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{'Nk2': 28800, 'analytic_conductor': 106.2034380103331, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-18, 1]], [11, [-16, 1]], [17, [6, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389260855048, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1800.4.a.bd', 'level': 1800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '40.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+18q^{7}+2^{4}q^{11}+6q^{13}-6q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1800.4.a', 'trace_display': [0, 0, 0, 18], 'trace_hash': 861772889661599211, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [18], [0], [0], [0], [16], [0], [6], [0], [0], [0], [-6], [0], [-124], [0], [0], [0], [42], [0], [0], [0], [0], [0], [-142], [0], [-188], [0], [0], [0], [0], [0], [-202], [0], [0], [0], [-54], [0], [-66], [0], [0], [0], [38], [0], [-19], [0], [0], [0], [738], [0], [0], [0], [0], [0], [-564], [0], [-262], [0], [0], [0], [0], [0], [554], [0], [0], [0], [-140], [0], [-882], [0], [0], [0], [288], [0], [-1160], [0], [0], [0], [642], [0], [0], [0], [0], [0], [854], [0], [108], [0], [0], [0], [0], [0], [478], [0], [0], [0]], 'ap': [[0], [0], [0], [18], [16], [6], [-6], [-124], [42], [-142], [-188], [-202], [-54], [-66], [38], [738], [-564], [-262], [554], [-140], [-882], [-1160], [642], [854], [478], [1794], [-642], [-850], [666], [-1446], [1154], [368], [-670], [-572], [-1730], [1324], [-2946], [-2098], [-866], [-1678], [1620], [2510], [372], [-2938], [2234], [-3048], [4896], [5302], [-3778], [-3034], [-3478], [-1560], [-3218], [-688], [2170], [2274], [-7146], [2604], [5150], [-5270], [-3434], [-9878], [-8054], [-5492], [422], [6194], [7688], [1438], [8838], [-7810], [5906], [-8904], [7370], [734], [10300], [2682], [-6114], [7174], [-10498], [-1810], [3396], [-14974], [13540], [-15426], [-10472], [722], [11898], [790], [3418], [7534], [-14314], [7016], [-15190], [12624], [-2492], [11714], [5618], [-13770], [-6986], [11958], [4194], [-5382], [15418], [5778], [6024], [-554], [-2386], [-846], [-22304], [5510], [8234], [1046], [-3862], [13964], [-14884], [-17838], [7814], [774], [-23422], [13508], [-6222], [15566], [2234], [13282], [-27416], [-25626], [11702], [28008], [7682], [14270], [29324], [29258], [19076], [22670], [23206], [-1854], [6474], [20354], [-1886], [9462], [24512], [-36242], [17718], [6726], [41722], [-16720], [33286], [38978], [-1916], [-2374], [-32722], [-5390], [43238], [-11010], [74], [-17460], [17072], [14826], [-3354], [15434], [-9306], [12202], [-17478], [-10920], [10834], [-36862], [5380], [-31266], [-28334], [-14886], [29444], [-52682], [59916], [3022], [13776], [50854], [45064], [-24238], [-34778], [10474], [2026], [15328], [43790], [-46254], [45898], [-29910], [16886], [-41402], [16814], [-57332], [43094], [-24702], [-56232], [56294], [71934], [75178], [1070], [-66386], [40034], [-61134], [52562], [49052], [-2194], [-21870], [-27588], [-48046], [-46304], [64938], [-53898], [-55400], [6182], [54990], [-41186], [-12530], [-63888], [19494], [-39278], [-56114], [-55362], [30378], [10178], [-92864], [-54226], [39998], [96782], [-84942], [-18126], [-22464], [-67462], [8280], [20086], [-55756], [-43972], [80282], [11494], [-44418], [-10330], [6098], [-44060], [10172], [-57262], [-42128], [-22682], [-56290], [-76990], [-52104], [-22414], [30984], [-92540], [33554], [-39114], [-113298], [78774], [73150], [30962], [66636], [25310], [24874], [-122798], [-89578], [-23770], [132366], [-42266], [-38058], [-31350], [100564], [49746], [72486], [-3602], [16122], [91014], [-69238], [45974], [25168], [134390], [7510], [48918], [-59266], [26710], [103296], [-148374], [-78268], [-14682], [98750], [11618], [-26020], [129894], [130602], [-41136], [34282], [33430], [-5138], [-75102], [97344], [-60050], [-42186], [25396], [155802], [108900], [-19846], [68222], [2754], [-101352], [26298], [6928], [118046], [58694], [95390], [-76296], [-27914], [177258], [40298], [77150], [-26074], [-149554], [135450], [163164], [-21044], [143078], [-147766], [-124056], [-181362], [-109210], [-33506], [64050], [-130754], [-61516], [-71650], [758], [134034], [-46966], [145986], [117800], [44754], [196864], [-62514], [-1942], [144090], [-76218], [-22686], [42070], [-127142], [-306], [-115284], [-43446], [-166004], [-159646], [162762], [-147876], [-79718], [20160], [71206], [-21130], [174622], [59734], [-119230], [225288], [-106392], [167858], [200890], [-45010], [198630], [-126570], [167324], [-22718], [102534], [-146342], [185870], [55878], [112928], [208604], [40082], [131998], [-30068], [-43466], [55500], [-210420], [-214418], [22746], [-126962], [-38422], [34882], [-209222], [252370], [179396], [144586], [46748], [91174], [122446], [-74666], [169718], [-122990], [277276], [167162], [-64220], [-63298], [-99464], [-48138], [32208], [58926], [183850], [-248326], [232586], [203010], [-41730], [71276], [-120466], [-237042], [164062], [35236], [122702], [-171782], [145034], [12400], [50046], [-253958], [93984], [177938], [-164510], [69802], [163430], [-209514], [222886], [77628], [70502], [21714], [-246470], [105266], [129512], [-289784]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 