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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, 'atkin_lehner_eigenvals': [[3, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [729, 1, [2], [1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 6, 'field_disc': 1397493, 'field_disc_factorization': [[3, 9], [71, 1]], 'field_poly': [1, -6, 3, 10, -3, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [3, -9, 0, 12, -3, -3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666649, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '729.2.a.d', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.2.e.a', 'nf_label': '6.6.1397493.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{1}+\\beta _{5})q^{2}+(\\beta _{1}-\\beta _{2}-\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.a', 'trace_display': [3, 0, 6, 0], 'trace_hash': 2066482351701001487, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.355', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '78.074', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1842.879', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, 'traces': [6, 3, 0, 3, 6, 0, 0, 6, 0, 3, 12, 0, 0, 6, 0, -3, 9, 0, 3, 6, 0, 6, 15, 0, -6, 15, 0, -6, 12, 0, 0, 0, 0, 0, 12, 0, 3, -3, 0, 6, 15, 0, 0, 3, 0, 3, 21, 0, -12, 3, 0, 12, 9, 0, -6, -6, 0, -12, 24, 0, -9, -12, 0, -12, -6, 0, -9, -9, 0, 15, 27, 0, -6, -12, 0, 6, -12, 0, 0, -21, 0, -6, 12, 0, 0, -21, 0, 12, 9, 0, -6, 6, 0, 6, 12, 0, 0, -45, 0, -18, 12, 0, -9, -6, 0, 0, 9, 0, -6, -9, 0, 9, -21, 0, 15, -24, 0, 3, 18, 0, -24, -48, 0, -24, -24, 0, 3, -60, 0, 6, 24, 0, -9, -30, 0, 18, -33, 0, 0, -15, 0, 0, 6, 0, 3, -39, 0, 6, -12, 0, -9, 3, 0, 3, -24, 0, 0, -66, 0, -18, -15, 0, 21, -39, 0, 15, 15, 0, -30, -18, 0, 3, -24, 0, 21, 12, 0, 27, 0, 0, 3, 3, 0, 6, -33, 0, 27, -42, 0, 24, 39, 0, -9, -12, 0, -21, -27, 0, 3, -39, 0, 6, -21, 0, 15, 6, 0, 27, -3, 0, 27, 0, 0, 0, 48, 0, -15, -30, 0, 21, -18, 0, 27, -27, 0, 30, 21, 0, 27, -9, 0, -24, -27, 0, 30, 51, 0, -36, 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2, 'weight_parity': 1}
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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, 1], [0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 0, 0], [1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1], [1, 0, -1, -2, 0, -1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 2], [2, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0], [-1, 2, 0, 0, -1, 0], [1, 0, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-1, 1, 1, 0, -1, 1], [2, -1, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [1, -1, -1, 1, 1, 1], [1, 0, -1, 1, 0, 2], [0, 0, 0, 0, 0, 0], [0, 2, 0, -1, -1, 1], [2, 1, 0, 0, -1, -2], [0, 0, 0, 0, 0, 0], [-1, 0, 1, 2, 1, 2], [2, 1, 0, -3, -1, -2], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 2], [3, -2, 0, 3, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -2, -2], [0, 0, 1, 2, -2, -2], [0, 0, 0, 0, 0, 0], [-1, 2, -1, 0, -2, -1], [2, 0, 2, 1, 1, 2], [0, 0, 0, 0, 0, 0], [1, -1, -1, -2, -2, -2], [0, -1, 0, 3, 3, 5], [0, 0, 0, 0, 0, 0], [2, -2, -1, -1, 0, 0], [3, -1, 3, 0, 0, -1], [0, 0, 0, 0, 0, 0], [1, -2, -1, 0, 3, -1], [-1, 3, -2, -4, 0, -2], [0, 0, 0, 0, 0, 0], [-1, 3, 2, -2, -1, 1], [4, -1, 3, 3, 1, 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[7, 4, -1, -9, 6, 8], [12, -6, 3, -6, 0, -18], [-2, 11, 5, -2, 4, 13], [-5, -2, 2, 2, 0, -9], [-13, 6, 0, -6, -7, 0], [2, -13, 4, -1, 6, 0], [5, -10, 9, 9, 5, 3], [3, -8, -3, -3, -9, -11], [3, 3, 7, 0, -8, -2], [4, 4, -1, 10, 0, 6], [10, 2, 3, -3, 10, 14], [-11, 2, 5, 10, 1, 13], [1, 6, -6, 3, -2, 15], [-9, 6, -8, -7, -2, -7], [8, -4, -11, -10, -3, -12], [-1, -5, 9, 6, 14, 7], [-11, 19, -1, -5, -6, -3], [5, -3, -9, 3, -6, -3], [-2, 2, -13, -2, 7, 1], [-8, -5, 5, 14, 0, 12], [-19, 11, 1, -4, -3, -9], [-10, 1, -15, 0, 5, 4], [-9, 7, -6, 0, 6, 10], [-6, 12, 4, 3, 1, 10], [-10, 0, 3, 0, 0, 3], [-5, -1, 3, -18, 4, -13], [-15, 0, 6, 6, -6, 15], [4, 6, 0, 15, 4, 15], [6, 6, 10, 0, -5, 1], [-7, -4, 3, 3, -7, -6], [-7, 12, -3, -12, 6, 9], [-19, 13, 0, -9, -16, -5], [-12, 3, -2, 2, -5, -7], [-2, 5, -10, -11, -2, 1], [-8, -19, 6, -3, 1, -4], [-1, -1, -3, 