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mf_newforms • Show schema
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{'Nk2': 7168, 'analytic_conductor': 26.432855682571795, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [448, 6, [127, 197, 129], [3, 6, 1]], 'cm_discs': [], 'conrey_index': 255, 'conrey_indexes': [255, 383], 'dim': 48, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4676116197806541709109567689921, 0, 9394161400766762409131347842016, 0, 12686404844211936743585781455334, 0, 8886052974121192231073939387488, 0, 4356838756072247850806872344885, 0, 1284558218917654106446532410656, 0, 268384315640267182691984101010, 0, 40792489000176884633104315376, 0, 4756143179919866617599831642, 0, 431449248315000137169215264, 0, 31173615152506462376659038, 0, 1808464726268356068959616, 0, 85482265650796941761645, 0, 3316510092600763623008, 0, 106553225146940033694, 0, 2843568923387820624, 0, 63216983534888410, 0, 1167602862866208, 0, 17851857344466, 0, 223414613312, 0, 2257274037, 0, 17868192, 0, 106534, 0, 432, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029827878224320, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 28, 6, 1, 6, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '448.4.p.i', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '224.4.p.a', 'prim_orbit_index': 6, 'related_objects': [], 'relative_dim': 24, 'rm_discs': [], 'sato_tate_group': '3.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '448.4.p', 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 432, 0, 0, 0, -112, 0, 0, 0, 72, 0, 0, 0, 504, 0, 0, 0, 0, 0, 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label 448.4.p.i does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 7168, 'analytic_conductor': 26.432855682571795, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [448, 6, [127, 197, 129], [3, 6, 1]], 'conrey_index': 255, 'cusp_dim': 360, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1030859260352, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 6, 6, 20, 48], 'label': '448.4.p', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 408, 'mf_new_dim': 100, 'num_forms': 9, 'prim_orbit_index': 6, 'relative_dim': 46, 'sturm_bound': 256, 'trace_bound': 3, 'trace_display': [0, 0, 6, 0], 'traces': [92, 0, 0, 0, 6, 0, 0, 0, -380, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 190, 0, 0, 0, 948, 0, 0, 0, 408, 0, 0, 0, -6, 0, 0, 0, 498, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -4, 0, 0, 0, -374, 0, 0, 0, 100, 0, 0, 0, 6, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2442, 0, 0, 0, -1254, 0, 0, 0, -1844, 0, 0, 0, 2538, 0, 0, 0, -1954, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, -1116, 0, 0, 0, 5082, 0, 0, 0, 3480, 0, 0, 0, 3408, 0, 0, 0, 1448, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, -2698, 0, 0, 0, 590, 0, 0, 0, -13252, 0, 0, 0, -756, 0, 0, 0, 3922, 0, 0, 0, 0, 0, 0, 0, 12030, 0, 0, 0, -786, 0, 0, 0, -5226, 0, 0, 0, -11700, 0, 0, 0, 6, 0, 0, 0, -2246, 0, 0, 0, 0, 0, 0, 0, 4074, 0, 0, 0, -11856, 0, 0, 0, -930, 0, 0, 0, 6776, 0, 0, 0, 5658, 0, 0, 0, 2608, 0, 0, 0, 0, 0, 0, 0, -13716, 0, 0, 0, -11782, 0, 0, 0, -16280, 0, 0, 0, -19728, 0, 0, 0, 5958, 0, 0, 0, 158, 0, 0, 0, 0, 0, 0, 0, 3978, 0, 0, 0, -3386, 0, 0, 0, 2008, 0, 0, 0, 35604, 0, 0, 0, -6, 0, 0, 0, -8536, 0, 0, 0, 0, 0, 0, 0, -6594, 0, 0, 0, 17576, 0, 0, 0, 19850, 0, 0, 0, -9544, 0, 0, 0, -19494, 0, 0, 0, 3484, 0, 0, 0, 0, 0, 0, 0, 11082, 0, 0, 0, 16696, 0, 0, 0, 8410, 0, 0, 0, -51908, 0, 0, 0, -8214, 0, 0, 0, -7214, 0, 0, 0, 0, 0, 0, 0, 24624, 0, 0, 0, 10650, 0, 0, 0, 38612, 0, 0, 0, -3304, 0, 0, 0, 52158, 0, 0, 0, 25362, 0, 0, 0, 0, 0, 0, 0, -2790, 0, 0, 0, -8274, 0, 0, 0, -17004, 0, 0, 0, -123476, 0, 0, 0, 42144, 0, 0, 0, 16274, 0, 0, 0, 0, 0, 0, 0, -9732, 0, 0, 0, -26816, 0, 0, 0, -14614, 0, 0, 0, -12412, 0, 0, 0, 72870, 0, 0, 0, -13314, 0, 0, 0, 0, 0, 0, 0, -14838, 0, 0, 0, 5550, 0, 0, 0, 15016, 0, 0, 0, 44152, 0, 0, 0, 55260, 0, 0, 0, 30680, 0, 0, 0, 0, 0, 0, 0, 32070, 0, 0, 0, -22012, 0, 0, 0, -36474, 0, 0, 