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mf_newforms • Show schema
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{'Nk2': 4050, 'analytic_conductor': 12.26161189621336, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [450, 4, [101, 127], [4, 1]], 'cm_discs': [], 'conrey_index': 307, 'conrey_indexes': [307, 343], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [128, 16, 1]], [11, [4, 1]], [17, [722, -38, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412367192514, 'hecke_ring_generator_nbound': 2, '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, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.3.g.a', 'level': 450, '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': '90.3.g.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-i)q^{2}+2iq^{4}+(-8-8i)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.3.g', 'trace_display': [-2, 0, 0, -16], 'trace_hash': 1845930704065589250, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.561', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '109.391', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.249', 'prec': 17}, 'traces': [2, -2, 0, 0, 0, 0, -16, 4, 0, 0, -8, 0, 6, 0, 0, -8, 38, 0, 0, 0, 0, 8, -40, 0, 0, -12, 0, 32, 0, 0, -88, 8, 0, 0, 0, 0, 6, -16, 0, 0, -140, 0, -72, 0, 0, 80, 0, 0, 0, 0, 0, 12, 34, 0, 0, -64, 0, 76, 0, 0, 144, 88, 0, 0, 0, 0, -88, -76, 0, 0, 176, 0, -110, 0, 0, 32, 64, 0, 0, 0, 0, 140, -48, 0, 0, 144, 0, -16, 0, 0, -96, -80, 0, 0, 0, 0, 114, 158, 0, 0, -112, 0, -8, 0, 0, -68, -136, 0, 0, 0, 0, 64, 106, 0, 0, -152, 0, 184, 0, 0, -210, -144, 0, 0, 0, 0, -136, -16, 0, 0, 88, 0, -128, 0, 0, 152, -138, 0, 0, 0, 0, -176, -24, 0, 0, 220, 0, -12, 0, 0, 8, -32, 0, 0, 0, 0, -198, 24, 0, 0, 640, 0, 320, 0, 0, 96, 112, 0, 0, 0, 0, -144, -82, 0, 0, 32, 0, -52, 0, 0, 124, 96, 0, 0, 0, 0, -152, 0, 0, 0, -496, 0, -270, 0, 0, -316, -306, 0, 0, 0, 0, 112, 608, 0, 0, 16, 0, -24, 0, 0, -128, 68, 0, 0, 0, 0, 704, -92, 0, 0, 228, 0, 456, 0, 0, -212, -200, 0, 0, 0, 0, 152, -186, 0, 0, -368, 0, -608, 0, 0, 320, 210, 0, 0, 0, 0, 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1304, -352, 0, 0, 0, 0, -2102, 1744, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, -1], [0, 0], [0, 2], [0, 0], [0, 0], [-8, -8], [2, -2], [0, 0], [0, 0], [-4, 0], [0, 0], [3, -3], [0, 16], [0, 0], [-4, 0], [19, 19], [0, 0], [0, -8], [0, 0], [0, 0], [4, 4], [-20, 20], [0, 0], [0, 0], [-6, 0], [0, 0], [16, -16], [0, 38], [0, 0], [-44, 0], [4, 4], [0, 0], [0, -38], [0, 0], [0, 0], [3, 3], [-8, 8], [0, 0], [0, 0], [-70, 0], [0, 0], [-36, 36], [0, -8], [0, 0], [40, 0], [0, 0], [0, 0], [0, 79], [0, 0], [0, 0], [6, 6], [17, -17], [0, 0], [0, 0], [-32, 0], [0, 0], [38, -38], [0, 92], [0, 0], [72, 0], [44, 44], [0, 0], [0, -8], [0, 0], [0, 0], [-44, -44], [-38, 38], [0, 0], [0, 0], [88, 0], [0, 0], [-55, 55], [0, -6], [0, 0], [16, 0], [32, 32], [0, 0], [0, 12], [0, 0], [0, 0], [70, 70], [-24, 24], [0, 0], [0, 0], [72, 0], [0, 0], [-8, 8], [0, -26], [0, 0], [-48, 0], [-40, -40], [0, 0], [0, 0], [0, 0], [0, 0], [57, 57], [79, -79], [0, 0], [0, 0]], 'ap': [[-1, -1], [0, 0], [0, 0], [-8, -8], [-4, 0], [3, -3], [19, 19], [0, -8], [-20, 20], [0, 38], [-44, 0], [3, 3], [-70, 0], [-36, 36], [0, 0], [17, -17], [0, 92], [72, 0], [-44, -44], [88, 0], [-55, 55], [0, 12], [-24, 24], [0, -26], [57, 57], [-56, 0], [-4, 4], [-68, -68], [0, -46], [53, -53], [-68, -68], [44, 