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mf_newforms • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'cm_discs': [], 'conrey_index': 271, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [196, 14, 1]], [11, [36, -6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274945016618, '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, 9, 3, 1, 3, 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': '810.4.e.a', 'level': 810, '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, 5], 'level_radical': 30, 'minimal_twist': '90.4.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-2+2\\zeta_{6})q^{2}-4\\zeta_{6}q^{4}-5\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '810.4.e', 'trace_display': [-2, 0, -5, -14], 'trace_hash': 1985478923386419068, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.937', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.190', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-2, 2], [0, 0], [0, -4], [0, -5], [0, 0], [-14, 14], [8, 0], [0, 0], [10, 0], [6, -6], [0, 0], [0, -68], [0, -28], [0, 0], [-16, 16], [-78, 0], [0, 0], [44, 0], [-20, 20], [0, 0], [0, 12], [0, 120], [0, 0], [-25, 25], [136, 0], [0, 0], [56, 0], [126, -126], [0, 0], [0, 244], [0, -32], [0, 0], [156, -156], [70, 0], [0, 0], [-304, 0], [-88, 88], [0, 0], [0, -40], [0, -480], [0, 0], [-104, 104], [-24, 0], [0, 0], [-240, 0], [600, -600], [0, 0], [0, 147], [0, -50], [0, 0], [-272, 272], [258, 0], [0, 0], [-30, 0], [-112, 112], [0, 0], [0, 252], [0, 534], [0, 0], [-362, 362], [-488, 0], [0, 0], [64, 0], [-340, 340], [0, 0], [0, 268], [0, 312], [0, 0], [-140, 140], [972, 0], [0, 0], [470, 0], [608, -608], [0, 0], [0, -176], [0, 84], [0, 0], [-1244, 1244], [80, 0], [0, 0], [960, 0], [396, -396], [0, 0], [0, 390], [0, -208], [0, 0], [48, -48], [972, 0], [0, 0], [952, 0], [480, -480], [0, 0], [0, 1200], [0, -220], [0, 0], [46, -46], [-294, 0], [0, 0], [100, 0]], 'ap': [[-2, 2], [0, 0], [0, -5], [-14, 14], [6, -6], [0, -68], [-78, 0], [44, 0], [0, 120], [126, -126], [0, 244], [-304, 0], [0, -480], [-104, 104], [600, -600], [258, 0], [0, 534], [-362, 362], [0, 268], [972, 0], [470, 0], [-1244, 1244], [396, -396], [972, 0], [46, -46], [-1506, 1506], [0, 1474], [-924, 0], [698, 0], [0, -222], [-1906, 0], [0, 2874], [-798, 798], [0, 700], [0, 114], [-1064, 1064], [0, 1948], [2060, 0], [0, -1248], [-1146, 1146], [1146, 0], [-118, 0], [1692, -1692], [0, -3350], [3606, 0], [2696, 0], [0, 4], [1162, -1162], [-2400, 2400], [0, 2314], [18, 0], [0, -5868], [4330, -4330], [-498, 0], [0, 642], [-7968, 7968], [4218, 0], [848, 0], [1504, -1504], [-1308, 1308], [0, 5932], [0, 5226], [4448, 0], [0, -9132], [2170, -2170], [7674, -7674], [-9596, 9596], [0, -12158], [0, 10320], [2158, -2158], [-330, 330], [8664, 0], [-3782, 3782], [0, -11276], [980, 0], [0, -4200], [13338, -13338], [-7192, 0], [0, -2316], [0, 12358], [0, 3306], [14506, -14506], [6480, 0], [11894, 0], [12688, -12688], [4968, -4968], [11508, 0], [-1082, 1082], [-11238, 11238], [0, 2302], [-15876, 0], [4644, -4644], [2426, 0], [0, 234], [0, -14204], [-4920, 0], [0, -4458], [-4212, 0], [-11212, 0], [14018, 0], [-18200, 18200], [11826, 0], [0, -2952], [3084, -3084], [0, 4756], [-11014, 0], [-852, 852], [-15546, 0], [0, -8616], [-17510, 17510], [0, 13894], [-6496, 0], [0, -570], [2140, -2140], [14660, 0], [-456, 456], [0, 23452], [-7224, 0], [0, 19146], [27810, -27810], [0, 30598], [3778, -3778], [-27198, 27198], [-32316, 0], [-29324, 29324], [-22782, 0], [-26054, 26054], [5976, 0], [5110, -5110], [0, -17336], [-13660, 0], [0, 1320], [0, -15860], [22160, 0], [0, 13116], [0, -32846], [11982, 0], [0, 21076], [0, 22086], [-21384, 0], [5228, 0], [-38010, 38010], [0, -38642], [15432, 0], [-3886, 0], [27552, -27552], [-15104, 15104], [-12306, 12306], [0, 47500], [-4272, 0], [0, 27796], [39996, 0], [-3772, 0], [0, -5784], [8440, -8440], [-31920, 31920], [34652, 0], [1404, -1404], [-7654, 0], [0, 11298], [28968, -28968], [-46410, 0], [0, 41506], [18246, 0], [0, 25998], [14616, -14616], [-2968, 0], [9052, -9052]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 274945016618, 'hecke_ring_character_values': [[731, [0, -1]], [487, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '810.4.e.a', 'level': 810, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'conrey_index': 271, 'cusp_dim': 924, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 274945016618, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '810.4.e', 'level': 810, '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, 5], 'level_radical': 30, 'mf_dim': 1020, 'mf_new_dim': 96, 'num_forms': 34, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 648, 'trace_bound': 11, 'trace_display': [0, 0, 0, 120], 'traces': [96, 0, 0, -192, 0, 0, 120, 0, 0, 0, 0, 0, -240, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 513586
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '90.4.a.b', 'target_level': 90, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 513587
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '90.4.a.e', 'target_level': 90, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513588
