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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'conrey_indexes': [361, 961], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4, 2, 1]], [13, [2, 1]], [17, [16, 4, 1]], [19, [0, 1]], [31, [4, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044110782, 'hecke_ring_generator_nbound': 2, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1470.2.i.c', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1470.2.a.n', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1470.2.i', 'trace_display': [-1, -1, 1, 0], 'trace_hash': 2072180724742141128, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.373', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.973', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 608, 'dim': 56, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 31], 'hecke_orbit_code': 549789369790, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1470.2.i', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 736, 'mf_new_dim': 56, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -28, 0, 0, 0, 0, -28, 4, -4, 0, -16, 0, 0, -28, -8, 0, -4, 0, 0, 16, 0, 0, -28, -4, 0, 0, 32, 0, -8, 0, 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-88, 64, 0, 0, -184, 88, 96, 0, 0, 0, -608, -40, -32, 16, 32, 16, 0, -48, 104, 0, -240, -96, -160, 0, 392, 0, -128, -56, 0, 232, 0, -96, 148, 8, -64, 32, -128, 0, 112, -100, -16, -440, -172, 16, 0, 208, -216, -8, -112, -64, 320, 0, -144, -32, -40, 64, 0, 80, 0, 192, 312, 8, -224, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 741766
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1470.2.a.n', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 741767
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '1470.2.a.p', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 741768
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.i.c', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 741769
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.i.c', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 741770
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.i.g', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 741771
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.i.g', 'target_level': 1470, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 741772
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4410.2.a.e', 'target_level': 4410, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 741773
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4410.2.a.n', 'target_level': 4410, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 741774
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '7350.2.a.o', 'target_level': 7350, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 741775
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1470.2.i.c', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '7350.2.a.bh', 'target_level': 7350, 'twist_class_label': '1470.2.a.n', 'twist_class_level': 1470, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1973225
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 2}
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id: 1973226
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 3}
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id: 1973227
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 5}
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id: 1973228
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 7}
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id: 1973229
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 11}
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id: 1973230
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 13}
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id: 1973231
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 17}
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id: 1973232
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 19}
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id: 1973233
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 23}
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id: 1973234
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 29}
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id: 1973235
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 31}
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id: 1973236
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 37}
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id: 1973237
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 41}
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id: 1973238
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 43}
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id: 1973239
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 47}
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id: 1973240
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 53}
-
id: 1973241
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 59}
-
id: 1973242
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 61}
-
id: 1973243
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 67}
-
id: 1973244
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 71}
-
id: 1973245
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 73}
-
id: 1973246
{'charpoly_factorization': [[[256, 16, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 79}
-
id: 1973247
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 83}
-
id: 1973248
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 9007749044110782, 'p': 89}
-
id: 1973249
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007749044110782, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '1470.2.i.c', 'level': 1470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 120914000
{'hecke_orbit_code': 9007749044110782, 'n': 1, 'trace_an': 2}
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id: 120914001
{'hecke_orbit_code': 9007749044110782, 'n': 2, 'trace_an': -1}
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id: 120914002
{'hecke_orbit_code': 9007749044110782, 'n': 3, 'trace_an': -1}
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id: 120914003
{'hecke_orbit_code': 9007749044110782, 'n': 4, 'trace_an': -1}
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id: 120914004
{'hecke_orbit_code': 9007749044110782, 'n': 5, 'trace_an': 1}
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id: 120914005
{'hecke_orbit_code': 9007749044110782, 'n': 6, 'trace_an': 2}
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id: 120914006
{'hecke_orbit_code': 9007749044110782, 'n': 7, 'trace_an': 0}
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id: 120914007
{'hecke_orbit_code': 9007749044110782, 'n': 8, 'trace_an': 2}
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id: 120914008
{'hecke_orbit_code': 9007749044110782, 'n': 9, 'trace_an': -1}
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id: 120914009
{'hecke_orbit_code': 9007749044110782, 'n': 10, 'trace_an': 1}
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id: 120914010
{'hecke_orbit_code': 9007749044110782, 'n': 11, 'trace_an': -2}
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id: 120914011
{'hecke_orbit_code': 9007749044110782, 'n': 12, 'trace_an': -1}
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id: 120914012
{'hecke_orbit_code': 9007749044110782, 'n': 13, 'trace_an': -4}
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id: 120914013
{'hecke_orbit_code': 9007749044110782, 'n': 14, 'trace_an': 0}
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id: 120914014
{'hecke_orbit_code': 9007749044110782, 'n': 15, 'trace_an': -2}
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id: 120914015
{'hecke_orbit_code': 9007749044110782, 'n': 16, 'trace_an': -1}
-
id: 120914016
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