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mf_newforms • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [650, 4, [27, 301], [1, 1]], 'cm_discs': [], 'conrey_index': 307, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -2, 2, 2, 1]], [7, [1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022216273068682, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 6, 1, 4, 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': False, 'label': '650.2.j.g', 'level': 650, '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': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '130.2.g.e', 'nf_label': '4.0.144.1', 'prim_orbit_index': 6, 'qexp_display': 'q+\\beta_{2} q^{2}-\\beta_1 q^{3}-q^{4}+(\\beta_{3}-\\beta_{2}+1)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '650.2.j', 'trace_display': [0, -2, 0, -4], 'trace_hash': 1615652724659456988, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.880', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.861', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 1, 0], [0, -1, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, -1, 1], [-1, 0, 0, 0], [0, 0, -1, 0], [-1, 1, -1, -1], [0, 0, 0, 0], [-3, 2, -3, 0], [0, 1, 0, 0], [-1, 2, 0, -2], [0, 0, -1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [-4, 3, -4, 0], [1, -1, 1, -1], [2, -4, 2, 0], [0, 0, 0, 0], [0, 1, 0, 0], [1, 0, -1, -2], [-3, 0, 3, -2], [-1, 0, 1, -1], [0, 0, 0, 0], [0, -2, 3, -2], [-2, 0, 2, -3], [1, 0, 0, 0], [-1, 1, 5, -1], [0, 0, 0, 0], [-5, 0, 5, 0], [0, 0, 1, 0], [-1, 1, -1, -1], [1, 0, -1, -3], [0, 0, 0, 0], [1, -1, 1, 1], [1, 2, -2, 2], [2, 0, -2, 4], [4, -1, -4, 2], [0, 0, 0, 0], [-2, 0, 2, -6], [-1, 0, 1, -1], [-4, 0, 4, -9], [3, -2, 3, 0], [0, 0, 0, 0], [-1, -2, -1, 0], [2, 1, -1, 1], [0, -1, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [-1, 1, -2, -1], [1, -2, 0, 2], [-3, -4, -3, 0], [1, -3, 1, 0], [0, 0, 0, 0], [0, 0, 1, 0], [-2, 2, 6, -2], [-5, -1, 1, -1], [4, 0, -4, 2], [0, 0, 0, 0], [2, 4, -4, 4], [-5, 0, -5, 0], [1, -1, 1, 1], [-1, 0, 0, 0], [0, 0, 0, 0], [1, -1, 1, -1], [1, -1, 9, 1], [4, -3, 4, 0], [5, 3, -3, 3], [0, 0, 0, 0], [-1, 0, 1, -7], [-1, 1, -1, 1], [0, 0, 0, 0], [-2, 2, 1, -2], [0, 0, 0, 0], [-2, 4, -2, 0], [3, -2, 3, 0], [3, 2, 1, 1], [3, -3, -5, 3], [0, 0, 0, 0], [2, 5, -5, 5], [4, -6, 4, 0], [-3, -3, 3, -3], [0, -1, 0, 0], [0, 0, 0, 0], [5, -9, 5, 0], [7, 0, -7, 6], [-1, 0, 1, 2], [-8, 0, 8, -6], [0, 0, 0, 0], [1, -2, 0, 2], [3, 0, -3, 2], [5, 5, -5, 5], [-1, 1, 2, -1], [0, 0, 0, 0], [1, 0, -1, 1], [3, -3, -5, 3], [0, 0, -6, 0], [-2, 0, 2, 6], [0, 0, 0, 0]], 'ap': [[0, 0, 1, 0], [0, -1, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [-3, 2, -3, 0], [-1, 2, 0, -2], [-4, 3, -4, 0], [2, -4, 2, 0], [-3, 0, 3, -2], [-1, 1, 5, -1], [-5, 0, 5, 0], [1, 2, -2, 2], [-2, 0, 2, -6], [-4, 0, 4, -9], [2, 1, -1, 1], [-3, -4, -3, 0], [4, 0, -4, 2], [2, 4, -4, 4], [1, -1, 9, 1], [-1, 0, 1, -7], [0, 0, 0, 0], [3, -3, -5, 3], [-3, -3, 3, -3], [-8, 0, 8, -6], [3, -3, -5, 3], [-4, 4, 6, -4], [9, 0, -9, 10], [5, 0, -5, 0], [2, 1, 2, 0], [3, 6, 3, 0], [-7, -4, -7, 0], [-9, 2, -2, 2], [3, -5, 5, -5], [1, -1, -8, 1], [-7, 10, -7, 0], [9, 3, 9, 0], [10, 0, -10, -4], [1, -1, -1, 1], [-10, -2, 2, -2], [1, 0, -1, 2], [-11, 6, -6, 6], [3, -3, 1, 3], [1, -7, 7, -7], [-1, 1, 13, -1], [-5, 5, 12, -5], [9, -9, 9, -9], [12, 1, -1, 1], [-6, -7, 7, -7], [0, 0, 6, 0], [-6, 0, 6, 3], [2, 0, -2, -9], [11, -15, 11, 0], [-12, -4, -12, 0], [-4, 4, -6, -4], [-15, 3, -15, 0], [18, -6, 18, 0], [0, 0, -20, 0], [12, -21, 12, 0], [0, -4, 0, 0], [-2, 10, -2, 0], [-5, 0, 5, -10], [8, -8, 11, 8], [2, -6, 6, -6], [0, 0, -10, 0], [-17, -5, -17, 0], [-16, 16, 4, -16], [9, 0, -9, 0], [1, -1, 1, 0], [6, 0, -6, 1], [5, 0, -5, -11], [7, -13, 13, -13], [-13, 0, 13, -24], [-7, 0, 7, 10], [-8, 0, -8, 0], [19, 0, 19, 0], [9, 2, -2, 