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mf_newforms • Show schema
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{'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109], 'dim': 6, 'field_disc': -839056, 'field_disc_factorization': [[-1, 1], [2, 4], [229, 2]], 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[13, [56, -16, -4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355256, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '120.2.d.b', 'level': 120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.d.a', 'nf_label': '6.0.839056.1', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{2}q^{2}-q^{3}+(\\beta _{1}-\\beta _{3})q^{4}+(\\beta _{1}-\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '120.2.d', 'trace_display': [1, -6, 0, 0], 'trace_hash': 417809751186702488, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.545', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.656', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, -1, 0, 0], [0, 1, 0, -1, 0, 1], [0, 0, 1, 0, 0, 0], [0, -1, -1, 0, -1, 0], [0, 1, 0, -1, 1, 1], [1, 0, 0, 0, 0, 0], [-2, 1, 0, 0, 1, 0], [0, -1, -1, 0, 0, 1], [0, -1, 0, 1, 0, 0], [2, -1, 1, 2, -1, 0], [-2, 0, 0, -2, 0, 0], [0, -1, 0, 1, 0, -1], [0, 1, 0, 1, 1, -1], [0, -1, 1, 0, 1, 0], [0, 0, -1, 0, 0, 0], [0, -2, 0, 0, -1, -1], [2, 1, 2, 1, 0, 0], [0, 1, 1, 0, 1, 0], [-2, 0, 0, 0, 0, -2], [0, 2, 0, 0, -1, -1], [0, -1, 0, 1, -1, -1], [1, -1, 1, 2, 0, 1], [-2, -2, -2, 2, -2, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 2, -2, 2, 0], [0, 1, -1, 0, -2, -1], [2, -1, 0, 0, -1, 0], [-2, 0, 2, 0, -1, 1], [4, 1, 0, 1, -1, 1], [0, 1, 1, 0, 0, -1], [2, -2, 0, 2, 0, -2], [0, 1, 1, -2, 3, 0], [0, 1, 0, -1, 0, 0], [2, 1, -1, -2, 1, 0], [0, -2, 0, -2, 0, 0], [-2, 1, -1, -2, 1, 0], [0, -1, -2, 3, -1, 1], [-2, 0, -4, 0, 2, -2], [2, 0, 0, 2, 0, 0], [0, -2, -2, 4, 0, -2], [4, 0, 2, -2, 0, 2], [0, 1, 0, -1, 0, 1], [0, 2, 0, -2, 0, 4], 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[6, -1, -11, 2, 5, -6]], 'char_orbit_index': 4, 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'hecke_orbit_code': 4503805819355256, 'hecke_ring_character_values': [[31, [1, 0, 0, 0, 0, 0]], [61, [-1, 0, 0, 0, 0, 0]], [41, [1, 0, 0, 0, 0, 0]], [97, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2, 2, 2], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0], [-4, 1, 1, -2, 0, 1], [0, -1, -2, 0, -2, 0], [14, -5, -3, 10, -1, -4], [0, 5, 17, 0, 16, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 4, 0, 1, 0, 0], [3, 5, 5, 5, 1, 1], [-1, -3, 3, -5, 1, -1], [-3, -9, -5, -7, -1, -1], [3, -19, 5, -17, 1, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '120.2.d.b', 'level': 120, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [2, 1, 2, 1]], 'conrey_index': 109, 'cusp_dim': 20, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [13], 'hecke_orbit_code': 206191984760, 'hecke_orbit_dims': [6, 6], 'label': '120.2.d', 'level': 120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 28, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 12, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 2, 0, -2, 0, 0, 12, -10, 0, 0, 0, -20, 0, 2, 0, 0, 0, -4, 0, 0, 0, -2, 4, -28, 0, 0, 0, 12, -32, 0, 0, 24, 0, 2, 0, 0, -16, 22, -8, 0, 0, 44, 0, -4, 0, 0, -12, 0, 0, 0, 0, -2, -16, 52, 0, 0, 0, -22, 0, 0, 0, -46, -24, 20, 0, 0, 0, 32, 32, 0, 0, 36, 0, 12, 0, 0, 32, -12, 12, 0, 0, -4, 0, 40, 0, 0, -40, -10, 0, 0, 0, -4, 64, -42, 0, 0, 0, -54, 0, 0, 0, -52, -8, 12, 0, 0, 0, -20, -32, 0, 0, -4, 0, -88, 0, 0, 32, 28, 4, 0, 0, -16, 0, -20, 0, 0, 0, -16, 0, 0, 0, -40, 0, -32, 0, 0, 0, 44, 0, 0, 0, 2, -8, -96, 0, 0, 0, 30, 64, 0, 0, -8, 0, 52, 0, 0, 48, -2, 16, 0, 0, 20, 0, -56, 0, 0, 36, 56, 0, 0, 0, 24, 48, 92, 0, 0, 0, -4, 0, 0, 0, 68, 24, 56, 0, 0, 0, 44, -96, 0, 0, 48, 0, 86, 0, 0, -96, -88, 0, 0, 0, -48, 0, 108, 0, 0, -16, -44, 0, 0, 0, 8, -128, -2, 0, 0, 0, 8, 0, 0, 0, 20, 4, 72, 0, 0, 0, -104, 48, 0, 0, -28, 0, -52, 0, 0, -96, 42, -8, 0, 0, 8, 0, -100, 0, 0, -32, -18, 0, 0, 0, 28, -32, -62, 0, 0, 0, 84, 0, 0, 0, 36, -64, -120, 0, 0, 0, 12, -128, 0, 0, -152, 0, 92, 0, 0, -32, 56, 88, 0, 0, -16, 0, -88, 0, 0, 60, 128, 0, 0, 0, 42, 0, 60, 0, 0, 0, -40, 0, 0, 0, 124, 96, 24, 0, 0, 0, -24, 32, 0, 0, 20, 0, 16, 0, 0, 128, -108, -48, 0, 0, 2, 0, 120, 0, 0, 112, -48, 0, 0, 0, 44, 128, -100, 0, 0, 0, 0, 0, 0, 0, -88, 16, 108, 0, 0, 0, -116, -16, 0, 0, -60, 0, -204, 0, 0, 64, 22, -12, 0, 0, -104, 0, -88, 0, 0, -8, -32, 0, 0, 0, 32, 48, -108, 0, 0, 0, 120, 0, 0, 0, 54, 0, -32, 0, 0, 0, 44, 192, 0, 0, -68, 0, 44, 0, 0, 112, -6, -40, 0, 0, 24, 0, -32, 0, 0, -152, 108, 0, 0, 0, -4, -48, 172, 0, 0, 0, -56, 0, 0, 0, -52, -80, 96, 0, 0, 0, 0, 64, 0, 0, 32, 0, 168, 0, 