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mf_newforms • Show schema
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{'Nk2': 243, 'analytic_conductor': 0.7356967137728017, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [27, 2, [2], [1]], 'cm_discs': [-3], 'conrey_index': 26, '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, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68769808411, '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, 3, 2, -1, 2, -3]], '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': True, 'label': '27.3.b.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.3.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 2, 'qexp_display': 'q+4q^{4}-13q^{7}-q^{13}+2^{4}q^{16}+11q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '27.3.b', 'trace_display': [0, 0, 0, -13], 'trace_hash': 1350997177047738507, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.857', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.408', 'prec': 17}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [4], [0], [0], [-13], [0], [0], [0], [0], [0], [-1], [0], [0], [16], [0], [0], [11], [0], [0], [0], [0], [0], [25], [0], [0], [-52], [0], [0], [-46], [0], [0], [0], [0], [0], [47], [0], [0], [0], [0], [0], [-22], [0], [0], [0], [0], [0], [120], [0], [0], [-4], [0], [0], [0], [0], [0], [0], [0], [0], [-121], [0], [0], [64], [0], [0], [-109], [0], [0], [0], [0], [0], [-97], [0], [0], [44], [0], [0], [131], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [13], [0], [0], [0], [0], [0], [167], [0], [0], [100]], 'ap': [[0], [0], [0], [-13], [0], [-1], [0], [11], [0], [0], [-46], [47], [0], [-22], [0], [0], [0], [-121], [-109], [0], [-97], [131], [0], [0], [167], [0], [-37], [0], [-214], [0], [146], [0], [0], [251], [0], [59], [-118], [299], [0], [0], [0], [-313], [0], [143], [0], [-277], [-253], [338], [0], [26], [0], [0], [-193], [0], [0], [0], [0], [299], [122], [0], [458], [0], [-358], [0], [599], [0], [-661], [-649], [0], [671], [0], [0], [491], [-577], [83], [0], [0], [362], [0], [143], [0], [-481], [0], [-862], [-94], [0], [0], [-814], [0], [-397], [0], [0], [-349], [0], [26], [0], [0], [0], [803], [-241], [-1093], [0], [0], [0], [-181], [-1033], [0], [0], [0], [-526], [1187], [983], [0], [-949], [587], [0], [314], [0], [0], [0], [1079], [23], [0], [0], [-1318], [0], [1391], [0], [482], [1034], [-1222], [0], [179], [-673], [0], [863], [0], [-613], [0], [0], [1514], [0], [-1621], [0], [-1609], [0], [-481], [0], [-1549], [0], [1727], [0], [443], [0], [-1453], [0], [866], [0], [1847], [0], [0], [0], [-253], [0], [0], [0], [1739], [-1894]], 'char_orbit_index': 2, 'field_poly': [0, 1], 'hecke_orbit_code': 68769808411, 'hecke_ring_character_values': [[2, [-1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '27.3.b.a', 'level': 27, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 243, 'analytic_conductor': 0.7356967137728017, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [27, 2, [2], [1]], 'conrey_index': 26, 'cusp_dim': 3, 'dim': 3, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68769808411, 'hecke_orbit_dims': [1, 2], 'label': '27.3.b', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 9, 'mf_new_dim': 3, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 3, 'sturm_bound': 9, 'trace_bound': 1, 'trace_display': [0, 0, 0, -3], 'traces': [3, 0, 0, -6, 0, 0, -3, 0, 0, 18, 0, 0, -21, 0, 0, -6, 0, 0, -21, 0, 0, 90, 0, 0, 57, 0, 0, -102, 0, 0, -48, 0, 0, -108, 0, 0, 87, 0, 0, -18, 0, 0, 78, 0, 0, 72, 0, 0, 72, 0, 0, 96, 0, 0, -90, 0, 0, -180, 0, 0, -273, 0, 0, 246, 0, 0, -129, 0, 0, 90, 0, 0, 33, 0, 0, 204, 0, 0, 159, 0, 0, -360, 0, 0, 108, 0, 0, -90, 0, 0, -87, 0, 0, 36, 0, 0, -3, 0, 0, -60, 0, 0, 303, 0, 0, 162, 0, 0, 114, 0, 0, -318, 0, 0, -72, 0, 0, 180, 0, 0, -87, 0, 0, -174, 0, 0, -264, 0, 0, -180, 0, 0, -303, 0, 0, 108, 0, 0, 195, 0, 0, 540, 0, 0, 180, 0, 0, -12, 0, 0, 213, 0, 0, 450, 