -680, 0, 8944, -5896, 0, -2636, -250, 0, -5864, -12808, 0, -1480, -7756, 0, 2096, 1688, 0, 1836, 2784, 0, -1348, -60, 0, 1980, 712, 0, -4020, 9612, 0, 12524, 4928, 0, -10560, 14432, 0, 8512, 960, 0, 10000, -13968, 0, -4460, 2624, 0, -3968, 18996, 0, -8864, 9500, 0, 27316, -1020, 0, -13868, -3620, 0, 2900, -16024, 0, 2420, -13024, 0, 7620, -7124, 0, -19964, 2000, 0, 1496, 6972, 0, -1520, -12440, 0, -16048, 6080, 0, 8940, -8572, 0, 20928, -600, 0, -3076, -8904, 0, 6820, 2760, 0, 11276, -7480, 0, 8044, 14184, 0, -916, -6540, 0, -7816, 10728, 0, 14220, -272, 0, 10240, -4548, 0, 22020, -26456, 0, -19664, 1560, 0, -5036, -28464, 0, -6300, 28308, 0, 3536, 33760, 0, -6072, -38680, 0, 59120, 5710, 0, 42368, -27636, 0, 500, -1144, 0, -2200, -8772, 0, -5380, -18496, 0, 3256, -7380, 0, -65724, -9528, 0, -460, 30624, 0, 2460, -12572, 0, -8712, -7616, 0, -44392, -300, 0, 2028, -22856, 0, -21160, -42916, 0, -26464, -74696, 0, -15132, 45520, 0, 23120, 10100, 0, -39164, 3384, 0, 7920, 27972, 0, -31928, 18400, 0, 17248, -28696, 0, -47812, 19860, 0, -51344, 55548, 0, 14400, 3656, 0, -9776, 9720, 0, -10044, 21964, 0, -41392, 23080, 0, 10268, -4896, 0, -2600, 12328, 0, 5020, -14088, 0, 11964, -13308, 0, -15636, -11580, 0, 23072, 32996, 0, 2040, 50024, 0, 25504, -59608, 0, -48748, 52160, 0, 888, -1500, 0, 16344, 29488, 0, -5280, -6708, 0, -104224, 37672, 0, 89396, -76532, 0, -48764, -1460, 0, -16772, 84804, 0, -22140, -2872, 0, 12176, -68, 0, 12484, -33496, 0, 5972, -44680, 0, 33024, -5376, 0, -2160, -57316, 0, 8392, -4896, 0, 6120, 104092, 0, -24380, -20, 0, 4644, 26344, 0, 29500, -27064, 0, -5096, 101224, 0, 25776, 17224, 0, 5324, -13740, 0, 13660, -9136, 0, 6180, 52852, 0, 121280, 57068, 0, -8288, 59892, 0, -42788, -1700, 0, -37296, -33420, 0, 11280, 51824, 0, 59120, -115952, 0, -40992, -33200, 0, -29360, 9580, 0, -13600, -1176, 0, -21340, -28300, 0, 29404, -18768, 0, -47784, -49844, 0, 8976, 2240, 0, 14832, 27684, 0, 18400, -9992, 0, -76072, -22644, 0, 34048, 103088, 0, -96704, -16720, 0, -17848, 5464, 0, 1700, -6392, 0, 2760, -20600, 0, 23552, -128724, 0, 6820, 20660, 0, -29124, -166432, 0, 22440, 48236, 0, 6732, -6812, 0, 111608, -16312, 0, -52708, -3000, 0, -8, 11780, 0, 22140, 65008, 0, -39844, 320, 0, -41496, -126820, 0, 44776, 10820, 0, 41768, -125680, 0, -39640, 34200, 0, -33048, -41328, 0, -25292, -29036, 0, 21536, -11720, 0, -45216, 37312, 0, 5520, -87296, 0, 11528, -89308, 0, 28740, 43888, 0, 4488, 25020, 0, 47576, -92276, 0, -4000, 72584, 0, 72208, -56768, 0, -54604, -5816, 0, 99944, 37080, 0, -83448, 53400, 0, 7820, -171472, 0, -52176, -12884, 0, 65380, -171956, 0, 112400, -11300, 0, 25144, 