11, 8, 16], [-3, 15, -3, 3, 6, 3], [-20, -6, -9, -3, -2, -18], [5, -15, 12, -3, 5, -12], [3, 9, -2, -7, 1, -7], [20, -13, -6, 0, 14, -9], [3, -5, 3, 0, 6, -14], [-29, 1, -10, -2, -6, -15], [13, -17, 8, 12, 0, -4], [-6, 12, -6, 0, -6, 3], [12, -6, -2, 3, 7, -5], [-1, 17, 13, -1, -12, 6], [-9, 6, -11, 2, 1, 11], [-15, -6, 4, 9, 1, -5], [7, 5, -4, -11, 7, -11], [6, -16, 6, 0, 3, -16], [10, -2, 2, -9, -3, -7], [-7, -9, -12, -12, -6, -30], [10, -12, 12, 0, 1, 0], [17, -7, 6, 18, 2, 3], [-13, -4, 1, -1, 12, 12], [1, -14, 8, -4, 12, -12], [-3, 11, -3, -3, 0, 14], [3, -6, 3, -3, -12, -12], [-5, 8, 5, 4, -2, 16], [-4, -12, 0, 0, 17, 12], [11, -13, 6, -12, -7, -15], [-4, 2, -14, 5, -6, -3], [-17, -1, 2, 4, 10, 10], [12, 7, 9, 0, -9, 13], [-13, 5, -3, 11, 14, 10], [1, -7, -6, 0, -11, -16], [7, -14, 5, 12, -3, -13], [3, -6, 3, -18, 0, -6], [8, -16, -6, -6, 5, -6], [5, -7, -5, -7, 6, -18], [-5, 11, 2, -8, -14, -2], [20, -14, -12, -3, 5, -8], [13, 10, 2, 0, -6, -10], [25, -1, 0, -9, -11, -10], [8, -12, -12, -18, 0, -18], [8, 6, -3, 9, -4, -3], [13, 2, 8, -8, -11, 1], [5, 10, 6, 9, 8, 10], [-6, -14, 3, -18, -3, -14], [4, 4, -1, -8, -6, 6], [-16, 11, -3, 2, 5, 7], [21, -18, 6, 15, 3, -3], [-8, 12, 6, 9, -8, 9], [-7, 12, 6, 21, 2, 33], [14, 6, 0, -3, 15, 9], [-12, -6, -2, -19, 1, -19]], 'char_orbit_index': 1, 'field_poly': [1, -6, 3, 10, -3, -3, 1], 'hecke_orbit_code': 13510798915666649, '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, 1, 1, 0, 0, 0], [2, 4, 2, 1, 0, 0], [9, 7, 7, 3, 1, 0], [18, 20, 18, 12, 3, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, -1, 1, 0, 0, 0], [2, -2, -2, 1, 0, 0], [-1, 6, -1, -3, 1, 0], [-3, 4, 9, -3, -3, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '729.2.a.d', 'level': 729, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1]], 18, 3], [[[3, 1]], 12, 2]], 'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [729, 1, [2], [1]], 'conrey_indexes': [1], 'cusp_dim': 64, 'dim': 30, 'eis_dim': 35, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555161, 'hecke_orbit_dims': [6, 6, 6, 6, 6], 'label': '729.2.a', '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': 99, 'mf_new_dim': 42, 'num_forms': 5, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 162, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 24, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, 12, 0, 0, 6, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, -6, 0, 0, 24, 0, 0, -12, 0, 0, -24, 0, 0, 18, 0, 0, -6, 0, 0, 18, 0, 0, 30, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, -66, 0, 0, -54, 0, 0, 24, 0, 0, 24, 0, 0, 12, 0, 0, -54, 0, 0, -18, 0, 0, 18, 0, 0, -54, 0, 0, -12, 0, 0, 18, 0, 0, 30, 0, 0, 6, 0, 0, -30, 0, 0, -48, 0, 0, 6, 0, 0, -42, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, -48, 0, 0, -96, 0, 0, 18, 0, 0, -102, 0, 0, 0, 0, 0, -36, 0, 0, 42, 0, 0, 30, 0, 0, -42, 0, 0, -102, 0, 0, 42, 0, 0, 54, 0, 0, -48, 0, 0, -96, 0, 0, 54, 0, 0, 48, 0, 0, 18, 0, 0, -24, 0, 0, 6, 0, 0, -42, 0, 0, 30, 0, 0, 54, 0, 0, 54, 0, 0, -108, 0, 0, 6, 0, 0, 42, 0, 0, 54, 0, 0, 60, 0, 0, 54, 0, 0, -156, 0, 0, 60, 0, 0, -72, 0, 0, 0, 0, 0, 60, 0, 0, 72, 0, 0, -24, 0, 0, 60, 0, 0, -48, 0, 0, 72, 0, 0, 60, 0, 0, 54, 0, 0, 96, 0, 0, 6, 0, 0, -132, 0, 0, -54, 0, 0, -30, 0, 0, 54, 0, 0, 78, 0, 0, -60, 0, 0, 84, 0, 0, -6, 0, 0, -120, 0, 0, 60, 0, 0, 132, 0, 0, 78, 0, 0, 120, 0, 0, 54, 0, 0, 114, 0, 0, 66, 0, 0, 84, 0, 0, -174, 0, 0, -186, 0, 0, 54, 0, 0, 114, 0, 0, -54, 0, 0, -180, 0, 0, 78, 0, 0, 120, 0, 0, -162, 0, 0, -72, 0, 0, 54, 0, 0, 54, 0, 0, -72, 0, 0, 126, 0, 0, 18, 0, 0, -168, 0, 0, -162, 0, 0, 132, 0, 0, 42, 0, 0, -132, 0, 0, -78, 0, 0, -156, 0, 0, -108, 0, 0, 108, 0, 0, -102, 0, 0, 24, 0, 0, 96, 0, 0, 96, 0, 0, 108, 0, 0, 96, 0, 0, -102, 0, 0, -66, 0, 0, 108, 0, 0, -108, 0, 0, -192, 0, 0, 48, 0, 0, 42, 0, 0, 84, 0, 0, 72, 0, 0, 54, 0, 0, -162, 0, 0, -72, 0, 0, 60, 0, 0, 120, 0, 0, -108, 0, 0, 156, 0, 0, 54, 0, 0, 162, 0, 0, 114, 0, 0, 174, 0, 0, -78, 0, 0, 168, 0, 0, -36, 0, 0, -180, 0, 0, 96, 0, 0, 126, 0, 0, -162, 0, 0, 72, 0, 0, 72, 0, 0, 108, 0, 0, 114, 0, 0, 174, 0, 0, 108, 0, 0, 96, 0, 0, -42, 0, 0, -264, 0, 0, 78, 0, 0, 120, 0, 0, -48, 0, 0, 192, 0, 0, 