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mf_newforms • Show schema
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{'Nk2': 2304, 'analytic_conductor': 8.496275040826648, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [144, 1, [127, 37, 65], [1, 1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949220496, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '144.4.a.d', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '9.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-20q^{7}-70q^{13}-56q^{19}-5^{3}q^{25}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '144.4.a', 'trace_display': [0, 0, 0, -20], 'trace_hash': 1329435628791085473, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.434', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [1, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -125, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, 520, 0, 0, 0, 0, 0, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 182, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 1190, 0, 0, 0, 0, 0, -884, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1400, 0, 0, 0, 0, 0, -1330, 0, 0, 0, 0, 0, -1820, 0, 0, 0, 0, 0, -646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1331, 0, 0, 0, 0, 0, -380, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, 0, -2576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1748, 0, 0, 0, 0, 0, -3850, 0, 0, 0, 0, 0, 3400, 0, 0, 0, 0, 0, 2703, 0, 0, 0, 0, 0, 2500, 0, 0, 0, 0, 0, 3458, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1150, 0, 0, 0, 0, 0, 5236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6032, 0, 0, 0, 0, 0, 6160, 0, 0, 0, 0, 0, 3220, 0, 0, 0, 0, 0, 4466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7378, 0, 0, 0, 0, 0, 3920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2200, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, -24389, 0, 0, 0, 0, 0, 26620, 0, 0, 0, 0, 0, -46690, 0, 0, 0, 0, 0, -31304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61600, 0, 0, 0, 0, 0, 50150, 0, 0, 0, 0, 0, 20680, 0, 0, 0, 0, 0, 7600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2756, 0, 0, 0, 0, 0, -13750, 0, 0, 0, 0, 0, -3192, 0, 0, 0, 0, 0, -55510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -83300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65073, 0, 0, 0, 0, 0, 50020, 0, 0, 0, 0, 0, 51520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45628, 0, 0, 0, 0, 0, 28910, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-20], [0], [0], [0], [0], [0], [-70], [0], [0], [0], [0], [0], [-56], [0], [0], [0], [0], [0], [-125], [0], [0], [0], [0], [0], [-308], [0], [0], [0], [0], [0], [110], [0], [0], [0], [0], [0], [520], [0], [0], [0], [0], [0], [57], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [182], [0], [0], [0], [0], [0], [880], [0], [0], [0], [0], [0], [1190], [0], [0], [0], [0], [0], [-884], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1400], [0], [0], [0], [0], [0], [-1330], [0], [0], [0]], 'ap': [[0], [0], [0], [-20], [0], [-70], [0], [-56], [0], [0], [-308], [110], [0], [520], [0], [0], [0], [182], [880], [0], [1190], [-884], [0], [0], [-1330], [0], [-1820], [0], [-646], [0], [-380], [0], [0], [-2576], [0], [-1748], [-3850], [3400], [0], [0], [0], [3458], [0], [-1150], [0], [5236], [-6032], [3220], [0], [4466], [0], [0], [-7378], [0], [0], [0], [0], [-812], [-4030], [0], [-5600], [0], [-10640], [0], [10010], [0], [-992], [-4930], [0], [-11914], [0], [0], [-4340], [12350], [8584], [0], [0], [1190], [0], [8246], [0], [17138], [0], [-2590], [-14924], [0], [0], [12710], [0], [19780], [0], [0], [-20900], [0], [15136], [0], [0], [0], [12040], [-22678], [-1640], [0], [0], [0], [-23312], [-17710], [0], [0], [0], [-29302], [28420], [17390], [0], [26656], [-1892], [0], [-13160], [0], [0], [0], [-20482], [24050], [0], [0], [16072], [0], [36146], [0], [10780], [15050], [-31376], [0], [23452], [-41470], [0], [-4606], [0], [-43400], [0], [0], [-39368], [0], [12220], [0], [17066], [0], [-46690], [0], [-31304], [0], [50150], [0], [20680], [0], [-44840], [0], [-2756], [0], [-55510], [0], [0], [0], [50020], [0], [0], [0], [45628], [28910]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798949220496, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '144.4.a.d', 'level': 144, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 2, 2], [[[2, 1], [3, -1]], 2, 2], [[[2, -1], [3, 1]], 1, 1], [[[2, 1], [3, 1]], 2, 2]], 'ALdims': [2, 2, 1, 2], 'Nk2': 2304, 'analytic_conductor': 8.496275040826648, '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': [144, 1, [127, 37, 65], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 60, 'dim': 7, 'eis_dim': 24, 'eis_new_dim': 1, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 67109008, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1], 'label': '144.4.a', 'level': 144, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 84, 'mf_new_dim': 8, 'num_forms': 7, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 7, 'sturm_bound': 96, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [7, 0, 0, 0, 0, 0, 12, 0, 0, 0, -24, 0, 22, 0, 0, 0, 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0, 0, -2544, 0, 48720, 0, 0, 0, 82992, 0, -32004, 0, 0, 0, 17616, 0, -22330, 0, 0, 0, -26496, 0, 21160, 0, 0, 