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mf_newforms • Show schema
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{'Nk2': 12800, 'analytic_conductor': 47.20152800459249, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [800, 1, [351, 101, 577], [1, 1, 1]], 'cm_discs': [-4], 'conrey_index': 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': [[3, [0, 1]], [11, [0, 1]], [13, [-18, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998203962144, 'hecke_ring_generator_nbound': 1, '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, 4, 2, -1, 2, -4]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '800.4.a.f', 'level': 800, 'level_is_powerful': True, '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, 5], 'level_radical': 10, 'minimal_twist': '32.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3^{3}q^{9}+18q^{13}+94q^{17}-130q^{29}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.1.d1', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '800.4.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 229616637406071012, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [0], [0], [-27], [0], [0], [0], [18], [0], [0], [0], [94], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-130], [0], [0], [0], [0], [0], [0], [0], [-214], [0], [0], [0], [-230], [0], [0], [0], [0], [0], [0], [0], [-343], [0], [0], [0], [-518], [0], [0], [0], [0], [0], [0], [0], [830], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1098], [0], [0], [0], [0], [0], [0], [0], [729], [0], [0], [0], [0], [0], [0], [0], [-1670], [0], [0], [0], [0], [0], [0], [0], [-594], [0], [0], [0]], 'ap': [[0], [0], [0], [0], [0], [18], [94], [0], [0], [-130], [0], [-214], [-230], [0], [0], [-518], [0], [830], [0], [0], [-1098], [0], [0], [-1670], [-594], [598], [0], [0], [-1746], [-2002], [0], [0], [1606], [0], [-3514], [0], [-286], [0], [0], [4082], [0], [3942], [0], [-5362], [-1174], [0], [0], [0], [0], [6390], [598], [0], [-5310], [0], [1534], [0], [3406], [0], [-9126], [-7430], [0], [9418], [0], [0], [6838], [10274], [0], [12366], [0], [9470], [-3298], [0], [0], [12922], [0], [0], [374], [-9614], [-2398], [7146], [0], [-10890], [0], [4862], [0], [0], [16114], [-16506], [2318], [0], [0], [0], [0], [0], [0], [0], [14270], [23738], [0], [-5922], [0], [8626], [0], [-26806], [0], [3454], [0], [15502], [0], [-17030], [0], [-23222], [-15466], [0], [0], [28850], [0], [0], [-33358], [0], [-25850], [4462], [-4054], [0], [0], [20030], [-36810], [0], [0], [-38718], [0], [0], [0], [-35046], [31882], [9650], [-39542], [0], [41954], [-23270], [0], [-1850], [0], [0], [23166], [0], [20378], [-45994], [0], [0], [42514], [-7150], [0], [0], [0], [0], [0], [30866], [-51946], [-31378], [0], [56758], [0], [0], [56606], [0], [0], [-52886], [63810], [42458], [0], [-56738], [0], [-18378], [0], [-30470], [0], [40982], [0], [65806], [0], [0], [71082], [-4234], [0], [41350], [-66654], [0], [25434], [0], [-59202], [0], [0], [34430], [0], [75478], [-55150], [39042], [11966], [0], [84910], [0], [-60966], [85410], [0], [73634], [0], [0], [-72310], [0], [7774], [70150], [0], [0], [0], [-38630], [0], [14818], [0], [100418], [-97290], [0], [-86350], [0], [0], [-99866], [-87098], [0], [0], [0], [25938], [0], [0], [-31990], [0], [0], [-7326], [59962], [0], [0], [0], [0], [0], [17710], [-116978], [0], [0], [0], [0], [0], [-127134], [-9598], [0], [28746], [-108238], [0], [95238], [0], [66154], [-134026], [0], [0], [-123210], [29378], [-133906], [0], [-15890], [102938], [0], [-137462], [107822], [0], [-126522], [0], [58734], [0], [0], [52670], [35210], [0], [0