2], [10, -2, 2, -2], [22, 4, -4, 4], [-11, 6, -11, 0], [9, 6, 9, 0], [-1, 1, 14, -1], [12, 0, -12, -3], [0, 0, 0, 9], [1, 0, -1, -1], [2, 10, -10, 10], [-9, 25, -9, 0], [-5, 0, 5, -12], [0, 0, 14, 0], [-1, 0, 1, 3], [2, -2, 10, 2], [-13, 16, -13, 0], [15, 0, -15, 23], [-8, 8, -2, -8], [-7, 7, 26, -7], [-10, 18, -10, 0], [2, 2, 2, 0], [5, 10, 5, 0], [-17, -6, 6, -6], [17, -4, 17, 0], [3, -21, 3, 0], [-12, 0, 12, 1], [-14, -11, 11, -11], [8, 0, -8, 15], [-29, -4, 4, -4], [-8, 8, -25, -8], [6, -6, 2, 6], [5, -5, -3, 5], [1, -1, 13, 1], [-12, 12, 4, -12], [32, 1, -1, 1], [-16, 0, 16, -14], [-4, 12, -12, 12], [12, -12, -16, 12], [8, 0, -8, 28], [-7, 3, -7, 0], [2, -2, -36, 2], [-5, 5, -5, 5], [22, -16, 22, 0], [0, 6, 0, 0], [-6, 6, 10, -6], [-1, 16, -1, 0], [2, 0, -2, 3], [17, 0, -17, 38], [-13, 13, 9, -13], [-6, 0, 6, -24], [-15, 15, 15, -15], [-13, 0, 13, -14], [9, -19, 19, -19], [5, -2, 5, 0], [-5, 6, -6, 6], [14, 0, -14, 20], [-9, 22, -22, 22], [14, -14, 2, 14], [3, 0, -3, -16], [14, 6, 14, 0], [18, -26, 18, 0], [12, -21, 21, -21], [6, 18, -18, 18], [-30, -4, -30, 0], [-6, 6, -15, -6], [-26, 0, 26, -14], [2, 0, -2, -13], [18, 0, -18, 0], [-34, 12, -12, 12], [15, -7, 7, -7], [-3, 0, 3, 20], [-5, 5, -4, -5], [11, -6, 11, 0], [-22, 22, 8, -22], [-26, -15, 15, -15], [-17, 17, -6, -17], [-15, 15, 8, -15], [-9, 0, 9, -7], [2, 0, -2, 20], [-20, 29, -20, 0], [21, 15, -15, 15], [-22, 22, -2, -22], [-6, -10, -6, 0], [3, 0, -3, 6], [18, 0, -18, 13], [-17, -25, 25, -25], [-2, 0, 2, -33], [-23, 23, -6, -23], [0, 13, -13, 13], [5, -5, 17, 5], [-1, 1, 0, -1], [16, -4, 4, -4], [-9, 0, 9, 8]], 'char_orbit_index': 10, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 27022216273068682, 'hecke_ring_character_values': [[27, [0, 0, -1, 0]], [301, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [0, 1, 0, -1], [0, 0, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '650.2.j.g', 'level': 650, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [650, 4, [27, 301], [1, 1]], 'conrey_index': 307, 'cusp_dim': 186, 'dim': 42, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 618508845706, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 12, 12], 'label': '650.2.j', 'level': 650, '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': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 234, 'mf_new_dim': 42, 'num_forms': 9, 'prim_orbit_index': 6, 'relative_dim': 21, 'sturm_bound': 210, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [42, 0, 0, -42, 0, 0, 0, 0, 0, 0, 24, 0, 14, 0, 0, 42, 2, 26, 16, 0, -8, 0, -24, 0, 0, 0, 12, 0, 0, 0, 8, 0, 0, 26, 0, 0, -32, 0, 0, 0, 14, 12, 24, -24, 0, 24, 64, 0, 90, 0, 0, -14, -30, 0, 0, 0, 0, -28, 40, 0, 0, -12, 0, -42, 0, -64, 0, -2, -64, 0, 0, -26, 0, 0, 0, -16, -8, 32, 0, 0, -106, 34, 8, 8, 0, 0, 16, 0, -18, 0, 24, 24, -32, 0, 0, 0, 0, 0, -88, 0, 0, -24, 0, 0, 0, 18, 20, -12, -46, 0, -56, 0, -14, 32, 0, 0, -68, 32, 16, 0, 0, 0, 24, -8, 0, 0, -72, 0, 48, 0, -16, 0, -8, 16, 0, -26, -36, 0, 0, 0, 0, 24, -48, 0, 0, -4, 44, 32, -10, 0, -40, 0, 18, 64, 0, 0, 26, 48, 0, 0, 64, 0, 0, -14, 0, 0, -64, -12, 98, 0, -120, -24, 30, -64, 0, 24, 72, -6, 48, 0, 0, -32, -80, -24, 0, 0, 0, -64, 32, 0, -128, 0, 0, 16, 0, -90, 0, -80, 64, 0, -104, -96, 0, 0, 0, -24, -56, 14, 0, 0, 0, 30, 40, 64, 0, 0, -32, -54, 232, 0, -22, 68, -16, 0, 0, -98, 0, 0, -106, 0, 0, 28, 54, 10, 0, -40, 96, -68, -176, 0, 6, 26, -4, 0, 0, 0, 24, 12, -144, 0, 0, 0, 96, 0, 0, 42, -62, 0, -80, 0, 196, 0, 56, 64, 0, 184, 56, 0, 0, 0, 32, 2, -12, 0, 0, 64, -42, 80, -96, 0, 22, 12, 4, 0, 0, -64, 0, 26, 0, 0, 40, 0, 0, -64, 0, 0, -8, -46, -16, 0, 200, -48, 136, 16, 0, 258, 32, 8, 176, 0, 0, -32, -94, -26, 0, 0, 0, -112, -144, 0, 384, 8, 0, 106, 0, -120, 0, -34, -120, 0, -24, -8, 0, 0, 0, -8, 86, 120, 0, 0, 104, 80, 48, 0, 0, 90, 80, -16, -174, 0, 240, 0, 48, 0, 0, 18, 0, 0, 40, 