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Table mf_newspaces

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

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{'ALdims': [3, 4, 4, 3, 4, 4, 3, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [34, 35, 36, 35, 36, 34, 34, 34], 'Nk2': 12096, 'analytic_conductor': 53.888963457161495, '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': [336, 1, [127, 85, 113, 241], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 308, 'dim': 30, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 100663632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], 'id': 86519, 'label': '336.6.a', 'level': 336, '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': [2, 3, 7], 'level_radical': 42, 'mf_dim': 332, 'mf_new_dim': 30, 'num_forms': 24, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, -76, 98], 'traces': [30, 0, 0, 0, -76, 0, 98, 0, 2430, 0, -604, 0, 244, 0, 900, 0, -404, 0, -2360, 0, 0, 0, 836, 0, 21866, 0, 0, 0, 4492, 0, -7160, 0, 0, 0, 0, 0, 14412, 0, 12168, 0, 2476, 0, -5496, 0, -6156, 0, -5016, 0, 72030, 0, -20772, 0, 64972, 0, -70408, 0, 0, 0, 90024, 0, -66396, 0, 7938, 0, -86904, 0, 54944, 0, 22320, 0, 18860, 0, 25180, 0, -96624, 0, 7448, 0, 365960, 0, 196830, 0, 245264, 0, 283136, 0, 222696, 0, 285484, 0, -99372, 0, -792, 0, -318064, 0, -76740, 0, -48924, 0, 180100, 0, 268280, 0, 0, 0, 416756, 0, 74996, 0, 0, 0, -55780, 0, -117544, 0, 19764, 0, 0, 0, 604606, 0, -181548, 0, 36024, 0, 444136, 0, 64080, 0, 875024, 0, -176792, 0, 72900, 0, -393044, 0, 382080, 0, 195120, 0, -1282376, 0, 21976, 0, 0, 0, -533908, 0, 957840, 0, -32724, 0, 1650592, 0, -461404, 0, 1202544, 0, 485296, 0, -1279392, 0, -567864, 0, -187256, 0, 107762, 0, -191160, 0, 352708, 0, 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0, -17291412, 0, -3534572, 0, 985608, 0, -13417668, 0, 16317736, 0, 0, 0, 4285372, 0, 4732422, 0, 14259168, 0, 6466168, 0, -7748288, 0, 200556, 0, -3368260, 0, 3860948, 0, -9533160, 0, 8628584, 0, 4551272, 0, 4038192, 0, -15062352, 0, 317912, 0, -445176, 0, -2886212, 0, -8450168, 0, -2734344, 0, -10289104, 0, 9683332, 0, 2547216, 0, -10360804, 0, 12813712, 0, -498636, 0, 6457544, 0, 3975036, 0, 5609304, 0, 0, 0, 16984784, 0, 3094056, 0, -4172008, 0, -7677764, 0, -406296, 0, 10333796, 0, -7163604, 0, 2224080, 0, 24670812, 0, 6552748, 0, 7236504, 0, 25848112, 0, -21268928, 0, 5834430, 0, -24026596, 0, 14544752, 0, -13028976, 0, -673396, 0, -13630744, 0, -5408352, 0, 11926992, 0, -4583348, 0, -1682532, 0, 2931668, 0, -13745976, 0, 12690432, 0, 13790824, 0, -7075992, 0, 5221872, 0, -6771376, 0, 31940056, 0, 5262732, 0, 35051752, 0, 14632584, 0, -2799468, 0, 34244664, 0, 22848640, 0, -5101056, 0, -871300, 0, 4921640, 0, -5703048, 0, 217952, 0, -16411976, 0, -13478400, 0, -10053008, 0, 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54965124, 0, -8855484, 0, -35297640, 0, 2867872, 0, -66006808, 0, 12353904, 0, -30511784, 0, 973876, 0, -7826544, 0, 101378516, 0, 29108940, 0, -20301480, 0, -20171092, 0, -15781256, 0, -16479720, 0, -66192504, 0, 127142464, 0, 603288, 0, 42073392, 0, -15886736, 0, -30948696, 0, -34209284, 0, 59271312, 0, 14872176, 0, -30708104, 0, -34121436, 0, 29642760, 0, 5132624, 0, 66570352, 0, 7007184, 0, -161572672, 0, -4018392, 0, -20929032, 0, 19196612, 0, -37972424, 0, 15943230, 0, -29321840, 0, 7871588, 0, 2160900, 0, -48009536, 0, -102889216, 0, -32220576, 0, -100143300, 0, 6156200, 0, 19866384, 0, -8904280, 0, 80302768, 0, 18955800, 0, 116429888, 0, -19191356, 0, 40890816, 0, 31069148, 0, -16363060, 0, 22934016, 0, 35022736, 0, 27617516, 0, 348372, 0, 54257892, 0, -186647144, 0, 3171672, 0, -50076176, 0, -56249224, 0, 18038376, 0, -52013448, 0, -81307856, 0, -58533984, 0, 41838356, 0, 1497688, 0, -66746232, 0, 26278628, 0, -95501456, 0, 23124204, 0, 189291208, 0, 1704808, 0, 23475348, 0, 44119628, 0, 29515824, 0, 9494136, 0, 60843296, 0, -5100704, 0, -8049132, 0, 55428876, 0, 162799784, 0, -29237760, 0, 92928820, 0, 152022132, 0, -36764928, 0, -970004, 0, -121957328, 0, -64152, 0, -120901912, 0, -11742254, 0, -47937240, 0, -15078932, 0, 57800106, 0, 77004720, 0, -120483960, 0, -2354428, 0, -25763184, 0, 36278652, 0, 111532696, 0, -11254320, 0, 204074420, 0, -17413136, 0, -28429488, 0, 111171376, 0, -10911488, 0, -6215940, 0, -105630672, 0, 9140644, 0, 77230764, 0, -15380212, 0, 113019992, 0, -74898432, 0, -220209496, 0, 30578352, 0, -3962844, 0, 100885088, 0, 84335560, 0, -10245456, 0, -71633872, 0, -27133480, 0, 13046544, 0, -722552, 0, -46685064, 0, 14588100, 0, -59571332, 0, 149296288, 0, 101710296, 0, 10883488, 0, 117139408, 0, 3550896, 0, 189246760, 0, -41300924, 0, 21730680, 0, 27920412, 0, -5666360, 0, -50426784, 0, 213952352, 0, 7268700, 0, 52420176, 0, 13979028, 0, -328005560, 0, 0, 0, -119559532, 0, 17081544, 0, -72904032, 0, -9851636, 0, -83865048, 0, 71668368, 0, 83112428, 0, 36145950, 0, 33757236, 0, 56352312, 0, 2162744, 0, -125997552, 0, 265168688, 0, -37276064, 0, 25551288, 0, 27017836, 0, 232603944, 0, 6074676, 0, 110045600, 0, 6821736, 0, -23380056, 0, -71751024, 0, 87053504, 0, 40231584, 0, 69795488, 0, -143127068, 0, 0, 0], 'weight': 6, 'weight_parity': 1}