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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, '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, [36, 6, 1]], [13, [6, 1]], [17, [0, 1]], [19, [16, 4, 1]], [31, [4, -2, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561743454668222, '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.r', '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.c', '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': 2096776464249519749, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.819', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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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: 742050
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1470.2.a.c', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742051
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1470.2.a.i', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742052
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1470.2.i.k', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 742053
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1470.2.i.k', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742054
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1470.2.i.r', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 742055
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1470.2.i.r', 'target_level': 1470, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742056
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4410.2.a.v', 'target_level': 4410, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 742057
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4410.2.a.be', 'target_level': 4410, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742058
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7350.2.a.cf', 'target_level': 7350, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 742059
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1470.2.i.r', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 79, 'target_is_minimal': False, 'target_label': '7350.2.a.da', 'target_level': 7350, 'twist_class_label': '1470.2.a.c', 'twist_class_level': 1470, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1973425
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 2}
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id: 1973426
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 3}
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id: 1973427
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 5}
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id: 1973428
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 7}
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id: 1973429
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 11}
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id: 1973430
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 13}
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id: 1973431
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 17}
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id: 1973432
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 19}
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id: 1973433
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 23}
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id: 1973434
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 29}
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id: 1973435
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 31}
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id: 1973436
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 37}
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id: 1973437
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 41}
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id: 1973438
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 43}
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id: 1973439
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 47}
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id: 1973440
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 53}
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id: 1973441
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 59}
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id: 1973442
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 61}
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id: 1973443
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 67}
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id: 1973444
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 71}
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id: 1973445
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 73}
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id: 1973446
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 79}
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id: 1973447
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 83}
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id: 1973448
{'charpoly_factorization': [[[324, 18, 1], 1]], 'hecke_orbit_code': 76561743454668222, 'p': 89}
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id: 1973449
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 76561743454668222, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 18, 'label': '1470.2.i.r', '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: 243585000
{'hecke_orbit_code': 76561743454668222, 'n': 1, 'trace_an': 2}
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id: 243585001
{'hecke_orbit_code': 76561743454668222, 'n': 2, 'trace_an': 1}
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id: 243585002
{'hecke_orbit_code': 76561743454668222, 'n': 3, 'trace_an': 1}
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id: 243585003
{'hecke_orbit_code': 76561743454668222, 'n': 4, 'trace_an': -1}
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id: 243585004
{'hecke_orbit_code': 76561743454668222, 'n': 5, 'trace_an': 1}
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id: 243585005
{'hecke_orbit_code': 76561743454668222, 'n': 6, 'trace_an': 2}
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id: 243585006
{'hecke_orbit_code': 76561743454668222, 'n': 7, 'trace_an': 0}
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id: 243585007
{'hecke_orbit_code': 76561743454668222, 'n': 8, 'trace_an': -2}
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id: 243585008
{'hecke_orbit_code': 76561743454668222, 'n': 9, 'trace_an': -1}
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id: 243585009
{'hecke_orbit_code': 76561743454668222, 'n': 10, 'trace_an': -1}
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id: 243585999
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