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mf_newforms • Show schema
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{'Nk2': 5472, 'analytic_conductor': 10.923534996511156, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1368, 2, [343, 685, 1217, 1009], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 685, 'dim': 16, 'field_disc': 417570629227715089137664, 'field_disc_factorization': [[2, 30], [1319, 2], [14951, 2]], 'field_poly': [256, -256, 192, -128, 64, 32, -40, 48, -40, 24, -10, 4, 4, -4, 3, -2, 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': [[5, [82944, 0, 358912, 0, 425168, 0, 233080, 0, 68929, 0, 11532, 0, 1078, 0, 52, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786712, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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': '1368.2.g.b', 'level': 1368, '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, 3, 19], 'level_radical': 114, 'minimal_twist': '152.2.c.b', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{9}q^{2}+\\beta _{2}q^{4}+(-\\beta _{1}-\\beta _{6}+\\beta _{8}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1368.2.g', 'trace_display': [0, 0, 0, -8], 'trace_hash': 357696015984918129, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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-6, 4, -3, 13, 0, 5, -1, -6, -3, 12, -3, -3, 0, -10], [-8, 6, -9, -3, 3, 22, 0, 16, -8, 8, 4, 13, 2, -8, 0, 3], [0, -6, 0, 4, 13, -2, 22, 0, -2, 4, -3, -4, 11, -1, 6, 1], [0, 13, -6, -6, -6, -4, -19, 0, -1, 4, -5, 3, -11, 2, 0, -8], [12, 2, -16, -4, 8, 0, 0, -4, 6, 16, 8, 6, 8, 2, 0, -10], [0, -4, -6, 2, -16, -8, -10, 0, 0, 0, -4, 2, -8, 0, 0, -6], [0, 4, 11, 7, -1, -4, -4, 0, -18, -10, -12, -19, 8, 4, -18, 7], [0, -14, -8, 8, -4, -4, -6, 0, -2, -10, -6, -4, 4, -6, 2, -2], [-2, 8, -17, 3, 15, 6, 0, 22, -24, 20, 10, -13, 20, 20, 0, -5], [0, 15, -8, -10, 10, 10, 3, 0, 5, 12, 10, 14, 2, -4, 20, -4], [0, 14, 10, 0, 7, 2, 2, 0, -14, 0, -12, -18, 16, 4, -8, 6], [0, -9, -2, 0, 15, 4, 5, 0, 9, -6, -2, -3, 4, -3, 0, 1], [7, 4, 8, -1, 0, 1, 0, 8, -8, -4, -2, -5, 2, -1, 0, -8], [0, -5, 0, -2, 15, 6, 37, 0, 9, 1, 8, 6, 1, -2, 5, 2], [38, -16, 8, -10, -5, 9, 0, -3, -9, -6, -3, -2, -7, -3, 0, 4]], 'char_orbit_index': 7, 'field_poly': [256, -256, 192, -128, 64, 32, -40, 48, -40, 24, -10, 4, 4, -4, 3, -2, 1], 'hecke_orbit_code': 4504011977786712, 'hecke_ring_character_values': [[343, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [685, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1217, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1009, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 128, 64, 64, 256, 256, 256, 128, 256, 256, 64, 256, 256, 128, 64, 128], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1], [0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, -1, -1, 0, 1], [2, -2, 0, -2, 1, 0, 4, -2, 2, -2, -1, 2, 1, -1, 2, -1], [-4, -2, 2, 0, -1, -4, -2, -2, 2, 2, -1, -2, 1, 1, 2, -3], [0, -4, 0, 0, -5, 2, 2, -2, -4, -2, 1, 0, -1, -1, -2, 1], [-8, 4, -2, -2, -7, 2, 2, 2, 0, -2, -3, 6, -5, -5, 2, -1], [0, 4, -12, -4, 3, 6, 6, 10, -4, 6, 1, -4, 11, 3, 10, -3], [-8, 12, -6, 14, 1, -2, -6, 6, -16, -2, -7, -10, 7, 7, -2, -5], [12, 8, -8, 4, -9, 18, 10, 2, 0, -18, 1, 20, -5, 7, -6, 1], [-8, 0, 14, 14, 13, -14, -22, 38, -20, 30, 9, -22, -1, 23, -10, 7], [-36, -16, 4, 16, 47, 26, 2, 26, -32, -10, 13, -24, 47, 11, -14, 41], [-48, 24, 18, -22, 37, 