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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': 7459857, 'field_disc_factorization': [[3, 9], [379, 1]], 'field_poly': [-8, -12, 12, 13, -6, -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, -18, 0, 21, -6, -3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037145, 'hecke_ring_generator_nbound': 5, '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': True, 'label': '729.2.a.e', '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': '729.2.a.b', 'nf_label': '6.6.7459857.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{1}+\\beta _{3})q^{2}+(1+\\beta _{1}+\\beta _{2}+\\beta _{4}+\\cdots)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, -3, 6], 'trace_hash': 1599406402432703629, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.129', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.691', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.772', 'prec': 17}, {'__RealLiteral__': 0, 'data': '92.693', 'prec': 20}, {'__RealLiteral__': 0, 'data': '163.440', 'prec': 24}, {'__RealLiteral__': 0, 'data': '2275.210', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [6, 3, 0, 9, -3, 0, 6, 6, 0, 6, -6, 0, 6, 24, 0, 15, -9, 0, 12, -21, 0, 3, -12, 0, 9, 24, 0, 3, 21, 0, 15, 0, 0, 0, 30, 0, 3, 15, 0, 3, -12, 0, 6, -33, 0, -3, -15, 0, 12, -24, 0, 3, -9, 0, 15, 12, 0, -15, 6, 0, 24, -30, 0, 6, -15, 0, 15, 36, 0, -15, 0, 0, 12, 24, 0, 9, 15, 0, 24, -21, 0, -21, -6, 0, -18, -30, 0, -21, -9, 0, 18, 6, 0, -6, -33, 0, -21, 18, 0, -15, -6, 0, 24, 30, 0, -27, -36, 0, -6, -54, 0, -21, -3, 0, 3, -33, 0, -30, -18, 0, 0, -30, 0, -6, 39, 0, 12, 66, 0, -60, 6, 0, -15, 42, 0, -9, 39, 0, 15, 21, 0, -54, 33, 0, -21, 51, 0, -63, -39, 0, 24, 75, 0, -57, 3, 0, -21, -12, 0, -36, 3, 0, -15, -84, 0, -6, 69, 0, -6, -9, 0, -60, -24, 0, 3, -42, 0, -27, -27, 0, -15, 3, 0, -51, 66, 0, 0, -15, 0, -42, -33, 0, -12, 15, 0, 3, -27, 0, 30, -30, 0, -24, -3, 0, -15, 6, 0, -3, -12, 0, 24, 27, 0, -36, -6, 0, 0, -12, 0, 6, -9, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, -1], [0, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0], [1, 1, 0, 1, -1, 0], [0, 1, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0], [2, -1, -1, -1, 0, -1], [-1, 0, 1, -1, -1, 1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1], [4, 1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0], [2, 0, 3, 1, 2, -1], [-2, 1, 2, -1, 1, -1], [0, 0, 0, 0, 0, 0], [1, 0, -1, 1, 1, 1], [-4, 1, -5, 3, -1, 1], [0, 0, 0, 0, 0, 0], [1, -2, 1, -5, 0, 1], [-2, 1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -1, -1, 0], [3, 1, 3, -3, 1, 0], [0, 0, 0, 0, 0, 0], [-1, 3, -4, 5, 0, 0], [4, -2, -1, -2, -1, 2], [0, 0, 0, 0, 0, 0], [4, -2, 0, -2, -1, 0], [-2, 2, 5, 1, 3, -1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, 1, 1], [7, -2, -1, 1, -1, -1], [0, 0, 0, 0, 0, 0], [1, 0, -4, 4, -2, 1], [1, 2, 5, -1, 2, -1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -6, -2, -1], [-2, -1, -4, -1, -1, 2], [0, 0, 0, 0, 0, 0], [2, -2, 0, -4, -2, 2], [-6, -1, -3, 0, -1, 3], [0, 0, 0, 0, 0, 0], [1, -1, -4, 1, -2, 0], [-3, 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0, -4, -2, 2], [-5, 6, 5, 1, -2, 1], [8, 6, -2, 4, 3, -2], [-8, 6, -7, 5, 0, 2], [-4, -2, -2, 2, -3, 4], [-5, 