0], [-69, -69], [0, 80], [0, -168], [4, 0], [-99, -99], [160, -160], [56, 56], [-41, 41], [0, 172], [62, 0], [-248, 0], [-135, 135], [-153, -153], [0, -252], [-64, 0], [228, -228], [-100, -100], [0, -312], [-93, 93], [0, 96], [160, 0], [-12, 0], [101, 101], [-208, 208], [0, 296], [108, 0], [243, 243], [-378, 0], [-92, 92], [-279, 279], [-216, -216], [-272, 0], [-15, 15], [87, 87], [-584, 0], [129, 129], [-260, -260], [0, 136], [-75, 75], [0, -32], [16, 16], [251, -251], [0, -560], [-300, 300], [0, 24], [299, 299], [144, 0], [0, -354], [0, 468], [104, 0], [680, 0], [-41, 41], [0, -364], [-372, 372], [0, 176], [-129, -129], [-568, 0], [568, -568], [-272, -272], [0, -928], [-252, -252], [844, 0], [0, 872], [480, -480], [0, -694], [-528, 0], [-552, 552], [-782, 0], [420, 420], [417, 417], [228, -228], [0, -368], [-736, 0], [113, 113], [684, 684], [-149, 149], [0, 152], [320, 0], [528, 528], [-771, 771], [675, 675], [0, 600], [-20, 0], [694, 0], [168, -168], [-328, -328], [81, -81], [0, -500], [-568, 0], [-73, 73], [-839, -839], [-744, 744], [504, 0], [-298, 0], [0, 472], [0, 872], [60, 60], [581, -581], [0, 1160], [380, -380], [780, 0], [-285, -285], [-304, 0], [0, -1072], [-897, 897], [-328, -328], [-87, -87], [0, 922], [-1312, 0], [950, 0], [-68, 68], [264, 264], [0, -178], [0, 1576], [509, -509], [357, 357], [0, -520], [952, -952], [717, 717], [554, 0], [-952, 952], [648, 648], [740, 740], [520, 0], [0, -844], [0, -208], [-7, -7], [-1752, 0], [224, 224], [645, -645], [92, 92], [4, 0], [-1011, -1011], [-604, 604], [652, 0], [-1051, -1051]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 412367192514, 'hecke_ring_character_values': [[101, [1, 0]], [127, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '450.3.g.a', 'level': 450, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 4050, 'analytic_conductor': 12.26161189621336, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [450, 4, [101, 127], [4, 1]], 'conrey_index': 307, 'cusp_dim': 312, 'dim': 30, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 412367192514, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '450.3.g', 'level': 450, '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, 'mf_dim': 408, 'mf_new_dim': 30, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 270, 'trace_bound': 7, 'trace_display': [2, 0, 0, -20], 'traces': [30, 2, 0, 0, 0, 0, -20, -4, 0, 0, -64, 0, -6, 0, 0, -120, 58, 0, 0, 0, 0, 16, -20, 0, 0, 84, 0, 40, 0, 0, 24, -8, 0, 0, 0, 0, 126, -104, 0, 0, -208, 0, -108, 0, 0, -272, 60, 0, 0, 0, 0, -12, 206, 0, 0, 160, 0, 8, 0, 0, 688, -184, 0, 0, 0, 0, -284, -116, 0, 0, 376, 0, 62, 0, 0, -112, -160, 0, 0, 0, 0, 232, 228, 0, 0, -192, 0, -32, 0, 0, -600, -40, 0, 0, 0, 0, 222, -206, 0, 0, -92, 0, -220, 0, 0, -244, 364, 0, 0, 0, 0, 80, 218, 0, 0, -304, 0, 488, 0, 0, 1330, 0, 0, 0, 0, 0, 28, 16, 0, 0, 416, 0, -400, 0, 0, -8, -42, 0, 0, 0, 0, -472, -480, 0, 0, 284, 0, -252, 0, 0, -360, -208, 0, 0, 0, 0, -942, 48, 0, 0, -1624, 0, 1156, 0, 0, -48, 380, 0, 0, 0, 0, -216, 142, 0, 0, 256, 0, 88, 0, 0, -1268, 264, 0, 0, 0, 0, 176, -120, 0, 0, 520, 0, -582, 0, 0, -148, -738, 0, 0, 0, 0, 548, -224, 0, 0, 1088, 0, 24, 0, 0, 1296, 412, 0, 0, 0, 0, 1264, 500, 0, 0, 2004, 0, 252, 0, 0, 404, 404, 0, 0, 0, 0, 16, -102, 0, 0, -880, 0, -1432, 0, 0, -64, 78, 0, 0, 0, 0, -552, 368, 0, 0, -3360, 0, 800, 0, 0, 480, -1414, 0, 0, 