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mf_newforms • Show schema
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{'Nk2': 624, 'analytic_conductor': 1.245666271531974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [156, 2, [79, 53, 145], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 131, 'dim': 8, 'field_disc': 121550625, 'field_disc_factorization': [[3, 4], [5, 4], [7, 4]], 'field_poly': [16, 8, -16, 18, 23, -9, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 0, 19, 0, 1]], [23, [256, 0, -52, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727249052, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 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': True, 'label': '156.2.c.c', 'level': 156, '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, 13], 'level_radical': 78, 'minimal_twist': '156.2.c.c', 'nf_label': '8.0.121550625.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{5}q^{2}+(1+\\beta _{1}-\\beta _{6})q^{3}+(-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '156.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1470217568584912210, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.833', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0], [1, 1, 0, 0, 0, 0, -1, 0], [0, -1, -1, 0, 0, 0, 1, 0], [-1, -1, -1, 0, 2, 0, 2, 0], [-1, 0, 0, -1, 1, 0, 1, 0], [-1, -1, -1, 0, 0, 0, 2, 0], [1, 1, 0, 1, -1, -1, -1, -1], [-1, -1, -1, 1, 1, 0, 2, 1], [3, 1, 1, -1, 0, 0, -4, -1], [0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 1, -1, -1, 1, -2, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, -2, 0, -2, -1], [0, 1, 3, 1, -1, 2, -2, -1], [-4, -1, -1, 0, 0, 0, 1, 0], [1, 1, 1, 0, -2, 0, -2, 0], [0, -1, 1, 0, 1, 0, -1, -1], [-2, 0, 0, 0, 0, 0, 4, 0], [1, 1, -3, -1, 2, -2, 2, 1], [4, 1, 1, -1, -1, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -2, 2, 1], [-6, -1, -1, 2, 0, 0, 2, 2], [0, 0, 0, 0, 0, -1, 0, 0], [0, 1, 0, 1, -1, 2, 1, -1], [-5, -1, -1, 1, 0, 0, 2, 1], [-2, -2, 0, -2, 2, 4, 2, 2], [-4, -1, 1, 0, 1, 1, -1, 3], [2, 0, 0, 0, 0, 0, -4, 0], [1, 1, 0, 1, -1, 3, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, -1, 1, 0, 0, 4, 1], [1, 1, -3, -2, 2, -4, 2, 2], [2, 0, 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0, 0, 8, 0], [3, 3, 3, 0, -6, 0, -6, 0], [-4, -2, -2, 0, 0, 0, 8, 0], [-6, -6, 2, -4, 4, -8, 4, 4], [22, 8, 8, -16, 0, 0, -16, -16], [2, 2, 4, 6, -6, 12, -6, -6], [-1, -5, -5, 10, 0, 0, 10, 10], [-4, -4, 4, -8, 0, 16, 0, 8], [6, -8, -8, 0, 0, 0, -12, 0], [5, 5, 3, 8, -8, 16, -8, -8], [-15, -7, -7, 14, 0, 0, 14, 14], [-1, -1, -1, 0, 2, 0, 2, 0], [-7, 9, 9, 0, 0, 0, 14, 0], [2, 2, 2, 4, -4, 8, -4, -4], [-3, -3, -3, 0, 0, 0, 6, 0], [-8, -8, 4, -4, 4, -8, 4, 4], [-4, 14, 14, 0, 0, 0, 8, 0], [10, 10, 8, 2, -18, -4, -18, -2], [6, 4, 4, -8, 0, 0, -8, -8], [-3, -3, -7, 4, 10, -8, 10, -4], [12, 12, -8, 4, -4, 8, -4, -4], [-11, -11, 1, -12, 10, 24, 10, 12], [9, 13, 13, 0, 0, 0, -18, 0], [-1, -1, 9, 8, -8, 16, -8, -8], [8, 8, 14, -6, -22, 12, -22, 6], [11, 11, 1, 12, -12, 24, -12, -12], [6, 4, 4, 0, 0, 0, -12, 0], [8, 6, 6, -12, 0, 0, -12, -12]], 'char_orbit_index': 3, 'field_poly': [16, 8, -16, 18, 23, -9, -4, -1, 1], 'hecke_orbit_code': 9007336727249052, 'hecke_ring_character_values': [[79, [-1, 0, 0, 0, 0, 0, 0, 0]], [53, [-1, 0, 0, 0, 0, 0, 0, 0]], [145, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 816, 2448, 1224, 2448, 612, 153, 1224], 'hecke_ring_inverse_denominators': [1, 2, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 1, 1, 0, 1, 1], [0, -1, 0, 1, -1, -1, 1, 0], [4, -2, -1, -1, 3, -3, 1, 1], [-7, -8, 0, 7, 2, 1, 2, 2], [8, -12, -11, 7, -7, -20, 12, -2], [39, -24, -20, -4, 44, -28, -1, 4], [-98, -86, -37, 98, -7, -12, 30, -7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-520, 1696, 704, -1043, -89, 26, 73, -19], [-920, -1320, 5132, 1811, -827, -566, -33, 71], [-296, 2316, 1574, -2323, 157, 76, 165, -49], [808, 432, 2168, 2603, -1319, -530, -81, 131], [1460, -606, -767, 1114, -181, -73, -84, 37], [355, -96, 32, 536, -164, -56, -33, 20], [-2504, 3228, -1858, -4831, 1681, 676, 249, -205]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '156.2.c.c', 