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mf_newforms • Show schema
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{'Nk2': 3364, 'analytic_conductor': 6.71541880998968, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [841, 2, [2], [1]], 'cm_discs': [], 'conrey_index': 840, 'dim': 6, 'field_disc': -153664, 'field_disc_factorization': [[-1, 1], [2, 6], [7, 4]], 'field_poly': [1, 0, 6, 0, 5, 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': [[2, [1, 0, 6, 0, 5, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007773001, 'hecke_ring_generator_nbound': 2, '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, 29, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '841.2.b.c', 'level': 841, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [29], 'level_radical': 29, 'minimal_twist': '29.2.d.a', 'nf_label': '6.0.153664.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{3}q^{3}+\\beta _{2}q^{4}+(2-\\beta _{2}+\\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': '841.2.b', 'trace_display': [0, 0, 6, -6], 'trace_hash': 1292924057291166515, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.736', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.174', 'prec': 17}, {'__RealLiteral__': 0, 'data': '178.754', 'prec': 24}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [2, 0, -1, 0, -2, 0], [-1, 0, 0, 0, 1, 0], [-1, 0, 1, 0, -1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, -2], [0, -1, 0, -2, 0, -2], [0, 0, 0, 1, 0, 1], [-2, 0, 4, 0, 1, 0], [0, -3, 0, 2, 0, -1], [0, 2, 0, 1, 0, -3], [-3, 0, 3, 0, 1, 0], [0, 0, 0, -2, 0, -2], [0, 2, 0, -1, 0, 1], [0, -2, 0, 1, 0, 2], [1, 0, -1, 0, -1, 0], [0, 1, 0, 0, 0, 0], [4, 0, -1, 0, 0, 0], [-4, 0, 3, 0, 2, 0], [-3, 0, 0, 0, 2, 0], [4, 0, -3, 0, -7, 0], [0, -5, 0, 3, 0, 1], [0, -1, 0, 4, 0, 1], [2, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-5, 0, 2, 0, 4, 0], [0, 1, 0, 1, 0, 5], [0, -3, 0, 4, 0, 1], [3, 0, 2, 0, -1, 0], [2, 0, 0, 0, 0, 0], [2, 0, -1, 0, -1, 0], [-1, 0, 2, 0, 0, 0], [0, -1, 0, -2, 0, -2], [3, 0, -2, 0, -1, 0], [0, -1, 0, 2, 0, 5], [0, 3, 0, 2, 0, -5], [0, -2, 0, 0, 0, 4], [-2, 0, 1, 0, 0, 0], [0, -3, 0, 3, 0, 1], [0, 3, 0, -5, 0, -4], [-1, 0, 0, 0, 0, 0], [0, -5, 0, 1, 0, 2], [0, -1, 0, 0, 0, -6], 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[-28, 0, 5, 0, -10, 0], [0, 5, 0, -9, 0, -43], [0, -13, 0, 8, 0, 30], [0, 11, 0, -27, 0, -11], [0, -13, 0, 12, 0, -2], [0, 8, 0, -7, 0, -22], [0, 0, 0, -19, 0, 0], [15, 0, -15, 0, -5, 0], [0, 19, 0, -29, 0, -17], [0, 4, 0, -7, 0, -16], [5, 0, -9, 0, -7, 0], [0, 9, 0, -17, 0, 7], [0, -4, 0, -1, 0, 12], [-38, 0, 32, 0, 20, 0], [-10, 0, 0, 0, -3, 0], [0, 13, 0, -14, 0, 6], [0, -25, 0, 9, 0, -3], [0, 4, 0, 22, 0, 16], [0, 7, 0, -3, 0, -45], [0, 18, 0, -20, 0, -20], [0, 0, 18, 0, 7, 0], [0, -27, 0, 34, 0, 12], [-7, 0, -23, 0, -3, 0], [-1, 0, 9, 0, 15, 0], [0, -1, 0, 8, 0, 24], [22, 0, -4, 0, 3, 0], [0, 6, 0, -30, 0, -18], [0, 17, 0, -30, 0, 0], [0, -12, 0, 0, 0, -4], [0, 0, -8, 0, -9, 0], [-4, 0, 2, 0, -10, 0], [2, 0, 20, 0, 15, 0], [12, 0, -10, 0, -17, 0], [0, 24, 0, -19, 0, -2], [-7, 0, 25, 0, 31, 0], [0, -10, 0, -25, 0, -6], [0, -11, 0, 27, 0, 27], [26, 0, 12, 0, 3, 0], [0, 2, 0, -11, 0, 18], [-12, 0, 17, 0, -4, 0], [0, 23, 0, -18, 0, -26]], 'char_orbit_index': 2, 'field_poly': [1, 0, 6, 0, 5, 0, 1], 'hecke_orbit_code': 9007268007773001, 'hecke_ring_character_values': [[2, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0], [0, -3, 0, 1, 0, 0], [5, 0, -3, 0, 1, 0], [0, 9, 0, -4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0], [0, 3, 0, 1, 0, 0], [1, 0, 3, 0, 1, 0], [0, 