0, 0, 64, -460, 0, 0, -1024, 0, 568, 0, 0, -2696, -232, 0, 0, 0, 0, 426, 536, 0, 0, 3168, 0, -596, 0, 0, 2784, 32, 0, 0, 0, 0, 124, 66, 0, 0, -24, 0, 84, 0, 0, 72, 296, 0, 0, 0, 0, 36, 320, 0, 0, -2504, 0, -678, 0, 0, 320, -366, 0, 0, 0, 0, -2000, -616, 0, 0, -512, 0, -464, 0, 0, -2272, 456, 0, 0, 0, 0, -162, 466, 0, 0, 5552, 0, -648, 0, 0, 1084, 1156, 0, 0, 0, 0, -64, 54, 0, 0, 1072, 0, 1144, 0, 0, -162, 388, 0, 0, 0, 0, 1468, 80, 0, 0, -488, 0, 1550, 0, 0, 1056, -336, 0, 0, 0, 0, 2600, -2460, 0, 0, -2940, 0, -444, 0, 0, -2296, -412, 0, 0, 0, 0, 1022, -192, 0, 0, -4548, 0, 168, 0, 0, -1520, 480, 0, 0, 0, 0, -440, 400, 0, 0, -336, 0, -832, 0, 0, -4448, 400, 0, 0, 0, 0, -3264, -728, 0, 0, 1496, 0, 22, 0, 0, -1016, 400, 0, 0, 0, 0, -1020, 1668, 0, 0, -288, 0, -160, 0, 0, 7648, 436, 0, 0, 0, 0, 306, -240, 0, 0, -844, 0, 3268, 0, 0, 1668, 52, 0, 0, 0, 0, 976, 1440, 0, 0, 656, 0, -240, 0, 0, 1404, -976, 0, 0, 0, 0, -1764, 0, 0, 0, 2512, 0, -3224, 0, 0, -96, -560, 0, 0, 0, 0, -1344, -564, 0, 0, 5984, 0, -56, 0, 0, 2536, 32, 0, 0, 0, 0, -480, -888, 0, 0, -492, 0, -3108, 0, 0, -6160, -536, 0, 0, 0, 0, -800, 432, 0, 0, -320, 0, 1940, 0, 0, 1700, -1032, 0, 0, 0, 0, 2364, 84, 0, 0, -6224, 0, 3072, 0, 0, -2064, -546, 0, 0, 0, 0, 2616, 2172, 0, 0, -896, 0, 944, 0, 0, 3312, -960, 0, 0, 0, 0, -454, -386, 0, 0, 2424, 0, -752, 0, 0, -540, 1284, 0, 0, 0, 0, -504, -650, 0, 0, 1176, 0, -600, 0, 0, 6112, -1008, 0, 0, 0, 0, 564, 416, 0, 0, -4824, 0, -3102, 0, 0, -832, 570, 0, 0, 0, 0, -712, 512, 0, 0, 2724, 0, 1884, 0, 0, -1144, 96, 0, 0, 0, 0, 3894, -1280, 0, 0, 5296, 0, 2988, 0, 0, -3184, -1228, 0, 0, 0, 0, 2312, 1902, 0, 0, 832, 0, -1200, 0, 0, -3968, -16, 0, 0, 0, 0, -2560, -760, 0, 0, 5232, 0, -1546, 0, 0, 2988, 382, 0, 0, 0, 0, -2624, 1452, 0, 0, -5328, 0, 432, 0, 0, -3904, 284, 0, 0, 0, 0, -5752, -2000, 0, 0, -5488, 0, -1512, 0, 0, -5508, 2584, 0, 0, 0, 0, 176, -1040, 0, 0, -3344, 0, 256, 0, 0, 4408, 114, 0, 0, 0, 0, 1644, -528, 0, 0, 4680, 0, 2102, 0, 0, 1088, 800, 0, 0, 0, 0, 4040, -2476, 0, 0, -532, 0, -352, 0, 0, -856, -240, 0, 0, 0, 0, -1206, -344, 0, 0, -4372, 0, 568, 0, 0, 6528, 120, 0, 0, 0, 0, -1164, -702, 0, 0, 2376, 0, -948, 0, 0, 2624, 280, 0, 0, 0, 0, 500, 1476, 0, 0, 6184, 0, -96, 0, 0, -64, 690, 0, 0, 0, 0, -324, 1120, 0, 0, 5040, 0, -1096, 0, 0, 1216, -448, 0, 0, 0, 0, -336, 396, 0, 0, -6832, 0, 1108, 0, 0, -1664, 756, 0, 0, 0, 0, 48, 746, 0, 0, -4000, 0, 1992, 0, 0, -6322, 1600, 0, 0, 0, 0, 1908, -824, 0, 0, -7224, 0, -1150, 0, 0, -3296, 2166, 0, 0, 0, 0, -4040, 316, 0, 0, -8612, 0, -2528, 0, 0, -16392, 1000, 0, 0, 0, 0, 1362, 1808, 0, 0, -5680, 0, -6412, 0, 0, 5424, -4620, 0, 0, 0, 0, 504, -1680, 0, 0, -640, 0, 3500, 0, 0, -1220, -640, 0, 0, 0, 0, 6308, -808, 0, 0, 10984, 0, 2784, 0, 0, 5008, 1280, 0, 0, 0, 0, 4612, -360, 0, 0, 9568, 0, -32, 0, 0, 11208, -204, 0, 0, 0, 0, 4634, 2096, 0, 0, 5868, 0, 5120, 0, 0, 3360, -3172, 0, 0, 0, 0, -2864, -966, 0, 0, 4896, 0, -4528, 0, 0, 11154, -612, 0, 0, 0, 0, -4060, -156, 0, 0, 11152, 0, 4336, 0, 0, -2752, -1866, 0, 0, 0, 0, -2704, -2476, 0, 0, -2336, 0, 1104, 0, 0, -9688, 736, 0, 0, 0, 0, -6382, 3896, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 331493
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '90.3.g.a', 'target_level': 90, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 331494
