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mf_newforms • Show schema
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{'Nk2': 2040, 'analytic_conductor': 4.0723705030853, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 255, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [510, 8, [341, 307, 241], [4, 2, 7]], 'cm_discs': [], 'conrey_index': 257, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [2, -4, 18, 8, 1]], [11, [162, 108, 54, 12, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505111489413630, 'hecke_ring_generator_nbound': 5, '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, 255, 27, 1, 8, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '510.2.w.b', 'level': 510, '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, 17], 'level_radical': 510, 'minimal_twist': '510.2.w.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 27, 'qexp_display': 'q+q^{2}+(-1+\\zeta_{8}+\\zeta_{8}^{2})q^{3}+q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '510.2.w', 'trace_display': [4, -4, -8, -8], 'trace_hash': 653613566088883427, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.902', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '45.885', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 0, 0, 0], [-1, 1, 1, 0], [1, 0, 0, 0], [-2, 0, -1, 0], [-1, 1, 1, 0], [-2, -2, -1, 1], [1, 0, 0, 0], [0, -2, -1, 2], [-2, 0, -1, 0], [-3, 0, 0, -3], [-1, 1, 1, 0], [-3, 0, 3, 2], [-2, -2, -1, 1], [3, -2, -1, -1], [1, 0, 0, 0], [-3, -2, 0, -2], [0, -2, -1, 2], [-1, 6, -1, 0], [-2, 0, -1, 0], [2, -1, -3, -4], [-3, 0, 0, -3], [-2, 2, 1, 1], [-1, 1, 1, 0], [3, 0, 4, 0], [-3, 0, 3, 2], [-1, 0, -1, -5], [-2, -2, -1, 1], [-2, 2, -1, -1], [3, -2, -1, -1], [0, 0, -1, 1], [1, 0, 0, 0], [6, 0, -3, 3], [-3, -2, 0, -2], [3, 5, 4, 0], [0, -2, -1, 2], [2, -1, 1, -2], [-1, 6, -1, 0], [-2, -5, -6, 1], [-2, 0, -1, 0], [-1, 4, -4, 1], [2, -1, -3, -4], [0, -4, -6, -4], [-3, 0, 0, -3], [-1, 6, 2, -2], [-2, 2, 1, 1], [-3, 0, 3, 4], [-1, 1, 1, 0], [7, 3, 7, 0], [3, 0, 4, 0], [5, 1, -5, 0], [-3, 0, 3, 2], [0, -2, 4, -2], [-1, 0, -1, -5], [6, -3, 3, 6], [-2, -2, -1, 1], [2, -7, 6, 5], [-2, 2, -1, -1], [-5, -2, -5, 0], [3, -2, -1, -1], [6, -1, -1, 6], [0, 0, -1, 1], [5, 7, 4, 0], [1, 0, 0, 0], [9, 2, -3, -4], [6, 0, -3, 3], [-3, 0, 3, 2], [-3, -2, 0, -2], [0, -5, -1, 2], [3, 5, 4, 0], [4, -4, 5, 5], [0, -2, -1, 2], [-3, -6, 6, 3], [2, -1, 1, -2], [-7, 3, -1, 4], [-1, 6, -1, 0], [0, 3, 6, 3], [-2, -5, -6, 1], [-8, -5, -5, -8], [-2, 0, -1, 0], [7, 4, 0, 4], [-1, 4, -4, 1], [0, -4, -6, -4], [2, -1, -3, -4], [6, 2, 3, 6], [0, -4, -6, -4], [4, -3, 1, 2], [-3, 0, 0, -3], [0, 10, 0, 10], [-1, 6, 2, -2], [13, 5, -5, -13], [-2, 2, 1, 1], [0, -1, 1, -2], [-3, 0, 3, 4], [1, -12, 3, -6], [-1, 1, 1, 0], [-5, 0, 0, -5], [7, 3, 7, 0], [-6, 3, 9, -6], [3, 0, 4, 0]], 'ap': [[1, 0, 0, 0], [-1, 1, 1, 0], [-2, 0, -1, 0], [-2, -2, -1, 1], [-3, 0, 0, -3], [-3, 0, 3, 2], [-3, -2, 0, -2], [-1, 6, -1, 0], [-2, 2, 1, 1], [-2, 2, -1, -1], [0, 0, -1, 1], [2, -1, 1, -2], [-1, 4, -4, 1], [0, -4, -6, -4], [-3, 0, 3, 4], [0, -2, 4, -2], [-5, -2, -5, 0], [6, -1, -1, 6], [-3, 0, 3, 2], [4, -4, 5, 5], [-3, -6, 