0, 0, 84, -8, -24, 0, -176, 48, -24, -90, 0, -248, 32, 10, 184, 0, 0, -48, 132, 96, 0, 0, 0, -80, 0, 0, -16, 52, 0, -204, 0, 64, 0, 28, 0, 0, 88, -24, 0, 0, 0, -42, 0, -68, 0, 0, 40, 0, 24, 126, 0, -32, 0, -8, -104, 0, 0, -52, 32, 0, 0, 138, 0, 0, -18, 0, 0, -112, -20, -80, 0, 144, 12, 70, 80, 0, 46, -16, -48, -32, 0, 0, -46, -16, 56, 0, 0, 0, 0, 210, 0, -208, 14, 0, 112, 0, -32, 0, -30, -224, 0, -86, -200, 0, 0, 0, -6, -100, 68, 0, 0, -320, -32, -240, -48, 0, -16, -58, -32, 40, 0, -72, 110, -248, 0, 0, -160, 0, 0, 440, 0, 0, -24, 12, -24, 0, 8, 52, -120, 224, 0, 80, 8, 120, 0, 0, 0, 80, 72, -110, 0, 0, 0, 224, -62, 0, -48, 8, 0, 32, 0, 40, 0, 92, 16, 0, 56, 208, 0, 0, 0, 72, 8, -66, 0, 0, -16, -204, 80, 96, 0, -250, -32, 120, 26, 0, 16, -128, 36, 0, 0, -120, 0, 0, -138, 0, 0, 0, -68, 72, 0, 48, -74, 48, 0, 0, 8, 48, -24, -176, 0, 0, 48, -88, -120, 0, 0, 0, -158, -136, 0, -280, 72, 0, 4, 0, -84, 0, -44, -16, 0, -240, -32, 0, 0, 0, 10, 72, 72, 0, 0, -92, 36, -232, 40, 0, -112, -128, 0, -224, 0, 8, -18, -92, 0, 0, -64, 0, 0, 48, 0, 0, 8, 88, 0, 0, -46, -32, -26, 344, 0, -184, -48, -44, -260, 0, 0, 78, 120, 320, 0, 0, 0, 168, -64, 0, 0, 112, 0, -24, 0, 200, 0, 14, 8, 0, 14, 52, 0, 0, 0, 154, -16, -80, 0, 0, 392, 72, 64, 0, 0, 320, 12, 42, -34, 0, -98, -110, 144, 0, 0, 40, 0, 0, 120, 0, 0, 32, 24, 138, 0, -80, -30, -32, -104, 0, 64, -204, 110, -136, 0, 0, -12, -56, -24, 0, 0, 0, -72, 134, 0, 96, 6, 0, -440, 0, -48, 0, -100, -64, 0, -232, -86, 0, 0, 0, -280, -96, 32, 0, 0, -328, 80, -124, -168, 0, 24, 232, 54, 120, 0, -192, 16, -112, 0, 0, 130, 0, 0, -128, 0, 0, 64, 0, -172, 0, -32, 30, -152, -40, 0, -326, -128, -108, 128, 0, 0, 80, 0, 58, 0, 0, 0, -32, -8, 0, -16, 60, 0, 592, 0, 160, 0, 96, 90, 0, 64, 208, 0, 0, 0, 208, 80, -56, 0, 0, -64, -174, 112, -384, 0, -146, 6, -64, 104, 0, 48, -248, 96, 0, 0, 208, 0, 0, 240, 0, 0, 344, 14, 128, 0, -258, -80, 112, 24, 0, 200, -64, 56, -112, 0, 0, -14, -18, 112, 0, 0, 0, -112, -160, 0, 146, 46, 0, 0, 0, -456, 0, -30, 944, 0, 264, -40, 0, 0, 0, -64, -90, 88, 0, 0, -192, 0, 48, 0, 0, 26, -252, 32, 40, 0, -216, 54, 128, 0, 0, -232, 0, 0, -312, 0, 0, 90, -136, 22, 0, -64, -168, -68, -136, 0, 0, 16, -8, -192, 0, 0, 136, 126, -280, 0, 0, 0, 288, 98, 0, 280, 56, 0, -176, 0, 256, 0, -48, 176, 0, 106, 200, 0, 0, 0, -96, 86, -232, 0, 0, 448, -32, -28, -230, 0, 296, -54, 120, 80, 0, -10, 18, 8, 0, 0, -106, 0, 0, 40, 0, 0, -264, -96, -152, 0, 448, 68, -6, 130, 0, 176, -128, -64, 0, 0, 0, 40, 12, -6, 0, 0, 0, -26, -176, 0, 576, 4, 0, 168, 0, 0, 0, -40, 0, 0, 86, 32, 0, 0, 0, -84, 12, -24, 0, 0, 560, -12, -208, 128, 0, 144, 74, -56, -408, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 434867
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '130.2.g.e', 'target_level': 130, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 434868
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '130.2.g.e', 'target_level': 130, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 434869
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '130.2.j.e', 'target_level': 130, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 434870
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '130.2.j.e', 'target_level': 130, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 434871
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '650.2.g.f', 'target_level': 650, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 434872
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '650.2.g.f', 'target_level': 650, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 434873
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '650.2.j.g', 'target_level': 650, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 434874
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '650.2.j.g', 'target_level': 650, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 434875
