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mf_newforms • Show schema
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{'Nk2': 1260, 'analytic_conductor': 2.5152876636703323, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [315, 3, [281, 127, 136], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 46, 'conrey_indexes': [46, 226], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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': [[2, [1, 2, 5, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015017018327355, 'hecke_ring_generator_nbound': 4, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '315.2.j.e', 'level': 315, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '35.2.e.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{2})q^{2}+(2\\beta _{1}+\\beta _{2}+2\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '315.2.j', 'trace_display': [2, 0, 2, 2], 'trace_hash': 2222086964183990111, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.898', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.685', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 0], [0, 2, 1, 2], [1, 0, 1, 0], [0, 0, 0, 0], [0, 1, -1, -1], [-3, 0, 0, 1], [0, 0, 0, 0], [0, 1, 1, 1], [0, 2, -2, 2], [0, 0, 0, 0], [-2, 0, 0, 2], [3, 2, 4, 0], [0, 0, 0, 0], [-3, 0, -3, 0], [0, -2, -2, -2], [0, 0, 0, 0], [0, -2, 0, 0], [-1, 0, 0, 2], [0, 0, 0, 0], [-2, 0, 0, 0], [-1, 1, -1, 0], [0, 0, 0, 0], [0, 0, 1, 0], [-6, -4, -6, 0], [0, 0, 0, 0], [-3, 3, 5, 2], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, -1, 3, -1], [0, 0, 0, 0], [6, 0, 0, -4], [1, 2, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, -4, -2], [0, 0, 0, 0], [-3, -1, -3, 0], [5, 0, 0, -2], [0, 0, 0, 0], [5, 0, 0, 1], [-6, 2, -6, 0], [0, 0, 0, 0], [0, 0, 1, 0], [2, 0, 2, 0], [0, 0, 0, 0], [5, -2, 5, -4], [-1, 0, 0, 1], [0, 0, 0, 0], [0, -6, -10, -6], [0, -2, 4, -2], [0, 0, 0, 0], [2, 0, 0, 2], [-4, -2, 1, 4], [0, 0, 0, 0], [1, 1, 1, 0], [0, -6, 4, -6], [0, 0, 0, 0], [3, -6, 3, 0], [6, 0, 0, -6], [0, 0, 0, 0], [-7, 0, 0, 2], [-2, -2, -2, 0], [0, 0, 0, 0], [0, -1, 11, -1], [10, 6, 10, 0], [0, 0, 0, 0], [-1, 2, 3, 2], [4, 0, 0, 6], [0, 0, 0, 0], [0, -2, 2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, -2], [-6, 0, 2, -4], [0, 0, 0, 0], [-12, -2, -12, 0], [0, 0, -3, 0], [0, 0, 0, 0], [9, 7, 9, 0], [-1, 0, 0, 9], [0, 0, 0, 0], [2, 0, 0, -2], [3, 4, 3, 0], [0, 0, 0, 0], [0, -4, 2, -4], [-3, -4, -3, 0], [0, 0, 0, 0], [-8, 0, -2, 4], [-3, 0, 0, -1], [0, 0, 0, 0], [0, 2, 2, 2], [0, -2, 0, -2], [0, 0, 0, 0], [6, 0, 0, -4], [8, 7, 9, 3], [0, 0, 0, 0], [-1, -2, -1, 0]], 'ap': [[1, 1, 1, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, 1, -1, -1], [0, 2, -2, 2], [-2, 0, 0, 2], [0, -2, -2, -2], [0, -2, 0, 0], [-1, 1, -1, 0], [1, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [5, 0, 0, -2], [5, 0, 0, 1], [2, 0, 2, 0], [0, -2, 4, -2], [0, -6, 4, -6], [3, -6, 3, 0], [0, -1, 11, -1], [4, 0, 0, 6], [0, -2, 2, -2], [-12, -2, -12, 0], [-1, 0, 0, 9], [-3, -4, -3, 0], [6, 0, 0, -4], [0, 8, -1, 8], [1, 1, 1, 0], [7, 3, 7, 0], [0, -6, -5, -6], [-4, 0, 0, -6], [2, 0, 0, 8], [-8, -8, -8, 0], [0, 4, 4, 4], [-2, 0, 0, 10], [-5, 2, -5, 0], [0, 4, 6, 4], [0, 8, 6, 8], [-18, 4, -18, 0], [-21, 0, 0, 1], [-8, 8, -8, 0], [0, 0, 10, 0], [-3, 0, 0, -4], [-10, -2, -10, 0], [0, 0, -2, 0], [18, 0, 0, 