108, 0, 0, 162, 0, 0, -120, 0, 0, 180, 0, 0, -90, 0, 0, 174, 0, 0, -48, 0, 0, 114, 0, 0, -84, 0, 0, -42, 0, 0, -60, 0, 0, -180, 0, 0, -216, 0, 0, -60, 0, 0, -84, 0, 0, -30, 0, 0, -216, 0, 0, 114, 0, 0, -90, 0, 0, -192, 0, 0, -18, 0, 0, 138, 0, 0, 108, 0, 0, -30, 0, 0, 108, 0, 0, 84, 0, 0, -138, 0, 0, -222, 0, 0, -90, 0, 0, 150, 0, 0, -222, 0, 0, -300, 0, 0, -210, 0, 0, -312, 0, 0, -12, 0, 0, -390, 0, 0, 126, 0, 0, 162, 0, 0, 150, 0, 0, 138, 0, 0, 138, 0, 0, -318, 0, 0, 126, 0, 0, 114, 0, 0, -210, 0, 0, -312, 0, 0, 162, 0, 0, 30, 0, 0, -48, 0, 0, 240, 0, 0, -102, 0, 0, -396, 0, 0, -54, 0, 0, 6, 0, 0, 162, 0, 0, -276, 0, 0, 12, 0, 0, 84, 0, 0, 108, 0, 0, 72, 0, 0, -24, 0, 0, -324, 0, 0, 114, 0, 0, -42, 0, 0, -36, 0, 0, -60, 0, 0, -108, 0, 0, -54, 0, 0, 114, 0, 0, 54, 0, 0, -78, 0, 0, -36, 0, 0, 108, 0, 0, -30, 0, 0, -156, 0, 0, -228, 0, 0, -198, 0, 0, 222, 0, 0, 162, 0, 0, 186, 0, 0, 168, 0, 0, -96, 0, 0, 108, 0, 0, -420, 0, 0, -36, 0, 0, 246, 0, 0, -102, 0, 0, 228, 0, 0, 108, 0, 0, 222, 0, 0, -84, 0, 0, 24, 0, 0, -228, 0, 0, -174, 0, 0, 180, 0, 0, 282, 0, 0, -162, 0, 0, -132, 0, 0, -102, 0, 0, 324, 0, 0, -276, 0, 0, -282, 0, 0, -30, 0, 0, 78, 0, 0, 6, 0, 0, 54, 0, 0, -252, 0, 0, -54, 0, 0, -216, 0, 0, 216, 0, 0, 42, 0, 0, -234, 0, 0, -264, 0, 0, -438, 0, 0, -108, 0, 0, 330, 0, 0, -102, 0, 0, 282, 0, 0, 18, 0, 0, 204, 0, 0, 216, 0, 0, -216, 0, 0, 0, 0, 0, 282, 0, 0, 216, 0, 0, -174, 0, 0, -42, 0, 0, 240, 0, 0, 168, 0, 0, 138, 0, 0, -24, 0, 0, -144, 0, 0, -156, 0, 0, -216, 0, 0, 60, 0, 0, -12, 0, 0, 30, 0, 0, 258, 0, 0, -54, 0, 0, 126, 0, 0, 222, 0, 0, 282, 0, 0, -258, 0, 0, 276, 0, 0, -306, 0, 0, -276, 0, 0, 168, 0, 0, 252, 0, 0, -162, 0, 0, 276, 0, 0, -216, 0, 0, 210, 0, 0, 240, 0, 0, 198, 0, 0, 180, 0, 0, 150], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 473298
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.2.e.a', 'target_level': 27, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473299
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.2.e.a', 'target_level': 81, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473300
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '243.2.e.a', 'target_level': 243, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473301
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '243.2.e.b', 'target_level': 243, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473302
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '243.2.e.c', 'target_level': 243, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473303
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '243.2.e.d', 'target_level': 243, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473304
{'conductor': 108, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.2.u.c', 'target_level': 432, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '108.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 473305
{'conductor': 135, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.l.c', 'target_level': 675, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '135.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 473306
{'conductor': 135, 'degree': 12, 'multiplicity': 4, 'order': 36, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 21, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.2.u.b', 'target_level': 675, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '135.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 473307
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.a.a', 'target_level': 729, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473308
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '729.2.a.d', 'target_level': 729, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473309
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '729.2.c.b', 'target_level': 729, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473310
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '729.2.a.d', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.c.e', 'target_level': 729, 'twist_class_label': '27.2.e.a', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1259800
{'charpoly_factorization': [[[3, -9, 0, 12, -3, -3, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 2}