26, -46, -34, 28, 22, -11, 38, -37, -5, -2, -1], [44, -56, 32, -52, 7, 10, 82, -38, 48, -66, 33, 12, -77, -17, -14, -39], [-40, 16, 102, -18, -35, -118, -198, -50, -84, -162, -95, -86, 23, 15, -82, -33]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [256, -192, 128, -64, -32, 40, -48, 40, -24, 10, -4, -4, 4, -3, 2, -1], [-64, 64, -64, 96, -8, 8, 8, -16, 14, -6, 8, 0, -1, 1, -1, 1], [320, 96, 96, 0, -32, 36, 0, 34, 0, 10, 0, -3, 4, 1, 2, 0], [128, 704, 192, 224, -16, -88, 48, 8, 76, 14, 4, -4, -2, 11, 4, 5], [-1152, -448, -832, 96, 48, -40, 16, -192, -4, -42, 20, 8, -10, -1, -12, -3], [-1152, -704, -448, -96, 176, -72, -48, -120, -68, -14, -4, 12, -10, -11, -8, -5], [-1152, 512, -448, 384, 16, -160, 64, -148, 92, -38, 28, 6, -18, 5, -8, 5], [-1920, -704, -960, -32, 112, -104, -80, -248, -52, -62, 12, 12, -18, -11, -16, -5], [-3712, 832, -1344, 928, 144, -456, 192, -496, 188, -98, 60, 16, -58, 11, -28, 9], [384, 640, 288, 224, -120, 0, 48, 44, 74, 6, 12, -10, 1, 7, 5, 5], [-2176, 2880, -320, 1504, -80, -456, 336, -288, 396, -66, 100, -8, -50, 35, -12, 25], [-5760, 2880, -1856, 2144, 16, -776, 400, -784, 500, -170, 148, 0, -94, 31, -40, 29], [2176, -1664, 704, -1056, 64, 368, -208, 300, -256, 66, -60, 6, 40, -19, 14, -15], [2816, -832, 960, -752, -72, 368, -144, 368, -162, 74, -52, -8, 43, -9, 19, -9], [3584, -2240, 1152, -1504, 32, 520, -304, 496, -368, 98, -100, 0, 64, -27, 22, -21]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '1368.2.g.b', 'level': 1368, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5472, 'analytic_conductor': 10.923534996511156, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1368, 2, [343, 685, 1217, 1009], [2, 1, 2, 2]], 'conrey_index': 685, 'cusp_dim': 232, 'dim': 90, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412350416216, 'hecke_orbit_dims': [2, 16, 18, 18, 36], 'label': '1368.2.g', 'level': 1368, '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, 3, 19], 'level_radical': 114, 'mf_dim': 248, 'mf_new_dim': 90, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [-2, 0, 0, -4], 'traces': [90, -2, 0, 2, 0, 0, -4, 4, 0, 8, 0, 0, 0, 20, 0, 2, -4, 0, 0, 8, 0, -20, 20, 0, -86, -10, 0, 2, 0, 0, 0, 8, 0, -12, 0, 0, 0, 0, 0, -28, 4, 0, 0, 4, 0, 4, -20, 0, 90, -10, 0, 0, 0, 0, -48, 16, 0, 2, 0, 0, 0, 48, 0, 38, 16, 0, 0, -6, 0, 40, 24, 0, -20, 56, 0, 0, 0, 0, -8, 4, 0, 24, 0, 0, 0, -36, 0, 48, -36, 0, 0, -14, 0, -88, -16, 0, -20, 34, 0, 22, 0, 0, -16, -30, 0, -58, 0, 0, 0, -80, 0, -14, -12, 0, 0, -8, 0, 50, 8, 0, -42, -20, 0, -84, 0, 0, 72, 40, 0, 52, 0, 0, 0, -102, 0, 4, 36, 0, 0, 0, 0, 20, 0, 0, 0, 64, 0, 32, 0, 0, 56, -6, 0, 44, 0, 0, 0, -20, 0, 52, -16, 0, 0, -48, 0, -88, -24, 0, -86, -100, 0, -40, 0, 0, 44, 80, 0, 16, 0, 0, 0, -14, 0, 40, -64, 0, 0, 68, 0, 16, -68, 0, -36, 32, 0, -44, 0, 0, -4, 4, 0, 112, 0, 0, 0, 20, 0, 32, 0, 0, 0, 16, 0, -26, 128, 0, 16, 26, 0, -4, 0, 0, -152, -136, 0, -16, 0, 0, 0, 132, 0, -66, 12, 0, 0, -52, 0, -44, 28, 0, -4, -126, 0, -44, 0, 0, -12, -56, 0, -92, 0, 0, 0, 40, 0, -70, 100, 0, 0, 76, 0, 112, -84, 0, -32, 14, 0, -44, 0, 0, 116, 26, 0, 36, 0, 0, 0, 52, 0, -68, -52, 0, 0, -108, 0, 72, -88, 0, 110, -204, 0, 118, 0, 0, 32, -52, 0, 28, 0, 0, 0, -8, 0, -24, 40, 0, 0, 52, 0, -136, 20, 0, 28, 20, 0, 36, 0, 0, -48, 20, 0, 36, 0, 0, 0, -84, 0, -44, 104, 0, 0, -4, 0, 36, 192, 0, 20, 154, 0, -144, 0, 0, -8, 132, 0, -80, 0, 0, 0, 92, 0, -48, 28, 0, 0, -156, 0, 32, 28, 0, -90, 56, 0, -12, 