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mf_newforms • Show schema
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{'Nk2': 7840, 'analytic_conductor': 28.910935902812902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [490, 2, [197, 101], [1, 2]], 'cm_discs': [], 'conrey_index': 99, 'conrey_indexes': [99], 'dim': 12, 'field_disc': 765341063639626619140953149030400, 'field_disc_factorization': [[2, 14], [3, 8], [5, 2], [67579, 2], [7896793, 2]], 'field_poly': [60840000, 0, 33016000, 0, 5908496, 0, 405460, 0, 12748, 0, 185, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [34574400, 0, 31585449, 0, 5835817, 0, 413878, 0, 13302, 0, 193, 0, 1]], [19, [-1453282440, 170214204, 17245338, 120401, -10611, -93, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014536015544810, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 128, 'hecke_ring_index_factorization': [[2, 7]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '490.4.c.e', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.4.i.a', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{7}q^{2}+(\\beta _{4}+\\beta _{7})q^{3}-4q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '490.4.c', 'trace_display': [0, 0, -8, 0], 'trace_hash': 1154830119610982441, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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1215, -990, 990, -36], [0, 0, 0, 0, 2574, -10, -10, -4088, -566, -12, 12, 828], [0, 0, 0, 0, 1698, -542, -542, 4193, -1821, 602, -602, 100], [459, -439, -395, 1597, 0, -498, 498, 0, 0, -752, -752, 0], [0, 0, 0, 0, 452, -1273, -1273, -784, -1048, 130, -130, -628], [0, 0, 0, 0, 3299, 311, 311, -9776, -333, 154, -154, 639], [-10808, 722, -335, 1105, 0, -808, 808, 0, 0, -557, -557, 0], [0, 0, 0, 0, -1075, 94, 94, -770, -833, -303, 303, -350]], 'char_orbit_index': 3, 'field_poly': [60840000, 0, 33016000, 0, 5908496, 0, 405460, 0, 12748, 0, 185, 0, 1], 'hecke_orbit_code': 18014536015544810, 'hecke_ring_character_values': [[197, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [101, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 529200, 44100, 22932000, 137592000, 137592000, 11466000, 11466000, 13759200, 13759200, 7644000], 'hecke_ring_inverse_denominators': [1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0], [-31, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -46, -3, -3, -36, 1, 2, -2, -1], [1469, -63, 13, -15, 0, -13, 13, 0, 0, -1, -1, 0], [0, 0, 0, 0, 2446, 321, 321, 2638, -29, -157, 157, 149], [-79749, 3803, -1193, 1905, 0, 1409, -1409, 0, 0, 215, 215, 0], [0, 0, 0, 0, -141466, -24417, -24417, -192326, -303, 11175, -11175, -13677], [4653661, -234091, 83385, -175185, 0, -114849, 114849, 0, 0, -25011, -25011, 0], [0, 0, 0, 0, 8628346, 1680537, 1680537, 13794318, 132767, -775739, 775739, 1080973], [-284277197, 14694075, -5375641, 14159985, 0, 8504113, -8504113, 0, 0, 2300275, 2300275, 0], [0, 0, 0, 0, -543865786, -111824601, -111824601, -973114606, -14459407, 53205043, -53205043, -79974653]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [31, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [167652000, 0, 40381408, 0, 1082536, 0, -32112, 0, -1331, 0, -11, 0], [-12402000, 0, -5385040, 0, -725074, 0, -33981, 0, -631, 0, -4, 0], [0, -326805600, 0, -124631048, 0, -12654320, 0, -511584, 0, -8765, 0, -53], [40345344000, 5032389600, 13584773280, 1578737104, 1229242560, 136581760, 45611280, 4984182, 737490, 80395, 4290, 469], [-40345344000, 5032389600, -13584773280, 1578737104, -1229242560, 136581760, -45611280, 4984182, -737490, 80395, -4290, 469], [0, 349737600, 0, 124631048, 0, 12654320, 0, 511584, 0, 8765, 0, 53], [0, 1474639200, 0, 324703332, 0, 5166700, 0, -510039, 0, -16335, 0, -128], [1575194400, 688632480, 1331831488, 259382640, 274726816, 37724400, 14793948, 1842210, 292864, 34995, 1924, 225], [1575194400, -688632480, 1331831488, -259382640, 274726816, -37724400, 14793948, -1842210, 292864, -34995, 1924, -225], [0, -2546759200, 0, -821150696, 0, -67921560, 0, -2341348, 0, -35885, 0, -201]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '490.4.c.e', 'level': 490, 'maxp': 997, 'weight': 4}
-