'level': 156, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 624, 'analytic_conductor': 1.245666271531974, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [156, 2, [79, 53, 145], [1, 1, 2]], 'conrey_index': 131, 'cusp_dim': 24, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 23], 'hecke_orbit_code': 137472508060, 'hecke_orbit_dims': [2, 2, 8, 12], 'label': '156.2.c', 'level': 156, '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, 13], 'level_radical': 78, 'mf_dim': 32, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 24, 'sturm_bound': 56, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 10, 0, 0, 0, -8, 0, -4, 0, 0, 8, -20, 0, -24, -16, 0, 0, 0, 0, -6, 0, 0, -16, 16, 0, -10, 0, 0, 0, 40, 0, -2, 0, 0, 16, -8, 0, -18, -32, 0, 0, -4, 0, -16, 0, 0, 24, 32, 0, 36, -32, 0, 0, -52, 0, 48, 0, 0, -32, 40, 0, 12, 16, 0, 0, 48, 0, -10, 0, 0, -20, -28, 0, 40, 16, 0, 0, 12, 0, -54, 0, 0, -24, -8, 0, 24, 16, 0, 0, 24, 0, 72, 0, 0, 28, 16, 0, -16, 48, 0, 0, -40, 0, 44, 0, 0, 0, -76, 0, 6, -40, 0, 0, 8, 0, 74, 0, 0, -4, 28, 0, -28, 0, 0, 0, -64, 0, -92, 0, 0, 8, 48, 0, -86, -32, 0, 0, -56, 0, -24, 0, 0, 44, -128, 0, 20, -16, 0, 0, 16, 0, -68, 0, 0, 56, -60, 0, 98, 24, 0, 0, 20, 0, -60, 0, 0, -24, -84, 0, -136, -32, 0, 0, -40, 0, 12, 0, 0, 56, 168, 0, -30, 32, 0, 0, 104, 0, -40, 0, 0, -16, 80, 0, -94, 64, 0, 0, -16, 0, 12, 0, 0, -88, 16, 0, 96, 96, 0, 0, -96, 0, 94, 0, 0, 88, 80, 0, 32, 0, 0, 0, 176, 0, -22, 0, 0, -8, 28, 0, 92, 32, 0, 0, 32, 0, -96, 0, 0, -64, 20, 0, 124, -144, 0, 0, 168, 0, 188, 0, 0, -56, -48, 0, -8, -80, 0, 0, -184, 0, 80, 0, 0, -12, -156, 0, -8, 112, 0, 0, 8, 0, 130, 0, 0, 56, 20, 0, 20, 32, 0, 0, -160, 0, -144, 0, 0, -120, 188, 0, -192, 64, 0, 0, -104, 0, -20, 0, 0, -56, -168, 0, 34, -120, 0, 0, 48, 0, -84, 0, 0, -112, -64, 0, 158, -32, 0, 0, 52, 0, -124, 0, 0, -32, -76, 0, -232, 8, 0, 0, 64, 0, 52, 0, 0, -8, 56, 0, -60, -32, 0, 0, 164, 0, -28, 0, 0, 128, -56, 0, -146, -72, 0, 0, -60, 0, -48, 0, 0, 160, 128, 0, 176, -128, 0, 0, -192, 0, 224, 0, 0, -112, 64, 0, 8, 32, 0, 0, 232, 0, -44, 0, 0, 36, 0, 0, 156, -144, 0, 0, 100, 0, -168, 0, 0, 112, 120, 0, 80, 96, 0, 0, 152, 0, 196, 0, 0, 28, 120, 0, -10, 80, 0, 0, -208, 0, 74, 0, 0, 16, -212, 0, -4, -136, 0, 0, -168, 0, 128, 0, 0, -16, 36, 0, 44, 64, 0, 0, -96, 0, -248, 0, 0, 152, 196, 0, -220, 144, 0, 0, -104, 0, -60, 0, 0, 152, -288, 0, 28, 144, 0, 0, -28, 0, -124, 0, 0, 128, -128, 0, 238, 8, 0, 0, -108, 0, -104, 0, 0, -16, -332, 0, -248, 112, 0, 0, 48, 0, 24, 0, 0, -40, 264, 0, -114, 128, 0, 0, 232, 0, 34, 0, 0, -152, -16, 0, -170, -16, 0, 0, -36, 0, 28, 0, 0, -264, 216, 0, 196, 56, 0, 0, -200, 0, 272, 0, 0, 164, 136, 0, 16, -16, 0, 0, 288, 0, -52, 0, 0, -104, -156, 0, 172, 64, 0, 0, 100, 0, -204, 0, 0, 40, -84, 0, 64, -80, 0, 0, 56, 0, 344, 0, 0, -40, 72, 0, -2, -272, 0, 0, -56, 0, 92, 0, 0, -60, -296, 0, 44, 208, 0, 0, -80, 0, 204, 0, 0, 32, 48, 0, 8, -40, 0, 0, -64, 0, -192, 0, 0, -24, 240, 0, -194, -32, 0, 0, -160, 0, -4, 0, 0, -176, -336, 0, 48, 8, 0, 0, 48, 0, -184, 0, 0, -124, -148, 0, 248, -32, 0, 0, -152, 0, -224, 0, 0, 16, -120, 0, -324, -64, 0, 0, -72, 0, -38, 0, 0, -240, 384, 0, -132, -272, 0, 0, 260, 0, -30, 0, 0, 216, 208, 0, -222, -216, 0, 0, -4, 0, 0, 0, 0, 216, 184, 0, 240, -144, 0, 0, -116, 0, 256, 0, 0, -200, 144, 0, 60, -16, 0, 0, 408, 0, -64, 0, 0, -20, 180, 0, 104, -112, 0, 0, 92, 0, -310, 0, 0, -56, 52, 0, 224, 304, 0, 0, 344, 0, 256, 0, 0, 152, -104, 0, -76, 320, 0, 0, -328, 0, 80, 0, 0, 80, -176, 0, 68, -272, 0, 0, 120, 0, 250, 0, 0, -16, 32, 0, 24, 48, 0, 0, -328, 0, -244, 0, 0, 32, 224, 0, -290, -80, 0, 0, -232, 0, -8, 0, 0, 124, -272, 0, 54, -48, 0, 0, 108, 0, -140, 0, 0, 216, -16, 0, 128, 64, 0, 0, 184, 0, -120, 0, 0, 80, -108, 0, -308, 0, 0, 0, 64, 0, 82, 0, 0, 312, -80, 0, -54, 160, 0, 0, 304, 0, 20, 0, 0, -296, 8, 0, -224, 336, 0, 0, -100, 0, -84, 0, 0, -152, 32, 0, 332, 280, 0, 0, -380, 0, 218, 0, 0, 136, 216, 0, 64, -112, 0, 0, 288, 0, -48, 0, 0, 136, -128, 0, 152, 432, 0, 0, 200, 0, -180, 0, 0, -152, 96, 0, 184, -320, 0, 0, 208, 0, 360, 0, 0, -208, 64, 0, -86, -192, 0, 0, -496, 0, 100, 0, 0, -24, -340, 0, -4, 320, 0, 0, -160, 0, 218, 0, 0, -16, 60, 0, -88, -96, 0, 0, -184, 0, -224, 0, 0, -264, 80, 0, -356, -160, 0, 0, -112, 0, -80, 0, 0, -200, -360, 0, 70, -96, 0, 0, -164, 0, -240, 0, 0, -288, -160, 0, 268, -48, 0, 0, -12, 0, -68, 0, 0, 0, -400, 0, -316, 24, 0, 0, -112, 0, 8, 0, 0, 0, 416, 0, -86, 0, 0, 0, 216, 0, -56, 0, 0, 176, 8, 0, -168, -40, 0, 0, -48, 0, 36, 0, 0, 400, 304, 0, 252, -144, 0, 0, -356], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 132597