3, 0, 4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '841.2.b.c', 'level': 841, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3364, 'analytic_conductor': 6.71541880998968, 'char_conductor': 29, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [841, 2, [2], [1]], 'conrey_index': 840, 'cusp_dim': 58, 'dim': 54, 'eis_dim': 30, 'eis_new_dim': 26, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68753032009, 'hecke_orbit_dims': [4, 4, 6, 12, 12, 16], 'label': '841.2.b', 'level': 841, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [29], 'level_radical': 29, 'mf_dim': 88, 'mf_new_dim': 80, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 145, 'trace_bound': 4, 'trace_display': [0, 0, 6, -4], 'traces': [54, 0, 0, -36, 6, -10, -4, 0, -24, 0, 0, 0, 2, 0, 0, 16, 0, 0, 0, -18, 0, 4, -12, 16, -8, 0, 0, 6, 0, 8, 0, 0, -16, -26, 12, -26, 0, -6, 0, 0, 0, -26, 0, 0, -6, 0, 0, 0, -22, 0, 16, 0, 22, -4, 0, 0, -4, 0, -38, 0, 0, 84, 4, 10, 0, 0, -18, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 22, 0, -16, -30, -10, 14, 0, 0, -40, 0, -26, 0, 0, -8, 26, -40, 18, 0, 102, 0, 0, 0, 84, 0, 0, 20, 0, 0, 0, -30, 0, -14, -14, 4, 22, 0, 0, 32, 0, -14, 0, 0, 8, 68, 48, 36, 0, -24, 0, 0, 0, 20, 0, 0, -58, 0, 0, 0, 42, 0, -86, 26, -10, 12, 0, 0, 68, 0, -20, 0, 0, -38, -72, 4, 28, 0, 6, 0, 0, 0, -58, 0, 0, -12, 0, 0, 0, 52, 0, 20, 58, -84, -62, 0, 0, 2, 0, -32, 0, 0, 18, -6, -8, 2, 0, 8, 0, 0, 0, -36, 0, 0, 22, 0, 0, 0, 94, 0, 84, 58, 10, -12, 0, 0, -106, 0, -66, 0, 0, 4, -38, -12, -70, 0, -80, 0, 0, 0, -32, 0, 0, 20, 0, 0, 0, 48, 0, 136, 72, -8, 42, 0, 0, -46, 0, 0, 0, 0, 76, -2, -76, 8, 0, 40, 0, 0, 0, -40, 0, 0, -110, 0, 0, 0, -180, 0, -24, -34, -108, 16, 0, 0, -16, 0, 46, 0, 0, -76, -24, -10, 78, 0, 70, 0, 0, 0, 12, 0, 0, 18, 0, 0, 0, 14, 0, -50, 32, 32, 32, 0, 0, 158, 0, -60, 0, 0, 34, 16, 202, 22, 0, -12, 0, 0, 0, 56, 0, 0, 84, 0, 0, 0, -56, 0, -66, -44, -24, -130, 0, 0, 46, 0, 106, 0, 0, -28, 74, -18, -54, 0, -30, 0, 0, 0, -68, 0, 0, 82, 0, 0, 0, -12, 0, -2, -208, 70, 66, 0, 0, 0, 0, 6, 0, 0, -32, -6, -106, 28, 0, 82, 0, 0, 0, 134, 0, 0, -78, 0, 0, 0, 58, 0, -48, 62, 152, 94, 0, 0, -56, 0, 18, 0, 0, -34, -8, -38, -188, 0, -102, 0, 0, 0, 196, 0, 0, -12, 0, 0, 0, 44, 0, -44, -154, 0, -32, 0, 0, -118, 0, 6, 0, 0, 58, -88, -76, -2, 0, -64, 0, 0, 0, -86, 0, 0, 82, 0, 0, 0, 44, 0, 58, 56, 148, -10, 0, 0, 4, 0, 58, 0, 0, 40, 272, 180, 70, 0, 16, 0, 0, 0, -116, 0, 0, 6, 0, 0, 0, -176, 0, -40, -14, 68, -194, 0, 0, -96, 0, 126, 0, 0, -24, -76, -80, 96, 0, -82, 0, 0, 0, -82, 0, 0, -106, 0, 0, 0, -152, 0, 10, 36, -2, 152, 0, 0, 204, 0, 26, 0, 0, -32, 0, -10, 98, 0, 6, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 64, 0, -72, -24, 60, 66, 0, 0, 24, 0, 4, 0, 0, -48, -100, 142, -250, 0, 68, 0, 0, 0, 72, 0, 0, 42, 0, 0, 0, -34, 0, -26, 88, -266, -50, 0, 0, -36, 0, 138, 0, 0, -76, -124, -78, -154, 0, -108, 0, 0, 0, -70, 0, 0, 122, 0, 0, 0, -30, 0, -98, 32, 6, -106, 0, 0, 6, 0, 42, 0, 0, -22, -66, -30, 150, 0, -44, 0, 0, 0, -54, 0, 0, 50, 0, 0, 0, 178, 0, 280, -172, 0, -52, 0, 0, -82, 0, -136, 0, 0, 28, 38, -146, 82, 0, 50, 0, 0, 0, -14, 0, 0, -190, 0, 0, 0, 54, 0, 174, 118, -242, 176, 0, 0, 228, 0, 20, 0, 0, -204, 188, -14, -24, 0, 2, 0, 0, 0, 134, 0, 0, 44, 0, 0, 0, -104, 0, 208, -204, 242, 38, 0, 0, -90, 0, -24, 0, 0, 20, -86, 222, 4, 0, 136, 0, 0, 0, 102, 0, 0, 114, 0, 0, 0, -160, 0, -80, 306, -6, 44, 0, 0, -136, 0, 68, 0, 0, -2, 38, -116, -234, 0, 38, 0, 0, 0, -122, 0, 0, 4, 0, 0, 0, 102, 0, -62, -20, -292, -204, 0, 0, -66, 0, 16, 0, 0, 234, -92, 2, 154, 0, -200, 0, 0, 0, -72, 0, 0, -206, 0, 0, 0, 160, 0, -106, 174, -16, -36, 