], [0], [0], [-107818], [0], [0], [83358], [89626], [0], [-153374], [-56210], [0], [142502], [0], [-133198], [133214], [0], [174938], [0], [0], [121862], [-152366], [0], [0], [0], [103086], [0], [-181170], [0], [-170102], [0], [185350], [39442], [0], [0], [164970], [0], [0], [130878], [196466], [0], [176726], [63230], [0], [72742], [167490], [0], [0], [0], [-206518], [-129330], [136994], [0], [0], [0], [0], [98494], [189598], [113130], [0], [219098], [-206986], [179446], [0], [-34142], [0], [-183690], [0], [0], [-28454], [0], [225414], [-157010], [0], [233350], [126022], [0], [0], [-230594], [0], [224714], [-229622], [0], [0], [0], [175318], [227506], [0], [186410], [0], [0], [0], [-104314], [0], [-248094], [0], [0], [225182], [-94846], [260406], [-162338], [-43258], [0], [-160034], [0], [0], [0], [151866], [0], [0], [-244926], [-71158], [0], [0], [0], [-48618], [0], [-80870], [0], [286150], [-73186], [-112882], [0], [288086], [245174], [0], [-205326], [117698], [0], [0], [-293618], [-146534], [0], [0], [186966], [-271282], [0], [0], [-300514], [0], [-265954], [-17494], [0], [0], [-251962], [-319406], [0], [-253894], [0], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998203962144, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '800.4.a.f', 'level': 800, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [15, 14, 12, 16], 'Nk2': 12800, 'analytic_conductor': 47.20152800459249, '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': [800, 1, [351, 101, 577], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 336, 'dim': 57, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 67109664, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '800.4.a', 'level': 800, 'level_is_powerful': True, '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, 5], 'level_radical': 10, 'mf_dim': 384, 'mf_new_dim': 57, 'num_forms': 28, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [57, 0, 0, 0, 0, 0, 0, 0, 533, 0, 0, 0, -26, 0, 0, 0, 2, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, -592, 0, 0, 0, 174, 0, 0, 0, -710, 0, 0, 0, 0, 0, 0, 0, 2737, 0, 0, 0, 1086, 0, 0, 0, -1056, 0, 0, 0, 1670, 0, 0, 0, 0, 0, 0, 0, 1312, 0, 0, 0, 2250, 0, 0, 0, 2224, 0, 0, 0, 8689, 0, 0, 0, 0, 0, 0, 0, 1802, 0, 0, 0, -1648, 0, 0, 0, 2114, 0, 0, 0, 3958, 0, 0, 0, 0, 0, 0, 0, -1314, 0, 0, 0, 290, 0, 0, 0, -4498, 0, 0, 0, 6253, 0, 0, 0, 0, 0, 0, 0, -5152, 0, 0, 0, 3296, 0, 0, 0, -2902, 0, 0, 0, 10016, 0, 0, 0, 0, 0, 0, 0, 2374, 0, 0, 0, 9402, 0, 0, 0, 2390, 0, 0, 0, 4464, 0, 0, 0, 0, 0, 0, 0, 19247, 0, 0, 0, -9338, 0, 0, 0, 7872, 0, 0, 0, -8298, 0, 0, 0, 0, 0, 0, 0, -3360, 0, 0, 0, -2254, 0, 0, 0, -9634, 0, 0, 0, 12344, 0, 0, 0, 0, 0, 0, 0, 5560, 0, 0, 0, 80, 0, 0, 0, -12784, 0, 0, 0, -14812, 0, 0, 0, 0, 0, 0, 0, 17742, 0, 0, 0, -6, 0, 0, 0, 27488, 0, 0, 0, -10510, 0, 0, 0, 0, 0, 0, 0, 14328, 0, 0, 0, 4752, 0, 0, 0, 14770, 0, 0, 0, 2126, 0, 0, 0, 0, 0, 0, 0, -46946, 0, 0, 0, -1232, 0, 0, 0, -4594, 0, 0, 0, -11630, 0, 0, 0, 0, 0, 0, 0, -3637, 0, 0, 0, -6482, 0, 0, 0, -37088, 0, 0, 0, -42224, 0, 0, 0, 0, 0, 0, 0, -23872, 0, 0, 0, -7382, 0, 0, 0, 9190, 0, 0, 0, -23544, 0, 0, 0, 0, 0, 0, 0, 31472, 0, 0, 0, -20586, 0, 0, 0, 25426, 0, 0, 0, -10640, 0, 0, 0, 0, 0, 0, 0, -24298, 0, 0, 0, -8766, 0, 0, 0, -61968, 0, 0, 0, 14677, 0, 0, 0, 0, 0, 0, 0, -80310, 0, 0, 0, 19182, 0, 0, 0, -36460, 0, 0, 0, -22496, 0, 0, 0, 0, 0, 0, 0, 14646, 0, 0, 0, 29392, 0, 0, 0, 83974, 0, 0, 0, -39798, 0, 0, 0, 0, 0, 0, 0, 3954, 0, 0, 0, -15168, 0, 0, 0, 75264, 0, 0, 0, 15230, 0, 0, 0, 0, 0, 0, 0, -129200, 0, 0, 0, -30510, 0, 0, 0, -76128, 0, 0, 0, 3597, 0, 0, 0, 0, 0, 