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '156.2.c.c', 'target_level': 156, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 132598
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '156.2.c.c', 'target_level': 156, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 132599
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '156.2.c.c', 'target_level': 156, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 132600
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '156.2.c.c', 'target_level': 156, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 132601
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.d.m', 'target_level': 2496, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 132602
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.d.m', 'target_level': 2496, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 132603
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.d.m', 'target_level': 2496, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 132604
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '156.2.c.c', 'source_level': 156, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.d.m', 'target_level': 2496, 'twist_class_label': '156.2.c.c', 'twist_class_level': 156, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 413650
{'charpoly_factorization': [[[4, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 2}
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id: 413651
{'charpoly_factorization': [[[81, 0, -9, 0, -8, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 9007336727249052, 'p': 3}
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id: 413652
{'charpoly_factorization': [[[64, 0, 19, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 5}
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id: 413653
{'charpoly_factorization': [[[4, 0, 11, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 7}
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id: 413654
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007336727249052, 'p': 11}
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id: 413655
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 9007336727249052, 'p': 13}
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id: 413656
{'charpoly_factorization': [[[64, 0, 19, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 17}
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id: 413657
{'charpoly_factorization': [[[28, 0, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 19}
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id: 413658
{'charpoly_factorization': [[[256, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 23}
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id: 413659
{'charpoly_factorization': [[[48, 0, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 29}
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id: 413660
{'charpoly_factorization': [[[28, 0, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 31}
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id: 413661
{'charpoly_factorization': [[[-26, 1, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 37}
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id: 413662
{'charpoly_factorization': [[[64, 0, 124, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 41}
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id: 413663
{'charpoly_factorization': [[[6724, 0, 179, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 43}
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id: 413664
{'charpoly_factorization': [[[16, 0, -13, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 47}
