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mf_newforms • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, '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': [810, 3, [731, 487], [1, 3]], 'cm_discs': [], 'conrey_index': 271, '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': [[7, [16, -4, 1]], [11, [2304, -48, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029071963980586, 'hecke_ring_generator_nbound': 5, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '810.4.e.i', 'level': 810, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '30.4.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-2+2\\zeta_{6})q^{2}-4\\zeta_{6}q^{4}+5\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '810.4.e', 'trace_display': [-2, 0, 5, 4], 'trace_hash': 579148389404881707, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.257', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-2, 2], [0, 0], [0, -4], [0, 5], [0, 0], [4, -4], [8, 0], [0, 0], [-10, 0], [48, -48], [0, 0], [0, -2], [0, 8], [0, 0], [-16, 16], [-114, 0], [0, 0], [140, 0], [20, -20], [0, 0], [0, 96], [0, -72], [0, 0], [-25, 25], [4, 0], [0, 0], [-16, 0], [-210, 210], [0, 0], [0, -272], [0, -32], [0, 0], [228, -228], [20, 0], [0, 0], [-334, 0], [-280, 280], [0, 0], [0, 40], [0, 198], [0, 0], [268, -268], [-192, 0], [0, 0], [144, 0], [-216, 216], [0, 0], [0, 327], [0, -50], [0, 0], [-8, 8], [-78, 0], [0, 0], [240, 0], [32, -32], [0, 0], [0, -420], [0, -240], [0, 0], [-302, 302], [544, 0], [0, 0], [64, 0], [10, -10], [0, 0], [0, -596], [0, 456], [0, 0], [-40, 40], [-768, 0], [0, 0], [-478, 0], [668, -668], [0, 0], [0, -560], [0, -192], [0, 0], [640, -640], [-80, 0], [0, 0], [-396, 0], [348, -348], [0, 0], [0, -570], [0, 536], [0, 0], [384, -384], [210, 0], [0, 0], [-8, 0], [-288, 288], [0, 0], [0, -432], [0, 700], [0, 0], [1534, -1534], [-654, 0], [0, 0], [100, 0]], 'ap': [[-2, 2], [0, 0], [0, 5], [4, -4], [48, -48], [0, -2], [-114, 0], [140, 0], [0, -72], [-210, 210], [0, -272], [-334, 0], [0, 198], [268, -268], [-216, 216], [-78, 0], [0, -240], [-302, 302], [0, -596], [-768, 0], [-478, 0], [640, -640], [348, -348], [210, 0], [1534, -1534], [-1722, 1722], [0, -1052], [-564, 0], [-610, 0], [0, -1302], [-124, 0], [0, -192], [2514, -2514], [0, -1340], [0, -1410], [2128, -2128], [0, -3026], [2612, 0], [0, 24], [-1962, 1962], [-120, 0], [902, 0], [168, -168], [0, 1318], [-4014, 0], [2000, 0], [0, 3868], [3148, -3148], [-2556, 2556], [0, 610], [-2058, 0], [0, -4920], [1438, -1438], [792, 0], [0, -2166], [-3192, 3192], [5490, 0], [-6328, 0], [574, -574], [-4242, 4242], [0, 628], [0, 558], [-6964, 0], [0, -2832], [-8642, 8642], [2214, -2214], [-10772, 10772], [0, 1654], [0, -2196], [-8270, 8270], [-10302, 10302], [-2280, 0], [8764, -8764], [0, 1318], [1100, 0], [0, 3528], [9630, -9630], [-3094, 0], [0, 1638], [0, 13750], [0, 12480], [-7262, 7262], [9792, 0], [1802, 0], [2320, -2320], [-11172, 11172], [6810, 0], [-17066, 17066], [18918, -18918], [0, -1052], [11076, 0], [9000, -9000], [-8764, 0], [0, -5592], [0, -4700], [-11808, 0], [0, -1170], [-16638, 0], [15692, 0], [-22018, 0], [4564, -4564], [-7734, 0], [0, 20148], [24030, -24030], [0, -2372], [8546, 0], [15444, -15444], [18342, 0], [0, -24600], [8998, -8998], [0, -4076], [-4078, 0], [0, -10086], [-8780, 8780], [2792, 0], [-7602, 7602], [0, -24212], [9456, 0], [0, 9558], [29280, -29280], [0, 29098], [11638, -11638], [-3426, 3426], [-20148, 0], [29428, -29428], [16242, 0], [-2030, 2030], [6960, 0], [-18596, 18596], [0, -21242], [-340, 0], [0, 21888], [0, -17792], [37346, 0], [0, 11358], [0, 34270], [-13278, 0], [0, 11164], [0, 5094], [-8790, 0], [5852, 0], [29478, -29478], [0, -39332], [6756, 0], [3950, 0], [-12360, 12360], [35998, -35998], [21594, -21594], [0, -9260], [31632, 0], [0, 39694], [1242, 0], [-2668, 0], [0, 4344], [-4436, 4436], [-22752, 22752], [-27160, 0], [33030, -33030], [-29974, 0], [0, -13962], [-35196, 35196], [-28338, 0], [0, 17524], [-26808, 0], [0, 10914], [-22272, 22272], [14072, 0], [-4826, 4826]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 36029071963980586, 'hecke_ring_character_values': [[731, [0, -1]], [487, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '810.4.e.i', 'level': 810, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, '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': [810, 3, [731, 487], [1, 3]], 'conrey_index': 271, 'cusp_dim': 924, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 274945016618, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '810.4.e', 'level': 810, 'level_is_powerful': False, '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, 3, 5], 'level_radical': 30, 'mf_dim': 1020, 'mf_new_dim': 96, 'num_forms': 34, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 648, 'trace_bound': 11, 'trace_display': [0, 0, 0, 120], 'traces': [96, 0, 0, -192, 0, 0, 120, 0, 0, 0, 0, 0, -240, 0, 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354240, 0, 0, -71568, 0, 0, 311388, 0, 0, 0, 0, 0, 0, 0, 0, 110592, 0, 0, 72900, 0, 0, 52032, 0, 0, 188112, 0, 0, 104400, 0, 0, -13224, 0, 0, -3264, 0, 0, -172152, 0, 0, -81936, 0, 0, 144720, 0, 0, -124752, 0, 0, 179904, 0, 0, 139104, 0, 0, -89772, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 513697
