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mf_newforms • Show schema
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{'Nk2': 16384, 'analytic_conductor': 79.97056652393518, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [256, 2, [255, 5], [2, 1]], 'cm_discs': [], 'conrey_index': 129, 'dim': 8, 'field_disc': 110585582977024, 'field_disc_factorization': [[2, 18], [19, 2], [23, 2], [47, 2]], 'field_poly': [5625, 13680, 13084, 5760, 841, -180, -62, 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, [7467583705344, 0, 46303554816, 0, 52321120, 0, 13904, 0, 1]], [7, [-566184154880, 2269384448, -1696800, -1360, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546864009511168, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 39582418599936, 'hecke_ring_index_factorization': [[2, 42], [3, 2]], 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mf_hecke_nf • Show schema
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9757467, 25898840, 0], [-1202134386, 0, 0, 0, 48729534, -4290822, -14726211, 0], [-5789115950, 0, 0, 0, -13614644, -2072938, -1095025, 0], [0, 109048632, 246619670, 33542491, 0, 0, 0, -9518896], [0, -944574522, -41992999, 19019896, 0, 0, 0, 2221787], [11650215958, 0, 0, 0, -14262818, 10457628, -37832590, 0], [-12024783692, 0, 0, 0, 42277204, 5698889, -13080544, 0], [0, -2066047849, -26994893, 57548192, 0, 0, 0, -2597012], [15034795182, 0, 0, 0, -21039906, -3020750, 33347145, 0], [25359609884, 0, 0, 0, 5177612, 6730907, -42509984, 0], [9487919312, 0, 0, 0, -38296888, -5155452, -45483584, 0], [0, 2154223017, -566688186, -31775319, 0, 0, 0, -7428762]], 'char_orbit_index': 2, 'field_poly': [5625, 13680, 13084, 5760, 841, -180, -62, 0, 1], 'hecke_orbit_code': 58546864009511168, 'hecke_ring_character_values': [[255, [1, 0, 0, 0, 0, 0, 0, 0]], [5, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 377985, 125995, 75597, 125995, 125995, 25199, 377985], 'hecke_ring_inverse_denominators': [1, 3072, 3072, 6144, 768, 6144, 3072, 3072], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 192, 0, 0, -21, 4, -12, 0], [47616, -32, 156, 24, -111, 12, -36, 2], [414720, 17472, 2556, 216, -1569, 244, -780, 18], [415104, 12326, 2994, 396, -1305, 180, -540, 31], [20736000, 1023744, 202260, 21960, -69261, 9956, -31260, 1830], [70080000, 3841840, 816348, 97752, -229143, 32556, -99828, 7778], [456261120, 31146420, 6429612, 737352, -1502295, 214028, -663612, 60186]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [188115840, 359208784, 252995400, 65902336, -3744360, -3938672, -156960, 69616], [-303230100, -535399516, -346767690, -80513624, 6972810, 4925668, 131520, -82684], [841862160, 1606405948, 1118319702, 278830336, -20996622, -16809620, -437784, 276532], [-1667684480, -3450593536, -2491103840, -658256704, 34591520, 39185408, 1634560, -697024], [-4696677600, -8492948608, -5094786840, -858811792, 178701000, 54409664, -1455360, -709552], [471234624, 1018216256, 802095648, 243431552, -4187616, -14288832, -836544, 270912], [-51441020280, -112085889272, -87823832580, -25249804688, 980463780, 1479963976, 65463840, -26266328]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '256.8.b.n', 'level': 256, 'maxp': 997, 'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 16384, 'analytic_conductor': 79.97056652393518, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [256, 2, [255, 5], [2, 1]], 'conrey_index': 129, 'cusp_dim': 212, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68853694720, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8, 8], 'label': '256.8.b', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 236, 'mf_new_dim': 58, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 256, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -36446, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -718746, 0, 0, 0, 0, 0, 0, 0, -8752, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 84909388112, 0, 0, 0, 0, 0, 0, 0], 'weight': 8, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 205600
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '128.8.a.e', 'target_level': 128, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 205601
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '128.8.a.f', 'target_level': 128, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 205602
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '128.8.a.g', 'target_level': 128, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 205603
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '128.8.a.h', 'target_level': 128, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 205604
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '256.8.b.m', 'target_level': 256, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 205605
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '256.8.b.m', 'target_level': 256, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 205606
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '256.8.b.n', 'target_level': 256, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 205607
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 8, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '256.8.b.n', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '256.8.b.n', 'target_level': 256, 'twist_class_label': '128.8.a.e', 'twist_class_level': 128, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 597750
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58546864009511168, 'p': 2}
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id: 597751
{'charpoly_factorization': [[[7467583705344, 0, 46303554816, 0, 52321120, 0, 13904, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 3}
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id: 597752
{'charpoly_factorization': [[[3190274665956000000, 0, 1392125568160000, 0, 57506479200, 0, 454416, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 5}
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id: 597753
{'charpoly_factorization': [[[-566184154880, 2269384448, -1696800, -1360, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 7}
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id: 597754
{'charpoly_factorization': [[[3273205544724044277199687936, 0, 3575155115476621311232, 0, 760351217594208, 0, 51515728, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 11}
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id: 597755
