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mf_newforms • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 11, 'char_parity': 1, 'char_values': [483, 11, [323, 346, 442], [11, 11, 6]], 'cm_discs': [], 'conrey_index': 64, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -20, 147, -135, 126, -100, 75, -37, 14, -5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553187, 'hecke_ring_generator_nbound': 3, '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, 23, 3, 1, 11, 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': True, 'label': '483.2.q.b', 'level': 483, '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': True, 'level_primes': [3, 7, 23], 'level_radical': 483, 'minimal_twist': '483.2.q.b', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\zeta_{22}-\\zeta_{22}^{2}-\\zeta_{22}^{4}-\\zeta_{22}^{6}+\\zeta_{22}^{7}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '483.2.q', 'trace_display': [5, -1, -5, -1], 'trace_hash': 1678510606462559598, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.498', 'prec': 20}, 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mf_hecke_cc • Show schema
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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.7557495743542583, 'embedding_root_real': 0.6548607339452851, 'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553187, 'label': '483.2.q.b.64.1', 'level': 483, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 11, 'char_parity': 1, 'char_values': [483, 11, [323, 346, 442], [11, 11, 6]], 'conrey_index': 64, 'cusp_dim': 600, 'dim': 240, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1099545182691, 'hecke_orbit_dims': [10, 10, 20, 60, 60, 80], 'label': '483.2.q', 'level': 483, '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': True, 'level_primes': [3, 7, 23], 'level_radical': 483, 'mf_dim': 680, 'mf_new_dim': 240, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [4, 0, 0, 4], 'traces': [240, 4, 0, -12, 0, 8, 4, 12, -24, 8, 16, 0, 16, 4, 16, -32, -28, 4, -12, 40, 4, -24, -20, 24, -44, -32, 0, 12, -12, 16, 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mf_twists_cc • Show schema
Hide schema
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id: 37191136
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553187, 'source_is_minimal': True, 'source_label': '483.2.q.b.64.1', 'source_level': 483, 'target_conrey_index': 64, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172553187, 'target_is_minimal': True, 'target_label': '483.2.q.b.64.1', 'target_level': 483, 'twist_class_label': '483.2.q.b.64.1', 'twist_class_level': 483, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 37191137
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553187, 'source_is_minimal': True, 'source_label': '483.2.q.b.64.1', 'source_level': 483, 'target_conrey_index': 400, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172553187, 'target_is_minimal': True, 'target_label': '483.2.q.b.400.1', 'target_level': 483, 'twist_class_label': '483.2.q.b.64.1', 'twist_class_level': 483, 'twisting_char_label': '23.9', 'twisting_conrey_index': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 950600
{'charpoly_factorization': [[[1, -20, 147, -135, 126, -100, 75, -37, 14, -5, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 2}
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id: 950601
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 3}
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id: 950602
{'charpoly_factorization': [[[1, -13, 103, 212, 225, 177, 97, 37, 14, 5, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 5}
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id: 950603
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 7}
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id: 950604
{'charpoly_factorization': [[[1, -38, 542, -1456, 1758, -1244, 632, -223, 59, -9, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 11}
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id: 950605
{'charpoly_factorization': [[[529, 1840, 3298, 3976, 3491, 2300, 1147, 416, 104, 15, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 13}
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id: 950606
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 17}
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id: 950607
{'charpoly_factorization': [[[1849, 5375, 10851, 14885, 13676, 8392, 3546, 1018, 185, 19, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 19}
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id: 950608
{'charpoly_factorization': [[[6436343, 5876661, 2956581, 1011977, 270733, 60543, 11771, 1913, 243, 21, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 23}
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id: 950609
{'charpoly_factorization': [[[121, -242, 7986, -34969, 56144, 6512, 517, -649, 22, 0, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 29}
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id: 950610
{'charpoly_factorization': [[[1024, -512, 256, -128, 64, -32, 16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 31}
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id: 950611
{'charpoly_factorization': [[[17161, 10349, 166687, 251177, 170351, 68025, 17730, 3095, 366, 27, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 37}