3, -1, 4, 1, 1], [-7, 1, -2, -5, -2, 4], [-1, 1, -5, 6, 1, -4], [-5, 5, 2, 4, 0, -4], [4, 3, -1, 4, 4, -5], [5, -5, 0, 5, 1, 2], [7, -2, 3, 1, -4, -3], [10, 0, 2, -4, -3, -4], [3, -5, -9, 0, 3, -2], [4, 4, -1, 2, 1, -4], [-8, 1, -1, 6, 6, -1], [-3, 4, -3, 0, 0, 1], [1, 5, -4, 7, 3, 2], [1, 2, -10, 11, 2, -1], [17, -1, -2, 9, 0, -2], [-3, -3, -9, -6, -3, 6], [14, 0, -6, -6, -3, 0], [-2, -5, -6, 1, -1, 0], [4, -6, 2, 5, 0, 2], [0, 7, 3, -6, 3, -5], [-12, 7, 6, 0, 4, 3], [11, -6, 9, -9, -3, 3], [-10, 5, 1, 2, 10, 1], [2, 1, 9, -7, 1, -1], [-12, -4, -3, -6, 5, 0], [4, -11, -3, -8, 2, 3], [0, -2, 3, -3, -3, -5], [-5, -5, -10, 3, 0, 2], [-3, -8, 0, 0, 0, 4], [12, -5, -6, 7, -6, 0], [11, -10, -5, -11, -1, 1], [0, 7, -5, 16, 3, 1], [-10, -2, 3, -7, 7, -1], [4, 0, -4, 4, -2, -2], [7, 0, -1, -5, 1, 5], [0, 3, 3, 8, -5, -3], [-5, -6, -4, -2, -2, 1], [14, 4, 7, 3, -1, -2], [1, 4, 0, -11, -1, -3], [18, -7, 9, -4, 3, -3], [5, -11, 0, -4, -5, 2], [10, 9, -1, 12, -1, -1], [-5, -3, -7, 7, 1, 4], [14, -2, -8, 6, -5, 8], [1, 9, 20, -13, 6, -4], [12, -5, 3, 2, 2, -3], [-12, 1, 6, 0, 0, 1], [1, 10, 2, 10, -1, 2], [-8, 7, 9, -2, 8, -3], [-2, -1, -13, 4, 3, -1], [11, -4, -5, -3, 0, 7], [4, 3, 5, -8, 7, 1], [8, 3, 13, -8, -3, -5], [4, 1, 19, -4, 2, -3], [2, 4, -14, -4, 3, 4], [5, 4, 7, -9, -1, -5], [-15, 2, 12, -2, 4, 0], [11, -15, 0, -9, -6, 0], [-14, 3, -10, 1, -5, 1], [-1, 7, -14, 3, -2, 2], [17, -8, -2, -7, -9, 1], [-1, -2, -11, 3, 2, -5], [-16, 1, -5, 7, 7, 1], [-11, -2, 9, 7, 2, -3], [-1, 3, 0, -12, -3, -6], [7, 5, 2, 3, 4, -10], [8, -9, 13, -15, -8, -5], [2, 3, -11, -8, 3, -5], [-2, 10, -3, 19, 11, -12], [18, 1, 3, 0, -3, 1], [-13, 3, 3, 6, 0, -3], [-5, -2, 5, 0, -3, 5], [-2, -2, -2, 8, 5, -6], [-8, 3, -1, -2, -5, 7], [-13, 8, 7, -6, -6, 7], [-3, 1, -8, 13, 0, -2], [22, -12, 8, 0, 8, -4], [-2, 3, -10, 1, 7, -4], [26, -3, 7, -10, 2, 1], [-2, -8, 10, -7, -4, 6], [-12, 7, 9, -3, 6, -5], [0, -14, 12, -8, -3, 0], [21, 5, 0, 1, -8, 0], [-7, 1, -18, 5, -2, 2], [11, 3, 1, -3, 4, -2], [-11, 1, 12, -2, 2, 6], [17, -11, -8, -7, -6, 4], [4, -11, 1, -16, 8, 3], [-2, -5, -3, -20, 2, 3], [-5, 0, -1, -11, -8, 7], [3, -7, 12, -13, -9, 6], [17, -2, 21, -1, 1, -13], [-4, 0, 15, -3, 0, 3], [-6, 6, 3, -14, -10, 0], [-3, -5, 3, -6, 6, 4], [6, 7, -9, 11, 5, -3], [5, -8, -5, 9, -8, -1], [8, -7, -8, -4, 4, 1], [12, -3, -6, 0, 0, -3], [4, -15, 17, -14, 1, -5], [0, -18, -3, 5, -2, 6], [-15, 7, 18, -9, 12, -2], [-3, -5, 0, -1, -10, 0], [7, 6, -1, 7, 4, -5], [-2, 4, 8, 4, -1, -10], [-6, 7, 10, 1, -9, 4], [10, -7, -7, -15, -5, -1], [-10, -2, 0, -4, -2, 2], [-5, 0, -1, 15, -4, 5], [-15, 19, 6, 12, 3, -8], [16, 10, 11, -1, -8, -1], [-11, -12, -1, -11, 10, 1], [-36, 16, 12, 12, 10, -6], [2, -2, -18, -10, 1, 2], [-9, 5, 0, 3, 11, 0], [14, 0, -6, -6, -6, 6], [27, -3, -3, -7, -8, 0], [1, 9, 8, -14, 1, -2], [17, -8, -2, -3, -1, 1], [9, -2, -15, 7, -6, 9], [5, -16, -11, 4, 2, 1], [-3, 1, -26, 7, 0, 4], [2, -3, 19, -30, 1, 1], [-3, -3, 6, 13, -4, 0], [-24, 3, -3, -4, -8, 3], [2, 3, -21, 18, -3, 9], [19, -11, -5, -13, -1, 0]], 'char_orbit_index': 1, 'field_poly': [-8, -12, 12, 13, -6, -3, 1], 'hecke_orbit_code': 18014398543037145, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 4, 2, 4], '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], [3, 1, 0, -1, -1, 1], [4, 5, 0, -5, -2, 3], [20, 12, 2, -19, -10, 13], [53, 45, 6, -70, -29, 44]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [4, 7, -4, -3, 1, 0], [-8, 8, 13, -6, -3, 1], [2, 4, 7, -4, -3, 1], [-16, 12, 31, -14, -9, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '729.2.a.e', '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: 473311