0, -64, -124, -12, 0, 0, -60, 0, 156, 0, 0, 24, 0, 0, 0, 0, 136, -160, -108, 0, 0, 0, -84, 0, 0, 0, -8, -40, 56, 0, 0, 0, -72, 64, 0, 0, -56, 0, -192, 0, 0, -160, 60, -128, 0, 0, -66, 0, -2, 0, 0, 16, -30, 0, 0, 0, -104, -16, -96, 0, 0, 0, 100, 0, 0, 0, 52, 168, -152, 0, 0, 0, 64, -32, 0, 0, 184, 0, 88, 0, 0, -160, 72, -168, 0, 0, 28, 0, -116, 0, 0, -92, 48, 0, 0, 0, 28, 0, 88, 0, 0, 0, -22, 0, 0, 0, 112, -80, 136, 0, 0, 0, 128, -64, 0, 0, 20, 0, 60, 0, 0, 96, -84, 48, 0, 0, 12, 0, 264, 0, 0, -104, -72, 0, 0, 0, 56, 160, -46, 0, 0, 0, 32, 0, 0, 0, -48, -24, 76, 0, 0, 0, -68, -80, 0, 0, 20, 0, -104, 0, 0, 256, 54, 40, 0, 0, 0, 0, -72, 0, 0, 80, -88, 0, 0, 0, -200, 80, -8, 0, 0, 0, 112, 0, 0, 0, 4, 44, -208, 0, 0, 0, 32, -32, 0, 0, -84, 0, 52, 0, 0, 32, 126, 88, 0, 0, 200, 0, -128, 0, 0, 224, 100, 0, 0, 0, 40, -128, 180, 0, 0, 0, -84, 0, 0, 0, -104, 80, 36, 0, 0, 0, 0, 160, 0, 0, 16, 0, -82, 0, 0, -128, 16, 32, 0, 0, 12, 0, 56, 0, 0, -16, -84, 0, 0, 0, -168, -128, -120, 0, 0, 0, -80, 0, 0, 0, -68, 64, 24, 0, 0, 0, -128, 32, 0, 0, 16, 0, -132, 0, 0, -256, -12, 256, 0, 0, -8, 0, -142, 0, 0, 12, -192, 0, 0, 0, -164, -128, -124, 0, 0, 0, 4, 0, 0, 0, 16, -120, -220, 0, 0, 0, 68, -32, 0, 0, -128, 0, -4, 0, 0, -176, 4, 24, 0, 0, 160, 0, 140, 0, 0, 72, 48, 0, 0, 0, 40, 112, 288, 0, 0, 0, -56, 0, 0, 0, -170, 24, 68, 0, 0, 0, 24, -96, 0, 0, 148, 0, 192, 0, 0, 32, -8, -40, 0, 0, -88, 0, 96, 0, 0, 152, -10, 0, 0, 0, 8, 96, -16, 0, 0, 0, -200, 0, 0, 0, -44, 80, 120, 0, 0, 0, -32, -64, 0, 0, -36, 0, -24, 0, 0, 448, 84, -84, 0, 0, 108, 0, -4, 0, 0, -128, 56, 0, 0, 0, -16, 64, 8, 0, 0, 0, 88, 0, 0, 0, -42, -16, -192, 0, 0, 0, 72, -96, 0, 0, 232, 0, 112, 0, 0, 160, 88, -232, 0, 0, 64, 0, -136, 0, 0, -128, 12, 0, 0, 0, 72, -32, 116, 0, 0, 0, -54, 0, 0, 0, 256, -16, 40, 0, 0, 0, 216, 192, 0, 0, 128, 0, -168, 0, 0, -256, -24, -16, 0, 0, 8, 0, 92, 0, 0, -8, -32, 0, 0, 0, 72, -128, -52, 0, 0, 0, -4, 0, 0, 0, -292, -8, 80, 0, 0, 0, 16, 16, 0, 0, 12, 0, -192, 0, 0, -288, 42, -84, 0, 0, 196, 0, -24, 0, 0, 32, 48, 0, 0, 0, 44, -176, -152, 0, 0, 0, 84, 0, 0, 0, -20, 16, 16, 0, 0, 0, -20, 32, 0, 0, -96, 0, 104, 0, 0, -32, 14], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 103166
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 103167
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 103168
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 103169
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 103170
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 103171
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 103172
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 103173
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 103174
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 103175
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 103176
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 103177
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 103178
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 103179
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 103180
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 103181
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 103182
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 103183
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 103184
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 103185
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 103186
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 103187
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 103188
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 103189
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 103190
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 103191
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 103192
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 103193
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '120.2.d.b', 'source_level': 120, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 339150
{'charpoly_factorization': [[[8, -4, 0, 0, 0, -1, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 2}
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id: 339151
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 4503805819355256, 'p': 3}
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id: 339152
{'charpoly_factorization': [[[125, 0, -5, 8, -1, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 5}
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id: 339153
{'charpoly_factorization': [[[64, 0, 128, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 7}
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id: 339154
{'charpoly_factorization': [[[64, 0, 96, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 11}
