Embedded newform data - 675.2.r.a.46.23

Formats: - HTML - YAML - JSON - 2026-02-23T05:46:22.424769

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 225, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 15, 'char_parity': 1, 'char_values': [675, 15, [326, 352], [10, 9]], 'cm_discs': [], 'conrey_index': 46, 'dim': 224, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1168264659619, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 225, 17, 1, 15, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '675.2.r.a', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.q.a', 'prim_orbit_index': 17, 'related_objects': [], 'relative_dim': 28, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.2.r', 'trace_display': [3, 0, 8, -8], 'traces': [224, 3, 0, 23, 8, 0, -8, 20, 0, -20, 11, 0, -3, -1, 0, 23, 24, 0, -12, -1, 0, -11, -1, 0, -16, 136, 0, 4, 15, 0, 3, -12, 0, 1, -14, 0, -24, -55, 0, 1, 19, 0, -8, -4, 0, -20, 10, 0, -72, 3, 0, -25, 12, 0, -20, 60, 0, -23, 30, 0, -3, 44, 0, -44, -51, 0, -12, 156, 0, -16, -42, 0, -12, -90, 0, -8, -31, 0, -15, -298, 0, 8, -59, 0, -11, -9, 0, -23, -106, 0, 30, -11, 0, 25, -7, 0, -21, -146, 0, -148, -114, 0, -21, 17, 0, 37, 76, 0, -12, 57, 0, 55, -83, 0, -5, 24, 0, 32, 50, 0, -7, 98, 0, 4, 224, 0, -96, 24, 0, -30, 67, 0, -51, -130, 0, 48, 75, 0, 15, -317, 0, 25, -200, 0, -8, 88, 0, 41, -120, 0, 16, 42, 0, -58, 127, 0, -14, -187, 0, 57, -38, 0, 114, 136, 0, -74, -19, 0, 1, -146, 0, -80, 34, 0, 67, -190, 0, -23, -62, 0, 24, 74, 0, 13, 65, 0, 7, 592, 0, -32, 37, 0, -32, -1, 0, 6, -92, 0, -80, -135, 0, 87, -31, 0, 7, -250, 0, -184, 51, 0, -3, 23, 0, 27, 306, 0, 102, 230, 0, 61, 32, 0, 87, 504, 0, -88, -83, 0, 51, 246, 0, -28, 208, 0, -32, 35, 0, 131, 111, 0, -39, 160, 0, 12, 39, 0, 5, 163, 0, 175, 504, 0, -116, -15, 0, -77, 70, 0, -78, -88, 0, 184, -179, 0, -50, -61, 0, 64, -76, 0, 12, -41, 0, 44, -91, 0, 69, -296, 0, 86, 61, 0, 33, 188, 0, -58, -174, 0, 8, -529, 0, 111, 248, 0, 97, -348, 0, -264, -246, 0, 134, 49, 0, 73, -432, 0, -92, -232, 0, -203, 43, 0, -39, -266, 0, -228, -121, 0, -47, 307, 0, -160, -312, 0, -24, -268, 0, 77, 19, 0, -12, -308, 0, -92, 111, 0, -108, -364, 0, 27, -130, 0, 68, 77, 0, -11, -27, 0, -80, 166, 0, 146, -40, 0, -77, 29, 0, 187, -88, 0, 112, -157, 0, -17, -263, 0, -30, -732, 0, 264, 146, 0, -129, -306, 0, -52, 414, 0, 60, 380, 0, -4, -29, 0, -46, -116, 0, -360, -55, 0, 103, -183, 0, 25, -214, 0, 264, 358, 0, -1, -308, 0, 11, -116, 0, 62, 108, 0, 27, 154, 0, 9, 600, 0, -92, 53, 0, 26, 69, 0, -75, 96, 0, 632, -197, 0, 21, 122, 0, -109, -314, 0, 144, 231, 0, -100, 29, 0, -30, 1700, 0, -114, 250, 0, 1, 126, 0, 26, 712, 0, 260, -35, 0, -23, 206, 0, 208, 660, 0, 406, 123, 0, -87, 327, 0, 43, -4, 0, 174, 428, 0, 107, 96, 0, -9, 824, 0, 208, 85, 0, 59, 424, 0, 65, 10, 0, -204, -610, 0, 123, 85, 0, -190, 128, 0, -116, 59, 0, -8, -181, 0, 27, 192, 0, -18, 231, 0, 117, 50, 0, -108, 220, 0, 120, -343, 0, -89, 224, 0, -309, -110, 0, 60, -506, 0, -64, -220, 0, 17, -830, 0, 152, -63, 0, 252, -13, 0, 127, -302, 0, 84, -157, 0, -277, 282, 0, 141, -876, 0, 322, -456, 0, -51, 42, 0, -51, -712, 0, 102, 161, 0, -20, -387, 0, 19, 112, 0, -196, 79, 0, 39, -87, 0, -56, 172, 0, 168, 220, 0, 133, 94, 0, 7, -514, 0, -408, 93, 0, 71, -942, 0, 53, -852, 0, -214, 211, 0, -22, -324, 0, 22, -124, 0, 220, 336, 0, -98, -266, 0, -137, -12, 0, -288, 371, 0, 47, -215, 0, -21, -1104, 0, -320, 350, 0, -136, -184, 0, -113, -340, 0, -66, 696, 0, -209, -78, 0, 3, 1450, 0, 396, 63, 0, -128, -221, 0, 145, 34, 0, -328, -46, 0, -253, -138, 0, -2, -414, 0, 254, 242, 0, 99, -265, 0, -45, 642, 0, -272, 408, 0, -149, 204, 0, -207, 352, 0, -860, -286, 0, -45, 632, 0, -394, -2, 0, -452, -274, 0, -131, 72, 0, 39, 428, 0, -344, 230, 0, -56, 449, 0, -497, 660, 0, 44, -331, 0, 79, 234, 0, -93, -218, 0, -332, -373, 0, -93, -50, 0, 404, -210, 0, 42, -272, 0, -176, -287, 0, -192, 150, 0, -92, 15, 0, -150, 254, 0, 239, -108, 0, -180, -993, 0, -34, 396, 0, 225, -868, 0, 464, -314, 0, -122, -194, 0, -225, -452, 0, -20, -316, 0, -97, 179, 0, -24, -136, 0, 160, -107, 0, 99, 563, 0, 145, -346, 0, -216, -878, 0, 73, -33, 0, 133, -1456, 0, 450, -78, 0, 165, -859, 0, -41, -278, 0, 36, -235, 0, -281, 4, 0, 62, 244, 0, -840, -359, 0, -22, 554, 0, -408, -162, 0, 36, -210, 0, 209, -251, 0, -48, -664, 0, -136, 61, 0, 141, -890, 0, -116, 520, 0, -456, 497, 0, -292, -34, 0, 97, 222, 0, 814, 275, 0, -139, -189, 0, 81, -522, 0, 244, 519, 0, 235, -444, 0, 117, 606, 0, -156, 630, 0, 60, -129, 0, 43, 1006, 0, -272, -243, 0, 740, 195, 0, -130, 214, 0, -340, -43, 0, 225, 249, 0, 303, -170, 0, -300, 361, 0, -69, 59, 0, 120, 2404, 0, 774, 500, 0, 373, 496, 0, 321, 1088, 0, -40, 113, 0, 209, 437, 0, 418, 362, 0, -408, 29, 0, 247, 369, 0, -252, 636, 0, 60, 588, 0, 169, 325, 0, 267, 356, 0, -110, 122, 0, -162, 884, 0, 61, 76, 0, 588, -742, 0, -110, 33, 0, 206, 408, 0, 404, -4, 0, 360, 155, 0, 432, 770, 0, 226, 553, 0, 64, 231, 0, 79, 1174, 0, -76, -443, 0, 123, 694, 0, 235, -462, 0, -306, -70, 0, 382, -434, 0, 121, -1672, 0, -208, 163, 0, -422, -137, 0, -49, -550, 0, -540, -436, 0, 59, 172, 0, -216, -1076, 0, 418], 'weight': 2, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [0.8668667056640018, 0.9627530119991948], [0.0, 0.0], [-0.07090701345710908, 0.6746351683914011], [-0.8705609757342454, -0.49206055270529325], [0.0, 0.0], [-0.8161153221906963, 1.41355320286973], [0.33711722533246197, -0.24493000112719981], [0.0, 0.0], [-0.2809275459113747, -1.2646861118279482], [0.1826411099677843, 0.20284350245251606], [0.0, 0.0], [-1.1476091593126612, 1.2745490944652504], [-2.0683658044733058, 0.43964472367469515], [0.0, 0.0], [1.1915704400598581, 0.2532761157267586], [-1.1286063492217455, 0.8199805100864682], [0.0, 0.0], [-0.49284170754241596, 0.3580704601043456], [0.3936902326547236, -0.5524205062270683], [0.0, 0.0], [-0.03696269563403606, 0.351676557472721], [0.7178556422602435, -0.1525849270942628], [0.0, 0.0], [0.5157528249427227, 0.8567374297669043], [-2.2219001509604674, 0.0], [0.0, 0.0], [-0.8957644029150961, -0.6508109337911465], [0.3870473944408714, -0.1723246025790036], [0.0, 0.0], [-0.38355945211346826, -0.1707716706021419], [0.5807404952093821, 1.00587204371536], [0.0, 0.0], [-1.7677899738077139, -0.37575535858730613], [1.4060319214804173, -0.8290060990341274], [0.0, 0.0], [-0.11587054878495713, -0.3566128804389246], [-0.7719614814045118, -0.16408547822903977], [0.0, 0.0], [-0.4140014923510076, 0.04734441254431876], [0.632047204319163, -0.7019595350796662], [0.0, 0.0], [-0.1769154598129482, 0.3064265650404362], [-0.1497958960764618, 0.10883308902022087], [0.0, 0.0], [0.7691867538941326, 0.5588468886824804], [-0.743574719106923, 0.33106079461663934], [0.0, 0.0], [-0.832088438228848, -1.4412194514030021], [-0.3777375887055351, 1.23921973902178], [0.0, 0.0], [-0.7784821048647875, -0.8645919682334051], [-0.48138707081456655, -0.3497481793787109], [0.0, 0.0], [-0.05918893697327733, -0.26645812293387033], [0.0710950546040041, 0.6764242603953504], [0.0, 0.0], [0.5014245299292936, 0.22324858424187013], [1.1451026263572721, -1.2717653075961635], [0.0, 0.0], [1.2111438161783163, 1.3451114795056256], [-0.16808397844354522, -0.5173092933186193], [0.0, 0.0], [-0.08854007020620178, 0.2724983164539683], [1.6262190813653894, -0.5448795060778223], [0.0, 0.0], [0.8503060564606395, 0.3785806476278565], [-0.4731615839078064, -0.8195399035180851], [0.0, 0.0], [2.0169703786429647, 0.635023681327208], [0.4997111843513329, 0.36306142715117035], [0.0, 0.0], [0.003050597963492701, -0.00938877513078184], [0.24288580385158762, -0.42069055270815825], [0.0, 0.0], [-0.206620991559547, -0.35787805529139555], [-0.4357862908796927, 0.0926292356123196], [0.0, 0.0], [-0.09171440054764174, 0.04083388197968702], [-0.9127075394630356, -0.8068171117604099], [0.0, 0.0], [1.2237143345317982, 0.0], [0.01195022033436172, 0.11369875156937909], [0.0, 0.0], [1.386000707599063, -0.15850036895918465], [-0.4483752202783296, 0.09530509516040053], [0.0, 0.0], [0.11125392350832042, 0.023647751453228234], [-0.19563299029640444, 0.60209643356361], [0.0, 0.0], [-0.8650615358946222, -2.6623856476664183], [0.052038158298218874, 0.49511000357578167], [0.0, 0.0], [-0.9633099443392702, -0.4288932200628124], [0.6052411063070402, -0.06921420612050762], [0.0, 0.0], [-0.15209444359620797, 0.06771680916507299], [0.6662286045215217, -2.0504408081311296], [0.0, 0.0], [-0.6145556926967674, 0.28719630144188363], [-0.39040969277627063, 0.6762094236558568], [0.0, 0.0], [0.12857554292383638, -1.223314575276919], [-0.07470350440955835, 0.7107563669601621], [0.0, 0.0], [-0.08057731108817831, -0.7666419044341991], [-0.5982731147648679, 0.0], [0.0, 0.0], [0.5131726206523795, 1.5793829263109098], [0.20522444162045625, -0.2879680025731511], [0.0, 0.0], [-1.330478158198325, 1.4776456932019544], [-0.37745871394633895, 0.41921037154013646], [0.0, 0.0], [-0.7000181319229107, -0.22039396107966858], [0.0888118624727095, 0.27333480703813073], [0.0, 0.0], [2.217047221801814, 0.0], [-0.23801314200191168, -2.264543777900821], [0.0, 0.0], [0.09674075183071384, -0.9204267704929123], [-0.24510987835290976, 2.3320647139797464], [0.0, 0.0], [0.14240562998576797, -0.24665378641920413], [-0.027427589305414817, -0.9996237929065581], [0.0, 0.0], [-0.34269352681905574, 1.054702225787534], [0.721964669025614, -0.32143938042948655], [0.0, 0.0], [1.9342995634042115, 1.093309416337582], [-0.4145216223993089, -0.18455691697280577], [0.0, 0.0], [-0.10393597679354391, -0.9888847631193977], [0.3726223511818587, 1.1468136758159424], [0.0, 0.0], [-0.17963481368247394, 0.552859108774094], [0.8478190777904406, 0.1802095080933851], [0.0, 0.0], [0.28358713450149237, -0.06027830624349132], [0.45957914484185014, 1.007340928731865], [0.0, 0.0], [0.08364450563158116, 0.7958243111721366], [-0.46813461303507437, 0.0], [0.0, 0.0], [-0.42174249654958684, -0.040431680667525394], [0.011683533343061582, -0.0052018441900897544], [0.0, 0.0], [0.24879962520743407, -0.052883992878882354], [0.5745137089633109, 0.9950869335692936], [0.0, 0.0], [-0.01391714955844888, 0.024105210131768227], [-0.07844323077783763, 0.24142343996779003], [0.0, 0.0], [-0.46694770193335744, -0.3392573638089552], [0.24988188826109725, 0.33740162818946046], [0.0, 0.0], [0.5167050668866974, 0.8949594283760348], [-0.11881710313224624, -0.05290078261973875], [0.0, 