0, 0, -318, 0, 0, -270, 0, 0, 519, 0, 0, -18, 0, 0, -306, 0, 0, -588, 0, 0, -165, 0, 0, -540, 0, 0, -345, 0, 0, -72, 0, 0, 540, 0, 0, -288, 0, 0, 573, 0, 0, 720, 0, 0, -723, 0, 0, 1170, 0, 0, 360, 0, 0, 204, 0, 0, -885, 0, 0, -1134, 0, 0, 588, 0, 0, 450, 0, 0, 78, 0, 0, -144, 0, 0, -426, 0, 0, 180, 0, 0, -36, 0, 0, -540, 0, 0, -165, 0, 0, 276, 0, 0, 309, 0, 0, 738, 0, 0, -360, 0, 0, 426, 0, 0, -411, 0, 0, -90, 0, 0, -162, 0, 0, -336, 0, 0, 897, 0, 0, -828, 0, 0, 402, 0, 0, -90, 0, 0, -102, 0, 0, -900, 0, 0, 219, 0, 0, -1038, 0, 0, -180, 0, 0, 450, 0, 0, 786, 0, 0, 528, 0, 0, 222, 0, 0, -18, 0, 0, 969, 0, 0, 384, 0, 0, 900, 0, 0, 360, 0, 0, -345, 0, 0, 360, 0, 0, -1137, 0, 0, -468, 0, 0, -669, 0, 0, -540, 0, 0, -1653, 0, 0, 1062, 0, 0, 159, 0, 0, -1350, 0, 0, -540, 0, 0, 1350, 0, 0, -450, 0, 0, 552, 0, 0, -759, 0, 0, 360, 0, 0, -237, 0, 0, -36, 0, 0, 1491, 0, 0, -180, 0, 0, -450, 0, 0, 1518, 0, 0, 432, 0, 0, 1242, 0, 0, 222, 0, 0, 48, 0, 0, 66, 0, 0, -900, 0, 0, 681, 0, 0, -1848, 0, 0, 18, 0, 0, -1440, 0, 0, 807, 0, 0, -162, 0, 0, 813, 0, 0, 900, 0, 0, -1992, 0, 0, -2496, 0, 0, -516, 0, 0, 1080, 0, 0, 540, 0, 0, 78, 0, 0, 1800, 0, 0, 252, 0, 0, -84, 0, 0, 360, 0, 0, 33, 0, 0, -1404, 0, 0, 1317, 0, 0, -180, 0, 0, -237, 0, 0, 720, 0, 0, -447, 0, 0, 1524, 0, 0, -129, 0, 0, -432, 0, 0, -1080, 0, 0, -714, 0, 0, -1506, 0, 0, -540, 0, 0, -1170, 0, 0, 2634, 0, 0, 1911, 0, 0, -2628, 0, 0, -180, 0, 0, 180, 0, 0, 303, 0, 0, 1656, 0, 0, 1299, 0, 0, 228, 0, 0, 1134, 0, 0, -1620, 0, 0, -777, 0, 0, 1620, 0, 0, -273, 0, 0, 1440, 0, 0, -1563, 0, 0, 1284, 0, 0, -978, 0, 0, 900, 0, 0, 144, 0, 0, -540, 0, 0, -2073, 0, 0, -1800, 0, 0, 627, 0, 0, -900, 0, 0, -810, 0, 0, -1548, 0, 0, -474, 0, 0, 312, 0, 0, 540, 0, 0, -720, 0, 0, 1212, 0, 0, -534, 0, 0, 2247, 0, 0, -1368, 0, 0, 843, 0, 0, -450, 0, 0, 375, 0, 0, 2880, 0, 0, 687, 0, 0, 528, 0, 0, -75, 0, 0, -1098, 0, 0, 360, 0, 0, 558, 0, 0, 1194, 0, 0, 1728, 0, 0, -900, 0, 0, 96, 0, 0, 90, 0, 0, 180, 0, 0, -777, 0, 0, 18, 0, 0, 720, 0, 0, -180, 0, 0, -1947, 0, 0, 18, 0, 0, -3021, 0, 0, -90, 0, 0, 828, 0, 0, -1452, 0, 0, -2190, 0, 0, -414, 0, 0, -2160, 0, 0, -2100, 0, 0, -123, 0, 0, 2736, 0, 0, 1455, 0, 0, 540, 0, 0, 900, 0, 0, 2700, 0, 0, 2181, 0, 0, -1092, 0, 0, 132, 0, 0, 1170, 0, 0, 3354, 0, 0, -1080, 0, 0, -3234, 0, 0, 810, 0, 0, -450, 0, 0, -2700, 0, 0, 897, 0, 0, 1800, 0, 0, -1533, 0, 0, 288, 0, 0, 4422, 0, 0, -3708, 0, 0, 3381, 0, 0, -1578, 0, 0, -1182, 0, 0, -3150, 0, 0, -2700, 0, 0, 2448, 0, 0, -1533, 0, 0, 252, 0, 0, 1641, 0, 0, 1122, 0, 0, 216, 0, 0, 720, 0, 0, -360, 0, 0, -1170, 0, 0, 2058, 0, 0, 1800, 0, 0, -1842, 0, 0, -1800, 0, 0, 789, 0, 0, 900, 0, 0, 1275, 0, 0, -1884, 0, 0, 468, 0, 0, 1260, 0, 0, 723, 0, 0, 2148, 0, 0, -2613, 0, 0, -1728, 0, 0, 699, 0, 0, 1134, 0, 0, -2181, 0, 0, -1620, 0, 0, -1062, 0, 0, 2442, 0, 0, 309, 0, 0, -1152, 0, 0, 627, 0, 0, 990, 0, 0, -1317, 0, 0, -2988, 0, 0, -3948, 0, 0, 2652, 0, 0, -1350, 0, 0, 2160, 0, 0, 972, 0, 0, 144, 0, 0, -4053, 0, 0, -900, 0, 0, 90, 0, 0, 2364, 0, 0, 1140, 0, 0, 630, 0, 0, 1815, 0, 0, 2700, 0, 0, 2088, 0, 0, -378, 0, 0, 3057, 0, 0, 180, 0, 0, 1440, 0, 0, 4500, 0, 0, -1203, 0, 0, 540, 0, 0, 180, 0, 0, -4500, 0, 0, -765, 0, 0, -912, 0, 0, 1437, 0, 0, -1530, 0, 0, -3543, 0, 0, -264, 0, 0, 2700, 0, 0, -3870, 0, 0, -1242, 0, 0, -1644, 0, 0, -1263, 0, 0, 2700, 0, 0, -354, 0, 0, -738], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 21823
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.3.b.a', 'target_level': 27, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 21824
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.3.b.a', 'target_level': 27, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 21825
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.3.d.a', 'target_level': 81, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 21826
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.3.d.a', 'target_level': 81, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 21827
