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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': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [729, 3, [2], [1]], 'cm_discs': [], 'conrey_indexes': [244, 487], 'dim': 12, 'field_disc': 1586874322944, 'field_disc_factorization': [[2, 12], [3, 18]], 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 36, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 27, 0, 63, 0, 48, 0, 27, 0, 6, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727249625, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 3, 1, 3, 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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, 0], [0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -1, 0, 0, 1, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, -3, 0, 0, -2, 0, 0], [0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, -3, 0, 0, 3, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -1, 0, 0, 2, 0, 0, 2, 0, -2], [0, 0, 0, 0, 0, 1, 0, 2, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0], [0, 0, 1, 0, 1, 0, 0, 2, 2, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, -2], [0, 0, 0, 0, -5, 0, 0, 5, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 0, -3, 0, 0, -3, 0, 3], [0, 0, 0, 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0, 0, 16, 16, 0, -16, 0], [14, -14, 0, 8, 0, 0, -8, 0, 0, 0, 0, 12], [0, 0, 0, 0, 0, -13, 0, 17, 16, 0, 0, 0], [2, -2, 0, -6, 0, 0, 6, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 4, 0, 23, 4, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 0, 0, -14, 0, 0], [0, 0, -14, 0, 6, 14, 0, -6, 0, 0, -20, 0], [0, 5, 0, -8, 0, 0, 24, 0, 0, 24, 0, -24], [0, 0, -2, 0, 0, 0, 0, -25, -25, 0, 25, 0], [-4, 0, 0, 0, 0, 0, -24, 0, 0, -24, 0, 0], [0, 0, -7, 0, -3, 0, 0, -1, -1, 0, 1, 0], [-28, 0, 0, 0, 0, 0, 2, 0, 0, -14, 0, 0], [0, 0, -10, 0, -16, 10, 0, 16, 0, 0, -4, 0], [0, 0, 3, 0, -15, 0, 0, -16, -16, 0, 16, 0], [0, 0, 0, 0, 0, -1, 0, -2, -13, 0, 0, 0], [29, -29, 0, 7, 0, 0, -7, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 7, 0, -20, -19, 0, 0, 0], [0, 0, 5, 0, 6, -5, 0, -6, 0, 0, 1, 0], [0, 0, 8, 0, 15, 0, 0, 5, 5, 0, -5, 0], [-7, 0, 0, 0, 0, 0, -9, 0, 0, 15, 0, 0], [0, -34, 0, -8, 0, 0, 3, 0, 0, 3, 0, -3]], 'char_orbit_index': 3, 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'hecke_orbit_code': 9007336727249625, 'hecke_ring_character_values': [[2, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 3, 0, 0, 1, 0, -2], [0, 0, 0, 0, -1, 0, 0, 3, 1, 0, -2, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, -1], [0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1], [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '729.2.c.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': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [729, 3, [2], [1]], 'conrey_indexes': [244, 487], 'cusp_dim': 126, 'dim': 60, 'eis_dim': 72, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508633, 'hecke_orbit_dims': [12, 12, 12, 12, 12], 'label': '729.2.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, 'mf_dim': 198, 'mf_new_dim': 84, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 30, 'sturm_bound': 162, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 12, 0, 0, -12, 0, 0, -6, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, -24, 0, 0, -24, 0, 0, 24, 0, 0, -18, 0, 0, -12, 0, 0, -18, 0, 0, -30, 0, 0, 48, 0, 0, -12, 0, 0, 0, 0, 0, -132, 0, 0, 54, 0, 0, -24, 0, 0, 48, 0, 0, -12, 0, 0, 54, 0, 0, -36, 0, 0, -18, 0, 0, 54, 0, 0, -24, 0, 0, -18, 0, 0, -30, 0, 0, 12, 0, 0, 30, 0, 0, 48, 0, 0, 12, 0, 0, 42, 0, 0, -18, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, -96, 0, 0, 96, 0, 0, -18, 0, 0, -204, 0, 0, 0, 0, 0, 36, 0, 0, 84, 0, 0, -30, 0, 0, 42, 0, 0, -204, 0, 0, -42, 0, 0, -54, 0, 0, -96, 0, 0, 96, 0, 0, -54, 0, 0, 96, 0, 0, -18, 0, 0, 24, 0, 0, 12, 0, 0, 42, 0, 0, -30, 0, 0, 108, 0, 0, -54, 0, 0, 108, 0, 0, 12, 0, 0, -42, 0, 0, -54, 0, 0, 120, 0, 0, -54, 0, 0, 156, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, 