0.0], [-0.010620058376485612, -1.1614324368917177], [-0.37016607636588844, 1.1392540392520525], [0.0, 0.0], [0.0274576693738781, 0.08450601700118578], [0.42875000953023323, 0.47617512631741277], [0.0, 0.0], [-0.09910456740076079, 0.11006677283201818], [0.07841324399800673, 0.03491182553601], [0.0, 0.0], [-0.2029401483962235, -1.9308465342356855], [1.354074575062814, 1.1969776631878362], [0.0, 0.0], [-0.19418159041592595, -0.1410811835928884], [0.25019748187850593, 0.2778724545530189], [0.0, 0.0], [-1.6319577207642797, 0.029847514059850675], [0.16625433337574916, 0.2879609523852917], [0.0, 0.0], [-0.7492578807447804, 0.33359110120105856], [0.12051629374542829, 0.08756021272364013], [0.0, 0.0], [0.522917729936607, -0.37992196944696704], [1.8133267575766585, 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-0.28021981309742, -0.3085405340739689, -0.20346678631899384, -0.3144340682516765, -0.02103493591492198, -0.27186637988898205, -0.3808537741559586, -0.17944520951194814, 0.06017603021460618, -0.40086886867600724, -0.04737110707791529, -0.16414381587453633, -0.25133382607661364, -0.3800143749780962, -0.24631155435103427, -0.39830156287851615, -0.43892810176527863, -0.26063468847637333, -0.35788092200410204, -0.36050608436603093, -0.3211735415114129, -0.024082656773476027, 0.0428011768309865, -0.28949075413561853, -0.15271253419648576, -0.27375687718737823, -0.04916721121186464, -0.21621283851317902, -0.0023531067287772306, -0.31409348853961955, -0.04599161019861925, -0.426865776027677, -0.4844420322300707, -0.24204656678643327, -0.08332031611036271, -0.3392402242823864, -0.23429027788476497, -0.3576595776564869, -0.12512660799124248, -0.4400280146440105, -0.3286025389106169, -0.39209314918169386, 0.06570417167872522, -0.3543278337067375, 0.025266972570828973, -0.12850481746439918, -0.20918745086445012, -0.042832583146685574, -0.33220552277849547, -0.08893459859721663, -0.41389495843072527, -0.11476929097205515, 0.2716584282023162, -0.3515516855989659, 0.22891882748759318, -0.4406655092133761, -0.24135627607786705, -0.2969685165036263, -0.4544981415731687, -0.4117550846000546, -0.12509763796687517, 0.05655160238584391, -0.07847120055912754, -0.4187702082638623, -0.29623193583970103, -0.2407072387883786, -0.09650941904855195, -0.4174551855086232, 0.1498475804789027, -0.25892559165883783, -0.10308646258449458, -0.0954764776572619, 0.005235888695577683, -0.2348361299089436, -0.025961401291395212, -0.26809110641541734, -0.08925593547587954, -0.27984526707856267, -0.06192055242151593, -0.2845909204709372, 0.14115552390136418, -0.10593482545242341, -0.36822440115475386, -0.2801789510399876, -0.21539868625349934, -0.12840023695080569, 0.1726898432651239, -0.35865115703061357, 0.06616183027783494, 0.020281714519759343, 0.10752761762060366, -0.22514183772746973, -0.26238755904199235, -0.3390455743962961, -0.0009772980453940864, -0.10961349594996675, -0.31571307979382657, -0.4205095771359092, -0.3149350736495554, -0.44194168106530657, -0.1723978383703465, -0.47802585906399525, -0.474958208811518, -0.3073175868388472, -0.4224656903349892, -0.0876999171824097, -0.3930782139573757, -0.28572222637281325, -0.345733229616171, 0.2892688305475285, -0.2971833222498852, -0.22649917310841972, -0.11445408662702583, -0.4705416567447452, -0.31407467360839353, -0.4016265249670384, -0.42542103075810334, -0.3952884145481853], 'char_orbit_index': 18, 'conrey_index': 46, 'dual_conrey_index': 631, 'dual_embedding_index': 23, 'dual_embedding_m': 219, 'embedding_index': 23, 'embedding_m': 23, 'hecke_orbit': 1, 'hecke_orbit_code': 1168264659619, 'label': '675.2.r.a.46.23', 'level': 675, 'weight': 2}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 225, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 15, 'char_parity': 1, 'char_values': [675, 15, [326, 352], [10, 9]], 'conrey_index': 46, 'cusp_dim': 672, 'dim': 224, 'eis_dim': 96, 'eis_new_dim': 32, 'hecke_cutter_primes': [], 'hecke_orbit_code': 1168264659619, 'hecke_orbit_dims': [224], 'label': '675.2.r', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 768, 'mf_new_dim': 256, 'num_forms': 1, 'prim_orbit_index': 17, 'relative_dim': 28, 'sturm_bound': 180, 'trace_bound': 0, 'trace_display': [3, 0, 8, -8], 'traces': [224, 3, 0, 23, 8, 0, -8, 20, 0, -20, 11, 0, -3, -1, 0, 23, 24, 0, -12, -1, 0, -11, -1, 0, -16, 136, 0, 4, 15, 0, 3, -12, 0, 1, -14, 0, -24, -55, 0, 1, 19, 0, -8, -4, 0, -20, 10, 0, -72, 3, 0, -25, 12, 0, -20, 60, 0, -23, 30, 0, -3, 44, 0, -44, -51, 0, -12, 156, 0, -16, -42, 0, -12, -90, 0, -8, -31, 0, -15, -298, 0, 8, -59, 0, -11, -9, 0, -23, -106, 0, 30, -11, 0, 25, -7, 0, -21, -146, 0, -148, -114, 0, -21, 17, 0, 37, 76, 0, -12, 57, 0, 55, -83, 0, -5, 24, 0, 32, 50, 0, -7, 98, 0, 4, 224, 0, -96, 24, 0, -30, 67, 0, -51, -130, 0, 48, 75, 0, 15, -317, 0, 25, -200, 0, -8, 88, 0, 41, -120, 0, 16, 42, 0, -58, 127, 0, -14, -187, 0, 57, -38, 0, 114, 136, 0, -74, -19, 0, 1, -146, 0, -80, 34, 0, 67, -190, 0, -23, -62, 0, 24, 74, 0, 13, 65, 0, 7, 592, 0, -32, 37, 0, -32, -1, 0, 6, -92, 0, -80, -135, 0, 87, -31, 0, 7, -250, 0, -184, 51, 0, -3, 23, 0, 27, 306, 0, 102, 230, 0, 