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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 19.11661884185996, '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': [324, 3, [163, 245], [3, 1]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109, 217], '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': [[5, [324, -18, 1]], [7, [64, 8, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472336609604, 'hecke_ring_generator_nbound': 25, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '324.4.e.h', 'level': 324, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '12.4.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+18\\zeta_{6}q^{5}+(-8+8\\zeta_{6})q^{7}+(-6^{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '324.4.e', 'trace_display': [0, 0, 18, -8], 'trace_hash': 930308275598429304, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.952', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.657', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.072', 'prec': 17}, {'__RealLiteral__': 0, 'data': '106.674', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 18], [0, 0], [-8, 8], [0, 0], [0, 0], [0, 0], [-36, 36], [0, 0], [0, 10], [0, 0], [0, 0], [0, 0], [18, 0], [0, 0], [-100, 0], [0, 0], [0, 0], [0, 0], [0, -72], [0, 0], [-199, 199], [0, 0], [0, 0], [0, 0], [234, -234], [0, 0], [0, 16], [0, 0], [0, 0], [0, 0], [-144, 0], [0, 0], [-226, 0], [0, 0], [0, 0], [0, 0], [0, -90], [0, 0], [-452, 452], [0, 0], [0, 0], [0, 0], [-432, 432], [0, 0], [0, 279], [0, 0], [0, 0], [0, 0], [414, 0], [0, 0], [-648, 0], [0, 0], [0, 0], [0, 0], [0, 684], [0, 0], [-422, 422], [0, 0], [0, 0], [0, 0], [-180, 180], [0, 0], [0, -332], [0, 0], [0, 0], [0, 0], [-360, 0], [0, 0], [26, 0], [0, 0], [0, 0], [0, 0], [0, -288], [0, 0], [-512, 512], [0, 0], [0, 0], [0, 0], [1188, -1188], [0, 0], [0, 324], [0, 0], [0, 0], [0, 0], [-630, 0], [0, 0], [-80, 0], [0, 0], [0, 0], [0, 0], [0, -1800], [0, 0], [1054, -1054], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 18], [-8, 8], [-36, 36], [0, 10], [18, 0], [-100, 0], [0, -72], [234, -234], [0, 16], [-226, 0], [0, -90], [-452, 452], [-432, 432], [414, 0], [0, 684], [-422, 422], [0, -332], [-360, 0], [26, 0], [-512, 512], [1188, -1188], [-630, 0], [1054, -1054], [-558, 558], [0, -8], [1764, 0], [1622, 0], [0, 1134], [-592, 0], [0, 1908], [-954, 954], [0, -2564], [0, 738], [2440, -2440], [0, 2554], [-820, 0], [0, -1944], [1242, -1242], [1116, 0], [1070, 0], [576, -576], [0, 1342], [1422, 0], [872, 0], [0, -1340], [-4880, 4880], [-2700, 2700], [0, -254], [4410, 0], [0, 3888], [-5138, 5138], [4788, 0], [0, 5886], [-2232, 2232], [-666, 0], [-5536, 0], [-2126, 2126], [2934, -2934], [0, -2036], [0, -2286], [1244, 0], [0, -1224], [-1898, 1898], [9162, -9162], [4348, -4348], [0, -7154], [0, 1836], [-5894, 5894], [-11106, 11106], [13176, 0], [6112, -6112], [0, 13618], [692, 0], [0, 8064], [-12654, 12654], [-106, 0], [0, 4014], [0, -3914], [0, -4428], [15490, -15490], [6768, 0], [1298, 0], [2248, -2248], [9612, -9612], [162, 0], [-1370, 1370], [15354, -15354], [0, 13024], [-14436, 0], [-12096, 12096], [6056, 0], [0, -7524], [0, -5276], [4968, 0], [0, -10998], [-8838, 0], [22436, 0], [-4762, 0], [6004, -6004], [-5274, 0], [0, 12420], [21366, -21366], [0, -21140], [3266, 0], [-17028, 17028], [9522, 0], [0, 10296], [3382, -3382], [0, 20656], [-22114, 0], [0, -19962], [604, -604], [152, 0], [-4194, 4194], [0, 7252], [-6696, 0], [0, -28422], [19908, -19908], [0, -14318], [-30050, 30050], [-22158, 22158], [-3132, 0], [20932, -20932], [-21834, 0], [-12446, 12446], [-12528, 0], [-11576, 11576], [0, 29338], [2540, 0], [0, 18792], [0, -4832], [-20818, 0], [0, -12042], [0, -13058], [-11826, 0], [0, -11996], [0, -6966], [-40806, 0], [-17980, 0], [12834, -12834], [0, 37864], [42516, 0], [45638, 0], [-17496, 17496], [-32174, 32174], [38934, -38934], [0, -29780], [-48096, 0], [0, -21302], [-7470, 0], [764, 0], [0, -32328], [36316, -36316], [13392, -13392], [38072, 0], [12798, -12798], [34874, 0], [0, -17190], [-40284, 