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id: 1259801
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 13510798915666649, 'p': 3}
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id: 1259802
{'charpoly_factorization': [[[3, 27, -54, 24, 6, -6, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 5}
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id: 1259803
{'charpoly_factorization': [[[-17, -15, 36, 11, -15, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 7}
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id: 1259804
{'charpoly_factorization': [[[3, -27, 81, -96, 51, -12, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 11}
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id: 1259805
{'charpoly_factorization': [[[1, 57, 90, 2, -24, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 13}
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id: 1259806
{'charpoly_factorization': [[[27, -81, -54, 54, 9, -9, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 17}
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id: 1259807
{'charpoly_factorization': [[[19, -120, 168, 38, -30, -3, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 19}
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id: 1259808
{'charpoly_factorization': [[[327, 45, -432, 33, 60, -15, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 23}
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id: 1259809
{'charpoly_factorization': [[[-213, 1098, -1566, 462, -3, -12, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 29}
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id: 1259810
{'charpoly_factorization': [[[163, -105, -180, 191, -51, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 31}
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id: 1259811
{'charpoly_factorization': [[[4933, -3873, 492, 254, -57, -3, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 37}
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id: 1259812
{'charpoly_factorization': [[[3351, -2286, -1350, 600, 6, -15, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 41}
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id: 1259813
{'charpoly_factorization': [[[1819, -7602, 2358, 173, -96, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 43}
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id: 1259814
{'charpoly_factorization': [[[6537, 279, -2106, 228, 105, -21, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 47}
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id: 1259815
{'charpoly_factorization': [[[-12393, 2916, 4617, 513, -108, -9, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 53}
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id: 1259816
{'charpoly_factorization': [[[-13281, 15957, -5832, 429, 141, -24, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 59}
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id: 1259817
{'charpoly_factorization': [[[16543, -24945, 9198, -520, -159, 9, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 61}
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id: 1259818
{'charpoly_factorization': [[[-2879, 3126, 1152, -934, -114, 9, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 67}
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id: 1259819
{'charpoly_factorization': [[[27, 243, -702, -486, 225, -27, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 71}
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id: 1259820
{'charpoly_factorization': [[[-431, 1437, 3984, -250, -174, 6, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 73}
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id: 1259821
{'charpoly_factorization': [[[1873, -6279, 5085, -70, -177, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 79}
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id: 1259822
{'charpoly_factorization': [[[-83373, -3249, 10422, 1155, -165, -12, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 83}
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id: 1259823
{'charpoly_factorization': [[[32589, -30456, 4968, 1026, -180, -9, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 89}