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '30.4.a.b', 'target_level': 30, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513698
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '90.4.a.c', 'target_level': 90, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 513699
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '150.4.a.b', 'target_level': 150, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 513700
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '150.4.c.c', 'target_level': 150, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 513701
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '240.4.a.b', 'target_level': 240, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 513702
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '450.4.a.r', 'target_level': 450, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513703
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '450.4.c.j', 'target_level': 450, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 513704
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '720.4.a.y', 'target_level': 720, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513705
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '810.4.e.i', 'target_level': 810, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 513706
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '810.4.e.i', 'target_level': 810, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513707
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '810.4.e.p', 'target_level': 810, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 513708
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '810.4.e.p', 'target_level': 810, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 513709
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '960.4.a.n', 'target_level': 960, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 513710
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '960.4.a.bg', 'target_level': 960, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 513711
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1200.4.a.ba', 'target_level': 1200, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 513712
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1200.4.f.r', 'target_level': 1200, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 513713
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '810.4.e.i', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1470.4.a.r', 'target_level': 1470, 'twist_class_label': '30.4.a.b', 'twist_class_level': 30, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1356275
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 2}
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id: 1356276
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 3}
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id: 1356277
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 5}
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id: 1356278
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 7}
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id: 1356279
{'charpoly_factorization': [[[2304, -48, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 11}
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id: 1356280
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 13}
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id: 1356281
{'charpoly_factorization': [[[114, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 17}
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id: 1356282
{'charpoly_factorization': [[[-140, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 19}
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id: 1356283
{'charpoly_factorization': [[[5184, 72, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 23}
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id: 1356284
{'charpoly_factorization': [[[44100, 210, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 29}
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id: 1356285
{'charpoly_factorization': [[[73984, 272, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 31}
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id: 1356286
{'charpoly_factorization': [[[334, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 37}
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id: 1356287
{'charpoly_factorization': [[[39204, -198, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 41}
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id: 1356288
{'charpoly_factorization': [[[71824, -268, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 43}
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id: 1356289
{'charpoly_factorization': [[[46656, 216, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 47}
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id: 1356290
{'charpoly_factorization': [[[78, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 53}
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id: 1356291
{'charpoly_factorization': [[[57600, 240, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 59}
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id: 1356292
