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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4560, 2, [1711, 1141, 3041, 2737, 1921], [1, 2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 2431, 'conrey_indexes': [2431], 'dim': 12, 'field_disc': 5312761827579039744, 'field_disc_factorization': [[2, 12], [3, 6], [311, 2], [4289, 2]], 'field_poly': [4, 0, 63, 0, 245, 0, 362, 0, 202, 0, 35, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [2304, 0, 42864, 0, 40228, 0, 10480, 0, 1148, 0, 56, 0, 1]], [31, [-3392, -2168, 724, 256, -52, -6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532602838323664, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 18432, 'hecke_ring_index_factorization': [[2, 11], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 76, 4, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4560.2.d.j', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '4560.2.d.j', 'prim_orbit_index': 4, 'qexp_display': 'q-q^{3}+q^{5}+\\beta _{2}q^{7}+q^{9}+\\beta _{6}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.d', 'trace_display': [0, -12, 12, 0], 'trace_hash': 709770438666240493, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.324', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'char_conductor': 76, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4560, 2, [1711, 1141, 3041, 2737, 1921], [1, 2, 2, 2, 1]], 'conrey_index': 2431, 'cusp_dim': 936, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 31], 'hecke_orbit_code': 206191989200, 'hecke_orbit_dims': [2, 2, 2, 2, 6, 6, 6, 6, 12, 12, 12, 12], 'label': '4560.2.d', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 80, 'num_forms': 12, 'prim_orbit_index': 4, 'relative_dim': 80, 'sturm_bound': 1920, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46932180
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2431, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532602838323664, 'source_is_minimal': True, 'source_label': '4560.2.d.j.2431.6', 'source_level': 4560, 'target_conrey_index': 2431, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532602838323664, 'target_is_minimal': True, 'target_label': '4560.2.d.j.2431.6', 'target_level': 4560, 'twist_class_label': '4560.2.d.j.2431.6', 'twist_class_level': 4560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46932181
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2431, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532602838323664, 'source_is_minimal': True, 'source_label': '4560.2.d.j.2431.6', 'source_level': 4560, 'target_conrey_index': 2431, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 49539802093064656, 'target_is_minimal': True, 'target_label': '4560.2.d.l.2431.7', 'target_level': 4560, 'twist_class_label': '4560.2.d.j.2431.6', 'twist_class_level': 4560, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46932182
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2431, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532602838323664, 'source_is_minimal': True, 'source_label': '4560.2.d.j.2431.6', 'source_level': 4560, 'target_conrey_index': 2431, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539802093064656, 'target_is_minimal': True, 'target_label': '4560.2.d.l.2431.6', 'target_level': 4560, 'twist_class_label': '4560.2.d.j.2431.6', 'twist_class_level': 4560, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46932183
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2431, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532602838323664, 'source_is_minimal': True, 'source_label': '4560.2.d.j.2431.6', 'source_level': 4560, 'target_conrey_index': 2431, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532602838323664, 'target_is_minimal': True, 'target_label': '4560.2.d.j.2431.7', 'target_level': 4560, 'twist_class_label': '4560.2.d.j.2431.6', 'twist_class_level': 4560, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3635275
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 40532602838323664, 'p': 2}
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id: 3635276
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 40532602838323664, 'p': 3}
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id: 3635277
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 40532602838323664, 'p': 5}
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id: 3635278
{'charpoly_factorization': [[[2304, 0, 42864, 0, 40228, 0, 10480, 0, 1148, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 7}
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id: 3635279
{'charpoly_factorization': [[[46656, 0, 146016, 0, 78148, 0, 16720, 0, 1628, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 11}
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id: 3635280
{'charpoly_factorization': [[[5308416, 0, 3923136, 0, 915844, 0, 95872, 0, 4892, 0, 116, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 13}
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id: 3635281
{'charpoly_factorization': [[[-2592, -504, 820, 104, -64, -2, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 17}
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id: 3635282
{'charpoly_factorization': [[[47045881, 0, 3388346, 438976, 170031, 44992, 4652, 2368, 471, 64, 26, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 19}
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id: 3635283
{'charpoly_factorization': [[[7485696, 0, 37862784, 0, 7555984, 0, 499072, 0, 14744, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 23}
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id: 3635284
{'charpoly_factorization': [[[36864, 0, 102336, 0, 94180, 0, 32128, 0, 3596, 0, 116, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 29}
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id: 3635285
