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mf_newforms • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [585, 2, [326, 352, 496], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 181, 'conrey_indexes': [181], 'dim': 6, 'field_disc': -5089536, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 2], [47, 2]], 'field_poly': [18, -24, 16, 2, 2, -2, 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, [9, 0, 31, 0, 11, 0, 1]], [7, [144, 0, 112, 0, 20, 0, 1]], [17, [-96, -32, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517254729, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '585.2.b.g', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '65.2.c.a', 'nf_label': '6.0.5089536.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{5}q^{2}+(-2+\\beta _{3})q^{4}+\\beta _{4}q^{5}+(-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '585.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 269700560474199196, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.285', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.072', 'prec': 17}, {'__RealLiteral__': 0, 'data': '146.563', 'prec': 24}, {'__RealLiteral__': 0, 'data': '255.841', 'prec': 24}, {'__RealLiteral__': 0, 'data': '6210.952', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.516', 'prec': 17}, 'traces': [6, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, -8, -8, 0, 10, -8, 0, 0, 0, 0, -24, -16, 0, -6, -14, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 20, 0, -6, 0, 0, 24, 0, 0, 0, 0, 0, 2, 0, 0, 20, -12, 0, -12, 48, 0, 0, 0, 0, -12, -8, 0, 30, -2, 0, 0, 88, 0, 0, 0, 0, 0, -20, 0, 0, -36, 0, 24, 0, 0, -28, 0, 0, 0, 0, 0, 60, 0, 0, 32, 20, 0, -8, -16, 0, 0, 0, 0, 10, 68, 0, -28, -18, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, -44, 0, -36, 0, 0, -30, 0, 0, 0, 0, 0, -28, 0, 0, -24, 0, 0, -20, -24, 0, 0, 0, 0, -40, -44, 0, -20, 12, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 24, 0, 0, 34, 0, 0, 0, 0, 0, -48, 0, 0, -14, -16, 0, 28, -52, 0, 0, 0, 0, 72, 24, 0, 28, 60, 0, 0, 40, 0, 0, 0, 0, 0, -16, 0, 0, 4, 0, 10, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, -56, -48, 0, 56, 108, 0, 0, 0, 0, 44, -92, 0, -24, 24, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0], [0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 2, -1], [0, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 1, -1], [-1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, 0], [-2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 2, 1], [0, 0, -1, 0, -2, 0], [0, 0, 0, 0, 0, 0], [-5, -1, 0, 2, 0, 0], [-3, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [-3, -2, 1, 0, 4, 1], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 7, 2], [1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 4, -1], [0, 0, 0, 0, -6, 1], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 4], [1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -7, 0], [3, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 0, 0], [0, 0, 2, 0, 2, -2], [0, 0, 0, 0, 0, 0], [3, -1, 0, 2, 0, 0], [0, 0, -1, 0, 2, 5], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -4, 3], [0, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, 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-6], [12, 10, 0, 2, 0, 0], [-32, -2, 0, 0, 0, 0], [0, 0, -10, 0, -22, 4], [0, 0, 10, 0, 10, -4], [0, 0, -5, 0, 13, 16], [0, 0, 3, 0, -15, -14], [-4, 6, 0, -2, 0, 0], [3, 0, 0, 9, 0, 0], [0, 0, 3, 0, 12, -11], [0, 0, -2, 0, 4, 4], [5, 1, 0, -12, 0, 0], [0, 0, -1, 0, -31, 6], [17, 14, 0, 5, 0, 0], [0, 0, -11, 0, -8, -5], [0, 0, 1, 0, 7, 4], [-28, 8, 0, -2, 0, 0], [-20, -8, 0, 12, 0, 0], [0, 0, 11, 0, 11, -16], [0, 0, -8, 0, -2, 0], [-1, 10, 0, -5, 0, 0], [33, -5, 0, 4, 0, 0], [23, -7, 0, -2, 0, 0], [-21, -11, 0, -2, 0, 0], [6, -14, 0, 0, 0, 0], [6, -2, 0, 4, 0, 0], [0, 0, -2, 0, -26, 6], [-8, -8, 0, -6, 0, 0], [0, 0, -12, 0, -18, -2], [0, 0, -1, 0, 5, 14], [12, 12, 0, 6, 0, 0], [0, 0, -1, 0, -7, -6], [-6, -6, 0, -12, 0, 0], [0, 0, 13, 0, -5, 0], [0, 0, 7, 0, 7, -4], [-16, -10, 0, -6, 0, 0], [16, 14, 0, -8, 0, 0]], 'char_orbit_index': 2, 'field_poly': [18, -24, 16, 2, 2, -2, 1], 'hecke_orbit_code': 27021666517254729, 'hecke_ring_character_values': [[326, [1, 0, 0, 0, 0, 0]], [352, [1, 0, 0, 0, 0, 0]], [496, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 131, 393, 131, 393, 131], 'hecke_ring_inverse_denominators': [1, 2, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 0, 1, -1, 1, 0], [0, 0, 0, 0, 3, 1], [-2, 1, 2, 2, 2, 1], [-13, 6, 0, 1, 0, 0], [-12, 