6, 3], [-8, -5, -5, -8], [0, -4, -6, -4], [0, 10, 0, 10], [-5, 0, 0, -5], [0, 2, 8, 2], [-7, 8, -7, 0], [-3, -2, 2, 3], [-6, 5, -5, 6], [5, -5, 4, 4], [4, -4, 0, 4], [-5, -5, 0, 0], [-1, 12, -1, 0], [1, -1, -4, -4], [0, -10, -8, -10], [1, 0, -1, -8], [9, 10, 9, 0], [-3, 3, -6, -6], [-12, 3, 3, -12], [-6, -7, 7, 6], [-3, 6, -3, 0], [-6, 9, -9, 6], [-12, -4, 0, 4], [9, 9, -10, 10], [6, -6, 1, 1], [0, 0, 11, -11], [9, -6, -6, 9], [-12, -8, 0, 8], [1, 1, 4, -4], [-13, 0, 13, -2], [1, 4, 4, 1], [-12, 0, 0, 0], [-5, -5, 14, -14], [12, -2, 0, 2], [6, -2, 0, 2], [-8, 0, 0, 0], [-10, -10, -17, 17], [-12, 8, 0, -8], [-8, 19, 19, -8], [-11, 0, 11, -12], [9, 9, 2, -2], [7, -2, 7, 0], [-9, 0, 9, -18], [16, 16, -3, 3], [7, -7, -8, -8], [-16, -16, 11, -11], [-3, -2, -3, 0], [-1, 12, -12, 1], [7, -7, 14, 14], [-5, 0, 5, -6], [-11, -8, -11, 0], [3, 0, -3, -8], [-2, -2, -1, 1], [-7, -6, -7, 0], [-15, -15, -12, 12], [16, 8, 0, -8], [1, 0, -1, -2], [-12, 12, -11, -11], [-3, 10, -10, 3], [0, 2, 8, 2], [-3, -12, 12, 3], [0, -10, -24, -10], [24, 9, 9, 24], [0, 12, 12, 12], [-2, 2, 13, 13], [15, 0, -15, -10], [-5, 8, 8, -5], [0, 4, 4, 4], [-7, -18, -7, 0], [11, 0, -11, 4], [0, -6, -18, -6], [14, 14, -5, 5], [0, 0, 5, 5], [17, 2, 17, 0], [1, 18, 18, 1], [12, 12, 3, -3], [30, 4, 0, -4], [9, 10, 10, 9], [-7, 0, 7, 2], [-16, -16, -13, 13], [21, -12, 12, -21], [-1, 0, 1, 14], [0, 12, -22, 12], [3, 8, 3, 0], [-5, -4, -4, -5], [5, 0, -5, 24], [0, -2, -34, -2], [0, -10, -8, -10], [0, -12, 2, -12], [7, -18, 18, -7], [-8, 5, 5, -8], [-7, -10, -7, 0], [-27, 8, -8, 27], [-3, -22, 22, 3], [-23, 0, 23, -4], [-1, -1, 8, -8], [13, -20, -20, 13], [-21, 8, -21, 0], [18, 18, -7, 7], [0, -6, 26, -6], [-5, 0, 5, 2], [-7, 7, -2, -2], [-8, 5, 5, -8], [-27, 6, -6, 27], [-15, 14, -14, 15], [-18, 4, 0, -4], [-4, -4, -5, 5], [8, -8, 25, 25], [-15, -8, -15, 0], [2, 32, 0, -32], [21, 0, -21, 10], [-4, -17, -17, -4], [-10, -10, 17, -17], [2, 8, 0, -8], [-10, -12, 0, 12], [-26, -16, 0, 16], [-46, 0, 0, 0], [9, -16, -16, 9], [-14, 4, 0, -4], [11, 12, 12, 11], [11, -11, 2, 2], [8, 8, 25, -25], [10, -10, -21, -21], [11, 11, 2, -2], [-26, 4, 0, -4], [-26, 9, -9, 26], [-18, 13, 13, -18], [5, -5, 28, 28], [-5, 0, 5, 18], [15, -12, 15, 0], [-16, -16, -19, 19], [19, -19, 4, 4], [-9, -14, -9, 0], [-20, 11, 11, -20], [-35, 35, 10, 10], [-8, 11, -11, 8], [0, 8, -30, 8], [-11, -6, 6, 11], [0, -4, -12, -4], [4, 3, 3, 4], [5, -6, 6, -5], [1, 0, -1, -40], [0, -24, 10, -24], [-5, 18, -5, 0], [0, 18, -32, 18], [20, 5, -5, -20], [2, -2, 9, 9], [4, -4, -31, -31]], 'char_orbit_index': 23, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 4505111489413630, 'hecke_ring_character_values': [[341, [-1, 0, 0, 0]], [307, [0, 0, -1, 0]], [241, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '510.2.w.b', 'level': 510, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2040, 'analytic_conductor': 4.0723705030853, 'char_conductor': 255, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [510, 8, [341, 307, 241], [4, 2, 7]], 'conrey_index': 257, 'cusp_dim': 400, 'dim': 144, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1511862043134, 