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.e.b', 'target_level': 432, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 21828
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.e.b', 'target_level': 432, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 21829
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.c.c', 'target_level': 675, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 21830
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.c.c', 'target_level': 675, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 21831
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.d.c', 'target_level': 675, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 21832
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.3.d.c', 'target_level': 675, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 21833
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1296.3.q.a', 'target_level': 1296, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 21834
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1296.3.q.a', 'target_level': 1296, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 21835
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.3.e.a', 'target_level': 1728, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 21836
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.3.e.a', 'target_level': 1728, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 21837
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.3.e.d', 'target_level': 1728, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 21838
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '27.3.b.a', 'source_level': 27, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.3.e.d', 'target_level': 1728, 'twist_class_label': '27.3.b.a', 'twist_class_level': 27, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 102800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 2}
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id: 102801
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 3}
-
id: 102802
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 5}
-
id: 102803
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 7}
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id: 102804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 11}
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id: 102805
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 13}
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id: 102806
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 17}
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id: 102807
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 19}
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id: 102808
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 23}
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id: 102809
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 29}
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id: 102810
{'charpoly_factorization': [[[46, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 31}
-
id: 102811
{'charpoly_factorization': [[[-47, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 37}
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id: 102812
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 41}
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id: 102813
{'charpoly_factorization': [[[22, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 43}
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id: 102814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 47}
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id: 102815
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 53}
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id: 102816
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 59}
-
id: 102817
{'charpoly_factorization': [[[121, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 61}
