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mf_newforms • Show schema
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{'Nk2': 840, 'analytic_conductor': 1.676858442446888, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [210, 6, [71, 127, 31], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 59, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 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': [[11, [16, -36, 31, -9, 1]], [13, [-2, 1]], [23, [36, -18, 15, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504905330983122, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 105, 16, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '210.2.t.b', 'level': 210, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.t.a', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 16, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}-\\beta _{1}q^{3}-\\beta _{2}q^{4}+(-2\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '210.2.t', 'trace_display': [-2, -1, -3, 10], 'trace_hash': 946796706820714163, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.766', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.293', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1163.611', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.177', 'prec': 17}, 'traces': [4, -2, -1, -2, -3, -1, 10, 4, 5, 6, 9, 2, 8, -8, 14, -2, 0, -10, -12, -3, -4, 0, -3, -1, 1, -4, -16, -2, 0, -7, 9, -2, -11, 0, -3, 5, 6, 12, -2, -3, 18, -1, 0, -9, 2, -3, -18, -1, 22, 1, -44, -4, 3, 8, -19, 10, 6, 0, -9, -7, -27, 0, 5, 4, -6, 1, -9, 0, 15, 15, 0, 5, -4, -6, -16, 0, 27, -2, -1, 6, -7, -9, 0, 5, -22, 21, -11, 9, 3, 2, 20, 6, 33, 18, 0, 2, 26, -26, 28, -2, 27, 22, -13, 8, 35, -6, -24, 8, -1, 8, -36, -8, -36, 0, 9, 0, 10, 18, 0, 14, -3, 27, 12, -9, -36, -25, 0, -2, -6, 12, 15, 10, -24, 0, 23, 0, 6, 3, 0, -12, -2, -18, 18, -10, 11, 8, -13, 0, -9, 32, -1, -12, 22, -9, 3, 4, -16, -1, -3, -3, -12, -7, -12, -9, 37, 18, 0, -4, -36, -22, 0, -21, 36, -11, 4, 0, 9, 3, 36, -4, 0, -16, -3, -3, -66, -21, 22, 0, -40, -18, 36, -1, -45, -13, 28, 4, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 0, 1, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, -2, -1], [0, 0, 0, 1], [2, 0, 1, 0], [1, 0, 0, 0], [0, 0, 3, 1], [2, -1, 0, 1], [3, 0, -1, 1], [0, 1, 0, -1], [2, 0, 0, 0], [-3, 0, 2, 0], [3, 1, 0, -1], [-1, 0, 1, 0], [0, 0, 2, 4], [-3, 1, 0, -1], [-2, 0, -2, 0], [-2, 1, 2, 0], [0, -3, 0, 1], [-2, 1, 3, -1], [-2, 1, 1, -2], [0, -1, 0, 0], [-1, 3, 1, 0], [-2, 0, 2, 0], [-3, -2, 0, 2], [1, 0, -3, 0], [1, -2, 0, 2], [-3, -1, 3, 0], [3, 0, -3, -3], [0, 0, -1, 0], [-3, -1, 0, -2], [-2, 4, 0, -4], [2, -1, -6, -2], [3, -1, -3, 0], [-2, 6, 4, 0], [4, 0, -2, 0], [0, -2, 0, 0], [0, 0, -2, -1], [5, -1, -1, -1], [0, 1, 0, 2], [5, -3, -7, 3], [-1, -1, -2, 0], [3, -4, -3, 0], [1, -2, -2, 1], [-4, 2, -2, 0], [0, 0, 0, 1], [3, 0, 5, 0], [0, 0, -1, -3], [-12, 2, 0, -2], [0, 0, -2, 0], [1, -2, 1, 1], [3, 2, -3, 0], [-5, 0, -1, -3], [2, 0, 1, 0], [0, 4, 0, -2], [-1, 2, 1, 0], [-3, 6, -3, -3], [0, 0, -3, 1], [-6, 3, -3, 0], [0, -3, 3, 3], [-3, 1, 9, 2], [1, 0, 0, 0], [0, 0, -4, -2], [3, -2, -3, 3], [-3, 0, 0, -3], [2, -4, -2, 0], [6, -1, -3, 2], [4, -2, 2, 3], [-2, -2, 6, 2], [0, 0, 3, 1], [0, 0, -2, 0], [-2, 0, -2, -6], [0, 0, -9, -2], [-2, 0, 4, 0], [7, 1, 0, 2], [0, 0, 0, 2], [1, -3, 2, 6], [2, -1, 0, 1], [-6, 5, 6, 0], [-4, -1, 5, 2], [1, 4, -6, -4], [0, 2, 0, -3], [-8, -6, 8, 0], [2, 3, 5, 0], [-6, 1, 6, 0], [3, 0, -1, 1], [2, -1, -1, 2], [0, 0, 3, 4], [4, 0, 2, 0], [1, 1, 1, 1], [9, -3, 0, 0], [6, 0, -4, -2], [-4, 2, 8, 2], [0, 1, 0, -1], [8, -3, -3, -3], [-8, 0, 3, 0], [6, 1, 3, 3], [1, -3, 0, 3]], 'ap': [[-1, 0, 1, 0], [0, -1, 0, 0], [0, 0, -2, -1], [2, 0, 1, 0], [3, 0, -1, 1], [2, 0, 0, 0], [0, 0, 2, 4], [-2, 0, -2, 0], [-2, 1, 