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '90.3.g.a', 'target_level': 90, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 331495
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '90.3.g.c', 'target_level': 90, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 331496
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '90.3.g.c', 'target_level': 90, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 331497
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.3.g.a', 'target_level': 450, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 331498
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.3.g.a', 'target_level': 450, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 331499
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '450.3.g.d', 'target_level': 450, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 331500
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '450.3.g.d', 'target_level': 450, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 331501
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.bh.b', 'target_level': 720, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 331502
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.bh.b', 'target_level': 720, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 331503
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.3.bh.d', 'target_level': 720, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 331504
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.3.g.a', 'source_level': 450, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.3.bh.d', 'target_level': 720, 'twist_class_label': '90.3.g.a', 'twist_class_level': 90, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 909925
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 2}
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id: 909926
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 3}
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id: 909927
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 5}
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id: 909928
{'charpoly_factorization': [[[128, 16, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 7}
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id: 909929
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 11}
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id: 909930
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 13}
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id: 909931
{'charpoly_factorization': [[[722, -38, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 17}
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id: 909932
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 19}
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id: 909933
{'charpoly_factorization': [[[800, 40, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 23}
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id: 909934
{'charpoly_factorization': [[[1444, 0, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 29}
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id: 909935
{'charpoly_factorization': [[[44, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 31}
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id: 909936
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 37}
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id: 909937
{'charpoly_factorization': [[[70, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 41}