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{'Nk2': 7840, 'analytic_conductor': 28.910935902812902, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [490, 2, [197, 101], [1, 2]], 'conrey_index': 99, 'cusp_dim': 236, 'dim': 62, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 19], 'hecke_orbit_code': 137506062826, 'hecke_orbit_dims': [2, 2, 6, 8, 12, 12, 20], 'label': '490.4.c', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 268, 'mf_new_dim': 62, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 62, 'sturm_bound': 336, 'trace_bound': 5, 'trace_display': [0, 0, 6, 0], 'traces': [62, 0, 0, -248, 6, -8, 0, 0, -530, 16, 100, 0, 0, 0, -44, 992, 0, 0, -24, -24, 0, 0, 0, 32, -514, -416, 0, 0, 104, 352, 184, 0, 0, 528, 0, 2120, 0, 0, 680, -64, -884, 0, 0, -400, -1318, 744, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 349956
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.4.i.a', 'target_level': 70, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 349957
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.4.i.a', 'target_level': 70, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 349958
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '350.4.e.n', 'target_level': 350, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 349959
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '350.4.e.o', 'target_level': 350, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 349960
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.4.c.e', 'target_level': 490, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 349961
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '490.4.c.e', 'target_level': 490, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 349962
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.4.c.f', 'target_level': 490, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 349963
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '490.4.c.f', 'target_level': 490, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 349964
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 74, 'target_is_minimal': False, 'target_label': '2450.4.a.cv', 'target_level': 2450, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 349965
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 75, 'target_is_minimal': False, 'target_label': '2450.4.a.cw', 'target_level': 2450, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 349966
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 76, 'target_is_minimal': False, 'target_label': '2450.4.a.cx', 'target_level': 2450, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 349967
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '490.4.c.e', 'source_level': 490, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '2450.4.a.cy', 'target_level': 2450, 'twist_class_label': '70.4.i.a', 'twist_class_level': 70, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 960025
{'charpoly_factorization': [[[4, 0, 1], 6]], 'hecke_orbit_code': 18014536015544810, 'p': 2}
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id: 960026
{'charpoly_factorization': [[[34574400, 0, 31585449, 0, 5835817, 0, 413878, 0, 13302, 0, 193, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 3}
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id: 960027
{'charpoly_factorization': [[[3814697265625, 244140625000, 23193359375, 4222656250, 344984375, 33153750, 2738050, 265230, 22079, 2162, 95, 8, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 5}
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id: 960028
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18014536015544810, 'p': 7}
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id: 960029
{'charpoly_factorization': [[[286379520, -49232064, 1345208, 96751, -3033, -31, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 11}
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id: 960030
{'charpoly_factorization': [[[711582342930800640000, 0, 1799036496383385600, 0, 1737661786774080, 0, 820553148016, 0, 198245964, 0, 22989, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 13}
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id: 960031
{'charpoly_factorization': [[[1815876093885221382400, 0, 6856749066061265664, 0, 7018533244198176, 0, 2824119209792, 0, 482002473, 0, 36294, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 17}
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id: 960032