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id: 102818
{'charpoly_factorization': [[[109, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 67}
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id: 102819
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 71}
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id: 102820
{'charpoly_factorization': [[[97, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 73}
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id: 102821
{'charpoly_factorization': [[[-131, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 79}
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id: 102822
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 83}
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id: 102823
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 89}
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id: 102824
{'charpoly_factorization': [[[-167, 1], 1]], 'hecke_orbit_code': 68769808411, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '27.3.b.a', 'level': 27, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 4663381
{'hecke_orbit_code': 68769808411, 'n': 1, 'trace_an': 1}
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id: 4663382
{'hecke_orbit_code': 68769808411, 'n': 2, 'trace_an': 0}
-
id: 4663383
{'hecke_orbit_code': 68769808411, 'n': 3, 'trace_an': 0}
-
id: 4663384
{'hecke_orbit_code': 68769808411, 'n': 4, 'trace_an': 4}
-
id: 4663385
{'hecke_orbit_code': 68769808411, 'n': 5, 'trace_an': 0}
-
id: 4663386
{'hecke_orbit_code': 68769808411, 'n': 6, 'trace_an': 0}
-
id: 4663387
{'hecke_orbit_code': 68769808411, 'n': 7, 'trace_an': -13}
-
id: 4663388
{'hecke_orbit_code': 68769808411, 'n': 8, 'trace_an': 0}
-
id: 4663389
{'hecke_orbit_code': 68769808411, 'n': 9, 'trace_an': 0}
-
id: 4663390
{'hecke_orbit_code': 68769808411, 'n': 10, 'trace_an': 0}
-
id: 4663391
{'hecke_orbit_code': 68769808411, 'n': 11, 'trace_an': 0}
-
id: 4663392
{'hecke_orbit_code': 68769808411, 'n': 12, 'trace_an': 0}
-
id: 4663393
{'hecke_orbit_code': 68769808411, 'n': 13, 'trace_an': -1}
-
id: 4663394
{'hecke_orbit_code': 68769808411, 'n': 14, 'trace_an': 0}
-
id: 4663395
{'hecke_orbit_code': 68769808411, 'n': 15, 'trace_an': 0}
-
id: 4663396
{'hecke_orbit_code': 68769808411, 'n': 16, 'trace_an': 16}
-
id: 4663397
{'hecke_orbit_code': 68769808411, 'n': 17, 'trace_an': 0}
-
id: 4663398
{'hecke_orbit_code': 68769808411, 'n': 18, 'trace_an': 0}
-
id: 4663399
{'hecke_orbit_code': 68769808411, 'n': 19, 'trace_an': 11}
-
id: 4663400
{'hecke_orbit_code': 68769808411, 'n': 20, 'trace_an': 0}
-
id: 4663401
{'hecke_orbit_code': 68769808411, 'n': 21, 'trace_an': 0}
-
id: 4663402
{'hecke_orbit_code': 68769808411, 'n': 22, 'trace_an': 0}
-
id: 4663403
{'hecke_orbit_code': 68769808411, 'n': 23, 'trace_an': 0}
-
id: 4663404
{'hecke_orbit_code': 68769808411, 'n': 24, 'trace_an': 0}
-
id: 4663405
{'hecke_orbit_code': 68769808411, 'n': 25, 'trace_an': 25}
-
id: 4663406
{'hecke_orbit_code': 68769808411, 'n': 26, 'trace_an': 0}
-
id: 4663407
{'hecke_orbit_code': 68769808411, 'n': 27, 'trace_an': 0}
-
id: 4663408
{'hecke_orbit_code': 68769808411, 'n': 28, 'trace_an': -52}
-
id: 4663409
{'hecke_orbit_code': 68769808411, 'n': 29, 'trace_an': 0}
-
id: 4663410
{'hecke_orbit_code': 68769808411, 'n': 30, 'trace_an': 0}
-
id: 4663411
{'hecke_orbit_code': 68769808411, 'n': 31, 'trace_an': -46}
-
id: 4663412
{'hecke_orbit_code': 68769808411, 'n': 32, 'trace_an': 0}
-
id: 4663413
{'hecke_orbit_code': 68769808411, 'n': 33, 'trace_an': 0}
-
id: 4663414
{'hecke_orbit_code': 68769808411, 'n': 34, 'trace_an': 0}
-
id: 4663415
{'hecke_orbit_code': 68769808411, 'n': 35, 'trace_an': 0}
-
id: 4663416
{'hecke_orbit_code': 68769808411, 'n': 36, 'trace_an': 0}
-
id: 4663417
{'hecke_orbit_code': 68769808411, 'n': 37, 'trace_an': 47}
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