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.4.a.c', 'target_level': 450, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 513589
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '450.4.a.m', 'target_level': 450, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513590
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '450.4.c.f', 'target_level': 450, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 513591
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.4.c.g', 'target_level': 450, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 513592
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.4.a.e', 'target_level': 720, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513593
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '720.4.a.t', 'target_level': 720, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 513594
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '810.4.e.a', 'target_level': 810, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 513595
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '810.4.e.a', 'target_level': 810, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513596
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '810.4.e.u', 'target_level': 810, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 513597
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '810.4.e.a', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '810.4.e.u', 'target_level': 810, 'twist_class_label': '90.4.a.b', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1357850
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 2}
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id: 1357851
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 3}
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id: 1357852
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 5}
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id: 1357853
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 7}
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id: 1357854
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 11}
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id: 1357855
{'charpoly_factorization': [[[4624, 68, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 13}
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id: 1357856
{'charpoly_factorization': [[[78, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 17}
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id: 1357857
{'charpoly_factorization': [[[-44, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 19}
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id: 1357858
{'charpoly_factorization': [[[14400, -120, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 23}
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id: 1357859
{'charpoly_factorization': [[[15876, -126, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 29}
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id: 1357860
{'charpoly_factorization': [[[59536, -244, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 31}
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id: 1357861
{'charpoly_factorization': [[[304, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 37}
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id: 1357862
{'charpoly_factorization': [[[230400, 480, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 41}
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id: 1357863
{'charpoly_factorization': [[[10816, 104, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 43}
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id: 1357864
{'charpoly_factorization': [[[360000, -600, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 47}
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id: 1357865
{'charpoly_factorization': [[[-258, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 53}
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id: 1357866
{'charpoly_factorization': [[[285156, -534, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 59}
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id: 1357867
{'charpoly_factorization': [[[131044, 362, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 61}
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id: 1357868
{'charpoly_factorization': [[[71824, -268, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 67}
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id: 1357869
{'charpoly_factorization': [[[-972, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 71}
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id: 1357870
{'charpoly_factorization': [[[-470, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 73}
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id: 1357871
{'charpoly_factorization': [[[1547536, 1244, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 79}
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id: 1357872
{'charpoly_factorization': [[[156816, -396, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 83}
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id: 1357873
{'charpoly_factorization': [[[-972, 1], 2]], 'hecke_orbit_code': 274945016618, 'p': 89}
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id: 1357874