{'charpoly_factorization': [[[-1453282440, 170214204, 17245338, 120401, -10611, -93, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 19}
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id: 960033
{'charpoly_factorization': [[[27502985915546287041, 0, 23948796381230835562, 0, 61044704532402959, 0, 16839755047516, 0, 1715265199, 0, 72122, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 23}
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id: 960034
{'charpoly_factorization': [[[-1796409740592, 82807375164, 1225747020, -11070033, -82529, 169, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 29}
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id: 960035
{'charpoly_factorization': [[[-495991036080, -41951081408, -1171864624, -11496260, -8939, 326, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 31}
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id: 960036
{'charpoly_factorization': [[[195836466970585077459337216, 0, 107736873114413352787968, 0, 17950654891048447104, 0, 1062064737504929, 0, 26747258079, 0, 284703, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 37}
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id: 960037
{'charpoly_factorization': [[[-1146896772372, 43635976980, 1095176871, -24451162, -147636, 198, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 41}
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id: 960038
{'charpoly_factorization': [[[5770590207590283251929000000, 0, 3760878974998325761143600, 0, 252217257221185191180, 0, 6697682623836701, 0, 84039644463, 0, 485343, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 43}
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id: 960039
{'charpoly_factorization': [[[817674796612237236222726400, 0, 512505796016157362483904, 0, 100666039247502228672, 0, 6637314410389913, 0, 119416637727, 0, 634983, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 47}
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id: 960040
{'charpoly_factorization': [[[8446699365713515387743944256, 0, 70256768098404522232420848, 0, 4283389073712116491884, 0, 71928221276542149, 0, 436575995379, 0, 1105483, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 53}
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id: 960041
{'charpoly_factorization': [[[16681718759500000, -122290841832920, 102872981780, 599186218, -813091, -668, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 59}
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id: 960042
{'charpoly_factorization': [[[12462758786850, -968900384967, 20662182473, -75388198, -418332, 157, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 61}
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id: 960043
{'charpoly_factorization': [[[2607925669185545324445254084100, 0, 269506285982331123629293621, 0, 7735480906977178765841, 0, 94366959679186318, 0, 542491836298, 0, 1366301, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 67}
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id: 960044
{'charpoly_factorization': [[[16991890627875840, -147449797403904, 176141716560, 893539392, -876096, -1108, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 71}
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id: 960045
{'charpoly_factorization': [[[9994329047318631625919319654400, 0, 866951620332048163062441024, 0, 22861529892383935535280, 0, 241907288361582140, 0, 1014850318785, 0, 1718370, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 73}
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id: 960046
{'charpoly_factorization': [[[-14492009671482000, -66556262430000, 163094510520, 499660240, -647227, -886, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 79}
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id: 960047
{'charpoly_factorization': [[[5844632067223665966933696729000000, 0, 465224056957206643910891741616, 0, 3081949654902642631441996, 0, 7841747560735947493, 0, 9263323764303, 0, 5010391, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 83}
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id: 960048
{'charpoly_factorization': [[[-106054121644030, 4544749788341, 42445294393, -793036926, 2854004, -3047, 1], 2]], 'hecke_orbit_code': 18014536015544810, 'p': 89}
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id: 960049