7, -9, 9, -12, -7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [285, 6, -1, -6, 24, -1], [-147, 292, -136, 101, -11, -5], [-7, -36, 6, 36, -13, 6], [-267, 386, 154, 7, -28, 23], [267, -386, -23, -7, 28, -23]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '585.2.b.g', 'level': 585, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [585, 2, [326, 352, 496], [2, 2, 1]], 'conrey_index': 181, 'cusp_dim': 76, 'dim': 22, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 17], 'hecke_orbit_code': 68753031753, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6], 'label': '585.2.b', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 92, 'mf_new_dim': 22, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 168, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, -18, 0, 0, 0, 0, 0, 2, 0, 0, 8, 8, 0, 2, -8, 0, 0, 0, 0, 24, -8, 0, -22, 2, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, -4, 0, -6, 0, 0, 24, 0, 0, 0, 0, 0, -54, 0, 0, 36, 4, 0, -4, -8, 0, 0, 0, 0, 12, 0, 0, 22, 6, 0, 0, 64, 0, 0, 0, 0, 0, -60, 0, 0, -92, 0, 16, 0, 0, -92, 0, 0, 0, 0, 0, -20, 0, 0, -40, 100, 0, -72, 0, 0, 0, 0, 0, 18, 44, 0, 52, -74, 0, 0, 16, 0, 0, 0, 0, 0, 48, 0, 0, 44, 0, 92, 0, 0, 26, 0, 0, 0, 0, 0, 36, 0, 0, -16, -24, 0, -36, -16, 0, 0, 0, 0, -48, -68, 0, 76, -44, 0, 0, -108, 0, 0, 0, 0, 0, -8, 0, 0, -12, 0, -72, 0, 0, -46, 0, 0, 0, 0, 0, 32, 0, 0, -46, 0, 0, -20, -44, 0, 0, 0, 0, 72, 72, 0, 4, 68, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 156, 0, 66, 0, 0, -40, 0, 0, 0, 0, 0, 36, 0, 0, -88, -56, 0, 104, 52, 0, 0, 0, 0, 76, -44, 0, -40, 56, 0, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 36, 0, 4, 0, 0, 96, 0, 0, 0, 0, 0, -4, 0, 0, -72, -156, 0, -2, -8, 0, 0, 0, 0, -94, -52, 0, -120, 10, 0, 0, 36, 0, 0, 0, 0, 0, -4, 0, 0, -96, 0, -52, 0, 0, 20, 0, 0, 0, 0, 0, 56, 0, 0, -8, 88, 0, -30, 80, 0, 0, 0, 0, -8, 116, 0, 60, -40, 0, 0, -172, 0, 0, 0, 0, 0, 156, 0, 0, 16, 0, 24, 0, 0, -184, 0, 0, 0, 0, 0, 68, 0, 0, -8, 56, 0, 28, -72, 0, 0, 0, 0, 216, -76, 0, -16, -32, 0, 0, -72, 0, 0, 0, 0, 0, -4, 0, 0, -8, 0, 80, 0, 0, 24, 0, 0, 0, 0, 0, -54, 0, 0, 192, 56, 0, -92, -48, 0, 0, 0, 0, -104, 160, 0, 48, 92, 0, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, 84, 0, 16, 0, 0, -36, 0, 0, 0, 0, 0, -2, 0, 0, 76, -188, 0, -104, 156, 0, 0, 0, 0, -96, 36, 0, 100, 50, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -4, 0, -80, 0, 0, -12, 0, 0, 0, 0, 0, 64, 0, 0, -120, -100, 0, 72, -136, 0, 0, 0, 0, 192, -368, 0, -184, 4, 0, 0, 208, 0, 0, 0, 0, 0, -132, 0, 0, -76, 0, 224, 0, 0, 96, 0, 0, 0, 0, 0, -272, 0, 0, 84, 324, 0, 170, 44, 0, 0, 0, 0, -10, 104, 0, -272, -136, 0, 0, -132, 0, 0, 0, 0, 0, 168, 0, 0, -80, 0, -120, 0, 0, 128, 0, 0, 0, 0, 0, -4, 0, 0, 28, 4, 0, -140, -80, 0, 0, 0, 0, 78, -156, 0, 124, -68, 0, 0, 32, 0, 0, 0, 0, 0, -12, 0, 0, -60, 0, -128, 0, 0, -24, 0, 0, 0, 0, 0, -184, 0, 0, 24, 108, 0, 332, -104, 0, 0, 0, 0, -96, 180, 0, 64, 240, 0, 0, 8, 0, 0, 0, 0, 0, -192, 0, 0, 364, 0, -28, 0, 0, 200, 0, 0, 0, 0, 0, 24, 0, 0, -16, -232, 0, -108, 164, 0, 0, 0, 0, -328, 116, 0, 56, 0, 0, 0, 168, 0, 0, 0, 0, 0, -24, 0, 0, 24, 0, 22, 0, 0, -144, 0, 0, 0, 0, 0, -44, 0, 0, -40, -356, 0, -22, -4, 0, 0, 0, 0, -424, -316, 0, -152, -2, 0, 0, -16, 0, 0, 0, 0, 0, 64, 0, 0, -184, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 88, 0, 0, 138, 196, 0, -64, 136, 0, 0, 0, 0, -4, 48, 0, 136, -40, 0, 0, -180, 0, 0, 0, 0, 0, -16, 0, 0, -100, 0, 76, 0, 0, 228, 0, 0, 0, 0, 0, 72, 0, 0, 4, 80, 0, 156, -72, 0, 0, 0, 0, 76, -12, 0, 264, -84, 0, 0, 176, 0, 0, 0, 0, 0, -20, 0, 0, -104, 0, -152, 0, 0, -20, 0, 0, 0, 0, 0, 80, 0, 0, 148, 128, 0, -12, 40, 0, 0, 0, 0, 24, 336, 0, -136, 120, 0, 0, 20, 0, 0, 0, 0, 0, -92, 0, 0, 136, 0, -152, 0, 0, -122, 0, 0, 0, 0, 0, 112, 0, 0, -108, -132, 0, -80, 216, 0, 0, 0, 0, 64, 108, 0, 20, -168, 0, 0, 68, 0, 0, 0, 0, 0, 36, 0, 0, -132, 0, -12, 0, 0, 132, 0, 0, 0, 0, 0, 36, 0, 0, -52, 80, 0, -68, -216, 0, 0, 0, 0, 218, -268, 0, 16, 8, 0, 0, 132, 0, 0, 0, 0, 0, -152, 0, 0, -284, 0, -56, 0, 0, 48, 0, 0, 0, 0, 0, -164, 0, 0, -184, 404, 0, 144, -12, 0, 0, 0, 0, 180, 164, 0, 232, -240, 0, 0, 60, 0, 0, 0, 0, 0, 12, 0, 0, 16, 0, 4, 0, 0, 24, 0, 0, 0, 0, 0, 196, 0, 0, -60, -48, 0, -20, -164, 0, 0, 0, 0, -24, -140, 0, -232, -192, 0, 0, 184, 0, 0, 0, 0, 0, 156, 0, 0, -72, 0, -156, 0, 0, -12, 0, 0, 0, 0, 0, 160, 0, 0, 164, 4, 0, 16, -164, 0, 0, 0, 0, -164, 104, 0, 74, 284, 0, 0, -76, 0, 0, 0, 0, 0, -112, 0, 0, 256, 0, -316, 0, 0, 96, 0, 0, 0, 0, 0, 84, 0, 0, 220, -256, 0, -128, 216, 0, 0, 0, 0, 100, 340, 0, 6], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 399970