0, 120, 0, 0, -72, 0, 0, 24, 0, 0, 120, 0, 0, 48, 0, 0, -72, 0, 0, 120, 0, 0, -54, 0, 0, -96, 0, 0, 12, 0, 0, 132, 0, 0, 54, 0, 0, -60, 0, 0, -54, 0, 0, -78, 0, 0, -120, 0, 0, -84, 0, 0, 6, 0, 0, -240, 0, 0, -60, 0, 0, -132, 0, 0, 156, 0, 0, -120, 0, 0, -54, 0, 0, 228, 0, 0, -66, 0, 0, -84, 0, 0, -348, 0, 0, 186, 0, 0, -54, 0, 0, 228, 0, 0, 54, 0, 0, 180, 0, 0, 156, 0, 0, -120, 0, 0, 162, 0, 0, -144, 0, 0, -54, 0, 0, -54, 0, 0, -144, 0, 0, -126, 0, 0, -18, 0, 0, -336, 0, 0, 162, 0, 0, -132, 0, 0, 84, 0, 0, 132, 0, 0, 78, 0, 0, -312, 0, 0, 108, 0, 0, -108, 0, 0, -204, 0, 0, -24, 0, 0, -96, 0, 0, 192, 0, 0, -108, 0, 0, -96, 0, 0, -204, 0, 0, 66, 0, 0, -108, 0, 0, -216, 0, 0, 192, 0, 0, -48, 0, 0, 84, 0, 0, -84, 0, 0, -72, 0, 0, 108, 0, 0, 162, 0, 0, 72, 0, 0, 120, 0, 0, -120, 0, 0, 108, 0, 0, 312, 0, 0, -54, 0, 0, -162, 0, 0, 228, 0, 0, -174, 0, 0, 78, 0, 0, 336, 0, 0, 36, 0, 0, 180, 0, 0, 192, 0, 0, -126, 0, 0, 162, 0, 0, 144, 0, 0, -72, 0, 0, -108, 0, 0, 228, 0, 0, -174, 0, 0, -108, 0, 0, 192, 0, 0, 42, 0, 0, 264, 0, 0, 156, 0, 0, -120, 0, 0, 48, 0, 0, 384, 0, 0, -108, 0, 0, -162, 0, 0, -240, 0, 0, -180, 0, 0, 90, 0, 0, 348, 0, 0, 48, 0, 0, -114, 0, 0, -168, 0, 0, 42, 0, 0, 60, 0, 0, -360, 0, 0, 216, 0, 0, 60, 0, 0, -168, 0, 0, 30, 0, 0, 216, 0, 0, 228, 0, 0, 90, 0, 0, 192, 0, 0, -36, 0, 0, -138, 0, 0, -108, 0, 0, -60, 0, 0, -108, 0, 0, -84, 0, 0, -276, 0, 0, 222, 0, 0, 90, 0, 0, 300, 0, 0, 222, 0, 0, 300, 0, 0, -420, 0, 0, 312, 0, 0, 12, 0, 0, -780, 0, 0, -126, 0, 0, -162, 0, 0, 300, 0, 0, -138, 0, 0, -138, 0, 0, -636, 0, 0, -126, 0, 0, -114, 0, 0, -420, 0, 0, 312, 0, 0, -162, 0, 0, 60, 0, 0, 48, 0, 0, -240, 0, 0, -204, 0, 0, 396, 0, 0, 54, 0, 0, 12, 0, 0, -162, 0, 0, 276, 0, 0, 24, 0, 0, -84, 0, 0, -108, 0, 0, 144, 0, 0, 24, 0, 0, 324, 0, 0, 228, 0, 0, 42, 0, 0, 36, 0, 0, -120, 0, 0, 108, 0, 0, 54, 0, 0, 228, 0, 0, -54, 0, 0, 78, 0, 0, -72, 0, 0, -108, 0, 0, 30, 0, 0, -312, 0, 0, 228, 0, 0, 198, 0, 0, 444, 0, 0, -162, 0, 0, -186, 0, 0, 336, 0, 0, 96, 0, 0, -108, 0, 0, -840, 0, 0, 36, 0, 0, -246, 0, 0, -204, 0, 0, -228, 0, 0, -108, 0, 0, 444, 0, 0, 84, 0, 0, -24, 0, 0, -456, 0, 0, 174, 0, 0, -180, 0, 0, 564, 0, 0, 162, 0, 0, 132, 0, 0, -204, 0, 0, -324, 0, 0, 276, 0, 0, -564, 0, 0, 30, 0, 0, -78, 0, 0, 12, 0, 0, -54, 0, 0, 252, 0, 0, -108, 0, 0, 216, 0, 0, -216, 0, 0, 84, 0, 0, 234, 0, 0, 264, 0, 0, -876, 0, 0, 108, 0, 0, -330, 0, 0, -204, 0, 0, -282, 0, 0, -18, 0, 0, 408, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -282, 0, 0, -216, 0, 0, -348, 0, 0, 42, 0, 0, -240, 0, 0, 336, 0, 0, -138, 0, 0, 24, 0, 0, -288, 0, 0, 156, 0, 0, 216, 0, 0, 120, 0, 0, 12, 0, 0, -30, 0, 0, 516, 0, 0, 54, 0, 0, -126, 0, 0, 444, 0, 0, -282, 0, 0, 258, 0, 0, 552, 0, 0, 306, 0, 0, 276, 0, 0, 336, 0, 0, -252, 0, 0, 162, 0, 0, 552, 0, 0, 216, 0, 0, -210, 0, 0, 480, 0, 0, -198, 0, 0, -180, 0, 0, 300], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 473348
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '729.2.a.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473349
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '729.2.a.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473350
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473351
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473352
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473353
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473354
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473355
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473356
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473357
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473358
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473359
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '729.2.c.c', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1259900
{'charpoly_factorization': [[[9, 0, 27, 0, 63, 0, 48, 0, 27, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 2}
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id: 1259901