0, 0, -92, 14, 0, -136, 0, 0, 0, -88, 0, 64, -144, 0, 0, 16, 0, -48, 48, 0, -120, -44, 0, 116, 0, 0, 64, 0, 0, 80, 0, 0, 0, 148, 0, 74, -84, 0, 0, -96, 0, 30, -48, 0, 100, 184, 0, 48, 0, 0, 0, -18, 0, -28, 0, 0, 0, 82, 0, 34, 20, 0, 0, 84, 0, 156, 48, 0, -84, 72, 0, 240, 0, 0, 88, -144, 0, 66, 0, 0, 0, -148, 0, 38, 140, 0, 0, 148, 0, 94, -304, 0, -44, -148, 0, 92, 0, 0, 28, 32, 0, -88, 0, 0, 0, 144, 0, -78, -8, 0, 0, 130, 0, -32, -76, 0, 0, -64, 0, -102, 0, 0, -104, -100, 0, -72, 0, 0, 0, -24, 0, -84, 48, 0, 0, -68, 0, 8, -92, 0, 96, 40, 0, 36, 0, 0, 16, 112, 0, -40, 0, 0, 0, 196, 0, -188, 4, 0, 0, 296, 0, 32, 32, 0, 98, 84, 0, -32, 0, 0, -32, 10, 0, -192, 0, 0, 0, -52, 0, -60, -32, 0, 0, 70, 0, 32, 52, 0, 112, 164, 0, 236, 0, 0, 128, -164, 0, -276, 0, 0, 0, -184, 0, -92, -140, 0, 0, -272, 0, -220, -28, 0, 20, -34, 0, 76, 0, 0, 336, 196, 0, -238, 0, 0, 0, -156, 0, 152, 92, 0, 0, -104, 0, 62, 32, 0, 12, 12, 0, -176, 0, 0, -160, -30, 0, 140, 0, 0, 0, 56, 0, 144, -140, 0, 0, 96, 0, -40, 232, 0, 202, -248, 0, -44, 0, 0, -348, 292, 0, 70, 0, 0, 0, -264, 0, -60, 12, 0, 0, 130, 0, -6, -60, 0, -96, -90, 0, 64, 0, 0, -128, -80, 0, 20, 0, 0, 0, -126, 0, -88, 24, 0, 0, 160, 0, 60, -256, 0, 76, 104, 0, -76, 0, 0, -88, -276, 0, 56, 0, 0, 0, 192, 0, 228, -72, 0, 0, -128, 0, 96, -32, 0, 8, -284, 0, -130, 0, 0, 28, -144, 0, -32, 0, 0, 0, 296, 0, 236, 160, 0, 0, -8, 0, 64, 140, 0, -96, 2, 0, -56, 0, 0, -20, 50, 0, 408, 0, 0, 0, -196, 0, -264, -16, 0, 0, -280, 0, -22, 168, 0, 8, -202, 0, -12, 0, 0, 24, -160, 0, 44, 0, 0, 0, -82, 0, 52, -60, 0, 0, -54, 0, -20, -96, 0, -132, 72, 0, -56, 0, 0, 176, -180, 0, 84, 0, 0, 0, -64, 0, -132, -32, 0, 0, 188, 0, -64, -56, 0, -80, 84, 0, 66, 0, 0, -160, 304, 0, 84, 0, 0, 0, 4, 0, 88, -92, 0, 0, -372, 0, 8, -208, 0, 0, 92, 0, -40, 0, 0, -188, 236, 0, 90, 0, 0, 0, 128, 0, 120, 76, 0, 0, 28, 0, -460, 16, 0, 74, -86, 0, 12, 0, 0, 164, -120, 0, 144, 0, 0, 0, 340, 0, 166, 100, 0, 0, -348, 0, -64, 232, 0, 16, 392, 0, -308, 0, 0, 336, -74, 0, -46, 0, 0, 0, 72, 0, -24, -76, 0, 0, 64, 0, 92, 152, 0, 80, 160, 0, 184, 0, 0, 208, -112, 0, 412, 0, 0, 0, -280, 0, 396, 96, 0, 0, 180, 0, -116, 248, 0, 48, -152, 0, 316, 0, 0, -252, 148, 0, 44, 0, 0, 0, 388, 0, 106, -300, 0, 0, 184, 0, -8, 240, 0, -36, -214, 0, -372, 0, 0, -56, -52, 0, -204, 0, 0, 0, -56, 0, -152, 52, 0, 0, -126, 0, 92, 96, 0, -54, 32, 0, 24, 0, 0, -188, 500, 0, -112, 0, 0, 0, 148, 0, -312, 140, 0, 0, 544, 0, -32, -96, 0, -160, 102, 0, 18, 0, 0, 80, 240, 0, 244, 0, 0, 0, -156, 0, -56], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 721355
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '152.2.c.b', 'target_level': 152, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 721356
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '152.2.c.b', 'target_level': 152, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 721357
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '608.2.c.b', 'target_level': 608, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 721358
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 3, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '608.2.c.b', 'target_level': 608, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 721359
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1368.2.g.b', 'target_level': 1368, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 721360