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1040.2.bg.i', 'target_level': 1040, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434876
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1040.2.bg.i', 'target_level': 1040, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 434877
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 56, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1040.2.cd.k', 'target_level': 1040, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 434878
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 56, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1040.2.cd.k', 'target_level': 1040, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '260.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 434879
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.m.d', 'target_level': 1170, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 434880
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.m.d', 'target_level': 1170, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 434881
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.w.d', 'target_level': 1170, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 434882
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '650.2.j.g', 'source_level': 650, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.w.d', 'target_level': 1170, 'twist_class_label': '130.2.g.e', 'twist_class_level': 130, 'twisting_char_label': '195.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1165375
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 2}
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id: 1165376
{'charpoly_factorization': [[[1, -2, 2, 2, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 3}
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id: 1165377
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022216273068682, 'p': 5}
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id: 1165378
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 27022216273068682, 'p': 7}
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id: 1165379
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 11}
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id: 1165380
{'charpoly_factorization': [[[13, -2, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 13}
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id: 1165381
{'charpoly_factorization': [[[1, -10, 50, 10, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 17}
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id: 1165382
{'charpoly_factorization': [[[576, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 19}
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id: 1165383
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 23}
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id: 1165384
{'charpoly_factorization': [[[484, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 29}
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id: 1165385
{'charpoly_factorization': [[[50, 10, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 31}
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id: 1165386
{'charpoly_factorization': [[[-11, -2, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 37}
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id: 1165387
{'charpoly_factorization': [[[2704, 208, 8, -4, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 41}
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id: 1165388
{'charpoly_factorization': [[[14641, 242, 2, -2, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 43}
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id: 1165389
{'charpoly_factorization': [[[1, -4, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 47}
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id: 1165390