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '729.2.a.b', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473312
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '729.2.a.e', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473313
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.c.a', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473314
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '729.2.c.d', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473315
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473316
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473317
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473318
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473319
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473320
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '729.2.a.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1259825
{'charpoly_factorization': [[[-3, -18, 0, 21, -6, -3, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 2}
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id: 1259826
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014398543037145, 'p': 3}
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id: 1259827
{'charpoly_factorization': [[[159, 189, 9, -57, -15, 3, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 5}
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id: 1259828
{'charpoly_factorization': [[[136, -288, -6, 83, -9, -6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 7}
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id: 1259829
{'charpoly_factorization': [[[888, 648, -90, -141, -15, 6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 11}
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id: 1259830
{'charpoly_factorization': [[[-89, -108, 75, 74, -18, -6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 13}
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id: 1259831
{'charpoly_factorization': [[[459, 486, -108, -135, 0, 9, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 17}
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id: 1259832
{'charpoly_factorization': [[[-296, -588, -84, 155, 15, -12, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 19}
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id: 1259833
{'charpoly_factorization': [[[456, -396, -756, -201, 21, 12, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 23}
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id: 1259834
{'charpoly_factorization': [[[9879, -585, -2277, 219, 111, -21, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 29}
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id: 1259835
{'charpoly_factorization': [[[-1016, 2088, -1338, 227, 45, -15, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 31}
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id: 1259836