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id: 909938
{'charpoly_factorization': [[[2592, 72, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 43}
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id: 909939
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 47}
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id: 909940
{'charpoly_factorization': [[[578, -34, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 53}
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id: 909941
{'charpoly_factorization': [[[8464, 0, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 59}
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id: 909942
{'charpoly_factorization': [[[-72, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 61}
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id: 909943
{'charpoly_factorization': [[[3872, 88, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 67}
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id: 909944
{'charpoly_factorization': [[[-88, 1], 2]], 'hecke_orbit_code': 412367192514, 'p': 71}
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id: 909945
{'charpoly_factorization': [[[6050, 110, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 73}
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id: 909946
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 79}
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id: 909947
{'charpoly_factorization': [[[1152, 48, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 83}
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id: 909948
{'charpoly_factorization': [[[676, 0, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 89}
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id: 909949
{'charpoly_factorization': [[[6498, -114, 1], 1]], 'hecke_orbit_code': 412367192514, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '450.3.g.a', 'level': 450, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 34725000
{'hecke_orbit_code': 412367192514, 'n': 1, 'trace_an': 2}
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id: 34725001
{'hecke_orbit_code': 412367192514, 'n': 2, 'trace_an': -2}
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id: 34725002
{'hecke_orbit_code': 412367192514, 'n': 3, 'trace_an': 0}
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id: 34725003
{'hecke_orbit_code': 412367192514, 'n': 4, 'trace_an': 0}
-
id: 34725004
{'hecke_orbit_code': 412367192514, 'n': 5, 'trace_an': 0}
-
id: 34725005
{'hecke_orbit_code': 412367192514, 'n': 6, 'trace_an': 0}
-
id: 34725006
{'hecke_orbit_code': 412367192514, 'n': 7, 'trace_an': -16}
-
id: 34725007
{'hecke_orbit_code': 412367192514, 'n': 8, 'trace_an': 4}
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id: 34725008
{'hecke_orbit_code': 412367192514, 'n': 9, 'trace_an': 0}
-
id: 34725009
{'hecke_orbit_code': 412367192514, 'n': 10, 'trace_an': 0}
-
id: 34725010
{'hecke_orbit_code': 412367192514, 'n': 11, 'trace_an': -8}
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id: 34725011
{'hecke_orbit_code': 412367192514, 'n': 12, 'trace_an': 0}
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id: 34725012
{'hecke_orbit_code': 412367192514, 'n': 13, 'trace_an': 6}
-
id: 34725013
{'hecke_orbit_code': 412367192514, 'n': 14, 'trace_an': 0}
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id: 34725014