1, -2], [1, -2, 0, 2], [3, 0, -3, -3], [-2, 6, 4, 0], [5, -1, -1, -1], [5, -3, -7, 3], [-4, 2, -2, 0], [1, -2, 1, 1], [-3, 6, -3, -3], [-6, 3, -3, 0], [-3, 0, 0, -3], [-2, -2, 6, 2], [0, 0, -2, 0], [1, -3, 2, 6], [1, 4, -6, -4], [2, -1, -1, 2], [8, -3, -3, -3], [-1, 2, 14, -1], [-8, 3, 5, -6], [-13, 2, 11, -4], [3, -6, -2, 3], [-10, 2, 2, 2], [0, -3, 3, 3], [7, 1, -8, -2], [2, -4, 2, 2], [4, -6, -2, 6], [2, -7, -5, 0], [-3, 6, 1, -3], [0, 0, -8, 0], [-2, 0, -2, 0], [7, 1, -15, -1], [8, -4, 4, 0], [12, 0, -10, -8], [-9, 3, 15, -3], [8, -4, 4, 0], [-15, 0, 9, 3], [0, -6, -6, -6], [-10, 0, 2, -6], [2, -6, -6, -6], [8, 3, 3, 3], [3, 0, -7, -11], [8, 0, 8, 0], [14, -4, -10, 8], [-2, -8, 12, 8], [-5, 0, 7, 9], [6, 3, 3, 3], [2, 2, 4, 0], [-1, 2, -4, -1], [-8, 16, 1, -8], [1, -9, -8, 0], [22, 0, -8, 6], [-8, 10, 6, -10], [0, 0, 16, 0], [-14, 1, 27, -1], [17, -3, -3, -3], [6, -12, 0, 6], [7, -3, -4, 6], [-9, 3, 6, -6], [4, 6, -10, -12], [4, -3, -5, 3], [3, -6, -12, 3], [-7, 15, -1, -15], [-18, 0, 8, -2], [14, -4, 10, 0], [-6, 12, 7, -6], [8, -12, -4, 0], [2, 6, 6, 6], [-4, 11, 7, 0], [-24, 0, 8, -8], [-8, 0, 8, 0], [-10, -1, -11, 0], [-18, 0, 3, -12], [-16, -4, -4, -4], [5, 3, 3, 3], [-12, 0, 8, 4], [-34, 0, 0, 0], [-3, -3, -6, 0], [-9, 0, 9, 0], [13, -17, -9, 17], [3, 3, 6, 0], [-14, 4, 4, 4], [-17, 9, 25, -9], [-16, 11, -5, 0], [2, -4, -4, 2], [11, 0, -7, -3], [16, 1, -33, -1], [-14, 6, 8, -12], [-5, 1, 9, -1], [-5, -2, 7, 4], [-2, 4, -8, -2], [10, -6, -4, 12], [-8, -9, 17, 18], [-1, -3, 5, 3], [-5, 10, -11, -5], [6, 0, -1, 4], [2, -10, -8, 0], [6, -12, -20, 6], [3, -6, 25, 3], [16, -11, -21, 11], [14, -4, 10, 0], [-6, 0, 2, -2], [2, -9, 5, 9], [1, 12, -13, -24], [8, 0, -10, -12], [-28, 8, 8, 8], [4, 0, 4, 12], [20, 3, 3, 3], [3, 0, 2, 7], [-4, 6, 6, 6], [39, 0, -22, -5], [13, 1, -14, -2], [-14, 16, 12, -16], [9, 0, -6, -3], [14, 9, -37, -9], [-7, -13, -20, 0], [-8, 16, -5, -8], [0, -12, -12, 0], [-11, -8, 30, 8], [-2, -3, 5, 6], [38, 2, -40, -4], [-19, 0, 0, 0], [-8, 12, -4, -24], [-6, 12, 22, -6], [5, -7, -7, -7], [-35, 3, 32, -6], [6, 6, -18, -6], [34, -8, -26, 16], [22, -3, -41, 3], [6, 0, -4, -2], [3, -6, -20, 3], [-2, 1, 3, -1], [39, 0, -22, -5], [6, 0, -12, 0], [5, 5, 10, 0], [33, 0, -12, 9], [33, 0, 0, 0], [-10, 0, 2, -6], [-32, 10, 10, 10], [-10, 12, 12, 12], [36, 0, -16, 4], [-16, 24, 8, 0], [-10, -1, 11, 2], [8, -18, -10, 0], [-21, -9, -9, -9], [-18, 30, 6, -30], [-4, -19, -23, 0], [-23, 0, 4, -15], [16, 4, -36, -4], [4, -6, 2, 12], [-24, -3, 27, 6], [20, 9, 9, 9], [-9, 18, 3, -9], [-36, 3, 33, -6], [-48, 0, 0, 0], [19, -24, -14, 24], [-31, -1, 32, 2], [-12, 24, 12, -12], [-27, 0, 14, 1], [-9, 18, 7, -9], [12, -24, -2, 12]], 'char_orbit_index': 20, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 4504905330983122, 'hecke_ring_character_values': [[71, [-1, 0, 0, 0]], [127, [-1, 0, 0, 0]], [31, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 1], [3, 2, 0, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -2, 2, 1], [3, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '210.2.t.b', 'level': 210, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 840, 'analytic_conductor': 1.676858442446888, 'char_conductor': 105, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [210, 6, [71, 127, 31], [3, 3, 1]], 'conrey_index': 59, 'cusp_dim': 80, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23], 'hecke_orbit_code': 1305703612626, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8], 'label': '210.2.t', 'level': 210, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 112, 'mf_new_dim': 32, 'num_forms': 6, 'prim_orbit_index': 16, 'relative_dim': 16, 'sturm_bound': 96, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, -16, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 20, -16, 0, 