0, 0, -99734, 0, 0, 0, 4688, 0, 0, 0, -65670, 0, 0, 0, -10194, 0, 0, 0, 0, 0, 0, 0, 112528, 0, 0, 0, 49584, 0, 0, 0, 50534, 0, 0, 0, 23692, 0, 0, 0, 0, 0, 0, 0, 53368, 0, 0, 0, -60708, 0, 0, 0, 107728, 0, 0, 0, 1824, 0, 0, 0, 0, 0, 0, 0, 19558, 0, 0, 0, -42432, 0, 0, 0, -80336, 0, 0, 0, -57262, 0, 0, 0, 0, 0, 0, 0, -34367, 0, 0, 0, 87404, 0, 0, 0, -131648, 0, 0, 0, -25634, 0, 0, 0, 0, 0, 0, 0, 197950, 0, 0, 0, 37216, 0, 0, 0, 144150, 0, 0, 0, 21160, 0, 0, 0, 0, 0, 0, 0, 140946, 0, 0, 0, -37136, 0, 0, 0, 105906, 0, 0, 0, -7184, 0, 0, 0, 0, 0, 0, 0, -38160, 0, 0, 0, -79022, 0, 0, 0, -167232, 0, 0, 0, 44250, 0, 0, 0, 0, 0, 0, 0, -94496, 0, 0, 0, 51134, 0, 0, 0, -146822, 0, 0, 0, 143920, 0, 0, 0, 0, 0, 0, 0, 67876, 0, 0, 0, 51536, 0, 0, 0, 137478, 0, 0, 0, -44470, 0, 0, 0, 0, 0, 0, 0, 208240, 0, 0, 0, -84170, 0, 0, 0, 183522, 0, 0, 0, 50590, 0, 0, 0, 0, 0, 0, 0, -181168, 0, 0, 0, -100478, 0, 0, 0, -144834, 0, 0, 0, 26336, 0, 0, 0, 0, 0, 0, 0, -147476, 0, 0, 0, 193712, 0, 0, 0, -165116, 0, 0, 0, 75830, 0, 0, 0, 0, 0, 0, 0, 171598, 0, 0, 0, 91568, 0, 0, 0, 228064, 0, 0, 0, 85936, 0, 0, 0, 0, 0, 0, 0, 151589, 0, 0, 0, 13654, 0, 0, 0, 198800, 0, 0, 0, 198960, 0, 0, 0, 0, 0, 0, 0, -167248, 0, 0, 0, -96784, 0, 0, 0, -206962, 0, 0, 0, 99874, 0, 0, 0, 0, 0, 0, 0, -84302, 0, 0, 0, 19358, 0, 0, 0, -222352, 0, 0, 0, 67760, 0, 0, 0, 0, 0, 0, 0, 190848, 0, 0, 0, 100548, 0, 0, 0, 164838, 0, 0, 0, -59046, 0, 0, 0, 0, 0, 0, 0, -45342, 0, 0, 0, -114832, 0, 0, 0, 206304, 0, 0, 0, -148130, 0, 0, 0, 0, 0, 0, 0, -71746, 0, 0, 0, -26430, 0, 0, 0, -196512, 0, 0, 0, 151335, 0, 0, 0, 0, 0, 0, 0, -383448, 0, 0, 0, 157774, 0, 0, 0, -206054, 0, 0, 0, -137440, 0, 0, 0, 0, 0, 0, 0, 101280, 0, 0, 0, 50746, 0, 0, 0, 186886, 0, 0, 0, -40950, 0, 0, 0, 0, 0, 0, 0, 188528, 0, 0, 0, -47904, 0, 0, 0, 231952, 0, 0, 0, 281972, 0, 0, 0, 0, 0, 0, 0, -92402, 0, 0, 0, 20976, 0, 0, 0, -324144, 0, 0, 0, -231336, 0, 0, 0, 0, 0, 0, 0, -257166, 0, 0, 0, -150544, 0, 0, 0, -164998, 0, 0, 0, -141698, 0, 0, 0, 0, 0, 0, 0, 448084, 0, 0, 0, 21674, 0, 0, 0, 315168, 0, 0, 0, -65127, 0, 0, 0, 0, 0, 0, 0, 205080, 0, 0, 0, -131840, 0, 0, 0, 206322, 0, 0, 0, -160362, 0, 0, 0, 0, 0, 0, 0, -251312, 0, 0, 0, -167088, 0, 0, 0, -130674, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 508760
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '32.4.a.b', 'target_level': 32, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 508761
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '32.4.a.b', 'target_level': 32, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 508762
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '64.4.a.c', 'target_level': 64, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 508763
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '64.4.a.c', 'target_level': 64, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 508764
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.4.b.d', 'target_level': 256, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 508765
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.4.b.d', 'target_level': 256, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 508766
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.4.a.a', 'target_level': 288, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 508767
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.4.a.a', 'target_level': 288, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 508768
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '576.4.a.y', 'target_level': 576, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 508769