61, 32, 0, 87, 504, 0, -88, -83, 0, 51, 246, 0, -28, 208, 0, -32, 35, 0, 131, 111, 0, -39, 160, 0, 12, 39, 0, 5, 163, 0, 175, 504, 0, -116, -15, 0, -77, 70, 0, -78, -88, 0, 184, -179, 0, -50, -61, 0, 64, -76, 0, 12, -41, 0, 44, -91, 0, 69, -296, 0, 86, 61, 0, 33, 188, 0, -58, -174, 0, 8, -529, 0, 111, 248, 0, 97, -348, 0, -264, -246, 0, 134, 49, 0, 73, -432, 0, -92, -232, 0, -203, 43, 0, -39, -266, 0, -228, -121, 0, -47, 307, 0, -160, -312, 0, -24, -268, 0, 77, 19, 0, -12, -308, 0, -92, 111, 0, -108, -364, 0, 27, -130, 0, 68, 77, 0, -11, -27, 0, -80, 166, 0, 146, -40, 0, -77, 29, 0, 187, -88, 0, 112, -157, 0, -17, -263, 0, -30, -732, 0, 264, 146, 0, -129, -306, 0, -52, 414, 0, 60, 380, 0, -4, -29, 0, -46, -116, 0, -360, -55, 0, 103, -183, 0, 25, -214, 0, 264, 358, 0, -1, -308, 0, 11, -116, 0, 62, 108, 0, 27, 154, 0, 9, 600, 0, -92, 53, 0, 26, 69, 0, -75, 96, 0, 632, -197, 0, 21, 122, 0, -109, -314, 0, 144, 231, 0, -100, 29, 0, -30, 1700, 0, -114, 250, 0, 1, 126, 0, 26, 712, 0, 260, -35, 0, -23, 206, 0, 208, 660, 0, 406, 123, 0, -87, 327, 0, 43, -4, 0, 174, 428, 0, 107, 96, 0, -9, 824, 0, 208, 85, 0, 59, 424, 0, 65, 10, 0, -204, -610, 0, 123, 85, 0, -190, 128, 0, -116, 59, 0, -8, -181, 0, 27, 192, 0, -18, 231, 0, 117, 50, 0, -108, 220, 0, 120, -343, 0, -89, 224, 0, -309, -110, 0, 60, -506, 0, -64, -220, 0, 17, -830, 0, 152, -63, 0, 252, -13, 0, 127, -302, 0, 84, -157, 0, -277, 282, 0, 141, -876, 0, 322, -456, 0, -51, 42, 0, -51, -712, 0, 102, 161, 0, -20, -387, 0, 19, 112, 0, -196, 79, 0, 39, -87, 0, -56, 172, 0, 168, 220, 0, 133, 94, 0, 7, -514, 0, -408, 93, 0, 71, -942, 0, 53, -852, 0, -214, 211, 0, -22, -324, 0, 22, -124, 0, 220, 336, 0, -98, -266, 0, -137, -12, 0, -288, 371, 0, 47, -215, 0, -21, -1104, 0, -320, 350, 0, -136, -184, 0, -113, -340, 0, -66, 696, 0, -209, -78, 0, 3, 1450, 0, 396, 63, 0, -128, -221, 0, 145, 34, 0, -328, -46, 0, -253, -138, 0, -2, -414, 0, 254, 242, 0, 99, -265, 0, -45, 642, 0, -272, 408, 0, -149, 204, 0, -207, 352, 0, -860, -286, 0, -45, 632, 0, -394, -2, 0, -452, -274, 0, -131, 72, 0, 39, 428, 0, -344, 230, 0, -56, 449, 0, -497, 660, 0, 44, -331, 0, 79, 234, 0, -93, -218, 0, -332, -373, 0, -93, -50, 0, 404, -210, 0, 42, -272, 0, -176, -287, 0, -192, 150, 0, -92, 15, 0, -150, 254, 0, 239, -108, 0, -180, -993, 0, -34, 396, 0, 225, -868, 0, 464, -314, 0, -122, -194, 0, -225, -452, 0, -20, -316, 0, -97, 179, 0, -24, -136, 0, 160, -107, 0, 99, 563, 0, 145, -346, 0, -216, -878, 0, 73, -33, 0, 133, -1456, 0, 450, -78, 0, 165, -859, 0, -41, -278, 0, 36, -235, 0, -281, 4, 0, 62, 244, 0, -840, -359, 0, -22, 554, 0, -408, -162, 0, 36, -210, 0, 209, -251, 0, -48, -664, 0, -136, 61, 0, 141, -890, 0, -116, 520, 0, -456, 497, 0, -292, -34, 0, 97, 222, 0, 814, 275, 0, -139, -189, 0, 81, -522, 0, 244, 519, 0, 235, -444, 0, 117, 606, 0, -156, 630, 0, 60, -129, 0, 43, 1006, 0, -272, -243, 0, 740, 195, 0, -130, 214, 0, -340, -43, 0, 225, 249, 0, 303, -170, 0, -300, 361, 0, -69, 59, 0, 120, 2404, 0, 774, 500, 0, 373, 496, 0, 321, 1088, 0, -40, 113, 0, 209, 437, 0, 418, 362, 0, -408, 29, 0, 247, 369, 0, -252, 636, 0, 60, 588, 0, 169, 325, 0, 267, 356, 0, -110, 122, 0, -162, 884, 0, 61, 76, 0, 588, -742, 0, -110, 33, 0, 206, 408, 0, 404, -4, 0, 360, 155, 0, 432, 770, 0, 226, 553, 0, 64, 231, 0, 79, 1174, 0, -76, -443, 0, 123, 694, 0, 235, -462, 0, -306, -70, 0, 382, -434, 0, 121, -1672, 0, -208, 163, 0, -422, -137, 0, -49, -550, 0, -540, -436, 0, 59, 172, 0, -216, -1076, 0, 418], 'weight': 2, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 14534031
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 46, 'target_dim': 224, 'target_embedding_index': 23, 'target_hecke_orbit_code': 1168264659619, 'target_is_minimal': False, 'target_label': '675.2.r.a.46.23', 'target_level': 675, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 14534032
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 196, 'target_dim': 224, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1099545182433, 'target_is_minimal': True, 'target_label': '225.2.q.a.196.6', 'target_level': 225, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 14534033
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 496, 'target_dim': 224, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1168264659619, 'target_is_minimal': False, 'target_label': '675.2.r.a.496.6', 'target_level': 675, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 14534034
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 121, 'target_dim': 224, 'target_embedding_index': 23, 'target_hecke_orbit_code': 1099545182433, 'target_is_minimal': True, 'target_label': '225.2.q.a.121.23', 'target_level': 225, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 14534035
    {'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 181, 'target_dim': 224, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1168264659619, 'target_is_minimal': False, 'target_label': '675.2.r.a.181.6', 'target_level': 675, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
  • id: 14534036