0, -24, 0, 10, 0, 0, -6, 6, 0, 0, 0, 0, -10, -12, 0, 0, 0, 0, -12, 0, 0, -12, 6, 0, 0, 0, 0, 6, -4, 0, 0, 40, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -10, -60, 0, 0, 32, 0, 48, 0, 0, 0, -10, 0, 0, 0, 0, -96, 0, 0, 0, -52, 0, 22, 0, 0, 16, -88, 0, 0, 0, 0, 0, 16, 0, 0, 96, 0, 6, 0, 0, 32, 6, 0, 0, 0, 0, 92, 56, 0, 0, 28, 0, 0, 0, 0, 28, 84, 0, 0, 0, 0, 20, -12, 0, 0, 12, 0, -50, 0, 0, -54, 44, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -248, 0, 0, 6, 114, 0, 0, 0, 0, 48, 12, 0, 0, -116, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 16, -72, 0, 0, 16, 0, 108, 0, 0, 0, -78, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, -16, 0, 0, -48, -120, 0, 0, 0, 0, 0, 40, 0, 0, -168, 0, 186, 0, 0, 8, 28, 0, 0, 0, 0, -48, 288, 0, 0, -96, 0, 0, 0, 0, 28, -42, 0, 0, 0, 0, 136, -24, 0, 0, 48, 0, 0, 0, 0, -180, 8, 0, 0, 0, 0, -10, -180, 0, 0, 0, 0, -116, 0, 0, -106, 72, 0, 0, 0, 0, -132, -16, 0, 0, 104, 0, 102, 0, 0, -48, 0, 0, 0, 0, 0, -80, -84, 0, 0, -16, 0, 78, 0, 0, 0, 8, 0, 0, 0, 0, -180, 0, 0, 0, 160, 0, 88, 0, 0, 190, -188, 0, 0, 0, 0, 0, -76, 0, 0, 24, 0, 132, 0, 0, 204, 42, 0, 0, 0, 0, 92, 104, 0, 0, 84, 0, 0, 0, 0, 22, 204, 0, 0, 0, 0, 116, 16, 0, 0, 252, 0, -26, 0, 0, 108, 44, 0, 0, 0, 0, -2, -72, 0, 0, 0, 0, -352, 0, 0, 124, 72, 0, 0, 0, 0, 54, -104, 0, 0, -104, 0, 6, 0, 0, -18, 0, 0, 0, 0, 0, 44, -96, 0, 0, -160, 0, -84, 0, 0, 0, -286, 0, 0, 0, 0, 24, 0, 0, 0, -48, 0, -16, 0, 0, -68, -12, 0, 0, 0, 0, 0, 128, 0, 0, -264, 0, 168, 0, 0, -4, -154, 0, 0, 0, 0, -76, 232, 0, 0, -28, 0, 0, 0, 0, -80, -84, 0, 0, 0, 0, 136, 28, 0, 0, -12, 0, -178, 0, 0, -144, 56, 0, 0, 0, 0, -24, 120, 0, 0, 0, 0, -56, 0, 0, -216, -84, 0, 0, 0, 0, -174, 128, 0, 0, 4, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -10, -264, 0, 0, 24, 0, 186, 0, 0, 0, 216, 0, 0, 0, 0, -54, 0, 0, 0, 72, 0, 154, 0, 0, 100, -160, 0, 0, 0, 0, 0, 176, 0, 0, 168, 0, 54, 0, 0, 176, 44, 0, 0, 0, 0, 192, 40, 0, 0, 36, 0, 0, 0, 0, 14, 282, 0, 0, 0, 0, 44, -212, 0, 0, 0, 0, -148, 0, 0, 330, 138, 0, 0, 0, 0, 52, -216, 0, 0, 0, 0, -432, 0, 0, 124, 384, 0, 0, 0, 0, 132, -168, 0, 0, -296, 0, 6, 0, 0, -72, 0, 0, 0, 0, 0, 64, -300, 0, 0, -80, 0, 216, 0, 0, 0, 28, 0, 0, 0, 0, -48, 0, 0, 0, 12, 0, -58, 0, 0, -178, -192, 0, 0, 0, 0, 0, 100, 0, 0, 72, 0, 252, 0, 0, 24, 86, 0, 0, 0, 0, -184, 312, 0, 0, -156, 0, 0, 0, 0, -148, -6, 0, 0, 0, 0, 76, 80, 0, 0, 372, 0, 128, 0, 0, -462, -190, 0, 0, 0, 0, 16, 204, 0, 0, 0, 0, -112, 0, 0, -160, -120, 0, 0, 0, 0, -360, -8, 0, 0, 164, 0, 112, 0, 0, -108, 0, 0, 0, 0, 0, -168, -96, 0, 0, -24, 0, -42, 0, 0, 0, 84, 0, 0, 0, 0, -204, 0, 0, 0, 20, 0, -8, 0, 0, 436, -200, 0, 0, 0, 0, 0, 64, 0, 0, 180, 0, 150, 0, 0, 432, -36, 0, 0, 0, 0, 110, 8, 0, 0, 144, 0, 0, 0, 0, -16, 252, 0, 0, 0, 0, 148, -12, 0, 0, 144, 0, -24, 0, 0, 264, 60, 0, 0, 0, 0, -44, -156, 0, 0, 0, 0, 80, 0, 0, 218, -354, 0, 0, 0, 0, 96, -64, 0, 0, -80, 0, 8, 0, 0, -6, 0, 0, 0, 0, 0, 100, 168, 0, 0, -128, 0, -162, 0, 0, 0, -248, 0, 0, 0, 0, 90, 0, 0, 0, -112, 0, -4, 0, 0, -384, -56, 0, 0, 0, 0, 0, 244, 0, 0, -600, 0, -228, 0, 0, 16, -52, 0, 0, 0, 0, -12, 336, 0, 0, -144, 0, 0, 0, 0, -128, -396, 0, 0, 0, 0, 136, -96, 0, 0, -432, 0, -182, 0, 0, 0, -136, 0, 0, 0, 0, -80, -216, 0, 0, 0, 0, -56, 0, 0, -172, 42, 0, 0, 0, 0, -96, 136, 0, 0, 364, 0, -168, 0, 0, -198, 0, 0, 0, 0, 0, -68, -264, 0, 0, 48, 0, 96, 0, 0, 0, 324, 0, 0, 0, 0, -36, 0, 0, 0, 136, 0, 154, 0, 0, 180, 24, 0, 0, 0, 0, 0, -376, 0, 0, 684, 0, 180, 0, 0, -176, 8, 0, 0, 0, 0, 172, 128, 0, 0, 304, 0, 0, 0, 0, 128, 384, 0, 0, 0, 0, 20, -68, 0, 0, 180, 0, -248, 0, 0, 384, 186, 0, 0, 0, 0, 116, 60, 0, 0, 0, 0, -60, 0, 0, 58, 468, 0, 0, 0, 0, 312, -108, 0, 0, -272, 0, -106, 0, 0, 240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 173670