'hecke_orbit_dims': [4, 4, 68, 68], 'label': '510.2.w', 'level': 510, '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, 17], 'level_radical': 510, 'mf_dim': 464, 'mf_new_dim': 144, 'num_forms': 4, 'prim_orbit_index': 27, 'relative_dim': 36, 'sturm_bound': 216, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 24, 144, 0, 0, 0, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, -16, 0, 0, -48, 0, 0, 24, 0, 0, 0, -32, 0, 16, -16, 0, 0, -16, 0, -16, 16, 0, 24, 0, 0, 80, 144, 0, 0, -16, 0, 0, -48, 0, 0, -144, 0, 0, 0, 0, 0, -80, 0, 0, -96, 0, 0, -176, 0, 0, -16, 0, -72, -96, 0, 0, 0, 0, 0, -144, 0, -48, -16, 0, -96, -16, 0, -80, 0, 0, 0, -96, 0, 112, 0, 0, -48, -128, 0, 0, 0, 0, 0, -96, 0, 0, 16, 0, 48, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, -208, -32, 0, 16, -16, 0, 0, -192, 0, 0, -32, 0, -96, 16, 0, -128, 0, 0, -16, 16, 0, 32, 0, 0, -128, -112, 0, -120, 0, 0, -48, 0, 0, 80, 0, 0, -48, 48, 0, -16, 0, 0, 24, 32, 0, 96, 0, 0, -48, 176, 0, 80, 176, 0, 0, 96, 0, 48, -32, 0, 0, 48, 0, -48, 0, 0, 16, 112, 0, 208, -16, 0, -112, 0, 0, 0, 0, 0, 0, 128, 0, 192, -16, 0, 64, 160, 0, -64, 16, 0, -16, 32, 0, 128, 16, 0, -48, 224, 0, 240, 224, 0, 24, 192, 0, 160, 0, 0, 128, 224, 0, 64, 192, 0, 80, 288, 0, 224, 144, 0, 16, 0, 0, 64, 16, 0, 0, 64, 0, 272, -16, 0, 136, 64, 0, 96, -272, 0, 0, 16, 0, 176, -48, 0, -128, 16, 0, 160, 80, 0, 0, 16, 0, 64, -144, 0, -80, 224, 0, -96, 0, 0, 0, 192, 0, 368, 0, 0, 0, -16, 0, 240, 0, 0, 0, 112, 0, 352, -80, 0, 224, 192, 0, -48, -128, 0, 0, -96, 0, 80, -96, 0, -120, -64, 0, 64, -48, 0, 0, -160, 0, 0, -176, 0, 0, 240, 0, -304, 0, 0, 0, 128, 0, -64, -16, 0, -128, -208, 0, -336, 64, 0, -72, 0, 0, 96, -96, 0, 128, 0, 0, -352, 0, 0, 0, -16, 0, -48, 0, 0, 16, -64, 0, -160, 192, 0, 0, -240, 0, -240, -144, 0, -48, -176, 0, -416, 0, 0, -48, 112, 0, -160, -16, 0, -160, -432, 0, -384, 64, 0, -96, 0, 0, -256, -16, 0, 64, 48, 0, -416, 0, 0, -80, 0, 0, -128, 0, 0, -240, 0, 0, -160, 192, 0, 0, 0, 0, -32, -96, 0, 224, 208, 0, -672, 224, 0, 112, 288, 0, -16, 0, 0, 80, -544, 0, -400, 128, 0, -48, 0, 0, -160, -128, 0, 384, -16, 0, -336, -288, 0, 0, 160, 0, -160, 0, 0, 64, -32, 0, -176, 288, 0, 0, -128, 0, -352, -96, 0, 80, 48, 0, -384, 176, 0, 0, 192, 0, 96, 16, 0, 208, -64, 0, -128, 224, 0, 48, 48, 0, 112, 0, 0, 536, -384, 0, -176, -256, 0, 0, 0, 0, -80, 0, 0, 48, -496, 0, 208, 64, 0, 0, -240, 0, 0, -256, 0, 80, 144, 0, -16, 16, 0, 0, 64, 0, 16, 0, 0, -64, -400, 0, -48, -16, 0, -208, 0, 0, 384, -32, 0, 320, 112, 0, 256, -192, 0, 16, 352, 0, 144, -16, 0, 272, -384, 0, 416, 192, 0, 0, -208, 0, 0, -192, 0, 64, -224, 0, -16, -128, 0, 0, -64, 0, 0, -32, 0, 0, -464, 0, 0, -128, 0, -96, 32, 0, 0, 16, 0, 144, -384, 0, -304, -112, 0, -128, 16, 0, -200, 0, 0, -112, -256, 0, 288, 240, 0, -16, -256, 0, 0, 16, 0, 224, -144, 0, 64, 128, 0, 32, 320, 0, -320, 0, 0, 0, -912, 0, -96, 64, 0, -128, -368, 0, 288, -112, 0, 80, -592, 0, -144, -464, 0, -120, 0, 0, -208, 0, 0, -176, -128, 0, 192, 192, 0, -48, 64, 0, 96, 0, 0, -160, 0, 0, 112, 0, 0, 80, 512, 0, 240, 0, 0, 128, 32, 0, 464, 224, 0, -48, 496, 0, 320, 48, 0, 512, 96, 0, 80, -384, 0, -16, 352, 0, -128, 0, 0, 128, 64, 0, 