1156, 0, -23960, -101264, 0, 88000, 126428, 0, -46164, 74472, 0, -6496, 20800, 0, -32572, 66072, 0, 4760, 77552, 0, -39132, -2128, 0, 57480, 113212, 0, -168144, -3810, 0, -6316, 151736, 0, 20960, 32804, 0, -8056, 130184, 0, 140592, -70616, 0, -5964, 800, 0, 60668, 66888, 0, 50000, 5260, 0, -19448, -2244, 0, 93496, -13636, 0, 73576, -53340, 0, -82456, -13528, 0, -21520, -46168, 0, 16880, -48088, 0, 16728, 53408, 0, 88072, 9900, 0, -140008, -94644, 0, -12440, 75628, 0, 35220, 27268, 0, -47168, 196392, 0, -145632, 27960, 0, 10536, 91452, 0, 48720, 78976, 0, 76432, -8872, 0, 176792, -100356, 0, 41896, -12240, 0, -85308, -9752, 0, -16500, 86756, 0, 53756, 39204, 0, -79660, 152060, 0, -80328, 18880, 0, 8976, -74032, 0, 31500, -38640, 0, 56608, 33252, 0, 183000, 73768, 0, -90260, -15620, 0, 268620, -79416, 0, -43160, -175064, 0, -33776, 145416, 0, -2592, 57972, 0, 233812, 6100, 0, -27288, 182156, 0, -30360, 13464, 0, -86536, 172340, 0, -32880, -108648, 0, 123836, 88420, 0, -174520, -38476, 0, 48540, -12112, 0, -10744, -50824, 0, -47160, 15948, 0, 129008, -50640, 0, 10432, -195156, 0, 44200, 32976, 0, -6288, -53296, 0, 109084, -141552, 0, -72676, 67440, 0, -123068, -118216, 0, 6600, -73576, 0, 66204, -146616, 0, 36504, 37740, 0, -47644, -28420, 0, 123168, 484, 0, -55240, 17272, 0, -177848, -8576, 0, 27708, -24504, 0, 10744, -13700, 0, -72552, 201824, 0, -84600, 255668, 0, -120572, 125696, 0, 11020, -159824, 0, 79368, -16080, 0, -69240, 271784, 0, 114940, 96156, 0, 257164, -112096, 0, 113000, -65864, 0, 107168, 94360, 0, 74236, -10268, 0, 63660, 212736, 0, -214740, 168296, 0, -15468, 132124, 0, 105256, -6550, 0, 123636, 57224, 0, 0, 27256, 0, 186212, -106064, 0, -103480, -93024, 0, 140564, -109180, 0, -169032, -45328, 0, 2240, -41656, 0, 227932, -101080, 0, -24632, 171488, 0, -248072, -6500, 0, 16556, -116972, 0, 67480, -233408, 0, -104208, 81804, 0, -191408, -43476, 0, -88552, -63580, 0, 117268, 26456, 0, 24360, 390544, 0, -269860, -23052, 0, -36856, -100376, 0, -171740, 20280, 0, 101776, -531888, 0, 30700, 300304, 0, -94104, -126288, 0, -215576, -201480, 0, -119376, 137060, 0, -329488, 100720, 0, 11100, -9884, 0, -225916, 83376, 0, 101988, -63216, 0, -65592, -26180, 0, 70312, 142684, 0, -99700, -95892, 0, -94448, -113884, 0, 10204, 139640, 0, 239504, -27400, 0, -23460, -252264, 0, 62240, 3696, 0, -85592, -95080, 0, -49084, 74272, 0, -12164, 67060, 0, 131000, 74732, 0, -51500, -276764, 0, 4632, -99564, 0, 164192, 142480, 0, 279496, -98760, 0, 92720, -59724, 0, -19640, 121040, 0, 173768, -67584, 0, -136032, -142816, 0, 230712, 131000, 0, 182028, 143004, 0, 6000], 'weight': 4, 'weight_parity': 1}