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id: 950612
{'charpoly_factorization': [[[58081, 132309, 2663, -299133, 211663, -55362, 20516, -934, 155, -10, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 41}
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id: 950613
{'charpoly_factorization': [[[1849, 8170, 12032, -4262, 4514, -1002, 1246, -207, 71, -15, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 43}
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id: 950614
{'charpoly_factorization': [[[1, 4, -9, -5, 9, 1], 2]], 'hecke_orbit_code': 4504699172553187, 'p': 47}
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id: 950615
{'charpoly_factorization': [[[6285049, 10993195, 3543820, -1478721, 450101, -87647, 15305, -1722, 251, -19, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 53}
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id: 950616
{'charpoly_factorization': [[[549011761, -42902161, 34946090, 170045, 11295, 8975, 8651, 382, 15, 13, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 59}
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id: 950617
{'charpoly_factorization': [[[389825536, -8845312, -30119168, -5040128, 863680, 319648, 60448, 5392, 412, 18, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 61}
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id: 950618
{'charpoly_factorization': [[[529, -2093, 9733, -20245, 29011, -9186, -162, -108, 115, 18, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 67}
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id: 950619
{'charpoly_factorization': [[[12538681, -10173293, 14414668, -6689906, 1612792, -273725, 48079, -7418, 718, -38, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 71}
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id: 950620
{'charpoly_factorization': [[[51739249, -74109479, 43270914, -13485437, 2618322, -350109, 37866, -3327, 273, -14, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 73}
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id: 950621
{'charpoly_factorization': [[[9765625, 25390625, 40234375, -16562500, 3515625, -553125, 60625, -4625, 350, -25, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 79}
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id: 950622
{'charpoly_factorization': [[[69169, 70484, 119014, 138448, 70700, 17984, 4338, 1029, 185, 19, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 83}
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id: 950623
{'charpoly_factorization': [[[570875449, 278902989, 584187773, 116895589, 9060397, -212917, -67839, -4151, 113, 17, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 89}
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id: 950624
{'charpoly_factorization': [[[2220577129, 987556711, 253613188, 53103823, 9201758, 1333949, 166197, 16251, 1147, 49, 1], 1]], 'hecke_orbit_code': 4504699172553187, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '483.2.q.b', 'level': 483, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 24429997
{'hecke_orbit_code': 4504699172553187, 'n': 1, 'trace_an': 10}
-
id: 24429998
{'hecke_orbit_code': 4504699172553187, 'n': 2, 'trace_an': 5}
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id: 24429999
{'hecke_orbit_code': 4504699172553187, 'n': 3, 'trace_an': -1}
-
id: 24430000
{'hecke_orbit_code': 4504699172553187, 'n': 4, 'trace_an': -1}
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id: 24430001
{'hecke_orbit_code': 4504699172553187, 'n': 5, 'trace_an': -5}
-
id: 24430002
{'hecke_orbit_code': 4504699172553187, 'n': 6, 'trace_an': -6}
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id: 24430003
{'hecke_orbit_code': 4504699172553187, 'n': 7, 'trace_an': -1}
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id: 24430004
{'hecke_orbit_code': 4504699172553187, 'n': 8, 'trace_an': 6}
-
id: 24430005
{'hecke_orbit_code': 4504699172553187, 'n': 9, 'trace_an': -1}
-
id: 24430006
{'hecke_orbit_code': 4504699172553187, 'n': 10, 'trace_an': 3}
-
id: 24430007
{'hecke_orbit_code': 4504699172553187, 'n': 11, 'trace_an': 9}
-
id: 24430008
{'hecke_orbit_code': 4504699172553187, 'n': 12, 'trace_an': -12}
-
id: 24430009
{'hecke_orbit_code': 4504699172553187, 'n': 13, 'trace_an': -15}
-
id: 24430010
{'hecke_orbit_code': 4504699172553187, 'n': 14, 'trace_an': -6}
-
id: 24430011
{'hecke_orbit_code': 4504699172553187, 'n': 15, 'trace_an': 6}
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id: 24430012
{'hecke_orbit_code': 4504699172553187, 'n': 16, 'trace_an': 5}
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id: 24430013
{'hecke_orbit_code': 4504699172553187, 'n': 17, 'trace_an': 1}
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id: 24430014
{'hecke_orbit_code': 4504699172553187, 'n': 18, 'trace_an': -6}
-
id: 24430015
{'hecke_orbit_code': 4504699172553187, 'n': 19, 'trace_an': -19}
-
id: 24430016
{'hecke_orbit_code': 4504699172553187, 'n': 20, 'trace_an': -5}
-
id: 24430017
{'hecke_orbit_code': 4504699172553187, 'n': 21, 'trace_an': -1}
-
id: 24430018
{'hecke_orbit_code': 4504699172553187, 'n': 22, 'trace_an': -12}
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id: 24430019
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