{'charpoly_factorization': [[[-16109, -9237, 3165, 461, -129, -3, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 37}
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id: 1259837
{'charpoly_factorization': [[[23109, 13329, -126, -849, -60, 12, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 41}
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id: 1259838
{'charpoly_factorization': [[[17344, -13536, 1776, 632, -108, -6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 43}
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id: 1259839
{'charpoly_factorization': [[[17736, 16596, -576, -1059, -42, 15, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 47}
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id: 1259840
{'charpoly_factorization': [[[1944, 14580, 1620, -729, -81, 9, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 53}
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id: 1259841
{'charpoly_factorization': [[[-408, -1404, 684, 375, -105, -6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 59}
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id: 1259842
{'charpoly_factorization': [[[1576, -3564, -3264, 551, 117, -24, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 61}
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id: 1259843
{'charpoly_factorization': [[[-17288, -13644, 1794, 1019, -54, -15, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 67}
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id: 1259844
{'charpoly_factorization': [[[29376, 20736, 2592, -864, -180, 0, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 71}
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id: 1259845
{'charpoly_factorization': [[[57601, -37020, 159, 2054, -156, -12, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 73}
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id: 1259846
{'charpoly_factorization': [[[-93176, 78372, -23622, 2675, 27, -24, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 79}
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id: 1259847
{'charpoly_factorization': [[[4344, 5976, 954, -501, -87, 6, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 83}
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id: 1259848
{'charpoly_factorization': [[[-123957, 17577, 10395, -999, -225, 9, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 89}
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id: 1259849
{'charpoly_factorization': [[[-18251, -28098, -10482, -1159, 72, 21, 1], 1]], 'hecke_orbit_code': 18014398543037145, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '729.2.a.e', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 147104000
{'hecke_orbit_code': 18014398543037145, 'n': 1, 'trace_an': 6}
-
id: 147104001
{'hecke_orbit_code': 18014398543037145, 'n': 2, 'trace_an': 3}
-
id: 147104002
{'hecke_orbit_code': 18014398543037145, 'n': 3, 'trace_an': 0}
-
id: 147104003
{'hecke_orbit_code': 18014398543037145, 'n': 4, 'trace_an': 9}
-
id: 147104004
{'hecke_orbit_code': 18014398543037145, 'n': 5, 'trace_an': -3}
-
id: 147104005
{'hecke_orbit_code': 18014398543037145, 'n': 6, 'trace_an': 0}
-
id: 147104006
{'hecke_orbit_code': 18014398543037145, 'n': 7, 'trace_an': 6}
-
id: 147104007
{'hecke_orbit_code': 18014398543037145, 'n': 8, 'trace_an': 6}