{'charpoly_factorization': [[[67159821212512512936813527040000, 0, 46094871845425791466418995200, 0, 778098017678328398086144, 0, 3934382915841544192, 0, 6640816239360, 0, 4439728, 0, 1], 1]], 'hecke_orbit_code': 18014536015544810, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '490.4.c.e', 'level': 490, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 157505000
{'hecke_orbit_code': 18014536015544810, 'n': 1, 'trace_an': 12}
-
id: 157505001
{'hecke_orbit_code': 18014536015544810, 'n': 2, 'trace_an': 0}
-
id: 157505002
{'hecke_orbit_code': 18014536015544810, 'n': 3, 'trace_an': 0}
-
id: 157505003
{'hecke_orbit_code': 18014536015544810, 'n': 4, 'trace_an': -48}
-
id: 157505004
{'hecke_orbit_code': 18014536015544810, 'n': 5, 'trace_an': -8}
-
id: 157505005
{'hecke_orbit_code': 18014536015544810, 'n': 6, 'trace_an': -28}
-
id: 157505006
{'hecke_orbit_code': 18014536015544810, 'n': 7, 'trace_an': 0}
-
id: 157505007
{'hecke_orbit_code': 18014536015544810, 'n': 8, 'trace_an': 0}
-
id: 157505008
{'hecke_orbit_code': 18014536015544810, 'n': 9, 'trace_an': -62}
-
id: 157505009
{'hecke_orbit_code': 18014536015544810, 'n': 10, 'trace_an': 12}
-
id: 157505010
{'hecke_orbit_code': 18014536015544810, 'n': 11, 'trace_an': 62}
-
id: 157505011
{'hecke_orbit_code': 18014536015544810, 'n': 12, 'trace_an': 0}
-
id: 157505012
{'hecke_orbit_code': 18014536015544810, 'n': 13, 'trace_an': 0}
-
id: 157505013
{'hecke_orbit_code': 18014536015544810, 'n': 14, 'trace_an': 0}
-
id: 157505014
{'hecke_orbit_code': 18014536015544810, 'n': 15, 'trace_an': 86}
-
id: 157505015
{'hecke_orbit_code': 18014536015544810, 'n': 16, 'trace_an': 192}
-
id: 157505016
{'hecke_orbit_code': 18014536015544810, 'n': 17, 'trace_an': 0}
-
id: 157505017
{'hecke_orbit_code': 18014536015544810, 'n': 18, 'trace_an': 0}
-
id: 157505018
{'hecke_orbit_code': 18014536015544810, 'n': 19, 'trace_an': 186}
-
id: 157505019
{'hecke_orbit_code': 18014536015544810, 'n': 20, 'trace_an': 32}
-
id: 157505020
{'hecke_orbit_code': 18014536015544810, 'n': 21, 'trace_an': 0}
-
id: 157505021
{'hecke_orbit_code': 18014536015544810, 'n': 22, 'trace_an': 0}
-
id: 157505022
{'hecke_orbit_code': 18014536015544810, 'n': 23, 'trace_an': 0}
-
id: 157505023
{'hecke_orbit_code': 18014536015544810, 'n': 24, 'trace_an': 112}
-
id: 157505024
{'hecke_orbit_code': 18014536015544810, 'n': 25, 'trace_an': -126}
-
id: 157505025
{'hecke_orbit_code': 18014536015544810, 'n': 26, 'trace_an': -236}
-
id: 157505026
{'hecke_orbit_code': 18014536015544810, 'n': 27, 'trace_an': 0}
-
id: 157505027
{'hecke_orbit_code': 18014536015544810, 'n': 28, 'trace_an': 0}
-
id: 157505028
{'hecke_orbit_code': 18014536015544810, 'n': 29, 'trace_an': -338}
-
id: 157505029
{'hecke_orbit_code': 18014536015544810, 'n': 30, 'trace_an': -28}
-
id: 157505030
{'hecke_orbit_code': 18014536015544810, 'n': 31, 'trace_an': -652}
-
id: 157505031
{'hecke_orbit_code': 18014536015544810, 'n': 32, 'trace_an': 0}
-
id: 157505032
{'hecke_orbit_code': 18014536015544810, 'n': 33, 'trace_an': 0}
-
id: 157505033
{'hecke_orbit_code': 18014536015544810, 'n': 34, 'trace_an': 272}
-
id: 157505034
{'hecke_orbit_code': 18014536015544810, 'n': 35, 'trace_an': 0}
-
id: 157505035
{'hecke_orbit_code': 18014536015544810, 'n': 36, 'trace_an': 248}
-
id: 157505036
{'hecke_orbit_code': 18014536015544810, 'n': 37, 'trace_an': 0}
-
id: 157505037
{'hecke_orbit_code': 18014536015544810, 'n': 38, 'trace_an': 0}
-
id: 157505038
{'hecke_orbit_code': 18014536015544810, 'n': 39, 'trace_an': 868}
-
id: 157505039
{'hecke_orbit_code': 18014536015544810, 'n': 40, 'trace_an': -48}
-
id: 157505040
{'hecke_orbit_code': 18014536015544810, 'n': 41, 'trace_an': -396}
-
id: 157505041
{'hecke_orbit_code': 18014536015544810, 'n': 42, 'trace_an': 0}
-
id: 157505042
{'hecke_orbit_code': 18014536015544810, 'n': 43, 'trace_an': 0}
-
id: 157505043
{'hecke_orbit_code': 18014536015544810, 'n': 44, 'trace_an': -248}
-
id: 157505044
{'hecke_orbit_code': 18014536015544810, 'n': 45, 'trace_an': 664}
-
id: 157505045
{'hecke_orbit_code': 18014536015544810, 'n': 46, 'trace_an': -376}
-
id: 157505046
{'hecke_orbit_code': 18014536015544810, 'n': 47, 'trace_an': 0}
-
id: 157505047
{'hecke_orbit_code': 18014536015544810, 'n': 48, 'trace_an': 0}
-
id: 157505048
{'hecke_orbit_code': 18014536015544810, 'n': 49, 'trace_an': 0}
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