    {'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 106, 'target_dim': 224, 'target_embedding_index': 23, 'target_hecke_orbit_code': 1099545182433, 'target_is_minimal': True, 'target_label': '225.2.q.a.106.23', 'target_level': 225, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '75.56', 'twisting_conrey_index': 56, 'weight': 2}
  • id: 14534037
    {'conductor': 225, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 631, 'target_dim': 224, 'target_embedding_index': 23, 'target_hecke_orbit_code': 1168264659619, 'target_is_minimal': False, 'target_label': '675.2.r.a.631.23', 'target_level': 675, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '225.31', 'twisting_conrey_index': 31, 'weight': 2}
  • id: 14534038
    {'conductor': 225, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 224, 'source_embedding_index': 23, 'source_hecke_orbit_code': 1168264659619, 'source_is_minimal': False, 'source_label': '675.2.r.a.46.23', 'source_level': 675, 'target_conrey_index': 31, 'target_dim': 224, 'target_embedding_index': 6, 'target_hecke_orbit_code': 1099545182433, 'target_is_minimal': True, 'target_label': '225.2.q.a.31.6', 'target_level': 225, 'twist_class_label': '225.2.q.a.31.6', 'twist_class_level': 225, 'twisting_char_label': '225.131', 'twisting_conrey_index': 131, 'weight': 2}
• hecke_orbit_code 1168264659619 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '675.2.r.a', 'level': 675, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 12398256
    {'hecke_orbit_code': 1168264659619, 'n': 1, 'trace_an': 224}
  • id: 12398257
    {'hecke_orbit_code': 1168264659619, 'n': 2, 'trace_an': 3}
  • id: 12398258
    {'hecke_orbit_code': 1168264659619, 'n': 3, 'trace_an': 0}
  • id: 12398259
    {'hecke_orbit_code': 1168264659619, 'n': 4, 'trace_an': 23}
  • id: 12398260
    {'hecke_orbit_code': 1168264659619, 'n': 5, 'trace_an': 8}
  • id: 12398261
    {'hecke_orbit_code': 1168264659619, 'n': 6, 'trace_an': 0}
  • id: 12398262
    {'hecke_orbit_code': 1168264659619, 'n': 7, 'trace_an': -8}
  • id: 12398263
    {'hecke_orbit_code': 1168264659619, 'n': 8, 'trace_an': 20}
  • id: 12398264
    {'hecke_orbit_code': 1168264659619, 'n': 9, 'trace_an': 0}
  • id: 12398265
    {'hecke_orbit_code': 1168264659619, 'n': 10, 'trace_an': -20}
  • id: 12398266
    {'hecke_orbit_code': 1168264659619, 'n': 11, 'trace_an': 11}
  • id: 12398267
    {'hecke_orbit_code': 1168264659619, 'n': 12, 'trace_an': 0}
  • id: 12398268
    {'hecke_orbit_code': 1168264659619, 'n': 13, 'trace_an': -3}
  • id: 12398269
    {'hecke_orbit_code': 1168264659619, 'n': 14, 'trace_an': -1}
  • id: 12398270
    {'hecke_orbit_code': 1168264659619, 'n': 15, 'trace_an': 0}
  • id: 12398271
    {'hecke_orbit_code': 1168264659619, 'n': 16, 'trace_an': 23}
  • id: 12398272
    {'hecke_orbit_code': 1168264659619, 'n': 17, 'trace_an': 24}
  • id: 12398273
    {'hecke_orbit_code': 1168264659619, 'n': 18, 'trace_an': 0}
  • id: 12398274
    {'hecke_orbit_code': 1168264659619, 'n': 19, 'trace_an': -12}
  • id: 12398275
    {'hecke_orbit_code': 1168264659619, 'n': 20, 'trace_an': -1}
  • id: 12398276
    {'hecke_orbit_code': 1168264659619, 'n': 21, 'trace_an': 0}
  • id: 12398277
    {'hecke_orbit_code': 1168264659619, 'n': 22, 'trace_an': -11}
  • id: 12398278
    {'hecke_orbit_code': 1168264659619, 'n': 23, 'trace_an': -1}
  • id: 12398279
    {'hecke_orbit_code': 1168264659619, 'n': 24, 'trace_an': 0}
  • id: 12398280
    {'hecke_orbit_code': 1168264659619, 'n': 25, 'trace_an': -16}
  • id: 12398281
    {'hecke_orbit_code': 1168264659619, 'n': 26, 'trace_an': 136}
  • id: 12398282
    {'hecke_orbit_code': 1168264659619, 'n': 27, 'trace_an': 0}
  • id: 12398283
    {'hecke_orbit_code': 1168264659619, 'n': 28, 'trace_an': 4}
  • id: 12398284
    {'hecke_orbit_code': 1168264659619, 'n': 29, 'trace_an': 15}
  • id: 12398285
    {'hecke_orbit_code': 1168264659619, 'n': 30, 'trace_an': 0}
  • id: 12398286
    {'hecke_orbit_code': 1168264659619, 'n': 31, 'trace_an': 3}
  • id: 12398287
    {'hecke_orbit_code': 1168264659619, 'n': 32, 'trace_an': -12}
  • id: 12398288
    {'hecke_orbit_code': 1168264659619, 'n': 33, 'trace_an': 0}
  • id: 12398289
    {'hecke_orbit_code': 1168264659619, 'n': 34, 'trace_an': 1}
  • id: 12398290
    {'hecke_orbit_code': 1168264659619, 'n': 35, 'trace_an': -14}
  • id: 12398291
    {'hecke_orbit_code': 1168264659619, 'n': 36, 'trace_an': 0}
  • id: 12398292
    {'hecke_orbit_code': 1168264659619, 'n': 37, 'trace_an': -24}
  • id: 12398293
    {'hecke_orbit_code': 1168264659619, 'n': 38, 'trace_an': -55}
  • id: 12398294
    {'hecke_orbit_code': 1168264659619, 'n': 39, 'trace_an': 0}
  • id: 12398295
    {'hecke_orbit_code': 1168264659619, 'n': 40, 'trace_an': 1}
  • id: 12398296
    {'hecke_orbit_code': 1168264659619, 'n': 41, 'trace_an': 19}
  • id: 12398297
    {'hecke_orbit_code': 1168264659619, 'n': 42, 'trace_an': 0}
  • id: 12398298
    {'hecke_orbit_code': 1168264659619, 'n': 43, 'trace_an': -8}
  • id: 12398299
    {'hecke_orbit_code': 1168264659619, 'n': 44, 'trace_an': -4}
  • id: 12398300
    {'hecke_orbit_code': 1168264659619, 'n': 45, 'trace_an': 0}
  • id: 12398301
    {'hecke_orbit_code': 1168264659619, 'n': 46, 'trace_an': -20}
  • id: 12398302