{'charpoly_factorization': [[[40031571240583141494721446144, 0, 50448717999872513507584, 0, 7913065840244832, 0, 171133968, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 13}
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id: 597756
{'charpoly_factorization': [[[45927052875415056, 6716189957408, -894308712, 1992, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 17}
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id: 597757
{'charpoly_factorization': [[[236069686617439440036069049362649344, 0, 1786807498728584502955896064, 0, 4179795073051380576, 0, 3707753040, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 19}
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id: 597758
{'charpoly_factorization': [[[-5994024521431193344, 470826277368064, -7359204384, -40624, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 23}
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id: 597759
{'charpoly_factorization': [[[92882760091829126301859522959161827584, 0, 200338687029849885275666487552, 0, 126156737795601114720, 0, 23997466768, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 29}
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id: 597760
{'charpoly_factorization': [[[-9921794913274429440, 373858781626368, 24637145088, 311552, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 31}
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id: 597761
{'charpoly_factorization': [[[12546387030299705806313733536585139462400, 0, 54204404889556937180831355648256, 0, 26512869952399655554656, 0, 328164955792, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 37}
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id: 597762
{'charpoly_factorization': [[[-5432990432897033343216, -63257253344265312, 55306999896, 829736, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 41}
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id: 597763
{'charpoly_factorization': [[[5908322427763544333518365954567781329428640000, 0, 129745990096397772113532116606342400, 0, 707742870483226421740896, 0, 1451700261328, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 43}
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id: 597764
{'charpoly_factorization': [[[-268729555653156054331392, -318107062205446144, 1111933042560, 2160288, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 47}
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id: 597765
{'charpoly_factorization': [[[158499060901347725246042701257225112082178105600, 0, 1988313375092756628966638585061632256, 0, 5834861244111924850506336, 0, 4483916345232, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 53}
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id: 597766
{'charpoly_factorization': [[[2379274994037492158412883877856471991367051120896, 0, 18750281302383828522574096890292718848, 0, 34268109009085165071704928, 0, 11147460764752, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 59}
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id: 597767
{'charpoly_factorization': [[[870319996313127673249149943053398174006940989522176, 0, 691476908925750861388776145137877377280, 0, 196804296483895031050801248, 0, 23576784367120, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 61}
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id: 597768
{'charpoly_factorization': [[[2341158020190807194546767929380227063283758544646400, 0, 2143114351402223475090699275464185443584, 0, 571145261023608953825021280, 0, 43953180633040, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 67}
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id: 597769
{'charpoly_factorization': [[[7430783992069290774001920, 19323063315377756928, -15883891218720, 164080, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 71}
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id: 597770
{'charpoly_factorization': [[[-9763303840364566266124784, 6507924625411966688, 21307553041560, 9075512, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 73}
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id: 597771
{'charpoly_factorization': [[[348784956194280775908102144, 338831988627456935936, 119482750257024, 18130848, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 79}
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id: 597772
{'charpoly_factorization': [[[402231260719118270036189763092345035788179791130439936, 0, 142413902893645280332308856149903036843264, 0, 9471725242919420791858823520, 0, 178312632644304, 0, 1], 1]], 'hecke_orbit_code': 58546864009511168, 'p': 83}
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id: 597773
{'charpoly_factorization': [[[-499958154359084590216147952, -489876455673012727328, -114496010484456, 4609912, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 89}
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id: 597774
{'charpoly_factorization': [[[4151682757823232695575032336, -162546745011265098976, -170186725530216, -2253240, 1], 2]], 'hecke_orbit_code': 58546864009511168, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 14, 'label': '256.8.b.n', 'level': 256, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 59223619
{'hecke_orbit_code': 58546864009511168, 'n': 1, 'trace_an': 8}
-
id: 59223620
{'hecke_orbit_code': 58546864009511168, 'n': 2, 'trace_an': 0}
-
id: 59223621
{'hecke_orbit_code': 58546864009511168, 'n': 3, 'trace_an': 0}
-
id: 59223622
{'hecke_orbit_code': 58546864009511168, 'n': 4, 'trace_an': 0}
-
id: 59223623
{'hecke_orbit_code': 58546864009511168, 'n': 5, 'trace_an': 0}
-
id: 59223624
{'hecke_orbit_code': 58546864009511168, 'n': 6, 'trace_an': 0}
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id: 59223625
{'hecke_orbit_code': 58546864009511168, 'n': 7, 'trace_an': 2720}
-
id: 59223626
{'hecke_orbit_code': 58546864009511168, 'n': 8, 'trace_an': 0}
-
id: 59223627
{'hecke_orbit_code': 58546864009511168, 'n': 9, 'trace_an': -10312}
-
id: 59223628
{'hecke_orbit_code': 58546864009511168, 'n': 10, 'trace_an': 0}
-
id: 59223629
{'hecke_orbit_code': 58546864009511168, 'n': 11, 'trace_an': 0}
-
id: 59223630
{'hecke_orbit_code': 58546864009511168, 'n': 12, 'trace_an': 0}
-
id: 59223631
{'hecke_orbit_code': 58546864009511168, 'n': 13, 'trace_an': 0}
-
id: 59223632
{'hecke_orbit_code': 58546864009511168, 'n': 14, 'trace_an': 0}
-
id: 59223633
{'hecke_orbit_code': 58546864009511168, 'n': 15, 'trace_an': 48544}
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