0, -32784, 0, 18992, 0, 0, 0, -59616, 0, 131532, 0, 0, 0, 49872, 0, -95986, 0, 0, 0, 18696, 0, 64152, 0, 0, 0, -77040, 0, 30734, 0, 0, 0, -28176, 0, 3572, 0, 0, 0, 9072, 0, 6080, 0, 0, 0, -47040, 0, -138352, 0, 0, 0, -43152, 0, -62300, 0, 0, 0, -2784, 0, -90528, 0, 0, 0, 24720, 0, 22656, 0, 0, 0, 44232, 0, 35168, 0, 0, 0, -34512, 0, -18304, 0, 0, 0, 114480, 0, 136828, 0, 0, 0, 95064, 0, 52870, 0, 0, 0, -36696, 0, 61536, 0, 0, 0, -4032, 0, -15347, 0, 0, 0, -82560, 0, 46620, 0, 0, 0, 35712, 0, -3598, 0, 0, 0, 46824, 0, -103200, 0, 0, 0, -3840, 0, 76656, 0, 0, 0, -41952, 0, -70736, 0, 0, 0, 39840, 0, 69642, 0, 0, 0, -22920, 0, -27008, 0, 0, 0, -61008, 0, 16272, 0, 0, 0, -192, 0, 181296, 0, 0, 0, -41616, 0, -8512, 0, 0, 0, 51168, 0, 70688, 0, 0, 0, -20544, 0, 73280, 0, 0, 0, 132192, 0, -86596, 0, 0, 0, -13632, 0, -64314, 0, 0, 0, -26040, 0, -115168, 0, 0, 0, -48480, 0, -83610, 0, 0, 0, -96192, 0, -100608, 0, 0, 0, 64680, 0, -67868, 0, 0, 0, 14760, 0, 13440, 0, 0, 0, 21552, 0, -72873, 0, 0, 0, -71808, 0, 172804, 0, 0, 0, -23736, 0, 88992, 0, 0, 0, -73080, 0, 160368, 0, 0, 0, 70320, 0, -83184, 0, 0, 0, -20928, 0, -34612, 0, 0, 0, 46320, 0, 113218, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 120745
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '9.4.a.a', 'target_level': 9, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 120746
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '9.4.a.a', 'target_level': 9, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 120747
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.4.c.b', 'target_level': 81, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 120748
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.4.c.b', 'target_level': 81, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 120749
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.4.a.d', 'target_level': 144, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 120750
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.4.a.d', 'target_level': 144, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 120751
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.a.d', 'target_level': 225, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 120752
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.4.a.d', 'target_level': 225, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 120753
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.4.b.g', 'target_level': 225, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 120754
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '225.4.b.g', 'target_level': 225, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 120755
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '441.4.a.f', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 120756
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '441.4.a.f', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 120757
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '441.4.e.i', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 120758
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '441.4.e.i', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 120759
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '441.4.e.j', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 120760
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '441.4.e.j', 'target_level': 441, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 120761
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.4.a.l', 'target_level': 576, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 120762
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.4.a.l', 'target_level': 576, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 120763
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '576.4.a.m', 'target_level': 576, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 120764
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '576.4.a.m', 'target_level': 576, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 120765
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1089.4.a.g', 'target_level': 1089, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 120766
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1089.4.a.g', 'target_level': 1089, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 120767
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1521.4.a.g', 'target_level': 1521, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 120768
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '144.4.a.d', 'source_level': 144, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1521.4.a.g', 'target_level': 1521, 'twist_class_label': '9.4.a.a', 'twist_class_level': 9, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 383200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 2}
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id: 383201
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 3}
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id: 383202
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 5}
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id: 383203
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 7}
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id: 383204
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 11}