    {'hecke_orbit_code': 1168264659619, 'n': 47, 'trace_an': 10}
  • id: 12398303
    {'hecke_orbit_code': 1168264659619, 'n': 48, 'trace_an': 0}
  • id: 12398304
    {'hecke_orbit_code': 1168264659619, 'n': 49, 'trace_an': -72}
  • id: 12398305
    {'hecke_orbit_code': 1168264659619, 'n': 50, 'trace_an': 3}
  • id: 12398306
    {'hecke_orbit_code': 1168264659619, 'n': 51, 'trace_an': 0}
  • id: 12398307
    {'hecke_orbit_code': 1168264659619, 'n': 52, 'trace_an': -25}
  • id: 12398308
    {'hecke_orbit_code': 1168264659619, 'n': 53, 'trace_an': 12}
  • id: 12398309
    {'hecke_orbit_code': 1168264659619, 'n': 54, 'trace_an': 0}
  • id: 12398310
    {'hecke_orbit_code': 1168264659619, 'n': 55, 'trace_an': -20}
  • id: 12398311
    {'hecke_orbit_code': 1168264659619, 'n': 56, 'trace_an': 60}
  • id: 12398312
    {'hecke_orbit_code': 1168264659619, 'n': 57, 'trace_an': 0}
  • id: 12398313
    {'hecke_orbit_code': 1168264659619, 'n': 58, 'trace_an': -23}
  • id: 12398314
    {'hecke_orbit_code': 1168264659619, 'n': 59, 'trace_an': 30}
  • id: 12398315
    {'hecke_orbit_code': 1168264659619, 'n': 60, 'trace_an': 0}
  • id: 12398316
    {'hecke_orbit_code': 1168264659619, 'n': 61, 'trace_an': -3}
  • id: 12398317
    {'hecke_orbit_code': 1168264659619, 'n': 62, 'trace_an': 44}
  • id: 12398318
    {'hecke_orbit_code': 1168264659619, 'n': 63, 'trace_an': 0}
  • id: 12398319
    {'hecke_orbit_code': 1168264659619, 'n': 64, 'trace_an': -44}
  • id: 12398320
    {'hecke_orbit_code': 1168264659619, 'n': 65, 'trace_an': -51}
  • id: 12398321
    {'hecke_orbit_code': 1168264659619, 'n': 66, 'trace_an': 0}
  • id: 12398322
    {'hecke_orbit_code': 1168264659619, 'n': 67, 'trace_an': -12}
  • id: 12398323
    {'hecke_orbit_code': 1168264659619, 'n': 68, 'trace_an': 156}
  • id: 12398324
    {'hecke_orbit_code': 1168264659619, 'n': 69, 'trace_an': 0}
  • id: 12398325
    {'hecke_orbit_code': 1168264659619, 'n': 70, 'trace_an': -16}
  • id: 12398326
    {'hecke_orbit_code': 1168264659619, 'n': 71, 'trace_an': -42}
  • id: 12398327
    {'hecke_orbit_code': 1168264659619, 'n': 72, 'trace_an': 0}
  • id: 12398328
    {'hecke_orbit_code': 1168264659619, 'n': 73, 'trace_an': -12}
  • id: 12398329
    {'hecke_orbit_code': 1168264659619, 'n': 74, 'trace_an': -90}
  • id: 12398330
    {'hecke_orbit_code': 1168264659619, 'n': 75, 'trace_an': 0}
  • id: 12398331
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  • id: 12398332
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  • id: 12398333
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  • id: 12398334
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  • id: 12398335
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  • id: 12398336
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  • id: 12398337
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  • id: 12398338
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  • id: 12398339
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  • id: 12398340
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  • id: 12398341
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  • id: 12398342
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  • id: 12398343
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  • id: 12398344
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  • id: 12398345
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  • id: 12398346
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  • id: 12398347
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  • id: 12398348
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  • id: 12398349
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  • id: 12398350
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  • id: 12398351
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  • id: 12398352
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  • id: 12398353
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  • id: 12398354
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  • id: 12398355
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  • id: 12398356
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  • id: 12398357
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  • id: 12398358
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  • id: 12398359
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  • id: 12398360
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  • id: 12398361
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  • id: 12398362
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  • id: 12398363
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  • id: 12398364
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  • id: 12398365
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  • id: 12398366
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  • id: 12398367
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  • id: 12398368
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  • id: 12398369
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  • id: 12398370
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  • id: 12398371