40284], [15498, 0], [0, -37160], [18468, 0], [0, -10386], [-44136, 44136], [-28432, 0], [39778, -39778]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525472336609604, 'hecke_ring_character_values': [[163, [1, 0]], [245, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '324.4.e.h', 'level': 324, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 19.11661884185996, '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': [324, 3, [163, 245], [3, 1]], 'conrey_index': 109, 'cusp_dim': 288, 'dim': 24, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274945016132, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 8], 'label': '324.4.e', 'level': 324, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 360, 'mf_new_dim': 24, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, 30], 'traces': [24, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -444, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 2268, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -780, 0, 0, 0, 0, 0, -1356, 0, 0, 0, 0, 0, -1134, 0, 0, 0, 0, 0, -2352, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 3900, 0, 0, 0, 0, 0, 5340, 0, 0, 0, 0, 0, 5508, 0, 0, 0, 0, 0, 1554, 0, 0, 0, 0, 0, -16044, 0, 0, 0, 0, 0, -2550, 0, 0, 0, 0, 0, -6072, 0, 0, 0, 0, 0, 6804, 0, 0, 0, 0, 0, 3090, 0, 0, 0, 0, 0, 5646, 0, 0, 0, 0, 0, 2640, 0, 0, 0, 0, 0, 8676, 0, 0, 0, 0, 0, 13908, 0, 0, 0, 0, 0, -21444, 0, 0, 0, 0, 0, -7776, 0, 0, 0, 0, 0, -15054, 0, 0, 0, 0, 0, 4764, 0, 0, 0, 0, 0, -10368, 0, 0, 0, 0, 0, 5556, 0, 0, 0, 0, 0, 23532, 0, 0, 0, 0, 0, 17688, 0, 0, 0, 0, 0, -1806, 0, 0, 0, 0, 0, -26568, 0, 0, 0, 0, 0, -19356, 0, 0, 0, 0, 0, -21252, 0, 0, 0, 0, 0, 18792, 0, 0, 0, 0, 0, 3084, 0, 0, 0, 0, 0, 14094, 0, 0, 0, 0, 0, 57540, 0, 0, 0, 0, 0, 24492, 0, 0, 0, 0, 0, 12612, 0, 0, 0, 0, 0, -49548, 0, 0, 0, 0, 0, -35640, 0, 0, 0, 0, 0, -43572, 0, 0, 0, 0, 0, 14304, 0, 0, 0, 0, 0, -17790, 0, 0, 0, 0, 0, 15876, 0, 0, 0, 0, 0, 63084, 0, 0, 0, 0, 0, 17652, 0, 0, 0, 0, 0, 15258, 0, 0, 0, 0, 0, -121620, 0, 0, 0, 0, 0, -27510, 0, 0, 0, 0, 0, -35640, 0, 0, 0, 0, 0, 31788, 0, 0, 0, 0, 0, 14322, 0, 0, 0, 0, 0, 36606, 0, 0, 0, 0, 0, 87744, 0, 0, 0, 0, 0, 62046, 0, 0, 0, 0, 0, 11664, 0, 0, 0, 0, 0, -57516, 0, 0, 0, 0, 0, -35112, 0, 0, 0, 0, 0, -35502, 0, 0, 0, 0, 0, -11988, 0, 0, 0, 0, 0, 2892, 0, 0, 0, 0, 0, 7368, 0, 0, 0, 0, 0, 19272, 0, 0, 0, 0, 0, 52086, 0, 0, 0, 0, 0, 48438, 0, 0, 0, 0, 0, -84888, 0, 0, 0, 0, 0, -52944, 0, 0, 0, 0, 0, -31434, 0, 0, 0, 0, 0, -32772, 0, 0, 0, 0, 0, -23280, 0, 0, 0, 0, 0, 50316, 0, 0, 0, 0, 0, 72264, 0, 0, 0, 0, 0, 72738, 0, 0, 0, 0, 0, 32268, 0, 0, 0, 0, 0, -151308, 0, 0, 0, 0, 0, -27786, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 88320, 0, 0, 0, 0, 0, -8868, 0, 0, 0, 0, 0, 20898, 0, 0, 0, 0, 0, 17976, 0, 0, 0, 0, 0, 13080, 0, 0, 0, 0, 0, 9762, 0, 0, 0, 0, 0, -87456, 0, 0, 0, 0, 0, 3726, 0, 0, 0, 0, 0, -41280, 0, 0, 0, 0, 0, 99120, 0, 0, 0, 0, 0, 52326, 0, 0, 0, 0, 0, 49452, 0, 0, 0, 0, 0, 182736, 0, 0, 0, 0, 0, 40368, 0, 0, 0, 0, 0, 29892, 0, 0, 0, 0, 0, -61476, 0, 0, 0, 0, 0, -111984, 0, 0, 0, 0, 0, -101964, 0, 0, 0, 0, 0, -24684, 0, 0, 0, 0, 0, -90738, 0, 0, 0, 0, 0, -27672, 0, 0, 0, 0, 0, -42768, 0, 0, 0, 0, 0, 13122, 0, 0, 0, 0, 0, 7788, 0, 0, 0, 0, 0, -125712, 0, 0, 0, 0, 0, 36930, 0, 0, 0, 0, 0, -12918, 0, 0, 0, 0, 0, -25596, 0, 0, 0, 0, 0, -26376, 0, 0, 0, 0, 0, 86508, 0, 0, 0, 0, 0, 131352, 0, 0, 0, 0, 0, -12372, 0, 0, 0, 0, 0, -71928, 0, 0, 0, 0, 0, 252132, 0, 0, 0, 0, 0, -25998, 0, 0, 0, 0, 0, 40152, 0, 0, 0, 0, 0, 109344, 0, 0, 0, 0, 0, 17496, 0, 0, 0, 0, 0, -102678, 0, 0, 0, 0, 0, -10716, 0, 0, 0, 0, 0, 17124, 0, 0, 0, 0, 0, 4746, 0, 0, 0, 0, 0, -168000, 0, 0, 0, 0, 0, -7776, 0, 0, 0, 0, 0, 3792, 0, 0, 0, 0, 0, -118920, 0, 0, 0, 0, 0, 53784, 0, 0, 0, 0, 0, 11340, 0, 0, 0, 0, 0, -23496, 0, 0, 0, 0, 0, 41784, 0, 0, 0, 0, 0, 103674, 0, 0, 0, 0, 0, 119892, 0, 0, 0, 0, 0, 30780, 0, 0, 0, 0, 0, -40242, 0, 0, 0, 0, 0, -70800, 0, 0, 0, 0, 0, -41838, 0, 0, 0, 0, 0, -54888, 0, 0, 0, 0, 0, -229392, 0, 0, 0, 0, 0, -185052, 0, 0, 0, 0, 0, -95172, 0, 0, 0, 0, 0, -17160, 0, 0, 0, 0, 0, 24738, 0, 0, 0, 0, 0, 274590, 0, 0, 0, 0, 0, 131544, 0, 0, 0, 0, 0, 162156, 0, 0, 0, 0, 0, 24462, 0, 0, 0, 0, 0, 152004, 0, 0, 0, 0, 0, 72822, 0, 0, 0, 0, 0, 29952, 0, 0, 0, 0, 0, 159780, 0, 0, 0, 0, 0, 46008, 0, 0, 0, 0, 0, -39036, 0, 0, 0, 0, 0, -196992, 0, 0, 0, 0, 0, -140382, 0, 0, 0, 0, 0, -60522, 0, 0, 0, 0, 0, -598548, 0, 0, 0, 0, 0, -16524, 0, 0, 0, 0, 0, -66420, 0, 0, 0, 0, 0, -50460, 0, 0, 0, 0, 0, 175854, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 248983