{'charpoly_factorization': [[[676, 520, 200, 20, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 53}
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id: 1165391
{'charpoly_factorization': [[[144, -144, 72, -12, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 59}
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id: 1165392
{'charpoly_factorization': [[[-44, -4, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 61}
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id: 1165393
{'charpoly_factorization': [[[6084, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 67}
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id: 1165394
{'charpoly_factorization': [[[3721, 610, 50, -10, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 71}
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id: 1165395
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022216273068682, 'p': 73}
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id: 1165396
{'charpoly_factorization': [[[4, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 79}
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id: 1165397
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 27022216273068682, 'p': 83}
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id: 1165398
{'charpoly_factorization': [[[16, -80, 200, 20, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 89}
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id: 1165399
{'charpoly_factorization': [[[4, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 27022216273068682, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 7, 'label': '650.2.j.g', 'level': 650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47534929
{'hecke_orbit_code': 27022216273068682, 'n': 1, 'trace_an': 4}
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id: 47534930
{'hecke_orbit_code': 27022216273068682, 'n': 2, 'trace_an': 0}
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id: 47534931
{'hecke_orbit_code': 27022216273068682, 'n': 3, 'trace_an': -2}
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id: 47534932
{'hecke_orbit_code': 27022216273068682, 'n': 4, 'trace_an': -4}
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id: 47534933
{'hecke_orbit_code': 27022216273068682, 'n': 5, 'trace_an': 0}
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id: 47534934
{'hecke_orbit_code': 27022216273068682, 'n': 6, 'trace_an': 2}
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id: 47534935
{'hecke_orbit_code': 27022216273068682, 'n': 7, 'trace_an': -4}
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id: 47534936
{'hecke_orbit_code': 27022216273068682, 'n': 8, 'trace_an': 0}
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id: 47534937
{'hecke_orbit_code': 27022216273068682, 'n': 9, 'trace_an': 0}
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id: 47534938
{'hecke_orbit_code': 27022216273068682, 'n': 10, 'trace_an': 0}
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id: 47534939
{'hecke_orbit_code': 27022216273068682, 'n': 11, 'trace_an': -8}
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id: 47534940
{'hecke_orbit_code': 27022216273068682, 'n': 12, 'trace_an': 2}
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id: 47534941
{'hecke_orbit_code': 27022216273068682, 'n': 13, 'trace_an': 4}
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id: 47534942
{'hecke_orbit_code': 27022216273068682, 'n': 14, 'trace_an': 0}
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id: 47534943
{'hecke_orbit_code': 27022216273068682, 'n': 15, 'trace_an': 0}
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id: 47534944
{'hecke_orbit_code': 27022216273068682, 'n': 16, 'trace_an': 4}
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id: 47534945
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