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  • id: 12398372
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  • id: 12398373
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  • id: 12398374
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  • id: 12398375
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  • id: 12398376
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  • id: 12398377
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  • id: 12398378
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  • id: 12398379
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  • id: 12398380
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  • id: 12398381
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  • id: 12398382
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  • id: 12398383
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  • id: 12398384
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  • id: 12398385
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  • id: 12398386
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  • id: 12398387
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  • id: 12398388
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  • id: 12398389
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  • id: 12398390
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  • id: 12398391
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  • id: 12398392
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  • id: 12398393
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  • id: 12398394
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  • id: 12398395
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  • id: 12398396
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  • id: 12398397
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  • id: 12398398
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  • id: 12398399
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  • id: 12398400
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  • id: 12398401
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  • id: 12398402
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  • id: 12398403
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  • id: 12398404
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  • id: 12398405
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  • id: 12398406
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  • id: 12398407
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  • id: 12398408
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  • id: 12398409
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  • id: 12398410
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  • id: 12398411
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  • id: 12398412
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  • id: 12398413
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  • id: 12398414
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  • id: 12398415
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  • id: 12398416
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  • id: 12398417
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  • id: 12398418
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  • id: 12398419
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  • id: 12398420
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  • id: 12398421
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  • id: 12398422
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  • id: 12398423
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  • id: 12398424
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  • id: 12398425
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  • id: 12398426
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  • id: 12398427
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  • id: 12398428
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  • id: 12398429
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  • id: 12398430
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  • id: 12398431
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  • id: 12398432
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  • id: 12398433
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  • id: 12398434
    {'hecke_orbit_code': 1168264659619, 'n': 499, 'trace_an': -8}
  • id: 12398435
    {'hecke_orbit_code': 1168264659619, 'n': 503, 'trace_an': 192}
  • id: 12398436
    {'hecke_orbit_code': 1168264659619, 'n': 509, 'trace_an': 50}
  • id: 12398437
    {'hecke_orbit_code': 1168264659619, 'n': 512, 'trace_an': 220}
  • id: 12398438
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  • id: 12398439
    {'hecke_orbit_code': 1168264659619, 'n': 523, 'trace_an': 60}
  • id: 12398440
    {'hecke_orbit_code': 1168264659619, 'n': 529, 'trace_an': 17}
  • id: 12398441
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  • id: 12398442
    {'hecke_orbit_code': 1168264659619, 'n': 547, 'trace_an': 141}