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '12.4.a.a', 'target_level': 12, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 248984
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '36.4.a.a', 'target_level': 36, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
-
id: 248985
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '48.4.a.a', 'target_level': 48, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 248986
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '144.4.a.g', 'target_level': 144, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
-
id: 248987
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '192.4.a.f', 'target_level': 192, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
-
id: 248988
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '192.4.a.l', 'target_level': 192, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 4}
-
id: 248989
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '300.4.a.b', 'target_level': 300, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 248990
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '300.4.d.e', 'target_level': 300, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
-
id: 248991
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '324.4.e.a', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
-
id: 248992
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '324.4.e.a', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 248993
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '324.4.e.h', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 248994
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '324.4.e.h', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 248995
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.4.a.a', 'target_level': 576, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 248996
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.4.a.b', 'target_level': 576, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 248997
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '588.4.a.c', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 248998
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '588.4.i.d', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 248999
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '588.4.i.d', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 249000
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '588.4.i.e', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 249001
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '588.4.i.e', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 4}
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id: 249002
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.4.d.g', 'target_level': 768, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '144.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 249003
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '768.4.d.j', 'target_level': 768, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '144.v', 'twisting_char_orbit': 22, 'weight': 4}
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id: 249004
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '900.4.a.g', 'target_level': 900, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 249005
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.4.d.c', 'target_level': 900, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 249006
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '1200.4.a.be', 'target_level': 1200, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 249007