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007336727249625, 'p': 3}
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id: 1259902
{'charpoly_factorization': [[[9, 0, 54, 0, 279, 0, 264, 0, 207, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 5}
-
id: 1259903
{'charpoly_factorization': [[[1, -9, 75, -52, 27, -6, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 7}
-
id: 1259904
{'charpoly_factorization': [[[1172889, 0, 438615, 0, 118539, 0, 14844, 0, 1359, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 11}
-
id: 1259905
{'charpoly_factorization': [[[5041, -639, 507, -88, 45, -6, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 13}
-
id: 1259906
{'charpoly_factorization': [[[-9747, 0, 1755, 0, -81, 0, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 17}
-
id: 1259907
{'charpoly_factorization': [[[19, 39, 12, 1], 4]], 'hecke_orbit_code': 9007336727249625, 'p': 19}
-
id: 1259908
{'charpoly_factorization': [[[751689, 0, 2816883, 0, 10457163, 0, 368652, 0, 9747, 0, 114, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 23}
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id: 1259909
{'charpoly_factorization': [[[16867449, 0, 3326670, 0, 446643, 0, 33096, 0, 1791, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 29}
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id: 1259910
{'charpoly_factorization': [[[5329, -4599, 2874, -799, 162, -15, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 31}
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id: 1259911
{'charpoly_factorization': [[[-17, -6, 3, 1], 4]], 'hecke_orbit_code': 9007336727249625, 'p': 37}
-
id: 1259912
{'charpoly_factorization': [[[71014329, 0, 15623658, 0, 2704167, 0, 144444, 0, 5715, 0, 87, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 41}
-
id: 1259913
{'charpoly_factorization': [[[64, 0, 48, -16, 36, -6, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 43}
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id: 1259914
{'charpoly_factorization': [[[9, 0, 162, 0, 2871, 0, 804, 0, 171, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 47}
-
id: 1259915
{'charpoly_factorization': [[[-15552, 0, 2592, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 53}
-
id: 1259916
{'charpoly_factorization': [[[9, 0, 4671, 0, 2423691, 0, 289596, 0, 33039, 0, 186, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 59}
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id: 1259917
{'charpoly_factorization': [[[87616, -21312, 6960, -160, 108, -6, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 61}
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id: 1259918
{'charpoly_factorization': [[[63001, -36144, 19983, -934, 153, 3, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 67}
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id: 1259919
{'charpoly_factorization': [[[-1728, 0, 1296, 0, -72, 0, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 71}
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id: 1259920
{'charpoly_factorization': [[[-89, -69, -6, 1], 4]], 'hecke_orbit_code': 9007336727249625, 'p': 73}
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id: 1259921
{'charpoly_factorization': [[[11449, 14445, 20793, -3454, 441, -24, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 79}
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id: 1259922
{'charpoly_factorization': [[[2405238079689, 0, 80300069091, 0, 2001570975, 0, 19576560, 0, 140067, 0, 438, 0, 1], 1]], 'hecke_orbit_code': 9007336727249625, 'p': 83}
-
id: 1259923
{'charpoly_factorization': [[[-7803, 0, 16146, 0, -387, 0, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 89}
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id: 1259924
{'charpoly_factorization': [[[418609, -64053, 13683, -700, 135, -6, 1], 2]], 'hecke_orbit_code': 9007336727249625, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '729.2.c.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: 115828000