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1368.2.g.b', 'target_level': 1368, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 721361
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '4864.2.a.bn', 'target_level': 4864, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 721362
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4864.2.a.bo', 'target_level': 4864, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 721363
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4864.2.a.bp', 'target_level': 4864, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 721364
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4864.2.a.bq', 'target_level': 4864, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 721365
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '5472.2.g.b', 'target_level': 5472, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 721366
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1368.2.g.b', 'source_level': 1368, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '5472.2.g.b', 'target_level': 5472, 'twist_class_label': '152.2.c.b', 'twist_class_level': 152, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1901600
{'charpoly_factorization': [[[256, 0, -64, -128, 0, 0, 24, 0, 8, 0, 6, 0, 0, -4, -1, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 2}
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id: 1901601
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504011977786712, 'p': 3}
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id: 1901602
{'charpoly_factorization': [[[82944, 0, 358912, 0, 425168, 0, 233080, 0, 68929, 0, 11532, 0, 1078, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 5}
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id: 1901603
{'charpoly_factorization': [[[-313, -328, 946, 948, 80, -128, -26, 4, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 7}
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id: 1901604
{'charpoly_factorization': [[[65536, 0, 606208, 0, 1549824, 0, 1175360, 0, 339089, 0, 43444, 0, 2742, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 11}
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id: 1901605
{'charpoly_factorization': [[[262144, 0, 6062080, 0, 9295872, 0, 4538688, 0, 948921, 0, 94304, 0, 4694, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 13}
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id: 1901606
{'charpoly_factorization': [[[9409, 2556, -8140, -2300, 1366, 260, -76, -4, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 17}
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id: 1901607
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 4504011977786712, 'p': 19}
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id: 1901608
{'charpoly_factorization': [[[155824, -67168, -63784, 4584, 4807, -76, -124, 0, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 23}
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id: 1901609
{'charpoly_factorization': [[[8620096, 0, 38539456, 0, 57198560, 0, 33233400, 0, 7681833, 0, 708704, 0, 21190, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 29}
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id: 1901610
{'charpoly_factorization': [[[7552, 7168, -3136, -2944, 664, 304, -52, -8, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 31}
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id: 1901611
{'charpoly_factorization': [[[65536, 0, 11091968, 0, 19805184, 0, 11096576, 0, 2081344, 0, 177216, 0, 7408, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 37}
