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{'Nk2': 27720, 'analytic_conductor': 55.33632860074731, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 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': [6930, 1, [1541, 1387, 2971, 2521], [1, 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': [[13, [4, 1]], [17, [-2, 1]], [19, [6, 1]], [23, [-6, 1]], [29, [2, 1]], [31, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288302354, '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': True, 'label': '6930.2.a.c', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '6930.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/6930/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6930.2.a', 'trace_display': [-1, 0, -1, 1], 'trace_hash': 413133265066824509, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.243', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.156', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, 'traces': [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, -4, -1, 0, 1, 2, 0, -6, -1, 0, 1, 6, 0, 1, 4, 0, 1, -2, 0, 0, -1, 0, -2, -1, 0, -10, 6, 0, 1, 6, 0, -2, -1, 0, -6, 2, 0, 1, -1, 0, -4, 6, 0, 1, -1, 0, 2, 0, 0, -4, 0, 0, 1, 4, 0, -8, 2, 0, 1, -6, 0, 6, 10, 0, -6, -1, 0, 4, -1, 0, -6, 12, 0, -2, 2, 0, 1, -4, 0, -4, 6, 0, -2, 6, 0, -2, -1, 0, 1, 10, 0, -8, 4, 0, -6, -4, 0, 16, -1, 0, 1, -12, 0, -6, -2, 0, 0, 2, 0, 1, 4, 0, 0, -1, 0, 20, -1, 0, -4, 12, 0, -6, 8, 0, -2, 8, 0, 18, -1, 0, 6, 4, 0, 2, -6, 0, -10, 10, 0, -12, 6, 0, 1, 0, 0, -10, -4, 0, 1, 6, 0, 0, 6, 0, -12, 0, 0, 3, 2, 0, -2, 6, 0, 1, -1, 0, 4, -4, 0, 14, 4, 0, -6, 10, 0, -2, 2, 0, -6, -10, 0, 14, 2, 0, 1, -14, 0, 16, -1, 0, -10, -2, 0, -6, 8, 0, -4, 6, 0, -14, 6, 0, 4, 2, 0, 0, -16, 0, 1, -8, 0, 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'embedding_root_real': 0.0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288302354, 'label': '6930.2.a.c.1.1', 'level': 6930, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [5, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, 1]], 5, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 1]], 'ALdims': [3, 3, 1, 3, 1, 3, 3, 3, 5, 2, 3, 5, 4, 4, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 5, 4, 3, 5, 2, 2, 6], 'Nk2': 27720, 'analytic_conductor': 55.33632860074731, '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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 100, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561362, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '6930.2.a', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1760, 'mf_new_dim': 100, 'num_forms': 65, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -16, 0, -16, 0, 0, -4, -24, 0, 100, -8, 0, 0, -16, 0, -8, 0, 0, 0, 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-168, 512, 0, 32, 0, 0, 336, -32, 0, 0, -192, 0, -144, -160, 0, -192, 0, 0, -64, -72, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40267790
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288302354, 'source_is_minimal': True, 'source_label': '6930.2.a.c.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302354, 'target_is_minimal': True, 'target_label': '6930.2.a.c.1.1', 'target_level': 6930, 'twist_class_label': '6930.2.a.c.1.1', 'twist_class_level': 6930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40267791
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288302354, 'source_is_minimal': True, 'source_label': '6930.2.a.c.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991528722, 'target_is_minimal': True, 'target_label': '6930.2.a.bj.1.1', 'target_level': 6930, 'twist_class_label': '6930.2.a.c.1.1', 'twist_class_level': 6930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4327750
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 2}
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id: 4327751
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 3}
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id: 4327752
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 5}
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id: 4327753
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 7}
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id: 4327754
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 11}
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id: 4327755
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 13}
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id: 4327756
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 17}
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id: 4327757
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 19}
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id: 4327758
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 23}
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id: 4327759
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 29}
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id: 4327760
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 31}
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id: 4327761
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 37}
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id: 4327762
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 41}
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id: 4327763
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 43}
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id: 4327764
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 47}
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id: 4327765
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 53}
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id: 4327766
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 59}
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id: 4327767
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 61}
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id: 4327768
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 67}
-
id: 4327769
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 71}
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id: 4327770
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 73}
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id: 4327771
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 79}
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id: 4327772
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 83}
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id: 4327773
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 89}
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id: 4327774
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288302354, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '6930.2.a.c', 'level': 6930, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 106972000
{'hecke_orbit_code': 9007199288302354, 'n': 1, 'trace_an': 1}
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id: 106972001
{'hecke_orbit_code': 9007199288302354, 'n': 2, 'trace_an': -1}
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id: 106972002
{'hecke_orbit_code': 9007199288302354, 'n': 3, 'trace_an': 0}
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id: 106972003
{'hecke_orbit_code': 9007199288302354, 'n': 4, 'trace_an': 1}
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id: 106972004
{'hecke_orbit_code': 9007199288302354, 'n': 5, 'trace_an': -1}
-
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id: 106972985
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id: 106972986
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id: 106972987
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id: 106972988
{'hecke_orbit_code': 9007199288302354, 'n': 989, 'trace_an': -12}
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id: 106972989
{'hecke_orbit_code': 9007199288302354, 'n': 990, 'trace_an': 0}
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id: 106972990
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id: 106972991
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id: 106972992
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id: 106972993
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id: 106972994
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id: 106972995
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id: 106972996
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id: 106972997
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id: 106972998
{'hecke_orbit_code': 9007199288302354, 'n': 999, 'trace_an': 0}
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id: 106972999
{'hecke_orbit_code': 9007199288302354, 'n': 1000, 'trace_an': 1}