  • id: 12398443
    {'hecke_orbit_code': 1168264659619, 'n': 557, 'trace_an': -712}
  • id: 12398444
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  • id: 12398445
    {'hecke_orbit_code': 1168264659619, 'n': 569, 'trace_an': 79}
  • id: 12398446
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  • id: 12398447
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  • id: 12398448
    {'hecke_orbit_code': 1168264659619, 'n': 587, 'trace_an': 93}
  • id: 12398449
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  • id: 12398450
    {'hecke_orbit_code': 1168264659619, 'n': 599, 'trace_an': -324}
  • id: 12398451
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  • id: 12398452
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  • id: 12398453
    {'hecke_orbit_code': 1168264659619, 'n': 613, 'trace_an': -288}
  • id: 12398454
    {'hecke_orbit_code': 1168264659619, 'n': 617, 'trace_an': -215}
  • id: 12398455
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  • id: 12398456
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  • id: 12398457
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  • id: 12398458
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  • id: 12398459
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  • id: 12398460
    {'hecke_orbit_code': 1168264659619, 'n': 647, 'trace_an': 34}
  • id: 12398461
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  • id: 12398462
    {'hecke_orbit_code': 1168264659619, 'n': 659, 'trace_an': 242}
  • id: 12398463
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  • id: 12398464
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  • id: 12398465
    {'hecke_orbit_code': 1168264659619, 'n': 677, 'trace_an': -286}
  • id: 12398466
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  • id: 12398467
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  • id: 12398468
    {'hecke_orbit_code': 1168264659619, 'n': 701, 'trace_an': 660}
  • id: 12398469
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  • id: 12398470
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  • id: 12398471
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  • id: 12398472
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  • id: 12398473
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  • id: 12398474
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  • id: 12398475
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  • id: 12398476
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  • id: 12398477
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  • id: 12398478
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  • id: 12398479
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  • id: 12398480
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  • id: 12398481
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  • id: 12398482
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  • id: 12398483
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  • id: 12398484
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  • id: 12398485
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  • id: 12398486
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  • id: 12398487
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  • id: 12398488
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  • id: 12398489
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  • id: 12398490
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  • id: 12398491
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  • id: 12398492
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  • id: 12398493
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  • id: 12398494
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  • id: 12398495
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  • id: 12398496
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  • id: 12398497
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  • id: 12398498
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  • id: 12398499
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  • id: 12398500
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  • id: 12398501
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  • id: 12398502
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  • id: 12398503
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  • id: 12398504
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  • id: 12398505
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  • id: 12398506
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  • id: 12398507
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  • id: 12398508
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  • id: 12398509
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  • id: 12398510
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  • id: 12398511
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  • id: 12398512
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  • id: 12398513
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