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{'Nk2': 17200, 'analytic_conductor': 63.42705325617116, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [43, -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': [1075, 1, [302, 476], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 213883916352, 'field_disc_factorization': [[2, 6], [3, 1], [1113978731, 1]], 'field_poly': [60, 276, 251, -16, -32, 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': [[2, [540, 608, 26, -124, -17, 6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694480435, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '1075.4.a.b', 'level': 1075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 43], 'level_radical': 215, 'minimal_twist': '43.4.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(-1+\\beta _{3})q^{3}+(4+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1075.4.a', 'trace_display': [-6, -7, 0, -8], 'trace_hash': 1812657430053906090, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.559', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '85.771', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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-41796, -364, -13703, 8949, -2699], [70860, -12118, -5768, -16774, -8678, 5892], [-134554, 5378, -4765, 2386, -19484, 5865], [-36711, 11472, -11551, 28177, -3681, -17844], [76066, 5082, 2924, -9552, 7628, -14702], [36452, 19114, 9609, -9996, 6626, 13717], [49885, 9146, -4369, 8284, 449, 6578], [-59920, -10832, -6160, -13410, 12318, 1010], [-12921, -24994, 10656, -21693, -12923, 8971], [-7445, -25646, -20005, 14363, -1518, 18739], [-60478, 8626, -9185, 3102, 12268, -18559], [35579, -21700, -8503, 8378, 23359, -14364], [52770, 28346, 16539, -14452, 2786, 2587]], 'char_orbit_index': 1, 'field_poly': [60, 276, 251, -16, -32, 0, 1], 'hecke_orbit_code': 4503599694480435, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 8, 8, 8, 8], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [11, 1, 0, 1, -1, 0], [8, 16, 1, -1, 0, 0], [179, 24, -3, 20, -15, -2], [200, 269, 30, -20, -6, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-34, -25, -36, -16, 2, 1], [30, 103, -36, -24, 2, 1], [118, 111, -44, -24, 2, 1], [182, 331, 24, -36, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1075.4.a.b', 'level': 1075, 'maxp': 2999, 'weight': 4}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [43, 1]], 51, 2], [[[5, -1], [43, -1]], 55, 2], [[[5, 1], [43, 1]], 50, 4], [[[5, 1], [43, -1]], 44, 4]], 'ALdims': [50, 44, 51, 55], 'Nk2': 17200, 'analytic_conductor': 63.42705325617116, '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': [1075, 1, [302, 476], [1, 1]], 'conrey_index': 1, 'cusp_dim': 324, 'dim': 200, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109939, 'hecke_orbit_dims': [4, 6, 6, 8, 13, 15, 19, 19, 23, 23, 32, 32], 'label': '1075.4.a', 'level': 1075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 43], 'level_radical': 215, 'mf_dim': 336, 'mf_new_dim': 200, 'num_forms': 12, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 200, 'sturm_bound': 440, 'trace_bound': 8, 'trace_display': [-2, 4, 0, 12], 'traces': 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0, 1136892, 589320, 640256, 1181340, 0, -576292, -362432, 238772, -2098552, 0, -2348016, 326536, -2733544, 108990, 0, 317492, 1078892, -1123900, -1416912, 0, -3857030, 62436, 3558212, 1879408, 0, -1339910, 1292936, -1325816, -1786980, 0, 1411646, -461126, -791864, 1215164, 0, 838482, -949324, -294554, 1263138, 0, -4405502, -573184, 2319096, -3536, 0, 1618826, 824124, -1320896, -2502688, 0, -2635028, 549504, -2053970, 530072, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 637815
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '43.4.a.b', 'target_level': 43, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 637816
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '387.4.a.h', 'target_level': 387, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 637817
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '688.4.a.i', 'target_level': 688, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 637818
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1075.4.a.b', 'target_level': 1075, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 637819
{'conductor': 215, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1849.4.a.c', 'target_level': 1849, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '215.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 637820
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1075.4.a.b', 'source_level': 1075, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2107.4.a.c', 'target_level': 2107, 'twist_class_label': '43.4.a.b', 'twist_class_level': 43, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1657075
{'charpoly_factorization': [[[540, 608, 26, -124, -17, 6, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 2}
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id: 1657076
{'charpoly_factorization': [[[11156, 11756, 2140, -588, -97, 7, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 3}
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id: 1657077
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503599694480435, 'p': 5}
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id: 1657078
{'charpoly_factorization': [[[10690992, 3729072, 285404, -9640, -1172, 8, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 7}
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id: 1657079
{'charpoly_factorization': [[[-53187648, 87126072, 3182929, -145260, -4842, 28, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 11}
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id: 1657080
{'charpoly_factorization': [[[-458957340, 3215268, 3791673, -84276, -4406, 56, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 13}
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id: 1657081