-
id: 147104008
{'hecke_orbit_code': 18014398543037145, 'n': 9, 'trace_an': 0}
-
id: 147104009
{'hecke_orbit_code': 18014398543037145, 'n': 10, 'trace_an': 6}
-
id: 147104010
{'hecke_orbit_code': 18014398543037145, 'n': 11, 'trace_an': -6}
-
id: 147104011
{'hecke_orbit_code': 18014398543037145, 'n': 12, 'trace_an': 0}
-
id: 147104012
{'hecke_orbit_code': 18014398543037145, 'n': 13, 'trace_an': 6}
-
id: 147104013
{'hecke_orbit_code': 18014398543037145, 'n': 14, 'trace_an': 24}
-
id: 147104014
{'hecke_orbit_code': 18014398543037145, 'n': 15, 'trace_an': 0}
-
id: 147104015
{'hecke_orbit_code': 18014398543037145, 'n': 16, 'trace_an': 15}
-
id: 147104016
{'hecke_orbit_code': 18014398543037145, 'n': 17, 'trace_an': -9}
-
id: 147104017
{'hecke_orbit_code': 18014398543037145, 'n': 18, 'trace_an': 0}
-
id: 147104018
{'hecke_orbit_code': 18014398543037145, 'n': 19, 'trace_an': 12}
-
id: 147104019
{'hecke_orbit_code': 18014398543037145, 'n': 20, 'trace_an': -21}
-
id: 147104020
{'hecke_orbit_code': 18014398543037145, 'n': 21, 'trace_an': 0}
-
id: 147104021
{'hecke_orbit_code': 18014398543037145, 'n': 22, 'trace_an': 3}
-
id: 147104022
{'hecke_orbit_code': 18014398543037145, 'n': 23, 'trace_an': -12}
-
id: 147104023
{'hecke_orbit_code': 18014398543037145, 'n': 24, 'trace_an': 0}
-
id: 147104024
{'hecke_orbit_code': 18014398543037145, 'n': 25, 'trace_an': 9}
-
id: 147104025
{'hecke_orbit_code': 18014398543037145, 'n': 26, 'trace_an': 24}
-
id: 147104026
{'hecke_orbit_code': 18014398543037145, 'n': 27, 'trace_an': 0}
-
id: 147104027
{'hecke_orbit_code': 18014398543037145, 'n': 28, 'trace_an': 3}
-
id: 147104028
{'hecke_orbit_code': 18014398543037145, 'n': 29, 'trace_an': 21}
-
id: 147104029
{'hecke_orbit_code': 18014398543037145, 'n': 30, 'trace_an': 0}
-
id: 147104030
{'hecke_orbit_code': 18014398543037145, 'n': 31, 'trace_an': 15}
-
id: 147104031
{'hecke_orbit_code': 18014398543037145, 'n': 32, 'trace_an': 0}
-
id: 147104032
{'hecke_orbit_code': 18014398543037145, 'n': 33, 'trace_an': 0}
-
id: 147104033
{'hecke_orbit_code': 18014398543037145, 'n': 34, 'trace_an': 0}
-
id: 147104034
{'hecke_orbit_code': 18014398543037145, 'n': 35, 'trace_an': 30}
-
id: 147104035
{'hecke_orbit_code': 18014398543037145, 'n': 36, 'trace_an': 0}
-
id: 147104036
{'hecke_orbit_code': 18014398543037145, 'n': 37, 'trace_an': 3}
-
id: 147104037
{'hecke_orbit_code': 18014398543037145, 'n': 38, 'trace_an': 15}
-
id: 147104038
{'hecke_orbit_code': 18014398543037145, 'n': 39, 'trace_an': 0}
-
id: 147104039
{'hecke_orbit_code': 18014398543037145, 'n': 40, 'trace_an': 3}
-
id: 147104040
{'hecke_orbit_code': 18014398543037145, 'n': 41, 'trace_an': -12}
-
id: 147104041
{'hecke_orbit_code': 18014398543037145, 'n': 42, 'trace_an': 0}
-
id: 147104042
{'hecke_orbit_code': 18014398543037145, 'n': 43, 'trace_an': 6}
-
id: 147104043
{'hecke_orbit_code': 18014398543037145, 'n': 44, 'trace_an': -33}
-
id: 147104044
{'hecke_orbit_code': 18014398543037145, 'n': 45, 'trace_an': 0}
-
id: 147104045
{'hecke_orbit_code': 18014398543037145, 'n': 46, 'trace_an': -3}
-
id: 147104046
{'hecke_orbit_code': 18014398543037145, 'n': 47, 'trace_an': -15}
-
id: 147104047
{'hecke_orbit_code': 18014398543037145, 'n': 48, 'trace_an': 0}
-
id: 147104048
