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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 9, -3, 0, 3, 1]], [5, [9, 0, 36, 30, 0, -3, 1]], [7, [289, -153, 36, -10, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166203097, 'hecke_ring_generator_nbound': 4, '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, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '729.2.e.c', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '243.2.a.e', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{18}+\\zeta_{18}^{2}-\\zeta_{18}^{3}-\\zeta_{18}^{4})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.e', 'trace_display': [-3, 0, 3, 0], 'trace_hash': 400199270711921840, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '97.434', 'prec': 20}, {'__RealLiteral__': 0, 'data': '46.855', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 1, 1, -1, -1, 0], [0, 0, 0, 0, 0, 0], [1, -2, 0, 1, 1, -1], [0, 0, -2, 1, -1, 2], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 2, -1, 1], [0, 2, 1, -2, 1, 2], [0, 0, 0, 0, 0, 0], [0, -2, 1, 0, 1, 1], [-1, -1, -3, -2, 0, 2], [0, 0, 0, 0, 0, 0], [1, -2, -1, -2, 1, 0], [4, -1, -1, -1, 4, 0], [0, 0, 0, 0, 0, 0], [0, -1, 3, 3, 0, -3], [-3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 3, 1, 3, 0], [2, 0, -2, 0, -1, 2], [0, 0, 0, 0, 0, 0], [-5, -5, 0, 4, 1, 0], [-1, -2, 0, 3, 3, -2], [0, 0, 0, 0, 0, 0], [-1, 1, -5, 5, -1, 1], [-4, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [-4, 3, 3, 0, -6, 3], [-3, 4, -2, 2, -4, 3], [0, 0, 0, 0, 0, 0], [1, 1, 0, -2, -2, 4], [0, 0, 0, -3, 3, 0], [0, 0, 0, 0, 0, 0], [3, 0, -3, 0, 3, 3], [0, 1, -4, 2, -4, 1], [0, 0, 0, 0, 0, 0], [1, -3, 3, -1, 0, 0], [1, 4, 3, 2, 0, -2], [0, 0, 0, 0, 0, 0], [1, -5, 3, -5, 1, 0], [-5, 2, -1, 2, -5, 0], [0, 0, 0, 0, 0, 0], [-1, 4, 1, 2, 0, -2], [5, 2, -5, -5, 3, 3], [0, 0, 0, 0, 0, 0], [0, 7, -2, -3, -2, 7], [-5, 0, 5, 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-15, -23, 19, -4, 23], [17, -1, 6, -11, 0, 11], [10, 10, 2, 10, 10, 0], [11, -16, 4, -4, 16, -11], [18, 1, 19, -19, -1, -18], [0, -9, 12, 9, 12, -9], [32, 13, 13, -19, 0, 19], [15, -24, -24, 0, 0, 24], [2, 0, -2, -13, -1, -11], [21, 12, 0, -21, -12, -12], [2, 14, 10, -10, -14, -2], [16, -2, 0, -14, -14, 13], [19, 0, 15, -19, -15, -15], [-14, 14, 23, 14, -14, 0], [13, 13, 25, 10, -23, -25], [-25, -6, -6, 0, -15, 21], [9, 9, 25, 10, -19, -25], [16, -5, -10, -5, 16, 0], [0, 6, 27, 0, -33, -33], [1, -20, 0, 19, 19, -8], [4, -19, -16, -19, 4, 0], [-18, 9, 9, 0, -9, 0], [17, -3, -3, 0, 0, 3], [-7, -13, 9, 16, 0, -16], [-5, 1, 17, 1, -5, 0], [9, 15, -18, -9, 3, 3], [0, -24, 6, -8, 6, -24], [-21, 4, -11, 11, -4, 21], [-4, -17, -11, -7, 0, 7], [4, 0, -4, -3, -17, 1], [-14, -14, -29, 10, 4, 29], [3, -12, -12, 0, -9, 21], [-5, 10, -10, 10, -5, 0], [-3, 18, 0, 3, -18, -18], [0, -24, 24, 1, 24, -24], [2, -11, 0, 9, 9, 1], [-4, 4, 4, 8, 0, -8], [-5, 0, 5, -9, -2, -14], [11, -6, -6, 0, -6, 12], [11, 23, 0, -11, 0, 11], [0, 15, -9, -8, -9, 15], [5, 16, 0, -21, -21, 22], [-9, 10, 10, -10, -10, 9], [0, 18, -18, 3, -18, 18], [4, 4, -23, 13, -17, 23], [24, 3, 3, 0, -18, 15], [18, 18, 16, 1, -19, -16], [2, 14, 0, -2, 0, 2], [0, 0, 0, -2, 0, 0], [-28, 5, -23, 23, -5, 28]], 'char_orbit_index': 5, 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'hecke_orbit_code': 9007474166203097, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 6, 'label': '729.2.e.c', 'level': 729, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 473427
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '243.2.a.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473428
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '243.2.a.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473429
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '243.2.c.e', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473430
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '243.2.c.f', 'target_level': 243, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473431
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.e.a', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473432
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.e.a', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473433
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '729.2.e.b', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473434
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '729.2.e.b', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473435
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.e.c', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473436
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.e.c', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473437
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '729.2.e.g', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473438
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '729.2.e.g', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473439
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '729.2.e.h', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473440
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '729.2.e.h', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473441
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '729.2.e.i', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473442
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '729.2.e.i', 'target_level': 729, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473443
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3888.2.a.bd', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '108.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 473444
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3888.2.a.bk', 'target_level': 3888, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '108.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 473445