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.c.a', 'target_level': 65, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 399971
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.c.a', 'target_level': 65, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 399972
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '325.2.c.g', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 399973
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '325.2.c.g', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 399974
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '325.2.d.e', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 399975
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '325.2.d.e', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 399976
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.d.f', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 399977
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.d.f', 'target_level': 325, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 399978
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '585.2.b.g', 'target_level': 585, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 399979
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '585.2.b.g', 'target_level': 585, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 399980
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '845.2.a.i', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 399981
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '845.2.a.k', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 399982
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '845.2.e.i', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 399983
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '845.2.e.k', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 399984
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '845.2.m.h', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 399985
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '845.2.m.h', 'target_level': 845, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 399986
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1040.2.k.d', 'target_level': 1040, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 399987
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1040.2.k.d', 'target_level': 1040, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 399988
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '4225.2.a.bc', 'target_level': 4225, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 399989
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4225.2.a.be', 'target_level': 4225, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 399990
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '7605.2.a.bs', 'target_level': 7605, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 399991
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '585.2.b.g', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '7605.2.a.cc', 'target_level': 7605, 'twist_class_label': '65.2.c.a', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1084000
{'charpoly_factorization': [[[9, 0, 31, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 2}
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id: 1084001
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021666517254729, 'p': 3}
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id: 1084002
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 27021666517254729, 'p': 5}
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id: 1084003
{'charpoly_factorization': [[[144, 0, 112, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 7}
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id: 1084004
{'charpoly_factorization': [[[2916, 0, 684, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 11}
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id: 1084005
{'charpoly_factorization': [[[2197, 1352, 507, 160, 39, 8, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 13}
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id: 1084006
{'charpoly_factorization': [[[-96, -32, 4, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 17}
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id: 1084007
{'charpoly_factorization': [[[36, 0, 196, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 19}
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id: 1084008