384, 32, 0, 24, 320, 0, 0, 32, 0, 80, 464, 0, -48, 224, 0, 96, 992, 0, -224, 0, 0, 32, 224, 0, 160, 288, 0, -48, 464, 0, 208, 176, 0, 328, 192, 0, 336, -336, 0, 80, 672, 0, -272, 176, 0, 416, 288, 0, 568, 192, 0, 0, 96, 0, 16, 96, 0, -80, 208, 0, 496, -256, 0, 48, 544, 0, 80, -32, 0, 0, 224, 0, 336, -240, 0, 0, 768, 0, 336, 48, 0, 96, 192, 0, 240, -384, 0, -48, 1120, 0, 336, 0, 0, 0, 288, 0, 832, -128, 0, 16, 416, 0, 608, 112, 0, 16, 704, 0, 720, -128, 0, 208, 192, 0, -96, -16, 0, 0, 144, 0, -32, -304, 0, -112, 128, 0, 320, 0, 0, 0, 128, 0, 0, -720, 0, 0, 528, 0, -288, 0, 0, 0, 96, 0, -32, -128, 0, 0, -144, 0, -352, 128, 0, -432, 0, 0, -16, -192, 0, 192, 320, 0, -272, -16, 0, 0, -368, 0, -304, 160, 0, 64, -224, 0, -64, 160, 0, 32, -368, 0, -496, -384, 0, -64, -480, 0, -992, 16, 0, -208, -416, 0, -128, -512, 0, -16, -416, 0, -432, 32, 0, -448, 0, 0, -400, -64, 0, 128, 432, 0, -480, 16, 0, -368, 0, 0, -368, 0, 0, -48, 0, 0, 480, 224, 0, -112, 0, 0, 0, -368, 0, 240, 384, 0, -224, 224, 0, 384, 224, 0, -240, -48, 0, 24, -80, 0, -448, 192, 0, -384, 0, 0, -416, -160, 0, 160, 32, 0, -880, 0, 0, 0, 512, 0, -592, 128, 0, 128, 192, 0, -320, 224, 0, -144, 16, 0, -352, -192, 0, 64, 384, 0, -480, 192], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 360355
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '510.2.w.a', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360356
{'conductor': 85, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '510.2.w.a', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '85.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 360357
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '510.2.w.b', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 360358
{'conductor': 255, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '510.2.w.b', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '255.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 360359
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '510.2.z.a', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360360
{'conductor': 51, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '510.2.z.a', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 360361
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '510.2.z.b', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 360362
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '510.2.w.b', 'source_level': 510, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '510.2.z.b', 'target_level': 510, 'twist_class_label': '510.2.w.a', 'twist_class_level': 510, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 984075
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 4505111489413630, 'p': 2}
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id: 984076
{'charpoly_factorization': [[[9, 12, 8, 4, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 3}
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id: 984077
{'charpoly_factorization': [[[5, 4, 1], 2]], 'hecke_orbit_code': 4505111489413630, 'p': 5}
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id: 984078
{'charpoly_factorization': [[[2, -4, 18, 8, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 7}