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1200.4.f.d', 'target_level': 1200, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 249008
{'conductor': 99, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1452.4.a.d', 'target_level': 1452, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '99.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 249009
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.4.a.b', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 249010
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.4.k.b', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 249011
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.4.k.b', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 249012
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1764.4.k.o', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 249013
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1764.4.k.o', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 249014
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.4.a.c', 'target_level': 2028, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '117.t', 'twisting_char_orbit': 20, 'weight': 4}
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id: 249015
{'conductor': 117, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.4.b.c', 'target_level': 2028, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '117.y', 'twisting_char_orbit': 25, 'weight': 4}
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id: 249016
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '324.4.e.h', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '2352.4.a.bk', 'target_level': 2352, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 710150
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 2}
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id: 710151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 3}
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id: 710152
{'charpoly_factorization': [[[324, -18, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 5}
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id: 710153
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 7}
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id: 710154
{'charpoly_factorization': [[[1296, 36, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 11}
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id: 710155
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 13}
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id: 710156
{'charpoly_factorization': [[[-18, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 17}
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id: 710157
{'charpoly_factorization': [[[100, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 19}
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id: 710158
{'charpoly_factorization': [[[5184, 72, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 23}
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id: 710159
{'charpoly_factorization': [[[54756, -234, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 29}
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id: 710160
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 31}
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id: 710161
{'charpoly_factorization': [[[226, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 37}
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id: 710162
{'charpoly_factorization': [[[8100, 90, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 41}
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id: 710163
{'charpoly_factorization': [[[204304, 452, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 43}
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id: 710164
{'charpoly_factorization': [[[186624, 432, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 47}
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id: 710165