{'charpoly_factorization': [[[91204, 302, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 61}
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id: 1356293
{'charpoly_factorization': [[[355216, 596, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 67}
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id: 1356294
{'charpoly_factorization': [[[768, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 71}
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id: 1356295
{'charpoly_factorization': [[[478, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 73}
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id: 1356296
{'charpoly_factorization': [[[409600, -640, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 79}
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id: 1356297
{'charpoly_factorization': [[[121104, -348, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 83}
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id: 1356298
{'charpoly_factorization': [[[-210, 1], 2]], 'hecke_orbit_code': 36029071963980586, 'p': 89}
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id: 1356299
{'charpoly_factorization': [[[2353156, -1534, 1], 1]], 'hecke_orbit_code': 36029071963980586, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 9, 'label': '810.4.e.i', 'level': 810, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 52058185
{'hecke_orbit_code': 36029071963980586, 'n': 1, 'trace_an': 2}
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id: 52058186
{'hecke_orbit_code': 36029071963980586, 'n': 2, 'trace_an': -2}
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id: 52058187
{'hecke_orbit_code': 36029071963980586, 'n': 3, 'trace_an': 0}
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id: 52058188
{'hecke_orbit_code': 36029071963980586, 'n': 4, 'trace_an': -4}
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id: 52058189
{'hecke_orbit_code': 36029071963980586, 'n': 5, 'trace_an': 5}
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id: 52058190
{'hecke_orbit_code': 36029071963980586, 'n': 6, 'trace_an': 0}
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id: 52058191
{'hecke_orbit_code': 36029071963980586, 'n': 7, 'trace_an': 4}
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id: 52058192
{'hecke_orbit_code': 36029071963980586, 'n': 8, 'trace_an': 16}
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id: 52058193
{'hecke_orbit_code': 36029071963980586, 'n': 9, 'trace_an': 0}
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id: 52058194
{'hecke_orbit_code': 36029071963980586, 'n': 10, 'trace_an': -20}
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id: 52058195
{'hecke_orbit_code': 36029071963980586, 'n': 11, 'trace_an': 48}
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id: 52058196
{'hecke_orbit_code': 36029071963980586, 'n': 12, 'trace_an': 0}
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id: 52058197
{'hecke_orbit_code': 36029071963980586, 'n': 13, 'trace_an': -2}
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id: 52058198
{'hecke_orbit_code': 36029071963980586, 'n': 14, 'trace_an': 8}
-
id: 52058199
{'hecke_orbit_code': 36029071963980586, 'n': 15, 'trace_an': 0}
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id: 52058200
{'hecke_orbit_code': 36029071963980586, 'n': 16, 'trace_an': -16}
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id: 52058201
{'hecke_orbit_code': 36029071963980586, 'n': 17, 'trace_an': -228}
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id: 52058202
{'hecke_orbit_code': 36029071963980586, 'n': 18, 'trace_an': 0}
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id: 52058203
{'hecke_orbit_code': 36029071963980586, 'n': 19, 'trace_an': 280}
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id: 52058204
{'hecke_orbit_code': 36029071963980586, 'n': 20, 'trace_an': 20}
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id: 52058205
{'hecke_orbit_code': 36029071963980586, 'n': 21, 'trace_an': 0}
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id: 52058206
{'hecke_orbit_code': 36029071963980586, 'n': 22, 'trace_an': 96}
-
id: 52058207
{'hecke_orbit_code': 36029071963980586, 'n': 23, 'trace_an': -72}
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id: 52058208
{'hecke_orbit_code': 36029071963980586, 'n': 24, 'trace_an': 0}
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id: 52058209
{'hecke_orbit_code': 36029071963980586, 'n': 25, 'trace_an': -25}
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id: 52058210
{'hecke_orbit_code': 36029071963980586, 'n': 26, 'trace_an': 8}
-
id: 52058211
{'hecke_orbit_code': 36029071963980586, 'n': 27, 'trace_an': 0}
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id: 52058212
{'hecke_orbit_code': 36029071963980586, 'n': 28, 'trace_an': -32}
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id: 52058213
{'hecke_orbit_code': 36029071963980586, 'n': 29, 'trace_an': -210}
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id: 52058214
{'hecke_orbit_code': 36029071963980586, 'n': 30, 'trace_an': 0}
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id: 52058215
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