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id: 984079
{'charpoly_factorization': [[[162, 108, 54, 12, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 11}
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id: 984080
{'charpoly_factorization': [[[196, 168, 72, 12, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 13}
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id: 984081
{'charpoly_factorization': [[[17, 6, 1], 2]], 'hecke_orbit_code': 4505111489413630, 'p': 17}
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id: 984082
{'charpoly_factorization': [[[1156, -136, 8, 4, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 19}
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id: 984083
{'charpoly_factorization': [[[98, 84, 34, 8, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 23}
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id: 984084
{'charpoly_factorization': [[[2, -4, 18, 8, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 29}
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id: 984085
{'charpoly_factorization': [[[2, 4, 2, 0, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 31}
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id: 984086
{'charpoly_factorization': [[[98, -84, 34, -8, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 37}
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id: 984087
{'charpoly_factorization': [[[98, -140, 54, 4, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 41}
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id: 984088
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 43}
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id: 984089
{'charpoly_factorization': [[[4, 24, 72, 12, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 47}
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id: 984090
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 53}
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id: 984091
{'charpoly_factorization': [[[2116, 920, 200, 20, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 59}
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id: 984092
{'charpoly_factorization': [[[1058, -460, 194, -24, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 61}
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id: 984093
{'charpoly_factorization': [[[196, 168, 72, 12, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 67}
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id: 984094
{'charpoly_factorization': [[[4802, -196, 66, -16, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 71}
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id: 984095
{'charpoly_factorization': [[[7938, 756, 54, 12, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 73}
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id: 984096
{'charpoly_factorization': [[[28322, 6188, 594, 32, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 79}
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id: 984097
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 83}
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id: 984098