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id: 413665
{'charpoly_factorization': [[[64, 0, 124, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 53}
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id: 413666
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007336727249052, 'p': 59}
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id: 413667
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 9007336727249052, 'p': 61}
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id: 413668
{'charpoly_factorization': [[[28, 0, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 67}
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id: 413669
{'charpoly_factorization': [[[16, 0, -13, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 71}
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id: 413670
{'charpoly_factorization': [[[-96, 6, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 73}
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id: 413671
{'charpoly_factorization': [[[64, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 79}
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id: 413672
{'charpoly_factorization': [[[4096, 0, -208, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 83}
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id: 413673
{'charpoly_factorization': [[[1600, 0, 220, 0, 1], 2]], 'hecke_orbit_code': 9007336727249052, 'p': 89}
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id: 413674
{'charpoly_factorization': [[[-80, -10, 1], 4]], 'hecke_orbit_code': 9007336727249052, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '156.2.c.c', 'level': 156, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29852641
{'hecke_orbit_code': 9007336727249052, 'n': 1, 'trace_an': 8}
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id: 29852642
{'hecke_orbit_code': 9007336727249052, 'n': 2, 'trace_an': 0}
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id: 29852643
{'hecke_orbit_code': 9007336727249052, 'n': 3, 'trace_an': 0}
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id: 29852644
{'hecke_orbit_code': 9007336727249052, 'n': 4, 'trace_an': 4}
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id: 29852645
{'hecke_orbit_code': 9007336727249052, 'n': 5, 'trace_an': 0}
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id: 29852646
{'hecke_orbit_code': 9007336727249052, 'n': 6, 'trace_an': -5}
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id: 29852647
{'hecke_orbit_code': 9007336727249052, 'n': 7, 'trace_an': 0}
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id: 29852648
{'hecke_orbit_code': 9007336727249052, 'n': 8, 'trace_an': 0}
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id: 29852649
{'hecke_orbit_code': 9007336727249052, 'n': 9, 'trace_an': 2}
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id: 29852650
{'hecke_orbit_code': 9007336727249052, 'n': 10, 'trace_an': 6}
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id: 29852651
{'hecke_orbit_code': 9007336727249052, 'n': 11, 'trace_an': 0}
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id: 29852652
{'hecke_orbit_code': 9007336727249052, 'n': 12, 'trace_an': 15}
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id: 29852653
{'hecke_orbit_code': 9007336727249052, 'n': 13, 'trace_an': 8}
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id: 29852654
{'hecke_orbit_code': 9007336727249052, 'n': 14, 'trace_an': 0}
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id: 29852655
{'hecke_orbit_code': 9007336727249052, 'n': 15, 'trace_an': 0}
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id: 29852656
{'hecke_orbit_code': 9007336727249052, 'n': 16, 'trace_an': -28}
-
id: 29852657
{'hecke_orbit_code': 9007336727249052, 'n': 17, 'trace_an': 0}
-
id: 29852658
{'hecke_orbit_code': 9007336727249052, 'n': 18, 'trace_an': 3}
-
id: 29852659
{'hecke_orbit_code': 9007336727249052, 'n': 19, 'trace_an': 0}
-
id: 29852660
{'hecke_orbit_code': 9007336727249052, 'n': 20, 'trace_an': 0}
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id: 29852661
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