{'hecke_orbit_code': 9007336727249625, 'n': 1, 'trace_an': 12}
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id: 115828001
{'hecke_orbit_code': 9007336727249625, 'n': 2, 'trace_an': 0}
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id: 115828002
{'hecke_orbit_code': 9007336727249625, 'n': 3, 'trace_an': 0}
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id: 115828003
{'hecke_orbit_code': 9007336727249625, 'n': 4, 'trace_an': 0}
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id: 115828004
{'hecke_orbit_code': 9007336727249625, 'n': 5, 'trace_an': 0}
-
id: 115828005
{'hecke_orbit_code': 9007336727249625, 'n': 6, 'trace_an': 0}
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id: 115828006
{'hecke_orbit_code': 9007336727249625, 'n': 7, 'trace_an': 12}
-
id: 115828007
{'hecke_orbit_code': 9007336727249625, 'n': 8, 'trace_an': 0}
-
id: 115828008
{'hecke_orbit_code': 9007336727249625, 'n': 9, 'trace_an': 0}
-
id: 115828009
{'hecke_orbit_code': 9007336727249625, 'n': 10, 'trace_an': -24}
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id: 115828010
{'hecke_orbit_code': 9007336727249625, 'n': 11, 'trace_an': 0}
-
id: 115828011
{'hecke_orbit_code': 9007336727249625, 'n': 12, 'trace_an': 0}
-
id: 115828012
{'hecke_orbit_code': 9007336727249625, 'n': 13, 'trace_an': 12}
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id: 115828013
{'hecke_orbit_code': 9007336727249625, 'n': 14, 'trace_an': 0}
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id: 115828014
{'hecke_orbit_code': 9007336727249625, 'n': 15, 'trace_an': 0}
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id: 115828015
{'hecke_orbit_code': 9007336727249625, 'n': 16, 'trace_an': 12}
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id: 115828016
{'hecke_orbit_code': 9007336727249625, 'n': 17, 'trace_an': 0}
-
id: 115828017
{'hecke_orbit_code': 9007336727249625, 'n': 18, 'trace_an': 0}
-
id: 115828018
{'hecke_orbit_code': 9007336727249625, 'n': 19, 'trace_an': -48}
-
id: 115828019
{'hecke_orbit_code': 9007336727249625, 'n': 20, 'trace_an': 0}
-
id: 115828020
{'hecke_orbit_code': 9007336727249625, 'n': 21, 'trace_an': 0}
-
id: 115828021
{'hecke_orbit_code': 9007336727249625, 'n': 22, 'trace_an': 6}
-
id: 115828022
{'hecke_orbit_code': 9007336727249625, 'n': 23, 'trace_an': 0}
-
id: 115828023
{'hecke_orbit_code': 9007336727249625, 'n': 24, 'trace_an': 0}
-
id: 115828024
{'hecke_orbit_code': 9007336727249625, 'n': 25, 'trace_an': 0}
-
id: 115828025
{'hecke_orbit_code': 9007336727249625, 'n': 26, 'trace_an': 0}
-
id: 115828026
{'hecke_orbit_code': 9007336727249625, 'n': 27, 'trace_an': 0}
-
id: 115828027
{'hecke_orbit_code': 9007336727249625, 'n': 28, 'trace_an': -12}
-
id: 115828028
{'hecke_orbit_code': 9007336727249625, 'n': 29, 'trace_an': 0}
-
id: 115828029
{'hecke_orbit_code': 9007336727249625, 'n': 30, 'trace_an': 0}
-
id: 115828030
{'hecke_orbit_code': 9007336727249625, 'n': 31, 'trace_an': 30}
-
id: 115828031
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id: 115828992
{'hecke_orbit_code': 9007336727249625, 'n': 993, 'trace_an': 0}
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id: 115828993
{'hecke_orbit_code': 9007336727249625, 'n': 994, 'trace_an': 36}
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id: 115828994
{'hecke_orbit_code': 9007336727249625, 'n': 995, 'trace_an': 0}
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id: 115828995
{'hecke_orbit_code': 9007336727249625, 'n': 996, 'trace_an': 0}
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id: 115828996
{'hecke_orbit_code': 9007336727249625, 'n': 997, 'trace_an': -204}
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id: 115828997
{'hecke_orbit_code': 9007336727249625, 'n': 998, 'trace_an': 0}
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id: 115828998
{'hecke_orbit_code': 9007336727249625, 'n': 999, 'trace_an': 0}
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id: 115828999
{'hecke_orbit_code': 9007336727249625, 'n': 1000, 'trace_an': 156}