{'charpoly_factorization': [[[181639863, -65687277, 3967071, 76658, -6335, 19, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 17}
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id: 1657082
{'charpoly_factorization': [[[-673814000, 113047600, 3291160, -206344, -2895, 75, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 19}
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id: 1657083
{'charpoly_factorization': [[[-9170218345, -4069168837, -233173145, -4291590, -20807, 131, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 23}
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id: 1657084
{'charpoly_factorization': [[[331483322700, -16936584300, -704330628, 4732868, 58249, -515, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 29}
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id: 1657085
{'charpoly_factorization': [[[8546933895145, -204439793629, 368947627, 14285746, -53373, -237, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 31}
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id: 1657086
{'charpoly_factorization': [[[-15081152424000, 80718597120, 5676973984, -37379592, -177607, 269, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 37}
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id: 1657087
{'charpoly_factorization': [[[84893308383715, -827086183663, -3213994857, 49708910, -63763, -471, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 41}
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id: 1657088
{'charpoly_factorization': [[[-43, 1], 6]], 'hecke_orbit_code': 4503599694480435, 'p': 43}
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id: 1657089
{'charpoly_factorization': [[[-68794630166960, 2018901432752, -675059768, -98566408, -201307, 415, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 47}
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id: 1657090
{'charpoly_factorization': [[[-2796076662325740, 11537303514238, 85831493161, -184990872, -571558, 450, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 53}
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id: 1657091
{'charpoly_factorization': [[[-18355561214400, -181544427840, 2268932784, 17967392, -78324, -356, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 59}
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id: 1657092
{'charpoly_factorization': [[[51013136843120, 779382380976, -30113941508, -52724216, 434108, 1328, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 61}
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id: 1657093
{'charpoly_factorization': [[[119387526352596, 5235646534404, -122185236567, 697381148, -876950, -632, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 67}
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id: 1657094
{'charpoly_factorization': [[[-1133110269466432, 76457292519680, 392378097392, -184951424, -1284236, 144, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 71}
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id: 1657095
{'charpoly_factorization': [[[75431034605642544, 350187317967184, 138693949724, -1240846952, -1253444, 864, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 73}
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id: 1657096
{'charpoly_factorization': [[[-24008230108815760, 129229651676016, 70634693192, -845482784, -227153, 1613, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 79}
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id: 1657097
{'charpoly_factorization': [[[108732474040310676, 794994150872130, 1672505022177, 166505888, -2310718, -682, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 83}
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id: 1657098
{'charpoly_factorization': [[[-17611748593784080, 198773575263992, -298079697748, -1148334440, 3622036, -3378, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 89}
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id: 1657099
{'charpoly_factorization': [[[162742133524474039, -1097497984768263, 1699324914399, 1191302086, -2979167, -55, 1], 1]], 'hecke_orbit_code': 4503599694480435, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1075.4.a.b', 'level': 1075, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 73142000
{'hecke_orbit_code': 4503599694480435, 'n': 1, 'trace_an': 6}
-
id: 73142001
{'hecke_orbit_code': 4503599694480435, 'n': 2, 'trace_an': -6}
-
id: 73142002
{'hecke_orbit_code': 4503599694480435, 'n': 3, 'trace_an': -7}
-
id: 73142003
{'hecke_orbit_code': 4503599694480435, 'n': 4, 'trace_an': 22}
-
id: 73142004
{'hecke_orbit_code': 4503599694480435, 'n': 5, 'trace_an': 0}
-
id: 73142005
{'hecke_orbit_code': 4503599694480435, 'n': 6, 'trace_an': -3}
-
id: 73142006
{'hecke_orbit_code': 4503599694480435, 'n': 7, 'trace_an': -8}
-
id: 73142007
{'hecke_orbit_code': 4503599694480435, 'n': 8, 'trace_an': -54}
-
id: 73142008
{'hecke_orbit_code': 4503599694480435, 'n': 9, 'trace_an': 81}
-
id: 73142009
{'hecke_orbit_code': 4503599694480435, 'n': 10, 'trace_an': 0}
-
id: 73142010
{'hecke_orbit_code': 4503599694480435, 'n': 11, 'trace_an': -28}
-
id: 73142011
{'hecke_orbit_code': 4503599694480435, 'n': 12, 'trace_an': 157}
-
id: 73142012
{'hecke_orbit_code': 4503599694480435, 'n': 13, 'trace_an': -56}
-
id: 73142013
{'hecke_orbit_code': 4503599694480435, 'n': 14, 'trace_an': -184}
-
id: 73142014
{'hecke_orbit_code': 4503599694480435, 'n': 15, 'trace_an': 0}
-
id: 73142015
{'hecke_orbit_code': 4503599694480435, 'n': 16, 'trace_an': -54}
-
id: 73142016
{'hecke_orbit_code': 4503599694480435, 'n': 17, 'trace_an': -19}
-
id: 73142017
{'hecke_orbit_code': 4503599694480435, 'n': 18, 'trace_an': 81}
-
id: 73142018
{'hecke_orbit_code': 4503599694480435, 'n': 19, 'trace_an': -75}
-
id: 73142019
{'hecke_orbit_code': 4503599694480435, 'n': 20, 'trace_an': 0}
-
id: 73142020
{'hecke_orbit_code': 4503599694480435, 'n': 21, 'trace_an': -18}
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