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id: 1259824
{'charpoly_factorization': [[[-8171, -21966, 5598, 713, -204, 0, 1], 1]], 'hecke_orbit_code': 13510798915666649, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '729.2.a.d', '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: 126097000
{'hecke_orbit_code': 13510798915666649, 'n': 1, 'trace_an': 6}
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id: 126097001
{'hecke_orbit_code': 13510798915666649, 'n': 2, 'trace_an': 3}
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id: 126097002
{'hecke_orbit_code': 13510798915666649, 'n': 3, 'trace_an': 0}
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id: 126097003
{'hecke_orbit_code': 13510798915666649, 'n': 4, 'trace_an': 3}
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id: 126097004
{'hecke_orbit_code': 13510798915666649, 'n': 5, 'trace_an': 6}
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id: 126097005
{'hecke_orbit_code': 13510798915666649, 'n': 6, 'trace_an': 0}
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id: 126097006
{'hecke_orbit_code': 13510798915666649, 'n': 7, 'trace_an': 0}
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id: 126097007
{'hecke_orbit_code': 13510798915666649, 'n': 8, 'trace_an': 6}
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id: 126097008
{'hecke_orbit_code': 13510798915666649, 'n': 9, 'trace_an': 0}
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id: 126097009
{'hecke_orbit_code': 13510798915666649, 'n': 10, 'trace_an': 3}
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id: 126097010
{'hecke_orbit_code': 13510798915666649, 'n': 11, 'trace_an': 12}
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id: 126097011
{'hecke_orbit_code': 13510798915666649, 'n': 12, 'trace_an': 0}
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id: 126097012
{'hecke_orbit_code': 13510798915666649, 'n': 13, 'trace_an': 0}
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id: 126097013
{'hecke_orbit_code': 13510798915666649, 'n': 14, 'trace_an': 6}
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id: 126097014
{'hecke_orbit_code': 13510798915666649, 'n': 15, 'trace_an': 0}
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id: 126097015
{'hecke_orbit_code': 13510798915666649, 'n': 16, 'trace_an': -3}
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id: 126097016
{'hecke_orbit_code': 13510798915666649, 'n': 17, 'trace_an': 9}
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id: 126097017
{'hecke_orbit_code': 13510798915666649, 'n': 18, 'trace_an': 0}
-
id: 126097018
{'hecke_orbit_code': 13510798915666649, 'n': 19, 'trace_an': 3}
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id: 126097019
{'hecke_orbit_code': 13510798915666649, 'n': 20, 'trace_an': 6}
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id: 126097020
{'hecke_orbit_code': 13510798915666649, 'n': 21, 'trace_an': 0}
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id: 126097021
{'hecke_orbit_code': 13510798915666649, 'n': 22, 'trace_an': 6}
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id: 126097022
{'hecke_orbit_code': 13510798915666649, 'n': 23, 'trace_an': 15}
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id: 126097023
{'hecke_orbit_code': 13510798915666649, 'n': 24, 'trace_an': 0}
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id: 126097024
{'hecke_orbit_code': 13510798915666649, 'n': 25, 'trace_an': -6}
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id: 126097025
{'hecke_orbit_code': 13510798915666649, 'n': 26, 'trace_an': 15}
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id: 126097026
{'hecke_orbit_code': 13510798915666649, 'n': 27, 'trace_an': 0}
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id: 126097027
{'hecke_orbit_code': 13510798915666649, 'n': 28, 'trace_an': -6}
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id: 126097028
{'hecke_orbit_code': 13510798915666649, 'n': 29, 'trace_an': 12}
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id: 126097029
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