{'charpoly_factorization': [[[200, 0, 1], 2]], 'hecke_orbit_code': 4505111489413630, 'p': 89}
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id: 984099
{'charpoly_factorization': [[[1250, 500, 150, 20, 1], 1]], 'hecke_orbit_code': 4505111489413630, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 23, 'hecke_orbit': 2, 'label': '510.2.w.b', 'level': 510, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 96418000
{'hecke_orbit_code': 4505111489413630, 'n': 1, 'trace_an': 4}
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id: 96418001
{'hecke_orbit_code': 4505111489413630, 'n': 2, 'trace_an': 4}
-
id: 96418002
{'hecke_orbit_code': 4505111489413630, 'n': 3, 'trace_an': -4}
-
id: 96418003
{'hecke_orbit_code': 4505111489413630, 'n': 4, 'trace_an': 4}
-
id: 96418004
{'hecke_orbit_code': 4505111489413630, 'n': 5, 'trace_an': -8}
-
id: 96418005
{'hecke_orbit_code': 4505111489413630, 'n': 6, 'trace_an': -4}
-
id: 96418006
{'hecke_orbit_code': 4505111489413630, 'n': 7, 'trace_an': -8}
-
id: 96418007
{'hecke_orbit_code': 4505111489413630, 'n': 8, 'trace_an': 4}
-
id: 96418008
{'hecke_orbit_code': 4505111489413630, 'n': 9, 'trace_an': 0}
-
id: 96418009
{'hecke_orbit_code': 4505111489413630, 'n': 10, 'trace_an': -8}
-
id: 96418010
{'hecke_orbit_code': 4505111489413630, 'n': 11, 'trace_an': -12}
-
id: 96418011
{'hecke_orbit_code': 4505111489413630, 'n': 12, 'trace_an': -4}
-
id: 96418012
{'hecke_orbit_code': 4505111489413630, 'n': 13, 'trace_an': -12}
-
id: 96418013
{'hecke_orbit_code': 4505111489413630, 'n': 14, 'trace_an': -8}
-
id: 96418014
{'hecke_orbit_code': 4505111489413630, 'n': 15, 'trace_an': 12}
-
id: 96418015
{'hecke_orbit_code': 4505111489413630, 'n': 16, 'trace_an': 4}
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id: 96418016
{'hecke_orbit_code': 4505111489413630, 'n': 17, 'trace_an': -12}
-
id: 96418017
{'hecke_orbit_code': 4505111489413630, 'n': 18, 'trace_an': 0}
-
id: 96418018
{'hecke_orbit_code': 4505111489413630, 'n': 19, 'trace_an': -4}
-
id: 96418019
{'hecke_orbit_code': 4505111489413630, 'n': 20, 'trace_an': -8}
-
id: 96418020
{'hecke_orbit_code': 4505111489413630, 'n': 21, 'trace_an': 8}
-
id: 96418021
{'hecke_orbit_code': 4505111489413630, 'n': 22, 'trace_an': -12}
-
id: 96418022
{'hecke_orbit_code': 4505111489413630, 'n': 23, 'trace_an': -8}
-
id: 96418023
{'hecke_orbit_code': 4505111489413630, 'n': 24, 'trace_an': -4}
-
id: 96418024
{'hecke_orbit_code': 4505111489413630, 'n': 25, 'trace_an': 12}
-
id: 96418025
{'hecke_orbit_code': 4505111489413630, 'n': 26, 'trace_an': -12}
-
id: 96418026
{'hecke_orbit_code': 4505111489413630, 'n': 27, 'trace_an': -4}
-
id: 96418027
{'hecke_orbit_code': 4505111489413630, 'n': 28, 'trace_an': -8}
-
id: 96418028
{'hecke_orbit_code': 4505111489413630, 'n': 29, 'trace_an': -8}
-
id: 96418029
{'hecke_orbit_code': 4505111489413630, 'n': 30, 'trace_an': 12}
-
id: 96418030
{'hecke_orbit_code': 4505111489413630, 'n': 31, 'trace_an': 0}
-
id: 96418031
{'hecke_orbit_code': 4505111489413630, 'n': 32, 'trace_an': 4}
-
id: 96418032
{'hecke_orbit_code': 4505111489413630, 'n': 33, 'trace_an': 24}