0, 0, -152, 0, -42, 0, 0, -22, 188, 102, 110, 0, 206, 0, 0, 0, -44, 0, 0, 60, 0, 0, 0, 186, 0, -156, 86, -28, 60, 0, 0, 294, 0, -246, 0, 0, 148, -212, -32, 206, 0, -58, 0, 0, 0, -12, 0, 0, 60, 0, 0, 0, 66, 0, 12, 52, 116, 212, 0, 0, -6, 0, -144, 0, 0, -122, -72, 38, 96, 0, 2, 0, 0, 0, -146, 0, 0, -46, 0, 0, 0, 146, 0, -6, -8, 114, 60, 0, 0, 98, 0, -288, 0, 0, 290, 356, -114, 90, 0, 222, 0, 0, 0, 8, 0, 0, -486, 0, 0, 0, -64, 0, 20, -42, 32, -334, 0, 0, -100, 0, -246, 0, 0, -38, -110, -148, -324, 0, -26, 0, 0, 0, -10, 0, 0, 16, 0, 0, 0, -238, 0, -184, 70, -54, -76, 0, 0, 80, 0, -238, 0, 0, 242, -148, 366, 60, 0, -30, 0, 0, 0, 394, 0, 0, 294, 0, 0, 0, 64, 0, -174, -308, -314, 246, 0, 0, -108, 0, -32, 0, 0, -112, -114, -66, 152, 0, 262, 0, 0, 0, 372, 0, 0, 18, 0, 0, 0, 60, 0, -132, -6, 200, 78, 0, 0, -82, 0, 22, 0, 0, 342, 314, -16, -58, 0, -200, 0, 0, 0, -6, 0, 0, -178, 0, 0, 0, -22, 0, -112, -352, 124, -38, 0, 0, 238, 0, 64, 0, 0, -66, 26, -10, -64, 0, 0, 0, 0, 0, -108, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 529405
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.2.d.a', 'target_level': 29, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529406
{'conductor': 87, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '261.2.k.a', 'target_level': 261, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 529407
{'conductor': 116, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '464.2.u.f', 'target_level': 464, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '116.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 529408
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.l.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '145.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 529409
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.r.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '145.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 529410
{'conductor': 145, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.r.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '145.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 529411
{'conductor': 29, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.a.e', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 529412
{'conductor': 29, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '841.2.a.f', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 529413
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.b.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 529414
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.b.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 529415
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '841.2.d.a', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529416
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '841.2.d.b', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529417
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.d.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529418
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.d.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529419
{'conductor': 29, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.d.e', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529420
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '841.2.e.b', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529421
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '841.2.e.b', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529422
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.e.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529423