130604389260855048, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1800.4.a.bd', 'level': 1800, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [5, 1]], 9, 8], [[[2, -1], [3, -1], [5, -1]], 11, 8], [[[2, 1], [3, -1], [5, -1]], 12, 9], [[[2, -1], [3, 1], [5, 1]], 7, 5], [[[2, -1], [3, 1], [5, -1]], 7, 2], [[[2, 1], [3, 1], [5, -1]], 7, 2], [[[2, 1], [3, 1], [5, 1]], 7, 5], [[[2, -1], [3, -1], [5, 1]], 11, 10]], 'ALdims': [7, 7, 9, 12, 7, 7, 11, 11], 'Nk2': 28800, 'analytic_conductor': 106.2034380103331, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1032, 'dim': 71, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67110664, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '1800.4.a', 'level': 1800, 'level_is_prime': False, 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0, -356336, 0, -462318, 0, 0, 0, 340470, 0, -993352, 0, 0, 0, 360192, 0, 0, 0, 0, 0, -725236, 0, -889018, 0, 0, 0, 0, 0, -1898444, 0, 0, 0, 1484692, 0, -237592, 0, 0, 0, 444736, 0, -1429630, 0, 0, 0, -1083636, 0, 0, 0, 0, 0, 975188, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 818807
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '40.4.a.c', 'target_level': 40, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 818808
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '80.4.a.a', 'target_level': 80, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 818809
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.a.a', 'target_level': 200, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818810
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '200.4.c.a', 'target_level': 200, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 818811
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '320.4.a.a', 'target_level': 320, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 818812
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '320.4.a.n', 'target_level': 320, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 818813
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '360.4.a.i', 'target_level': 360, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818814
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '400.4.a.u', 'target_level': 400, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818815
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.4.c.a', 'target_level': 400, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 818816
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '720.4.a.ba', 'target_level': 720, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 818817
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1280.4.d.b', 'target_level': 1280, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '240.t', 'twisting_char_orbit': 20, 'weight': 4}
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id: 818818
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1280.4.d.o', 'target_level': 1280, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '240.bm', 'twisting_char_orbit': 39, 'weight': 4}
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id: 818819
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.4.a.a', 'target_level': 1600, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 818820
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '1600.4.a.ca', 'target_level': 1600, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 818821
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '1800.4.a.bd', 'target_level': 1800, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 818822
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1800.4.f.n', 'target_level': 1800, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 818823
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '1800.4.a.bd', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1960.4.a.a', 'target_level': 1960, 'twist_class_label': '40.4.a.c', 'twist_class_level': 40, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2216375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 2}
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id: 2216376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 3}
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id: 2216377
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 5}
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id: 2216378
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 7}
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id: 2216379
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 11}
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id: 2216380
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 13}
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id: 2216381
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 17}
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id: 2216382
{'charpoly_factorization': [[[124, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 19}
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id: 2216383
{'charpoly_factorization': [[[-42, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 23}
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id: 2216384
{'charpoly_factorization': [[[142, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 29}
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id: 2216385