-
id: 96418033
{'hecke_orbit_code': 4505111489413630, 'n': 34, 'trace_an': -12}
-
id: 96418034
{'hecke_orbit_code': 4505111489413630, 'n': 35, 'trace_an': 12}
-
id: 96418035
{'hecke_orbit_code': 4505111489413630, 'n': 36, 'trace_an': 0}
-
id: 96418036
{'hecke_orbit_code': 4505111489413630, 'n': 37, 'trace_an': 8}
-
id: 96418037
{'hecke_orbit_code': 4505111489413630, 'n': 38, 'trace_an': -4}
-
id: 96418038
{'hecke_orbit_code': 4505111489413630, 'n': 39, 'trace_an': -8}
-
id: 96418039
{'hecke_orbit_code': 4505111489413630, 'n': 40, 'trace_an': -8}
-
id: 96418040
{'hecke_orbit_code': 4505111489413630, 'n': 41, 'trace_an': -4}
-
id: 96418041
{'hecke_orbit_code': 4505111489413630, 'n': 42, 'trace_an': 8}
-
id: 96418042
{'hecke_orbit_code': 4505111489413630, 'n': 43, 'trace_an': 0}
-
id: 96418043
{'hecke_orbit_code': 4505111489413630, 'n': 44, 'trace_an': -12}
-
id: 96418044
{'hecke_orbit_code': 4505111489413630, 'n': 45, 'trace_an': -4}
-
id: 96418045
{'hecke_orbit_code': 4505111489413630, 'n': 46, 'trace_an': -8}
-
id: 96418046
{'hecke_orbit_code': 4505111489413630, 'n': 47, 'trace_an': -12}
-
id: 96418047
{'hecke_orbit_code': 4505111489413630, 'n': 48, 'trace_an': -4}
-
id: 96418048
{'hecke_orbit_code': 4505111489413630, 'n': 49, 'trace_an': 28}
-
id: 96418049
{'hecke_orbit_code': 4505111489413630, 'n': 50, 'trace_an': 12}
-
id: 96418050
{'hecke_orbit_code': 4505111489413630, 'n': 51, 'trace_an': 20}
-
id: 96418051
{'hecke_orbit_code': 4505111489413630, 'n': 52, 'trace_an': -12}
-
id: 96418052
{'hecke_orbit_code': 4505111489413630, 'n': 53, 'trace_an': 0}
-
id: 96418053
{'hecke_orbit_code': 4505111489413630, 'n': 54, 'trace_an': -4}
-
id: 96418054
{'hecke_orbit_code': 4505111489413630, 'n': 55, 'trace_an': 24}
-
id: 96418055
{'hecke_orbit_code': 4505111489413630, 'n': 56, 'trace_an': -8}
-
id: 96418056
{'hecke_orbit_code': 4505111489413630, 'n': 57, 'trace_an': 8}
-
id: 96418057
{'hecke_orbit_code': 4505111489413630, 'n': 58, 'trace_an': -8}
-
id: 96418058
{'hecke_orbit_code': 4505111489413630, 'n': 59, 'trace_an': -20}
-
id: 96418059
{'hecke_orbit_code': 4505111489413630, 'n': 60, 'trace_an': 12}
-
id: 96418060
{'hecke_orbit_code': 4505111489413630, 'n': 61, 'trace_an': 24}
-
id: 96418061
{'hecke_orbit_code': 4505111489413630, 'n': 62, 'trace_an': 0}
-
id: 96418062
{'hecke_orbit_code': 4505111489413630, 'n': 63, 'trace_an': 20}
-
id: 96418063
{'hecke_orbit_code': 4505111489413630, 'n': 64, 'trace_an': 4}
-
id: 96418064
{'hecke_orbit_code': 4505111489413630, 'n': 65, 'trace_an': 36}
-
id: 96418065
{'hecke_orbit_code': 4505111489413630, 'n': 66, 'trace_an': 24}
-
id: 96418066
{'hecke_orbit_code': 4505111489413630, 'n': 67, 'trace_an': -12}
-
id: 96418067
{'hecke_orbit_code': 4505111489413630, 'n': 68, 'trace_an': -12}
-
id: 96418068
{'hecke_orbit_code': 4505111489413630, 'n': 69, 'trace_an': 0}
-
id: 96418069
{'hecke_orbit_code': 4505111489413630, 'n': 70, 'trace_an': 12}
-
id: 96418070
{'hecke_orbit_code': 4505111489413630, 'n': 71, 'trace_an': 16}
-
id: 96418071
{'hecke_orbit_code': 4505111489413630, 'n': 72, 'trace_an': 0}
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