0, -23016, 0, 0, 0, -73362, 0, 0, 0, -28402, 0, 0, 0, 0, 0, 0, 0, 27174, 0, 0, 0, -35430, 0, 0, 0, 30132, 0, 0, 0, 160824, 0, 0, 0, -19224, 0, 0, 0, -31680, 0, 0, 0, 0, 0, 0, 0, 49764, 0, 0, 0, -22184, 0, 0, 0, -528, 0, 0, 0, 32900, 0, 0, 0, -62106, 0, 0, 0, 5506, 0, 0, 0, 0, 0, 0, 0, -16326, 0, 0, 0, -52716, 0, 0, 0, 11296, 0, 0, 0, -154496, 0, 0, 0, 40458, 0, 0, 0, -1582, 0, 0, 0, 0, 0, 0, 0, 54084, 0, 0, 0, -35986, 0, 0, 0, 33402, 0, 0, 0, -84652, 0, 0, 0, 130572, 0, 0, 0, -26290, 0, 0, 0, 0, 0, 0, 0, 36426, 0, 0, 0, 87072, 0, 0, 0, -9616, 0, 0, 0, -251828, 0, 0, 0, -6, 0, 0, 0, 50542, 0, 0, 0, 0, 0, 0, 0, -201960, 0, 0, 0, 38812, 0, 0, 0, -28246, 0, 0, 0, -64776, 0, 0, 0, 184194, 0, 0, 0, 51978, 0, 0, 0, 0, 0, 0, 0, 154764, 0, 0, 0, 79552, 0, 0, 0, -21362, 0, 0, 0, 114440, 0, 0, 0, -45270, 0, 0, 0, -22510, 0, 0, 0, 0, 0, 0, 0, -3090, 0, 0, 0, -47638, 0, 0, 0, 34848, 0, 0, 0, -12840, 0, 0, 0, -210906, 0, 0, 0, -4230, 0, 0, 0, 0, 0, 0, 0, -107880, 0, 0, 0, -176744, 0, 0, 0, -33856, 0, 0, 0, 232664, 0, 0, 0, -1722, 0, 0, 0, -100686, 0, 0, 0, 0, 0, 0, 0, 262044, 0, 0, 0, 54762, 0, 0, 0, 28712, 0, 0, 0, -48740, 0, 0, 0, -250842, 0, 0, 0, 57970, 0, 0, 0, 0, 0, 0, 0, 59322, 0, 0, 0, -149694, 0, 0, 0, 2072, 0, 0, 0, -129288, 0, 0, 0, -160710, 0, 0, 0, 49636, 0, 0, 0, 0, 0, 0, 0, 16398, 0, 0, 0, 143136, 0, 0, 0, 1508, 0, 0, 0, -9980, 0, 0, 0, 297390, 0, 0, 0, 76216, 0, 0, 0, 0, 0, 0, 0, -194772, 0, 0, 0, 144550, 0, 0, 0, -56642, 0, 0, 0, -392196, 0, 0, 0, 154476, 0, 0, 0, 116242, 0, 0, 0, 0, 0, 0, 0, -288930, 0, 0, 0, -27926, 0, 0, 0, -38046, 0, 0, 0, -12636, 0, 0, 0, 213630, 0, 0, 0, -98198, 0, 0, 0, 0, 0, 0, 0, -120870, 0, 0, 0, 289616, 0, 0, 0, 128698, 0, 0, 0, 363860, 0, 0, 0, 258432, 0, 0, 0, -3118, 0, 0, 0, 0, 0, 0, 0, -82926, 0, 0, 0, -39240, 0, 0, 0, 35494, 0, 0, 0, 103696, 0, 0, 0, -265410, 0, 0, 0, -20232, 0, 0, 0, 0, 0, 0, 0, 78024, 0, 0, 0, -257002, 0, 0, 0, 38648, 0, 0, 0, 325400, 0, 0, 0, -10902, 0, 0, 0, -188402, 0, 0, 0, 0, 0, 0, 0, 348318, 0, 0, 0, -66158, 0, 0, 0, -18872, 0, 0, 0, 68920, 0, 0, 0, -239484, 0, 0, 0, -70324, 0, 0, 0, 0, 0, 0, 0, 39078, 0, 0, 0, -155424, 0, 0, 0, -4482, 0, 0, 0, -178376, 0, 0, 0, 39708, 0, 0, 0, 50524, 0, 0, 0, 0, 0, 0, 0, 172590, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 328913
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.4.p.a', 'target_level': 224, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 328914
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.4.p.a', 'target_level': 224, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 328915
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.4.p.a', 'target_level': 224, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 328916
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '224.4.p.a', 'target_level': 224, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 328917
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.p.i', 'target_level': 448, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 328918
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.p.i', 'target_level': 448, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 328919
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.p.i', 'target_level': 448, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 328920
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 48, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '448.4.p.i', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 48, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.p.i', 'target_level': 448, 'twist_class_label': '224.4.p.a', 'twist_class_level': 224, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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hecke_orbit_code 36029827878224320 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 16, 'hecke_orbit': 9, 'label': '448.4.p.i', 'level': 448, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 202470000
{'hecke_orbit_code': 36029827878224320, 'n': 1, 'trace_an': 48}
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