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id: 383205
{'charpoly_factorization': [[[70, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 13}
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id: 383206
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 17}
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id: 383207
{'charpoly_factorization': [[[56, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 19}
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id: 383208
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 23}
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id: 383209
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 29}
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id: 383210
{'charpoly_factorization': [[[308, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 31}
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id: 383211
{'charpoly_factorization': [[[-110, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 37}
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id: 383212
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 41}
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id: 383213
{'charpoly_factorization': [[[-520, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 43}
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id: 383214
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 47}
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id: 383215
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 53}
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id: 383216
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 59}
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id: 383217
{'charpoly_factorization': [[[-182, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 61}
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id: 383218
{'charpoly_factorization': [[[-880, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 67}
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id: 383219
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 71}
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id: 383220
{'charpoly_factorization': [[[-1190, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 73}
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id: 383221
{'charpoly_factorization': [[[884, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 79}
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id: 383222
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 83}
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id: 383223
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 89}
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id: 383224
{'charpoly_factorization': [[[1330, 1], 1]], 'hecke_orbit_code': 13510798949220496, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '144.4.a.d', 'level': 144, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 134148000
{'hecke_orbit_code': 13510798949220496, 'n': 1, 'trace_an': 1}
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id: 134148001
{'hecke_orbit_code': 13510798949220496, 'n': 2, 'trace_an': 0}
-
id: 134148002
{'hecke_orbit_code': 13510798949220496, 'n': 3, 'trace_an': 0}
-
id: 134148003
{'hecke_orbit_code': 13510798949220496, 'n': 4, 'trace_an': 0}
-
id: 134148004
{'hecke_orbit_code': 13510798949220496, 'n': 5, 'trace_an': 0}
-
id: 134148005
{'hecke_orbit_code': 13510798949220496, 'n': 6, 'trace_an': 0}
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id: 134148006
{'hecke_orbit_code': 13510798949220496, 'n': 7, 'trace_an': -20}
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id: 134148007
{'hecke_orbit_code': 13510798949220496, 'n': 8, 'trace_an': 0}
-
id: 134148008
{'hecke_orbit_code': 13510798949220496, 'n': 9, 'trace_an': 0}
-
id: 134148009
{'hecke_orbit_code': 13510798949220496, 'n': 10, 'trace_an': 0}
-
id: 134148010
{'hecke_orbit_code': 13510798949220496, 'n': 11, 'trace_an': 0}
-
id: 134148011
{'hecke_orbit_code': 13510798949220496, 'n': 12, 'trace_an': 0}
-
id: 134148012
{'hecke_orbit_code': 13510798949220496, 'n': 13, 'trace_an': -70}
-
id: 134148013
{'hecke_orbit_code': 13510798949220496, 'n': 14, 'trace_an': 0}
-
id: 134148014
{'hecke_orbit_code': 13510798949220496, 'n': 15, 'trace_an': 0}
-
id: 134148015
{'hecke_orbit_code': 13510798949220496, 'n': 16, 'trace_an': 0}
-
id: 134148016
{'hecke_orbit_code': 13510798949220496, 'n': 17, 'trace_an': 0}
-
id: 134148017
{'hecke_orbit_code': 13510798949220496, 'n': 18, 'trace_an': 0}
-
id: 134148018
{'hecke_orbit_code': 13510798949220496, 'n': 19, 'trace_an': -56}
-
id: 134148019
{'hecke_orbit_code': 13510798949220496, 'n': 20, 'trace_an': 0}
-
id: 134148020
{'hecke_orbit_code': 13510798949220496, 'n': 21, 'trace_an': 0}
-
id: 134148021
{'hecke_orbit_code': 13510798949220496, 'n': 22, 'trace_an': 0}
-
id: 134148022
{'hecke_orbit_code': 13510798949220496, 'n': 23, 'trace_an': 0}
-
id: 134148023
{'hecke_orbit_code': 13510798949220496, 'n': 24, 'trace_an': 0}
-
id: 134148024
{'hecke_orbit_code': 13510798949220496, 'n': 25, 'trace_an': -125}
-
id: 134148025
{'hecke_orbit_code': 13510798949220496, 'n': 26, 'trace_an': 0}
-
id: 134148026
{'hecke_orbit_code': 13510798949220496, 'n': 27, 'trace_an': 0}
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