{'charpoly_factorization': [[[-414, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 53}
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id: 710166
{'charpoly_factorization': [[[467856, -684, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 59}
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id: 710167
{'charpoly_factorization': [[[178084, 422, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 61}
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id: 710168
{'charpoly_factorization': [[[110224, 332, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 67}
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id: 710169
{'charpoly_factorization': [[[360, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 71}
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id: 710170
{'charpoly_factorization': [[[-26, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 73}
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id: 710171
{'charpoly_factorization': [[[262144, 512, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 79}
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id: 710172
{'charpoly_factorization': [[[1411344, -1188, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 83}
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id: 710173
{'charpoly_factorization': [[[630, 1], 2]], 'hecke_orbit_code': 31525472336609604, 'p': 89}
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id: 710174
{'charpoly_factorization': [[[1110916, -1054, 1], 1]], 'hecke_orbit_code': 31525472336609604, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '324.4.e.h', 'level': 324, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 193532000
{'hecke_orbit_code': 31525472336609604, 'n': 1, 'trace_an': 2}
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id: 193532001
{'hecke_orbit_code': 31525472336609604, 'n': 2, 'trace_an': 0}
-
id: 193532002
{'hecke_orbit_code': 31525472336609604, 'n': 3, 'trace_an': 0}
-
id: 193532003
{'hecke_orbit_code': 31525472336609604, 'n': 4, 'trace_an': 0}
-
id: 193532004
{'hecke_orbit_code': 31525472336609604, 'n': 5, 'trace_an': 18}
-
id: 193532005
{'hecke_orbit_code': 31525472336609604, 'n': 6, 'trace_an': 0}
-
id: 193532006
{'hecke_orbit_code': 31525472336609604, 'n': 7, 'trace_an': -8}
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id: 193532007
{'hecke_orbit_code': 31525472336609604, 'n': 8, 'trace_an': 0}
-
id: 193532008
{'hecke_orbit_code': 31525472336609604, 'n': 9, 'trace_an': 0}
-
id: 193532009
{'hecke_orbit_code': 31525472336609604, 'n': 10, 'trace_an': 0}
-
id: 193532010
{'hecke_orbit_code': 31525472336609604, 'n': 11, 'trace_an': -36}
-
id: 193532011
{'hecke_orbit_code': 31525472336609604, 'n': 12, 'trace_an': 0}
-
id: 193532012
{'hecke_orbit_code': 31525472336609604, 'n': 13, 'trace_an': 10}
-
id: 193532013
{'hecke_orbit_code': 31525472336609604, 'n': 14, 'trace_an': 0}
-
id: 193532014
{'hecke_orbit_code': 31525472336609604, 'n': 15, 'trace_an': 0}
-
id: 193532015
{'hecke_orbit_code': 31525472336609604, 'n': 16, 'trace_an': 0}
-
id: 193532016
{'hecke_orbit_code': 31525472336609604, 'n': 17, 'trace_an': 36}
-
id: 193532017
{'hecke_orbit_code': 31525472336609604, 'n': 18, 'trace_an': 0}
-
id: 193532018
{'hecke_orbit_code': 31525472336609604, 'n': 19, 'trace_an': -200}
-
id: 193532019
{'hecke_orbit_code': 31525472336609604, 'n': 20, 'trace_an': 0}
-
id: 193532020
{'hecke_orbit_code': 31525472336609604, 'n': 21, 'trace_an': 0}
-
id: 193532021
{'hecke_orbit_code': 31525472336609604, 'n': 22, 'trace_an': 0}
-
id: 193532022
{'hecke_orbit_code': 31525472336609604, 'n': 23, 'trace_an': -72}
-
id: 193532023
{'hecke_orbit_code': 31525472336609604, 'n': 24, 'trace_an': 0}
-
id: 193532024
{'hecke_orbit_code': 31525472336609604, 'n': 25, 'trace_an': -199}
-
id: 193532025
{'hecke_orbit_code': 31525472336609604, 'n': 26, 'trace_an': 0}
-
id: 193532026
{'hecke_orbit_code': 31525472336609604, 'n': 27, 'trace_an': 0}
-
id: 193532027
{'hecke_orbit_code': 31525472336609604, 'n': 28, 'trace_an': 0}
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