{'charpoly_factorization': [[[6, 16, 8, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 23}
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id: 1084009
{'charpoly_factorization': [[[12, -8, -2, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 29}
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id: 1084010
{'charpoly_factorization': [[[36, 0, 604, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 31}
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id: 1084011
{'charpoly_factorization': [[[51984, 0, 6256, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 37}
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id: 1084012
{'charpoly_factorization': [[[5184, 0, 2224, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 41}
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id: 1084013
{'charpoly_factorization': [[[-2, 12, -12, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 43}
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id: 1084014
{'charpoly_factorization': [[[144, 0, 112, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 47}
-
id: 1084015
{'charpoly_factorization': [[[72, -60, 6, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 53}
-
id: 1084016
{'charpoly_factorization': [[[324, 0, 468, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 59}
-
id: 1084017
{'charpoly_factorization': [[[-76, -12, 6, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 61}
-
id: 1084018
{'charpoly_factorization': [[[11664, 0, 3168, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 67}
-
id: 1084019
{'charpoly_factorization': [[[36, 0, 196, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 71}
-
id: 1084020
{'charpoly_factorization': [[[266256, 0, 23344, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 73}
-
id: 1084021
{'charpoly_factorization': [[[32, -48, -12, 1], 2]], 'hecke_orbit_code': 27021666517254729, 'p': 79}
-
id: 1084022
{'charpoly_factorization': [[[1296, 0, 5760, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 83}
-
id: 1084023
{'charpoly_factorization': [[[82944, 0, 9216, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 89}
-
id: 1084024
{'charpoly_factorization': [[[576, 0, 1456, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 27021666517254729, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '585.2.b.g', 'level': 585, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 182399000
{'hecke_orbit_code': 27021666517254729, 'n': 1, 'trace_an': 6}
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id: 182399001
{'hecke_orbit_code': 27021666517254729, 'n': 2, 'trace_an': 0}
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id: 182399002
{'hecke_orbit_code': 27021666517254729, 'n': 3, 'trace_an': 0}
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id: 182399003
{'hecke_orbit_code': 27021666517254729, 'n': 4, 'trace_an': -10}
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id: 182399004
{'hecke_orbit_code': 27021666517254729, 'n': 5, 'trace_an': 0}
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id: 182399005
{'hecke_orbit_code': 27021666517254729, 'n': 6, 'trace_an': 0}
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id: 182399006
{'hecke_orbit_code': 27021666517254729, 'n': 7, 'trace_an': 0}
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id: 182399007
{'hecke_orbit_code': 27021666517254729, 'n': 8, 'trace_an': 0}
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id: 182399008
{'hecke_orbit_code': 27021666517254729, 'n': 9, 'trace_an': 0}
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id: 182399009
{'hecke_orbit_code': 27021666517254729, 'n': 10, 'trace_an': 2}
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id: 182399010
{'hecke_orbit_code': 27021666517254729, 'n': 11, 'trace_an': 0}
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id: 182399011
{'hecke_orbit_code': 27021666517254729, 'n': 12, 'trace_an': 0}
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id: 182399012
{'hecke_orbit_code': 27021666517254729, 'n': 13, 'trace_an': -8}
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id: 182399013
{'hecke_orbit_code': 27021666517254729, 'n': 14, 'trace_an': -8}
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id: 182399014
{'hecke_orbit_code': 27021666517254729, 'n': 15, 'trace_an': 0}
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{'hecke_orbit_code': 27021666517254729, 'n': 999, 'trace_an': 0}
-
id: 182399999
{'hecke_orbit_code': 27021666517254729, 'n': 1000, 'trace_an': 6}