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '576.4.a.y', 'target_level': 576, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 508770
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '800.4.a.f', 'target_level': 800, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 508771
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '800.4.a.f', 'target_level': 800, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 508772
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.4.c.g', 'target_level': 800, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 508773
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.4.c.g', 'target_level': 800, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 508774
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1568.4.a.g', 'target_level': 1568, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 508775
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1568.4.a.g', 'target_level': 1568, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 508776
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1600.4.a.ba', 'target_level': 1600, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 508777
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '800.4.a.f', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1600.4.a.ba', 'target_level': 1600, 'twist_class_label': '32.4.a.b', 'twist_class_level': 32, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1346375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 2}
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id: 1346376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 3}
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id: 1346377
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 5}
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id: 1346378
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 7}
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id: 1346379
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 11}
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id: 1346380
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 13}
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id: 1346381
{'charpoly_factorization': [[[-94, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 17}
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id: 1346382
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 19}
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id: 1346383
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 23}
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id: 1346384
{'charpoly_factorization': [[[130, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 29}
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id: 1346385
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 31}
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id: 1346386
{'charpoly_factorization': [[[214, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 37}
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id: 1346387
{'charpoly_factorization': [[[230, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 41}
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id: 1346388
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 43}
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id: 1346389
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 47}
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id: 1346390
{'charpoly_factorization': [[[518, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 53}
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id: 1346391