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.e.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529424
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.e.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 529425
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.e.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 529426
{'conductor': 87, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7569.2.a.p', 'target_level': 7569, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 529427
{'conductor': 87, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '841.2.b.c', 'source_level': 841, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7569.2.a.r', 'target_level': 7569, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1396975
{'charpoly_factorization': [[[1, 0, 6, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 2}
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id: 1396976
{'charpoly_factorization': [[[1, 0, 6, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 3}
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id: 1396977
{'charpoly_factorization': [[[-1, -4, -3, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 5}
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id: 1396978
{'charpoly_factorization': [[[1, -4, 3, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 7}
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id: 1396979
{'charpoly_factorization': [[[1681, 0, 474, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 11}
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id: 1396980
{'charpoly_factorization': [[[-43, -30, 1, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 13}
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id: 1396981
{'charpoly_factorization': [[[64, 0, 80, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 17}
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id: 1396982
{'charpoly_factorization': [[[169, 0, 94, 0, 17, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 19}
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id: 1396983
{'charpoly_factorization': [[[-49, 0, 7, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 23}
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id: 1396984
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007268007773001, 'p': 29}
-
id: 1396985
{'charpoly_factorization': [[[6889, 0, 2134, 0, 89, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 31}
-
id: 1396986
{'charpoly_factorization': [[[1681, 0, 474, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 37}
-
id: 1396987
{'charpoly_factorization': [[[64, 0, 416, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 41}
-
id: 1396988
{'charpoly_factorization': [[[169, 0, 402, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 43}
-
id: 1396989
{'charpoly_factorization': [[[57121, 0, 4842, 0, 125, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 47}
-
id: 1396990
{'charpoly_factorization': [[[-1, 20, 9, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 53}
-
id: 1396991
{'charpoly_factorization': [[[728, 252, 28, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 59}
-
id: 1396992
{'charpoly_factorization': [[[169, 0, 166, 0, 41, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 61}
-
id: 1396993
{'charpoly_factorization': [[[-13, -30, 13, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 67}
-
id: 1396994
{'charpoly_factorization': [[[-189, 126, -21, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 71}
-
id: 1396995
{'charpoly_factorization': [[[175561, 0, 10274, 0, 181, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 73}