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id: 1901612
{'charpoly_factorization': [[[-3072, 32768, -65376, 15360, 4440, -832, -128, 8, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 41}
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id: 1901613
{'charpoly_factorization': [[[1401856, 0, 27362816, 0, 60051280, 0, 36711624, 0, 7752257, 0, 525876, 0, 15414, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 43}
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id: 1901614
{'charpoly_factorization': [[[34432, -189984, 48964, 34420, -3183, -2208, -146, 12, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 47}
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id: 1901615
{'charpoly_factorization': [[[132199142464, 0, 63269170240, 0, 11952982240, 0, 1149951112, 0, 61150233, 0, 1852592, 0, 31574, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 53}
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id: 1901616
{'charpoly_factorization': [[[2722334976, 0, 41900679424, 0, 15967221856, 0, 2217523280, 0, 137978329, 0, 4112076, 0, 58990, 0, 396, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 59}
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id: 1901617
{'charpoly_factorization': [[[10615398064384, 0, 21549642185216, 0, 2333609638112, 0, 102616577248, 0, 2342785473, 0, 29771068, 0, 208230, 0, 732, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 61}
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id: 1901618
{'charpoly_factorization': [[[4865341504, 0, 21865994944, 0, 16137742048, 0, 3151130744, 0, 223261097, 0, 6559500, 0, 84830, 0, 484, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 67}
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id: 1901619
{'charpoly_factorization': [[[-9153024, -1548544, 697152, 128256, -13424, -3152, 12, 24, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 71}
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id: 1901620
{'charpoly_factorization': [[[6637913, -1197040, -719468, 64672, 26830, -560, -316, 0, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 73}
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id: 1901621
{'charpoly_factorization': [[[-70912, -13440, 83488, 4608, -12616, -1984, 64, 24, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 79}
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id: 1901622
{'charpoly_factorization': [[[22968008704, 0, 41617981440, 0, 18050252800, 0, 2969337856, 0, 200009728, 0, 5584384, 0, 72720, 0, 440, 0, 1], 1]], 'hecke_orbit_code': 4504011977786712, 'p': 83}
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id: 1901623
{'charpoly_factorization': [[[-400128, -70528, 724960, -307520, 25592, 3040, -352, -8, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 89}
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id: 1901624
{'charpoly_factorization': [[[8192, 61440, -74752, -38400, 22432, 3504, -292, -16, 1], 2]], 'hecke_orbit_code': 4504011977786712, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '1368.2.g.b', 'level': 1368, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 22773379
{'hecke_orbit_code': 4504011977786712, 'n': 1, 'trace_an': 16}
-
id: 22773380
{'hecke_orbit_code': 4504011977786712, 'n': 2, 'trace_an': 0}
-
id: 22773381
{'hecke_orbit_code': 4504011977786712, 'n': 3, 'trace_an': 0}
-
id: 22773382
{'hecke_orbit_code': 4504011977786712, 'n': 4, 'trace_an': 2}