4], [0, -4, -4, -4], [12, 0, 0, -6], [6, 0, 0, 4], [0, 12, -10, 12], [6, 4, 6, 0], [-14, -2, -14, 0], [10, 0, 0, -8], [0, 4, 22, 4], [-2, 0, 0, -8], [12, -4, 12, 0], [0, 17, 5, 17], [0, -18, 5, -18], [-8, -6, -8, 0], [0, 10, 2, 10], [2, 0, 0, -20], [0, 0, 14, 0], [16, 0, 0, 0], [-9, 0, 0, -3], [0, -2, 16, -2], [12, -4, 12, 0], [6, -14, 6, 0], [-6, -12, -6, 0], [12, 0, 0, 2], [0, 5, -15, 5], [-21, 0, 0, -4], [0, 2, 24, 2], [-10, 0, -10, 0], [0, 3, -7, 3], [4, 12, 4, 0], [24, 0, 0, -2], [7, -7, 7, 0], [0, -4, -18, -4], [-6, 16, -6, 0], [19, 8, 19, 0], [0, -14, 5, -14], [12, 0, 0, 8], [5, 0, 0, -6], [0, -14, 2, -14], [-12, 0, 0, -14], [0, 24, 0, 0], [9, 15, 9, 0], [-1, 0, 0, 2], [4, -20, 4, 0], [-30, 0, 0, 8], [-13, 0, 0, 17], [-13, 7, -13, 0], [0, 4, 30, 4], [0, -4, 10, -4], [2, 0, 0, 8], [-2, 2, -2, 0], [-11, 0, 0, -19], [19, -4, 19, 0], [0, -12, 2, -12], [-30, -4, -30, 0], [-13, 4, -13, 0], [15, 0, 0, -7], [0, -20, 6, -20], [0, -9, -29, -9], [2, 4, 2, 0], [0, -2, 12, -2], [0, -24, -10, -24], [6, 0, 0, -20], [24, -14, 24, 0], [0, 4, -12, 4], [14, 0, 0, -4], [-17, -15, -17, 0], [0, 18, 10, 18], [0, 0, 0, 8], [0, -6, 34, -6], [-6, 0, 0, 10], [0, -6, -23, -6], [-2, 0, 0, -20], [0, 17, 7, 17], [-22, 2, -22, 0], [-24, 0, 0, -2], [0, 2, 29, 2], [24, 0, 0, -4], [-14, -10, -14, 0], [0, -3, 39, -3], [2, -2, 2, 0], [23, 0, 0, 14], [-27, 8, -27, 0], [-10, 22, -10, 0], [-39, 0, 0, -1], [22, 0, 22, 0], [0, -22, 10, -22], [9, 0, 0, -5], [36, -4, 36, 0], [-6, 0, 0, 18], [-2, 8, -2, 0], [22, 0, 0, 16], [0, 22, 6, 22], [0, 11, -13, 11], [8, 0, 0, 0], [0, -16, -13, -16], [2, 0, 0, 16], [14, 24, 14, 0], [0, 5, -5, 5], [5, 0, 0, -15], [0, 8, 18, 8], [-18, 0, 0, -2], [28, 0, 0, 18], [0, -20, -6, -20], [-24, 16, -24, 0], [-1, 11, -1, 0], [-28, 2, -28, 0], [1, 0, 0, 2], [-10, 0, 0, -20], [37, -5, 37, 0], [0, -15, 7, -15], [30, 0, 0, 14], [12, 22, 12, 0], [-3, 6, -3, 0], [12, 0, 0, -16], [0, 20, 18, 20], [-5, 27, -5, 0], [8, 0, 0, -4], [5, 0, 0, -23], [-24, 0, -24, 0], [0, 8, -10, 8], [0, -15, -7, -15], [0, 4, -10, 4], [0, 18, 8, 18]], 'char_orbit_index': 10, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 18015017018327355, 'hecke_ring_character_values': [[281, [1, 0, 0, 0]], [127, [1, 0, 0, 0]], [136, [-1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '315.2.j.e', 'level': 315, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1260, 'analytic_conductor': 2.5152876636703323, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [315, 3, [281, 127, 136], [3, 3, 2]], 'conrey_index': 46, 'cusp_dim': 80, 'dim': 28, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845371, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6], 'label': '315.2.j', 'level': 315, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 112, 'mf_new_dim': 28, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 96, 'trace_bound': 2, 'trace_display': [-2, 0, 2, 6], 'traces': [28, -2, 0, -18, 2, 0, 6, 12, 0, -2, 0, 0, 16, 8, 0, -22, 12, 0, -4, -20, 0, 24, -10, 0, -14, -4, 0, -14, 12, 0, 8, -14, 0, -40, -4, 0, -12, -24, 0, -6, 12, 0, -36, -16, 0, 22, 12, 0, -10, 4, 0, -28, 8, 0, 24, 18, 0, 10, -12, 0, 46, 0, 0, 116, 8, 0, 22, 8, 0, 14, -16, 0, -32, 4, 0, -48, -72, 0, -4, 22, 0, 2, -12, 0, 8, -14, 0, -76, -22, 0, -24, 76, 0, 36, 0, 0, -24, 14, 0, -18, -30, 0, -18, 128, 0, -16, 66, 0, 30, 0, 0, 12, -8, 0, -6, -38, 0, 