-
id: 1396996
{'charpoly_factorization': [[[729, 0, 2106, 0, 117, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 79}
-
id: 1396997
{'charpoly_factorization': [[[-169, -22, 9, 1], 2]], 'hecke_orbit_code': 9007268007773001, 'p': 83}
-
id: 1396998
{'charpoly_factorization': [[[8281, 0, 4410, 0, 161, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 89}
-
id: 1396999
{'charpoly_factorization': [[[169, 0, 5190, 0, 269, 0, 1], 1]], 'hecke_orbit_code': 9007268007773001, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '841.2.b.c', 'level': 841, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29585869
{'hecke_orbit_code': 9007268007773001, 'n': 1, 'trace_an': 6}
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id: 29585870
{'hecke_orbit_code': 9007268007773001, 'n': 2, 'trace_an': 0}
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id: 29585871
{'hecke_orbit_code': 9007268007773001, 'n': 3, 'trace_an': 0}
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id: 29585872
{'hecke_orbit_code': 9007268007773001, 'n': 4, 'trace_an': 2}
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id: 29585873
{'hecke_orbit_code': 9007268007773001, 'n': 5, 'trace_an': 6}
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id: 29585874
{'hecke_orbit_code': 9007268007773001, 'n': 6, 'trace_an': -4}
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id: 29585875
{'hecke_orbit_code': 9007268007773001, 'n': 7, 'trace_an': -6}
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id: 29585876
{'hecke_orbit_code': 9007268007773001, 'n': 8, 'trace_an': 0}
-
id: 29585877
{'hecke_orbit_code': 9007268007773001, 'n': 9, 'trace_an': 8}
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id: 29585878
{'hecke_orbit_code': 9007268007773001, 'n': 10, 'trace_an': 0}
-
id: 29585879
{'hecke_orbit_code': 9007268007773001, 'n': 11, 'trace_an': 0}
-
id: 29585880
{'hecke_orbit_code': 9007268007773001, 'n': 12, 'trace_an': 0}
-
id: 29585881
{'hecke_orbit_code': 9007268007773001, 'n': 13, 'trace_an': -2}
-
id: 29585882
{'hecke_orbit_code': 9007268007773001, 'n': 14, 'trace_an': 0}
-
id: 29585883
{'hecke_orbit_code': 9007268007773001, 'n': 15, 'trace_an': 0}
-
id: 29585884
{'hecke_orbit_code': 9007268007773001, 'n': 16, 'trace_an': -10}
-
id: 29585885
{'hecke_orbit_code': 9007268007773001, 'n': 17, 'trace_an': 0}
-
id: 29585886
{'hecke_orbit_code': 9007268007773001, 'n': 18, 'trace_an': 0}
-
id: 29585887
{'hecke_orbit_code': 9007268007773001, 'n': 19, 'trace_an': 0}
-
id: 29585888
{'hecke_orbit_code': 9007268007773001, 'n': 20, 'trace_an': 2}
-
id: 29585889
{'hecke_orbit_code': 9007268007773001, 'n': 21, 'trace_an': 0}
-
id: 29585890
{'hecke_orbit_code': 9007268007773001, 'n': 22, 'trace_an': 22}
-
id: 29585891
{'hecke_orbit_code': 9007268007773001, 'n': 23, 'trace_an': -14}
-
id: 29585892
{'hecke_orbit_code': 9007268007773001, 'n': 24, 'trace_an': -14}
-
id: 29585893
{'hecke_orbit_code': 9007268007773001, 'n': 25, 'trace_an': 4}
-
id: 29585894
{'hecke_orbit_code': 9007268007773001, 'n': 26, 'trace_an': 0}
-
id: 29585895
{'hecke_orbit_code': 9007268007773001, 'n': 27, 'trace_an': 0}
-
id: 29585896
{'hecke_orbit_code': 9007268007773001, 'n': 28, 'trace_an': 12}
-
id: 29585897
{'hecke_orbit_code': 9007268007773001, 'n': 29, 'trace_an': 0}
-
id: 29585898
{'hecke_orbit_code': 9007268007773001, 'n': 30, 'trace_an': -18}
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id: 29585899
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id: 29586102
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