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '6075.2.a.bq', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '135.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 473446
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.e.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '6075.2.a.bv', 'target_level': 6075, 'twist_class_label': '243.2.a.e', 'twist_class_level': 243, 'twisting_char_label': '135.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1260025
{'charpoly_factorization': [[[9, 0, 9, -3, 0, 3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 2}
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id: 1260026
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007474166203097, 'p': 3}
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id: 1260027
{'charpoly_factorization': [[[9, 0, 36, 30, 0, -3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 5}
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id: 1260028
{'charpoly_factorization': [[[289, -153, 36, -10, 0, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 7}
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id: 1260029
{'charpoly_factorization': [[[9, -81, 306, 132, 54, 12, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 11}
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id: 1260030
{'charpoly_factorization': [[[289, -153, 36, -10, 0, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 13}
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id: 1260031
{'charpoly_factorization': [[[9, 3, 1], 3]], 'hecke_orbit_code': 9007474166203097, 'p': 17}
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id: 1260032
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 19}
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id: 1260033
{'charpoly_factorization': [[[2601, 1377, 387, 84, 0, -3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 23}
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id: 1260034
{'charpoly_factorization': [[[3249, 4617, 2952, 591, 81, 12, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 29}
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id: 1260035
{'charpoly_factorization': [[[361, 171, 1008, -127, -27, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 31}
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id: 1260036
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 37}
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id: 1260037
{'charpoly_factorization': [[[47961, 29565, 9486, 1920, 270, 24, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 41}
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id: 1260038
{'charpoly_factorization': [[[361, 171, 1008, -127, -27, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 43}
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id: 1260039
{'charpoly_factorization': [[[71289, 36045, 12780, 2967, 405, 30, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 47}
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id: 1260040
{'charpoly_factorization': [[[-81, 81, -18, 1], 2]], 'hecke_orbit_code': 9007474166203097, 'p': 53}
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id: 1260041
{'charpoly_factorization': [[[103041, 8667, -450, -456, 27, -3, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 59}
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id: 1260042
{'charpoly_factorization': [[[2809, 1908, 216, -622, 144, -9, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 61}
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id: 1260043
{'charpoly_factorization': [[[11881, -6867, 1620, 431, 117, 18, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 67}
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id: 1260044
{'charpoly_factorization': [[[998001, -161838, 35235, -540, 243, -9, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 71}
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id: 1260045
{'charpoly_factorization': [[[157609, 27393, 7143, 380, 105, 6, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 73}
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id: 1260046
{'charpoly_factorization': [[[2809, 2385, 2601, 1160, 270, 27, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 79}
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id: 1260047
{'charpoly_factorization': [[[2601, -4131, 2412, -597, 81, -6, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 83}
-
id: 1260048
{'charpoly_factorization': [[[998001, 188811, 35721, 1998, 189, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 89}
-
id: 1260049
{'charpoly_factorization': [[[361, 2736, 6300, 2141, 324, 0, 1], 1]], 'hecke_orbit_code': 9007474166203097, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '729.2.e.c', 'level': 729, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 118120000
{'hecke_orbit_code': 9007474166203097, 'n': 1, 'trace_an': 6}
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id: 118120001
{'hecke_orbit_code': 9007474166203097, 'n': 2, 'trace_an': -3}
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id: 118120002
{'hecke_orbit_code': 9007474166203097, 'n': 3, 'trace_an': 0}
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id: 118120003
{'hecke_orbit_code': 9007474166203097, 'n': 4, 'trace_an': 9}
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{'hecke_orbit_code': 9007474166203097, 'n': 995, 'trace_an': 24}
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id: 118120995
{'hecke_orbit_code': 9007474166203097, 'n': 996, 'trace_an': 0}
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id: 118120996
{'hecke_orbit_code': 9007474166203097, 'n': 997, 'trace_an': -99}
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id: 118120997
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id: 118120998
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id: 118120999
{'hecke_orbit_code': 9007474166203097, 'n': 1000, 'trace_an': 126}