{'charpoly_factorization': [[[2116, -46, 1], 1]], 'hecke_orbit_code': 274945016618, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '810.4.e.a', 'level': 810, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 7816692
{'hecke_orbit_code': 274945016618, 'n': 1, 'trace_an': 2}
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id: 7816693
{'hecke_orbit_code': 274945016618, 'n': 2, 'trace_an': -2}
-
id: 7816694
{'hecke_orbit_code': 274945016618, 'n': 3, 'trace_an': 0}
-
id: 7816695
{'hecke_orbit_code': 274945016618, 'n': 4, 'trace_an': -4}
-
id: 7816696
{'hecke_orbit_code': 274945016618, 'n': 5, 'trace_an': -5}
-
id: 7816697
{'hecke_orbit_code': 274945016618, 'n': 6, 'trace_an': 0}
-
id: 7816698
{'hecke_orbit_code': 274945016618, 'n': 7, 'trace_an': -14}
-
id: 7816699
{'hecke_orbit_code': 274945016618, 'n': 8, 'trace_an': 16}
-
id: 7816700
{'hecke_orbit_code': 274945016618, 'n': 9, 'trace_an': 0}
-
id: 7816701
{'hecke_orbit_code': 274945016618, 'n': 10, 'trace_an': 20}
-
id: 7816702
{'hecke_orbit_code': 274945016618, 'n': 11, 'trace_an': 6}
-
id: 7816703
{'hecke_orbit_code': 274945016618, 'n': 12, 'trace_an': 0}
-
id: 7816704
{'hecke_orbit_code': 274945016618, 'n': 13, 'trace_an': -68}
-
id: 7816705
{'hecke_orbit_code': 274945016618, 'n': 14, 'trace_an': -28}
-
id: 7816706
{'hecke_orbit_code': 274945016618, 'n': 15, 'trace_an': 0}
-
id: 7816707
{'hecke_orbit_code': 274945016618, 'n': 16, 'trace_an': -16}
-
id: 7816708
{'hecke_orbit_code': 274945016618, 'n': 17, 'trace_an': -156}
-
id: 7816709
{'hecke_orbit_code': 274945016618, 'n': 18, 'trace_an': 0}
-
id: 7816710
{'hecke_orbit_code': 274945016618, 'n': 19, 'trace_an': 88}
-
id: 7816711
{'hecke_orbit_code': 274945016618, 'n': 20, 'trace_an': -20}
-
id: 7816712
{'hecke_orbit_code': 274945016618, 'n': 21, 'trace_an': 0}
-
id: 7816713
{'hecke_orbit_code': 274945016618, 'n': 22, 'trace_an': 12}
-
id: 7816714
{'hecke_orbit_code': 274945016618, 'n': 23, 'trace_an': 120}
-
id: 7816715
{'hecke_orbit_code': 274945016618, 'n': 24, 'trace_an': 0}
-
id: 7816716
{'hecke_orbit_code': 274945016618, 'n': 25, 'trace_an': -25}
-
id: 7816717
{'hecke_orbit_code': 274945016618, 'n': 26, 'trace_an': 272}
-
id: 7816718
{'hecke_orbit_code': 274945016618, 'n': 27, 'trace_an': 0}
-
id: 7816719
{'hecke_orbit_code': 274945016618, 'n': 28, 'trace_an': 112}
-
id: 7816720
{'hecke_orbit_code': 274945016618, 'n': 29, 'trace_an': 126}
-
id: 7816721
{'hecke_orbit_code': 274945016618, 'n': 30, 'trace_an': 0}
-
id: 7816722
{'hecke_orbit_code': 274945016618, 'n': 31, 'trace_an': 244}
-
id: 7816723
{'hecke_orbit_code': 274945016618, 'n': 32, 'trace_an': -32}
-
id: 7816724
{'hecke_orbit_code': 274945016618, 'n': 33, 'trace_an': 0}
-
id: 7816725
{'hecke_orbit_code': 274945016618, 'n': 34, 'trace_an': 156}
-
id: 7816726
{'hecke_orbit_code': 274945016618, 'n': 35, 'trace_an': 140}
-
id: 7816727
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id: 7816931
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id: 7816932
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id: 7816933
{'hecke_orbit_code': 274945016618, 'n': 883, 'trace_an': -7544}
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id: 7816934
{'hecke_orbit_code': 274945016618, 'n': 887, 'trace_an': -5784}
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id: 7816935
{'hecke_orbit_code': 274945016618, 'n': 907, 'trace_an': 8440}
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id: 7816936
{'hecke_orbit_code': 274945016618, 'n': 911, 'trace_an': -31920}
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id: 7816937
{'hecke_orbit_code': 274945016618, 'n': 919, 'trace_an': 69304}
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id: 7816938
{'hecke_orbit_code': 274945016618, 'n': 929, 'trace_an': 1404}
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id: 7816939
{'hecke_orbit_code': 274945016618, 'n': 937, 'trace_an': -15308}
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id: 7816940
{'hecke_orbit_code': 274945016618, 'n': 941, 'trace_an': 11298}
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id: 7816941
{'hecke_orbit_code': 274945016618, 'n': 947, 'trace_an': 28968}
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id: 7816942
{'hecke_orbit_code': 274945016618, 'n': 953, 'trace_an': -92820}
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id: 7816943
{'hecke_orbit_code': 274945016618, 'n': 961, 'trace_an': -29745}
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id: 7816944
{'hecke_orbit_code': 274945016618, 'n': 967, 'trace_an': 41506}
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id: 7816945
{'hecke_orbit_code': 274945016618, 'n': 971, 'trace_an': 36492}
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id: 7816946
{'hecke_orbit_code': 274945016618, 'n': 977, 'trace_an': 25998}
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id: 7816947
{'hecke_orbit_code': 274945016618, 'n': 983, 'trace_an': 14616}
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id: 7816948
{'hecke_orbit_code': 274945016618, 'n': 991, 'trace_an': -5936}
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id: 7816949
{'hecke_orbit_code': 274945016618, 'n': 997, 'trace_an': 9052}