176, 48, 0, -22, 62, 0, 52, -4, 0, -48, -58, 0, 12, 0, 0, -44, -164, 0, 36, -20, 0, -16, -46, 0, -96, 4, 0, 2, 48, 0, -16, -30, 0, 28, 4, 0, -172, 8, 0, -52, 48, 0, 68, -36, 0, 36, -70, 0, -6, -116, 0, -52, 28, 0, 6, 44, 0, -6, -56, 0, 126, 24, 0, -100, -140, 0, 42, 32, 0, 24, -8, 0, -96, -16, 0, 24, -8, 0, 92, 112, 0, -32, -6, 0, 196, 86, 0, 18, 46, 0, -100, 64, 0, -64, 96, 0, -34, 26, 0, 68, 100, 0, -44, 28, 0, 88, 146, 0, 72, 68, 0, 32, -68, 0, -60, -44, 0, -4, 20, 0, 52, -56, 0, 36, -38, 0, -108, -26, 0, 44, -64, 0, -2, 56, 0, 56, -60, 0, -54, -40, 0, 4, 48, 0, -32, -14, 0, 0, 76, 0, 106, -82, 0, 16, -248, 0, -16, 0, 0, 56, -84, 0, 108, 64, 0, 40, 68, 0, -112, -66, 0, 38, 42, 0, -180, 40, 0, 16, 4, 0, -46, -16, 0, 2, -32, 0, 136, -22, 0, 4, 36, 0, -44, -40, 0, -28, 88, 0, -16, 60, 0, -44, 2, 0, 178, -184, 0, -8, -52, 0, -444, 96, 0, -80, 198, 0, -158, -52, 0, 24, 50, 0, -12, -52, 0, -108, -44, 0, -16, -50, 0, 92, -22, 0, -100, -56, 0, -24, -44, 0, -120, -112, 0, -34, 74, 0, 84, -24, 0, -22, -22, 0, 16, -40, 0, -52, -108, 0, 52, -48, 0, 216, 56, 0, 76, 38, 0, -20, -32, 0, -68, 76, 0, 216, -234, 0, 76, 40, 0, 152, 216, 0, 44, 22, 0, 4, -106, 0, -148, 176, 0, 90, -14, 0, 156, 60, 0, -42, -36, 0, 304, 248, 0, -20, 124, 0, 32, 12, 0, -108, -100, 0, -30, 68, 0, -120, 132, 0, 130, 68, 0, 48, -24, 0, -240, -58, 0, 62, 92, 0, -158, -76, 0, 28, -32, 0, -248, -16, 0, -28, -80, 0, 50, 24, 0, 180, -86, 0, 84, 34, 0, -110, 72, 0, -280, 4, 0, 8, 212, 0, 12, -112, 0, -68, -160, 0, 212, 48, 0, -48, -90, 0, 12, 96, 0, -68, -20, 0, 184, -128, 0, 24, 10, 0, -116, -4, 0, -60, -64, 0, 220, 34, 0, 84, 236, 0, 16, -34, 0, 160, -76, 0, -20, -44, 0, 8, -16, 0, -12, 32, 0, -68, -40, 0, 424, -160, 0, -38, 122, 0, 76, 88, 0, 18, 132, 0, 124, -28, 0, 28, -12, 0, -12, -32, 0, 68, -96, 0, -44, -44, 0, -160, -102, 0, 44, 6, 0, -24, -192, 0, 160, -16, 0, -188, 76, 0, -156, 20, 0, 64, 110, 0, -180, -94, 0, 8, -144, 0, -72, -224, 0, -248, 36, 0, 120, 80, 0, 60, -220, 0, 188, -52, 0, -208, -108, 0, 148, 34, 0, -190, 192, 0, -92, 40, 0, 108, 66, 0, -52, 120, 0, -128, -12, 0, 32, 200, 0, -14, 68, 0, -124, 32, 0, 8, 148, 0, -68, 40, 0, -136, 208, 0, 42, 62, 0, -448, 106, 0, -96, 58, 0, -96, 8, 0, 88, -88, 0, -24, 50, 0, 140, -64, 0, -118, 8, 0, -268, -20, 0, -178, -90, 0, 62, -112, 0, 184, -136, 0, -22, -84, 0, 28, 104, 0, -256, -82, 0, -16, 74, 0, -150, -64, 0, 32, -288, 0, 132, 4, 0, -60, -138, 0, 28, 60, 0, 12, 84, 0, 560, -142, 0, 26, -12, 0, 306, -40, 0, 192, -60, 0, -244, -44, 0, 208, -68, 0, 182, -6, 0, -20, 48, 0, -36, 12, 0, 96, 132, 0, 164, 24, 0, 56, -28, 0, -80, -28, 0, 2, -152, 0, -16, 80, 0, 164, 76, 0, 76, -56, 0, -248, 52, 0, 176, -24, 0, 22, 120, 0, -10, 60, 0, 256, -96, 0, 4, 88, 0, 8, 152, 0, 8, -16, 0, 56, 56, 0, -338, -56, 0, -38, 32, 0, 288, -124, 0, 28, 32, 0, -200, 56, 0, 64, -14, 0, -198, 40, 0, -6, -144, 0, -54, 34, 0, -216, 10, 0, -8, 60, 0, -4, 148, 0, -196, 48, 0, 90, 98, 0, -440, 164, 0, 104, -18, 0, 328, 124, 0, 78, 12, 0, 96, 64, 0, -184, 66, 0, 80, 22, 0, 384, -208, 0, 20, -48, 0, 264, 130, 0, -70, 72, 0, 72, -60, 0, 120, 14, 0, 0, -40, 0, 64, 32, 0, 48, -138, 0, 368, 2, 0, -32, -140, 0, -108, 60, 0, 224, -68, 0, -174, 10, 0, 32, 116, 0, 172, -88, 0, -72, -68, 0, -50, -32, 0, 72, 80, 0, -496, 10, 0, -34, -152, 0, 52, 184, 0, -20, 120, 0, -536, -88, 0, -28, 22, 0, -284, 128, 0, 24, -158, 0, -46, -98, 0, 312, -152, 0, 222, 20, 0, -88, -170, 0, -36, -136, 0, -266, 16, 0, 168, 46, 0, -100, -24, 0, -84, -96, 0, 4, -36, 0, -760, 20, 0, -18, 52, 0, -172, 8, 0, -36, 50, 0, -52, -132, 0, -240, -72, 0, 26, -48, 0, -88, -10, 0, -84, 90, 0, -20, 64, 0, -304, 18, 0, 64, 92, 0, 208, -64, 0, 156, 16, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 239681