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.t.a', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 173671
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.t.a', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 173672
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.t.b', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 173673
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.t.b', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 173674
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '210.2.t.c', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 173675
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '210.2.t.c', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 173676
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '210.2.t.d', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 173677
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '210.2.t.d', 'target_level': 210, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 173678
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.s.d', 'target_level': 1050, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 173679
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.s.d', 'target_level': 1050, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 173680
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.2.s.e', 'target_level': 1050, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 173681
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.2.s.e', 'target_level': 1050, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 173682
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.d.a', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 173683
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.d.a', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 173684
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.d.b', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 173685
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.d.b', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 173686
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.d.c', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 173687
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.d.c', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 173688
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1470.2.d.d', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 173689
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '210.2.t.b', 'source_level': 210, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1470.2.d.d', 'target_level': 1470, 'twist_class_label': '210.2.t.a', 'twist_class_level': 210, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 518075
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 2}
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id: 518076
{'charpoly_factorization': [[[9, 3, -2, 1, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 3}
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id: 518077
{'charpoly_factorization': [[[25, 15, 4, 3, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 5}
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id: 518078
{'charpoly_factorization': [[[7, -5, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 7}
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id: 518079
{'charpoly_factorization': [[[16, -36, 31, -9, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 11}
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id: 518080
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4504905330983122, 'p': 13}
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id: 518081
{'charpoly_factorization': [[[1936, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 17}
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id: 518082