{'charpoly_factorization': [[[-3392, -2168, 724, 256, -52, -6, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 31}
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id: 3635286
{'charpoly_factorization': [[[2657608704, 0, 1107646848, 0, 92838340, 0, 3093712, 0, 48332, 0, 356, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 37}
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id: 3635287
{'charpoly_factorization': [[[50466816, 0, 35407536, 0, 7112260, 0, 503264, 0, 15452, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 41}
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id: 3635288
{'charpoly_factorization': [[[7043909184, 0, 2716191456, 0, 174292708, 0, 4700032, 0, 62588, 0, 404, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 43}
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id: 3635289
{'charpoly_factorization': [[[20736, 0, 316800, 0, 1177360, 0, 200000, 0, 10616, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 47}
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id: 3635290
{'charpoly_factorization': [[[603979776, 0, 209750784, 0, 24686224, 0, 1204480, 0, 26984, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 53}
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id: 3635291
{'charpoly_factorization': [[[36864, -192, -17120, -2560, 72, 26, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 59}
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id: 3635292
{'charpoly_factorization': [[[42736, -7808, -10284, -1072, 168, 28, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 61}
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id: 3635293
{'charpoly_factorization': [[[205696, -75712, -1512, 2440, -120, -16, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 67}
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id: 3635294
{'charpoly_factorization': [[[9216, 9408, 1624, -440, -96, 4, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 71}
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id: 3635295
{'charpoly_factorization': [[[-10784, 24960, -12616, 2072, -44, -16, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 73}
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id: 3635296
{'charpoly_factorization': [[[-622592, -263168, 21504, 4736, -336, -14, 1], 2]], 'hecke_orbit_code': 40532602838323664, 'p': 79}
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id: 3635297
{'charpoly_factorization': [[[8617780224, 0, 1827805632, 0, 127443088, 0, 3821920, 0, 55208, 0, 380, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 83}
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id: 3635298
{'charpoly_factorization': [[[1201038336, 0, 367093680, 0, 40092004, 0, 2009296, 0, 47516, 0, 464, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 89}
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id: 3635299
{'charpoly_factorization': [[[7481558016, 0, 3424592256, 0, 293339044, 0, 7933936, 0, 93308, 0, 500, 0, 1], 1]], 'hecke_orbit_code': 40532602838323664, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 10, 'label': '4560.2.d.j', 'level': 4560, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 208708000
{'hecke_orbit_code': 40532602838323664, 'n': 1, 'trace_an': 12}
-
id: 208708001
{'hecke_orbit_code': 40532602838323664, 'n': 2, 'trace_an': 0}
-
id: 208708002
{'hecke_orbit_code': 40532602838323664, 'n': 3, 'trace_an': -12}
-
id: 208708003
{'hecke_orbit_code': 40532602838323664, 'n': 4, 'trace_an': 0}
-
id: 208708004
{'hecke_orbit_code': 40532602838323664, 'n': 5, 'trace_an': 12}
-
id: 208708005
{'hecke_orbit_code': 40532602838323664, 'n': 6, 'trace_an': 0}
-
id: 208708006
{'hecke_orbit_code': 40532602838323664, 'n': 7, 'trace_an': 0}
-
id: 208708007
{'hecke_orbit_code': 40532602838323664, 'n': 8, 'trace_an': 0}
-
id: 208708008
{'hecke_orbit_code': 40532602838323664, 'n': 9, 'trace_an': 12}
-
id: 208708009
{'hecke_orbit_code': 40532602838323664, 'n': 10, 'trace_an': 0}
-
id: 208708010
{'hecke_orbit_code': 40532602838323664, 'n': 11, 'trace_an': 0}
-
id: 208708011
{'hecke_orbit_code': 40532602838323664, 'n': 12, 'trace_an': 0}
-
id: 208708012
{'hecke_orbit_code': 40532602838323664, 'n': 13, 'trace_an': 0}
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id: 208708013
{'hecke_orbit_code': 40532602838323664, 'n': 14, 'trace_an': 0}
-
id: 208708014
{'hecke_orbit_code': 40532602838323664, 'n': 15, 'trace_an': -12}
-
id: 208708015
{'hecke_orbit_code': 40532602838323664, 'n': 16, 'trace_an': 0}
-
id: 208708016
{'hecke_orbit_code': 40532602838323664, 'n': 17, 'trace_an': 4}
-
id: 208708017
{'hecke_orbit_code': 40532602838323664, 'n': 18, 'trace_an': 0}
-
id: 208708018
{'hecke_orbit_code': 40532602838323664, 'n': 19, 'trace_an': 0}
-
id: 208708019
{'hecke_orbit_code': 40532602838323664, 'n': 20, 'trace_an': 0}
-
id: 208708020
{'hecke_orbit_code': 40532602838323664, 'n': 21, 'trace_an': 0}
-
id: 208708021
{'hecke_orbit_code': 40532602838323664, 'n': 22, 'trace_an': 0}
-
id: 208708022
{'hecke_orbit_code': 40532602838323664, 'n': 23, 'trace_an': 0}
-
id: 208708023
{'hecke_orbit_code': 40532602838323664, 'n': 24, 'trace_an': 0}
-
id: 208708024
{'hecke_orbit_code': 40532602838323664, 'n': 25, 'trace_an': 12}
-
id: 208708025
{'hecke_orbit_code': 40532602838323664, 'n': 26, 'trace_an': 0}
-
id: 208708026
{'hecke_orbit_code': 40532602838323664, 'n': 27, 'trace_an': -12}
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id: 208708027
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{'hecke_orbit_code': 40532602838323664, 'n': 998, 'trace_an': 0}
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id: 208708998
{'hecke_orbit_code': 40532602838323664, 'n': 999, 'trace_an': 0}
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id: 208708999
{'hecke_orbit_code': 40532602838323664, 'n': 1000, 'trace_an': 0}