{'hecke_orbit_code': 412367192514, 'n': 15, 'trace_an': 0}
-
id: 34725015
{'hecke_orbit_code': 412367192514, 'n': 16, 'trace_an': -8}
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id: 34725016
{'hecke_orbit_code': 412367192514, 'n': 17, 'trace_an': 38}
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id: 34725017
{'hecke_orbit_code': 412367192514, 'n': 18, 'trace_an': 0}
-
id: 34725018
{'hecke_orbit_code': 412367192514, 'n': 19, 'trace_an': 0}
-
id: 34725019
{'hecke_orbit_code': 412367192514, 'n': 20, 'trace_an': 0}
-
id: 34725020
{'hecke_orbit_code': 412367192514, 'n': 21, 'trace_an': 0}
-
id: 34725021
{'hecke_orbit_code': 412367192514, 'n': 22, 'trace_an': 8}
-
id: 34725022
{'hecke_orbit_code': 412367192514, 'n': 23, 'trace_an': -40}
-
id: 34725023
{'hecke_orbit_code': 412367192514, 'n': 24, 'trace_an': 0}
-
id: 34725024
{'hecke_orbit_code': 412367192514, 'n': 25, 'trace_an': 0}
-
id: 34725025
{'hecke_orbit_code': 412367192514, 'n': 26, 'trace_an': -12}
-
id: 34725026
{'hecke_orbit_code': 412367192514, 'n': 27, 'trace_an': 0}
-
id: 34725027
{'hecke_orbit_code': 412367192514, 'n': 28, 'trace_an': 32}
-
id: 34725028
{'hecke_orbit_code': 412367192514, 'n': 29, 'trace_an': 0}
-
id: 34725029
{'hecke_orbit_code': 412367192514, 'n': 30, 'trace_an': 0}
-
id: 34725030
{'hecke_orbit_code': 412367192514, 'n': 31, 'trace_an': -88}
-
id: 34725031
{'hecke_orbit_code': 412367192514, 'n': 32, 'trace_an': 8}
-
id: 34725032
{'hecke_orbit_code': 412367192514, 'n': 33, 'trace_an': 0}
-
id: 34725033
{'hecke_orbit_code': 412367192514, 'n': 34, 'trace_an': 0}
-
id: 34725034
{'hecke_orbit_code': 412367192514, 'n': 35, 'trace_an': 0}
-
id: 34725035
{'hecke_orbit_code': 412367192514, 'n': 36, 'trace_an': 0}
-
id: 34725036
{'hecke_orbit_code': 412367192514, 'n': 37, 'trace_an': 6}
-
id: 34725037
{'hecke_orbit_code': 412367192514, 'n': 38, 'trace_an': -16}
-
id: 34725038
{'hecke_orbit_code': 412367192514, 'n': 39, 'trace_an': 0}
-
id: 34725039
{'hecke_orbit_code': 412367192514, 'n': 40, 'trace_an': 0}
-
id: 34725040
{'hecke_orbit_code': 412367192514, 'n': 41, 'trace_an': -140}
-
id: 34725041
{'hecke_orbit_code': 412367192514, 'n': 42, 'trace_an': 0}
-
id: 34725042
{'hecke_orbit_code': 412367192514, 'n': 43, 'trace_an': -72}
-
id: 34725043
{'hecke_orbit_code': 412367192514, 'n': 44, 'trace_an': 0}
-
id: 34725044
{'hecke_orbit_code': 412367192514, 'n': 45, 'trace_an': 0}
-
id: 34725045
{'hecke_orbit_code': 412367192514, 'n': 46, 'trace_an': 80}
-
id: 34725046
{'hecke_orbit_code': 412367192514, 'n': 47, 'trace_an': 0}
-
id: 34725047
{'hecke_orbit_code': 412367192514, 'n': 48, 'trace_an': 0}
-
id: 34725048
{'hecke_orbit_code': 412367192514, 'n': 49, 'trace_an': 0}
-
id: 34725049
{'hecke_orbit_code': 412367192514, 'n': 50, 'trace_an': 0}
-
id: 34725050
{'hecke_orbit_code': 412367192514, 'n': 51, 'trace_an': 0}
-
id: 34725051
{'hecke_orbit_code': 412367192514, 'n': 52, 'trace_an': 12}
-
id: 34725052
{'hecke_orbit_code': 412367192514, 'n': 53, 'trace_an': 34}
-
id: 34725053
{'hecke_orbit_code': 412367192514, 'n': 54, 'trace_an': 0}
-
id: 34725054
{'hecke_orbit_code': 412367192514, 'n': 55, 'trace_an': 0}
-
id: 34725055
{'hecke_orbit_code': 412367192514, 'n': 56, 'trace_an': -64}
-
id: 34725056
{'hecke_orbit_code': 412367192514, 'n': 57, 'trace_an': 0}
-
id: 34725057
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