{'charpoly_factorization': [[[188, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 31}
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id: 2216386
{'charpoly_factorization': [[[202, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 37}
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id: 2216387
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 41}
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id: 2216388
{'charpoly_factorization': [[[66, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 43}
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id: 2216389
{'charpoly_factorization': [[[-38, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 47}
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id: 2216390
{'charpoly_factorization': [[[-738, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 53}
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id: 2216391
{'charpoly_factorization': [[[564, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 59}
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id: 2216392
{'charpoly_factorization': [[[262, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 61}
-
id: 2216393
{'charpoly_factorization': [[[-554, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 67}
-
id: 2216394
{'charpoly_factorization': [[[140, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 71}
-
id: 2216395
{'charpoly_factorization': [[[882, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 73}
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id: 2216396
{'charpoly_factorization': [[[1160, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 79}
-
id: 2216397
{'charpoly_factorization': [[[-642, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 83}
-
id: 2216398
{'charpoly_factorization': [[[-854, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 89}
-
id: 2216399
{'charpoly_factorization': [[[-478, 1], 1]], 'hecke_orbit_code': 130604389260855048, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '1800.4.a.bd', 'level': 1800, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 265287000
{'hecke_orbit_code': 130604389260855048, 'n': 1, 'trace_an': 1}
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id: 265287001
{'hecke_orbit_code': 130604389260855048, 'n': 2, 'trace_an': 0}
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id: 265287002
{'hecke_orbit_code': 130604389260855048, 'n': 3, 'trace_an': 0}
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id: 265287003
{'hecke_orbit_code': 130604389260855048, 'n': 4, 'trace_an': 0}
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id: 265287004
{'hecke_orbit_code': 130604389260855048, 'n': 5, 'trace_an': 0}
-
id: 265287005
{'hecke_orbit_code': 130604389260855048, 'n': 6, 'trace_an': 0}
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id: 265287006
{'hecke_orbit_code': 130604389260855048, 'n': 7, 'trace_an': 18}
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id: 265287007
{'hecke_orbit_code': 130604389260855048, 'n': 8, 'trace_an': 0}
-
id: 265287008
{'hecke_orbit_code': 130604389260855048, 'n': 9, 'trace_an': 0}
-
id: 265287009
{'hecke_orbit_code': 130604389260855048, 'n': 10, 'trace_an': 0}
-
id: 265287010
{'hecke_orbit_code': 130604389260855048, 'n': 11, 'trace_an': 16}
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id: 265287011
{'hecke_orbit_code': 130604389260855048, 'n': 12, 'trace_an': 0}
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id: 265287012
{'hecke_orbit_code': 130604389260855048, 'n': 13, 'trace_an': 6}
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id: 265287013
{'hecke_orbit_code': 130604389260855048, 'n': 14, 'trace_an': 0}
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id: 265287014
{'hecke_orbit_code': 130604389260855048, 'n': 15, 'trace_an': 0}
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id: 265287015
{'hecke_orbit_code': 130604389260855048, 'n': 16, 'trace_an': 0}
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id: 265287016
{'hecke_orbit_code': 130604389260855048, 'n': 17, 'trace_an': -6}
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id: 265287017
{'hecke_orbit_code': 130604389260855048, 'n': 18, 'trace_an': 0}
-
id: 265287018
{'hecke_orbit_code': 130604389260855048, 'n': 19, 'trace_an': -124}
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id: 265287019
{'hecke_orbit_code': 130604389260855048, 'n': 20, 'trace_an': 0}
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id: 265287020
{'hecke_orbit_code': 130604389260855048, 'n': 21, 'trace_an': 0}
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id: 265287021
{'hecke_orbit_code': 130604389260855048, 'n': 22, 'trace_an': 0}
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id: 265287022
{'hecke_orbit_code': 130604389260855048, 'n': 23, 'trace_an': 42}
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id: 265287023
{'hecke_orbit_code': 130604389260855048, 'n': 24, 'trace_an': 0}
-
id: 265287024
{'hecke_orbit_code': 130604389260855048, 'n': 25, 'trace_an': 0}
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id: 265287025
{'hecke_orbit_code': 130604389260855048, 'n': 26, 'trace_an': 0}
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id: 265287993
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