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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [11, -1]], 'atkin_lehner_string': '+++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], '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, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 1]], [13, [-2, 1]], [17, [5, 1]], [19, [6, 1]], [23, [7, 1]], [29, [-8, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444121574, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.p', 'level': 9702, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '1386.2.k.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/9702/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-1, 0, 1, 0], 'trace_hash': 773625839588720722, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.176', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.847', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, -1, 0, 1, 1, 0, 0, -1, 0, -1, 1, 0, 2, 0, 0, 1, -5, 0, -6, 1, 0, -1, -7, 0, -4, -2, 0, 0, 8, 0, 10, -1, 0, 5, 0, 0, -8, 6, 0, -1, -7, 0, 4, 1, 0, 7, 1, 0, 0, 4, 0, 2, -6, 0, 1, 0, 0, -8, -6, 0, 1, -10, 0, 1, 2, 0, 3, -5, 0, 0, 8, 0, 10, 8, 0, -6, 0, 0, -9, 1, 0, 7, 15, 0, -5, -4, 0, -1, 12, 0, 0, -7, 0, -1, -6, 0, 13, 0, 0, -4, -12, 0, 12, -2, 0, 6, 13, 0, 19, -1, 0, 0, -14, 0, -7, 8, 0, 6, 0, 0, 1, -1, 0, 10, -9, 0, 17, -1, 0, -2, -12, 0, 0, -3, 0, 5, 18, 0, 2, 0, 0, -8, 2, 0, 8, -10, 0, -8, 4, 0, 9, 6, 0, 0, 10, 0, 4, 9, 0, -1, 0, 0, 13, -7, 0, -15, 8, 0, -9, 5, 0, 4, 14, 0, 0, 1, 0, -12, 2, 0, 20, 0, 0, 7, -8, 0, -5, 1, 0, 6, -20, 0, 8, -13, 0, 0, 24, 0, -26, 4, 0, 12, 0, 0, -7, -12, 0, 2, -6, 0, -20, -6, 0, -13, 4, 0, 0, -19, 0, 1, -10, 0, 10, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 11, 10], [[[2, 1], [3, -1], [7, 1], [11, 1]], 13, 4], [[[2, -1], [3, 1], [7, 1], [11, 1]], 9, 6], [[[2, 1], [3, 1], [7, -1], [11, -1]], 8, 6], [[[2, -1], [3, -1], [7, 1], [11, 1]], 11, 6], [[[2, -1], [3, 1], [7, -1], [11, -1]], 11, 7], [[[2, 1], [3, -1], [7, -1], [11, -1]], 13, 9], [[[2, -1], [3, -1], [7, 1], [11, -1]], 15, 8], [[[2, -1], [3, -1], [7, -1], [11, 1]], 14, 10], [[[2, 1], [3, -1], [7, 1], [11, -1]], 13, 7], [[[2, -1], [3, 1], [7, -1], [11, 1]], 8, 6], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, -1], [11, 1]], 11, 7], [[[2, -1], [3, 1], [7, 1], [11, -1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [11, -1]], 9, 6], [[[2, 1], [3, -1], [7, -1], [11, 1]], 13, 9]], 'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1443707
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1386.2.k.g', 'target_level': 1386, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1443708
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1386.2.k.m', 'target_level': 1386, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1443709
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9702.2.a.k', 'target_level': 9702, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1443710
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9702.2.a.p', 'target_level': 9702, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1443711
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '9702.2.a.bj', 'target_level': 9702, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1443712
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '9702.2.a.p', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '9702.2.a.bw', 'target_level': 9702, 'twist_class_label': '1386.2.k.g', 'twist_class_level': 1386, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5100375
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 2}
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id: 5100376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 3}
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id: 5100377
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 5}
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id: 5100378
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 7}
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id: 5100379
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 11}
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id: 5100380
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 13}
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id: 5100381
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 17}
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id: 5100382
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 19}
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id: 5100383
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 23}
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id: 5100384
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 29}
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id: 5100385
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 31}
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id: 5100386
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 37}
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id: 5100387
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 41}
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id: 5100388
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 43}
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id: 5100389
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 47}
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id: 5100390
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 53}
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id: 5100391
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 59}
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id: 5100392
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 61}
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id: 5100393
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 67}
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id: 5100394
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 71}
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id: 5100395
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 73}
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id: 5100396
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 79}
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id: 5100397
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 83}
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id: 5100398
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 89}
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id: 5100399
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 67553994444121574, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '9702.2.a.p', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 236412000
{'hecke_orbit_code': 67553994444121574, 'n': 1, 'trace_an': 1}
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id: 236412001
{'hecke_orbit_code': 67553994444121574, 'n': 2, 'trace_an': -1}
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