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{'Nk2': 28800, 'analytic_conductor': 106.2034380103331, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [1800, 1, [1351, 901, 1001, 577], [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': [[7, [26, 1]], [11, [-59, 1]], [17, [-5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321851656, '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': '1800.4.a.c', 'level': 1800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '200.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-26q^{7}+59q^{11}-28q^{13}+5q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1800.4.a', 'trace_display': [0, 0, 0, -26], 'trace_hash': 1450120317933936805, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.872', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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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], [5, 1]], 9, 8], [[[2, -1], [3, -1], [5, -1]], 11, 8], [[[2, 1], [3, -1], [5, -1]], 12, 9], [[[2, -1], [3, 1], [5, 1]], 7, 5], [[[2, -1], [3, 1], [5, -1]], 7, 2], [[[2, 1], [3, 1], [5, -1]], 7, 2], [[[2, 1], [3, 1], [5, 1]], 7, 5], [[[2, -1], [3, -1], [5, 1]], 11, 10]], 'ALdims': [7, 7, 9, 12, 7, 7, 11, 11], 'Nk2': 28800, 'analytic_conductor': 106.2034380103331, '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': [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1032, 'dim': 71, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67110664, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '1800.4.a', 'level': 1800, 'level_is_prime': False, 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0, -356336, 0, -462318, 0, 0, 0, 340470, 0, -993352, 0, 0, 0, 360192, 0, 0, 0, 0, 0, -725236, 0, -889018, 0, 0, 0, 0, 0, -1898444, 0, 0, 0, 1484692, 0, -237592, 0, 0, 0, 444736, 0, -1429630, 0, 0, 0, -1083636, 0, 0, 0, 0, 0, 975188, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 818474
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '200.4.a.b', 'target_level': 200, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818475
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '200.4.a.j', 'target_level': 200, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 818476
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '200.4.c.b', 'target_level': 200, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 818477
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.4.a.a', 'target_level': 400, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 818478
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '400.4.a.t', 'target_level': 400, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818479
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.4.c.b', 'target_level': 400, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 818480
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.4.a.b', 'target_level': 1600, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 818481
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1600.4.a.c', 'target_level': 1600, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 818482
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '1600.4.a.by', 'target_level': 1600, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 818483
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '1600.4.a.bz', 'target_level': 1600, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 818484
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1800.4.a.c', 'target_level': 1800, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 818485
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1800.4.a.bh', 'target_level': 1800, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 818486
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1800.4.a.c', 'source_level': 1800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1800.4.f.w', 'target_level': 1800, 'twist_class_label': '200.4.a.b', 'twist_class_level': 200, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2218925
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 2}
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id: 2218926
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 3}
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id: 2218927
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 5}
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id: 2218928
{'charpoly_factorization': [[[26, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 7}
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id: 2218929
{'charpoly_factorization': [[[-59, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 11}
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id: 2218930
{'charpoly_factorization': [[[28, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 13}
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id: 2218931
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 17}
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id: 2218932
{'charpoly_factorization': [[[-109, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 19}
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id: 2218933
{'charpoly_factorization': [[[194, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 23}
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id: 2218934
{'charpoly_factorization': [[[-32, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 29}
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id: 2218935
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 31}
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id: 2218936
{'charpoly_factorization': [[[-198, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 37}
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id: 2218937
{'charpoly_factorization': [[[117, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 41}
-
id: 2218938
{'charpoly_factorization': [[[388, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 43}
-
id: 2218939
{'charpoly_factorization': [[[68, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 47}
-
id: 2218940
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 53}
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id: 2218941
{'charpoly_factorization': [[[392, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 59}
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id: 2218942
{'charpoly_factorization': [[[710, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 61}
-
id: 2218943
{'charpoly_factorization': [[[-253, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 67}
-
id: 2218944
{'charpoly_factorization': [[[-612, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 71}
-
id: 2218945
{'charpoly_factorization': [[[-549, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 73}
-
id: 2218946
{'charpoly_factorization': [[[-414, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 79}
-
id: 2218947
{'charpoly_factorization': [[[121, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 83}
-
id: 2218948
{'charpoly_factorization': [[[-81, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 89}
-
id: 2218949
{'charpoly_factorization': [[[-1502, 1], 1]], 'hecke_orbit_code': 9007199321851656, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1800.4.a.c', 'level': 1800, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 111178000
{'hecke_orbit_code': 9007199321851656, 'n': 1, 'trace_an': 1}
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id: 111178001
{'hecke_orbit_code': 9007199321851656, 'n': 2, 'trace_an': 0}
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id: 111178002
{'hecke_orbit_code': 9007199321851656, 'n': 3, 'trace_an': 0}
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id: 111178003
{'hecke_orbit_code': 9007199321851656, 'n': 4, 'trace_an': 0}
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id: 111178004
{'hecke_orbit_code': 9007199321851656, 'n': 5, 'trace_an': 0}
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id: 111178005
{'hecke_orbit_code': 9007199321851656, 'n': 6, 'trace_an': 0}
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id: 111178006
{'hecke_orbit_code': 9007199321851656, 'n': 7, 'trace_an': -26}
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id: 111178007
{'hecke_orbit_code': 9007199321851656, 'n': 8, 'trace_an': 0}
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id: 111178008
{'hecke_orbit_code': 9007199321851656, 'n': 9, 'trace_an': 0}
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id: 111178009
{'hecke_orbit_code': 9007199321851656, 'n': 10, 'trace_an': 0}
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id: 111178010
{'hecke_orbit_code': 9007199321851656, 'n': 11, 'trace_an': 59}
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id: 111178011
{'hecke_orbit_code': 9007199321851656, 'n': 12, 'trace_an': 0}
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id: 111178012
{'hecke_orbit_code': 9007199321851656, 'n': 13, 'trace_an': -28}
-
id: 111178013
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