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 239682
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 239683
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 239684
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 239685
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 239686
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 239687
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '245.2.a.g', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 239688
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '245.2.a.h', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 239689
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 239690
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 239691
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 239692
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 239693
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 239694
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 239695
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1225.2.a.k', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 239696
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1225.2.a.m', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 239697
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1225.2.b.g', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 239698
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1225.2.b.h', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 239699
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2205.2.a.n', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 239700
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2205.2.a.q', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 239701
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '3920.2.a.bq', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 239702
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '315.2.j.e', 'source_level': 315, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '3920.2.a.bv', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 691650
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 2}
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id: 691651
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018327355, 'p': 3}
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id: 691652
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 5}
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id: 691653
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 7}
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id: 691654
{'charpoly_factorization': [[[16, 16, 20, -4, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 11}
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id: 691655
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 13}
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id: 691656
{'charpoly_factorization': [[[16, 16, 20, -4, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 17}
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id: 691657
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 19}
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id: 691658
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 23}
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id: 691659
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 18015017018327355, 'p': 29}
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id: 691660
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 31}
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id: 691661
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018327355, 'p': 37}
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id: 691662
{'charpoly_factorization': [[[17, -10, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 41}
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id: 691663
{'charpoly_factorization': [[[23, -10, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 43}
-
id: 691664
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 47}
-
id: 691665
{'charpoly_factorization': [[[64, 64, 56, 8, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 53}
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id: 691666
{'charpoly_factorization': [[[3136, -448, 120, 8, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 59}
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id: 691667
{'charpoly_factorization': [[[3969, 378, 99, -6, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 61}
-
id: 691668
{'charpoly_factorization': [[[14161, 2618, 365, 22, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 67}
-
id: 691669
{'charpoly_factorization': [[[-56, -8, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 71}
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id: 691670
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 73}
-
id: 691671
{'charpoly_factorization': [[[18496, 3264, 440, 24, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 79}
-
id: 691672
{'charpoly_factorization': [[[-161, 2, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 83}
-
id: 691673
{'charpoly_factorization': [[[529, -138, 59, 6, 1], 1]], 'hecke_orbit_code': 18015017018327355, 'p': 89}
-
id: 691674
{'charpoly_factorization': [[[4, -12, 1], 2]], 'hecke_orbit_code': 18015017018327355, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 5, 'label': '315.2.j.e', 'level': 315, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 159929000
{'hecke_orbit_code': 18015017018327355, 'n': 1, 'trace_an': 4}
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id: 159929001
{'hecke_orbit_code': 18015017018327355, 'n': 2, 'trace_an': 2}
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id: 159929002
{'hecke_orbit_code': 18015017018327355, 'n': 3, 'trace_an': 0}
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id: 159929003
{'hecke_orbit_code': 18015017018327355, 'n': 4, 'trace_an': -2}
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id: 159929004
{'hecke_orbit_code': 18015017018327355, 'n': 5, 'trace_an': 2}
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id: 159929005
{'hecke_orbit_code': 18015017018327355, 'n': 6, 'trace_an': 0}
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id: 159929006
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