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 59}
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id: 1346392
{'charpoly_factorization': [[[-830, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 61}
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id: 1346393
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 67}
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id: 1346394
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 71}
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id: 1346395
{'charpoly_factorization': [[[1098, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 73}
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id: 1346396
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 79}
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id: 1346397
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 83}
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id: 1346398
{'charpoly_factorization': [[[1670, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 89}
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id: 1346399
{'charpoly_factorization': [[[594, 1], 1]], 'hecke_orbit_code': 22517998203962144, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '800.4.a.f', 'level': 800, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 43493359
{'hecke_orbit_code': 22517998203962144, 'n': 1, 'trace_an': 1}
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id: 43493360
{'hecke_orbit_code': 22517998203962144, 'n': 2, 'trace_an': 0}
-
id: 43493361
{'hecke_orbit_code': 22517998203962144, 'n': 3, 'trace_an': 0}
-
id: 43493362
{'hecke_orbit_code': 22517998203962144, 'n': 4, 'trace_an': 0}
-
id: 43493363
{'hecke_orbit_code': 22517998203962144, 'n': 5, 'trace_an': 0}
-
id: 43493364
{'hecke_orbit_code': 22517998203962144, 'n': 6, 'trace_an': 0}
-
id: 43493365
{'hecke_orbit_code': 22517998203962144, 'n': 7, 'trace_an': 0}
-
id: 43493366
{'hecke_orbit_code': 22517998203962144, 'n': 8, 'trace_an': 0}
-
id: 43493367
{'hecke_orbit_code': 22517998203962144, 'n': 9, 'trace_an': -27}
-
id: 43493368
{'hecke_orbit_code': 22517998203962144, 'n': 10, 'trace_an': 0}
-
id: 43493369
{'hecke_orbit_code': 22517998203962144, 'n': 11, 'trace_an': 0}
-
id: 43493370
{'hecke_orbit_code': 22517998203962144, 'n': 12, 'trace_an': 0}
-
id: 43493371
{'hecke_orbit_code': 22517998203962144, 'n': 13, 'trace_an': 18}
-
id: 43493372
{'hecke_orbit_code': 22517998203962144, 'n': 14, 'trace_an': 0}
-
id: 43493373
{'hecke_orbit_code': 22517998203962144, 'n': 15, 'trace_an': 0}
-
id: 43493374
{'hecke_orbit_code': 22517998203962144, 'n': 16, 'trace_an': 0}
-
id: 43493375
{'hecke_orbit_code': 22517998203962144, 'n': 17, 'trace_an': 94}
-
id: 43493376
{'hecke_orbit_code': 22517998203962144, 'n': 18, 'trace_an': 0}
-
id: 43493377
{'hecke_orbit_code': 22517998203962144, 'n': 19, 'trace_an': 0}
-
id: 43493378
{'hecke_orbit_code': 22517998203962144, 'n': 20, 'trace_an': 0}
-
id: 43493379
{'hecke_orbit_code': 22517998203962144, 'n': 21, 'trace_an': 0}
-
id: 43493380
{'hecke_orbit_code': 22517998203962144, 'n': 22, 'trace_an': 0}
-
id: 43493381
{'hecke_orbit_code': 22517998203962144, 'n': 23, 'trace_an': 0}
-
id: 43493382
{'hecke_orbit_code': 22517998203962144, 'n': 24, 'trace_an': 0}
-
id: 43493383
{'hecke_orbit_code': 22517998203962144, 'n': 25, 'trace_an': 0}
-
id: 43493384
{'hecke_orbit_code': 22517998203962144, 'n': 26, 'trace_an': 0}
-
id: 43493385
{'hecke_orbit_code': 22517998203962144, 'n': 27, 'trace_an': 0}
-
id: 43493386
{'hecke_orbit_code': 22517998203962144, 'n': 28, 'trace_an': 0}
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