{'hecke_orbit_code': 18014398543037145, 'n': 49, 'trace_an': 12}
-
id: 147104049
{'hecke_orbit_code': 18014398543037145, 'n': 50, 'trace_an': -24}
-
id: 147104050
{'hecke_orbit_code': 18014398543037145, 'n': 51, 'trace_an': 0}
-
id: 147104051
{'hecke_orbit_code': 18014398543037145, 'n': 52, 'trace_an': 3}
-
id: 147104052
{'hecke_orbit_code': 18014398543037145, 'n': 53, 'trace_an': -9}
-
id: 147104053
{'hecke_orbit_code': 18014398543037145, 'n': 54, 'trace_an': 0}
-
id: 147104054
{'hecke_orbit_code': 18014398543037145, 'n': 55, 'trace_an': 15}
-
id: 147104055
{'hecke_orbit_code': 18014398543037145, 'n': 56, 'trace_an': 12}
-
id: 147104056
{'hecke_orbit_code': 18014398543037145, 'n': 57, 'trace_an': 0}
-
id: 147104057
{'hecke_orbit_code': 18014398543037145, 'n': 58, 'trace_an': -15}
-
id: 147104058
{'hecke_orbit_code': 18014398543037145, 'n': 59, 'trace_an': 6}
-
id: 147104059
{'hecke_orbit_code': 18014398543037145, 'n': 60, 'trace_an': 0}
-
id: 147104060
{'hecke_orbit_code': 18014398543037145, 'n': 61, 'trace_an': 24}
-
id: 147104061
{'hecke_orbit_code': 18014398543037145, 'n': 62, 'trace_an': -30}
-
id: 147104062
{'hecke_orbit_code': 18014398543037145, 'n': 63, 'trace_an': 0}
-
id: 147104063
{'hecke_orbit_code': 18014398543037145, 'n': 64, 'trace_an': 6}
-
id: 147104064
{'hecke_orbit_code': 18014398543037145, 'n': 65, 'trace_an': -15}
-
id: 147104065
{'hecke_orbit_code': 18014398543037145, 'n': 66, 'trace_an': 0}
-
id: 147104066
{'hecke_orbit_code': 18014398543037145, 'n': 67, 'trace_an': 15}
-
id: 147104067
{'hecke_orbit_code': 18014398543037145, 'n': 68, 'trace_an': 36}
-
id: 147104068
{'hecke_orbit_code': 18014398543037145, 'n': 69, 'trace_an': 0}
-
id: 147104069
{'hecke_orbit_code': 18014398543037145, 'n': 70, 'trace_an': -15}
-
id: 147104070
{'hecke_orbit_code': 18014398543037145, 'n': 71, 'trace_an': 0}
-
id: 147104071
{'hecke_orbit_code': 18014398543037145, 'n': 72, 'trace_an': 0}
-
id: 147104072
{'hecke_orbit_code': 18014398543037145, 'n': 73, 'trace_an': 12}
-
id: 147104073
{'hecke_orbit_code': 18014398543037145, 'n': 74, 'trace_an': 24}
-
id: 147104074
{'hecke_orbit_code': 18014398543037145, 'n': 75, 'trace_an': 0}
-
id: 147104075
{'hecke_orbit_code': 18014398543037145, 'n': 76, 'trace_an': 9}
-
id: 147104076
{'hecke_orbit_code': 18014398543037145, 'n': 77, 'trace_an': 15}
-
id: 147104077
{'hecke_orbit_code': 18014398543037145, 'n': 78, 'trace_an': 0}
-
id: 147104078
{'hecke_orbit_code': 18014398543037145, 'n': 79, 'trace_an': 24}
-
id: 147104079
{'hecke_orbit_code': 18014398543037145, 'n': 80, 'trace_an': -21}
-
id: 147104080
{'hecke_orbit_code': 18014398543037145, 'n': 81, 'trace_an': 0}
-
id: 147104081
{'hecke_orbit_code': 18014398543037145, 'n': 82, 'trace_an': -21}
-
id: 147104082
{'hecke_orbit_code': 18014398543037145, 'n': 83, 'trace_an': -6}
-
id: 147104083
{'hecke_orbit_code': 18014398543037145, 'n': 84, 'trace_an': 0}
-
id: 147104084
{'hecke_orbit_code': 18014398543037145, 'n': 85, 'trace_an': -18}
-
id: 147104085
{'hecke_orbit_code': 18014398543037145, 'n': 86, 'trace_an': -30}
-
id: 147104086
{'hecke_orbit_code': 18014398543037145, 'n': 87, 'trace_an': 0}
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id: 147104087
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