-
id: 22773383
{'hecke_orbit_code': 4504011977786712, 'n': 5, 'trace_an': 0}
-
id: 22773384
{'hecke_orbit_code': 4504011977786712, 'n': 6, 'trace_an': 0}
-
id: 22773385
{'hecke_orbit_code': 4504011977786712, 'n': 7, 'trace_an': -8}
-
id: 22773386
{'hecke_orbit_code': 4504011977786712, 'n': 8, 'trace_an': 12}
-
id: 22773387
{'hecke_orbit_code': 4504011977786712, 'n': 9, 'trace_an': 0}
-
id: 22773388
{'hecke_orbit_code': 4504011977786712, 'n': 10, 'trace_an': -8}
-
id: 22773389
{'hecke_orbit_code': 4504011977786712, 'n': 11, 'trace_an': 0}
-
id: 22773390
{'hecke_orbit_code': 4504011977786712, 'n': 12, 'trace_an': 0}
-
id: 22773391
{'hecke_orbit_code': 4504011977786712, 'n': 13, 'trace_an': 0}
-
id: 22773392
{'hecke_orbit_code': 4504011977786712, 'n': 14, 'trace_an': -4}
-
id: 22773393
{'hecke_orbit_code': 4504011977786712, 'n': 15, 'trace_an': 0}
-
id: 22773394
{'hecke_orbit_code': 4504011977786712, 'n': 16, 'trace_an': 2}
-
id: 22773395
{'hecke_orbit_code': 4504011977786712, 'n': 17, 'trace_an': 8}
-
id: 22773396
{'hecke_orbit_code': 4504011977786712, 'n': 18, 'trace_an': 0}
-
id: 22773397
{'hecke_orbit_code': 4504011977786712, 'n': 19, 'trace_an': 0}
-
id: 22773398
{'hecke_orbit_code': 4504011977786712, 'n': 20, 'trace_an': -8}
-
id: 22773399
{'hecke_orbit_code': 4504011977786712, 'n': 21, 'trace_an': 0}
-
id: 22773400
{'hecke_orbit_code': 4504011977786712, 'n': 22, 'trace_an': 20}
-
id: 22773401
{'hecke_orbit_code': 4504011977786712, 'n': 23, 'trace_an': 0}
-
id: 22773402
{'hecke_orbit_code': 4504011977786712, 'n': 24, 'trace_an': 0}
-
id: 22773403
{'hecke_orbit_code': 4504011977786712, 'n': 25, 'trace_an': -24}
-
id: 22773404
{'hecke_orbit_code': 4504011977786712, 'n': 26, 'trace_an': 10}
-
id: 22773405
{'hecke_orbit_code': 4504011977786712, 'n': 27, 'trace_an': 0}
-
id: 22773406
{'hecke_orbit_code': 4504011977786712, 'n': 28, 'trace_an': -14}
-
id: 22773407
{'hecke_orbit_code': 4504011977786712, 'n': 29, 'trace_an': 0}
-
id: 22773408
{'hecke_orbit_code': 4504011977786712, 'n': 30, 'trace_an': 0}
-
id: 22773409
{'hecke_orbit_code': 4504011977786712, 'n': 31, 'trace_an': 16}
-
id: 22773410
{'hecke_orbit_code': 4504011977786712, 'n': 32, 'trace_an': 20}
-
id: 22773411
{'hecke_orbit_code': 4504011977786712, 'n': 33, 'trace_an': 0}
-
id: 22773412
{'hecke_orbit_code': 4504011977786712, 'n': 34, 'trace_an': 0}
-
id: 22773413
{'hecke_orbit_code': 4504011977786712, 'n': 35, 'trace_an': 0}
-
id: 22773414
{'hecke_orbit_code': 4504011977786712, 'n': 36, 'trace_an': 0}
-
id: 22773415
{'hecke_orbit_code': 4504011977786712, 'n': 37, 'trace_an': 0}
-
id: 22773416
{'hecke_orbit_code': 4504011977786712, 'n': 38, 'trace_an': -2}
-
id: 22773417
{'hecke_orbit_code': 4504011977786712, 'n': 39, 'trace_an': 0}
-
id: 22773418
{'hecke_orbit_code': 4504011977786712, 'n': 40, 'trace_an': 28}
-
id: 22773419
{'hecke_orbit_code': 4504011977786712, 'n': 41, 'trace_an': -16}
-
id: 22773420
{'hecke_orbit_code': 4504011977786712, 'n': 42, 'trace_an': 0}
-
id: 22773421
{'hecke_orbit_code': 4504011977786712, 'n': 43, 'trace_an': 0}
-
id: 22773422
{'hecke_orbit_code': 4504011977786712, 'n': 44, 'trace_an': 28}
-
id: 22773423
{'hecke_orbit_code': 4504011977786712, 'n': 45, 'trace_an': 0}
-
id: 22773424
{'hecke_orbit_code': 4504011977786712, 'n': 46, 'trace_an': -48}
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id: 22773425
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