{'charpoly_factorization': [[[12, 6, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 19}
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id: 518083
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 23}
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id: 518084
{'charpoly_factorization': [[[11, 0, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 29}
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id: 518085
{'charpoly_factorization': [[[324, 162, 9, -9, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 31}
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id: 518086
{'charpoly_factorization': [[[9216, 576, -84, -6, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 37}
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id: 518087
{'charpoly_factorization': [[[12, -9, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 41}
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id: 518088
{'charpoly_factorization': [[[144, 0, 123, 0, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 43}
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id: 518089
{'charpoly_factorization': [[[256, 288, 124, 18, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 47}
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id: 518090
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 53}
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id: 518091
{'charpoly_factorization': [[[2916, -486, 135, 9, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 59}
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id: 518092
{'charpoly_factorization': [[[1296, 972, 279, 27, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 61}
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id: 518093
{'charpoly_factorization': [[[324, -162, 9, 9, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 67}
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id: 518094
{'charpoly_factorization': [[[256, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 71}
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id: 518095
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 73}
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id: 518096
{'charpoly_factorization': [[[5476, -74, 75, 1, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 79}
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id: 518097
{'charpoly_factorization': [[[289, 0, 142, 0, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 83}
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id: 518098
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 4504905330983122, 'p': 89}
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id: 518099
{'charpoly_factorization': [[[-32, -13, 1], 2]], 'hecke_orbit_code': 4504905330983122, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 2, 'label': '210.2.t.b', 'level': 210, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 24678451
{'hecke_orbit_code': 4504905330983122, 'n': 1, 'trace_an': 4}
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id: 24678452
{'hecke_orbit_code': 4504905330983122, 'n': 2, 'trace_an': -2}
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id: 24678453
{'hecke_orbit_code': 4504905330983122, 'n': 3, 'trace_an': -1}
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id: 24678454
{'hecke_orbit_code': 4504905330983122, 'n': 4, 'trace_an': -2}
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id: 24678455
{'hecke_orbit_code': 4504905330983122, 'n': 5, 'trace_an': -3}
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id: 24678456
{'hecke_orbit_code': 4504905330983122, 'n': 6, 'trace_an': -1}
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id: 24678457
{'hecke_orbit_code': 4504905330983122, 'n': 7, 'trace_an': 10}
-
id: 24678458
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