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id: 339155
{'charpoly_factorization': [[[56, -16, -4, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 13}
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id: 339156
{'charpoly_factorization': [[[1024, 0, 368, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 17}
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id: 339157
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 19}
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id: 339158
{'charpoly_factorization': [[[16384, 0, 2304, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 23}
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id: 339159
{'charpoly_factorization': [[[12544, 0, 3120, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 29}
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id: 339160
{'charpoly_factorization': [[[-64, -4, 8, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 31}
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id: 339161
{'charpoly_factorization': [[[8, 0, -8, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 37}
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id: 339162
{'charpoly_factorization': [[[56, -100, 2, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 41}
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id: 339163
{'charpoly_factorization': [[[-64, -64, 0, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 43}
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id: 339164
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 47}
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id: 339165
{'charpoly_factorization': [[[-8, 32, 12, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 53}
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id: 339166
{'charpoly_factorization': [[[179776, 0, 9888, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 59}
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id: 339167
{'charpoly_factorization': [[[65536, 0, 7168, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 61}
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id: 339168
{'charpoly_factorization': [[[64, -64, 0, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 67}
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id: 339169
{'charpoly_factorization': [[[128, -80, -8, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 71}
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id: 339170
{'charpoly_factorization': [[[16384, 0, 34560, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 73}
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id: 339171
{'charpoly_factorization': [[[64, -4, -8, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 79}
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id: 339172
{'charpoly_factorization': [[[448, -64, -8, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 83}
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id: 339173
{'charpoly_factorization': [[[-1384, -164, 10, 1], 2]], 'hecke_orbit_code': 4503805819355256, 'p': 89}
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id: 339174
{'charpoly_factorization': [[[262144, 0, 28416, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 4503805819355256, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '120.2.d.b', 'level': 120, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 83306000
{'hecke_orbit_code': 4503805819355256, 'n': 1, 'trace_an': 6}
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id: 83306001
{'hecke_orbit_code': 4503805819355256, 'n': 2, 'trace_an': 1}
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id: 83306002
{'hecke_orbit_code': 4503805819355256, 'n': 3, 'trace_an': -6}
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id: 83306003
{'hecke_orbit_code': 4503805819355256, 'n': 4, 'trace_an': 1}
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id: 83306004
{'hecke_orbit_code': 4503805819355256, 'n': 5, 'trace_an': 0}
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id: 83306005
{'hecke_orbit_code': 4503805819355256, 'n': 6, 'trace_an': -1}
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id: 83306006
{'hecke_orbit_code': 4503805819355256, 'n': 7, 'trace_an': 0}
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id: 83306007
{'hecke_orbit_code': 4503805819355256, 'n': 8, 'trace_an': 1}
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id: 83306008
{'hecke_orbit_code': 4503805819355256, 'n': 9, 'trace_an': 6}
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id: 83306009
{'hecke_orbit_code': 4503805819355256, 'n': 10, 'trace_an': -11}
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