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{'Nk2': 29700, 'analytic_conductor': 132.31665134570903, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, 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': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 1023399893418761748374616156760, 'field_disc_factorization': [[2, 3], [5, 1], [7, 1], [23, 1], [11593, 1], [935732969, 1], [14649126617887, 1]], 'field_poly': [-33248, 149572, -118840, -15851, 9055, 272, -176, -1, 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, [-277200, -305880, -22268, 45922, 5160, -1251, -141, 9, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994511221561, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 180, 'hecke_ring_index_factorization': [[2, 2], [3, 2], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '825.6.a.p', 'level': 825, 'level_is_powerful': False, '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, 11], 'level_radical': 165, 'minimal_twist': '825.6.a.p', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{2}+9q^{3}+(13+\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.6.a', 'trace_display': [-9, 72, 0, 66], 'trace_hash': 1059576368990922674, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '150.965', 'prec': 24}, {'__RealLiteral__': 0, 'data': '15.439', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5085.365', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [8, -9, 72, 107, 0, -81, 66, -207, 648, 0, -968, 963, -382, 1048, 0, -325, -288, -729, -988, 0, 594, 1089, -5972, -1863, 0, -14579, 5832, -5942, 1032, 0, -4682, -3863, -8712, 2206, 0, 8667, 17200, -11011, -3438, 0, -13220, 9432, -22872, -12947, 0, 9101, -6700, -2925, -43466, 0, -2592, -5009, -6224, -6561, 0, 20992, -8892, -33015, -77556, 0, 11554, -12135, 5346, -149917, 0, 9801, -20894, -91776, -53748, 0, -21648, -16767, -64660, -179522, 0, 24401, -7986, -131211, -22660, 0, 52488, 56080, -100390, -53478, 0, 47271, 9288, 25047, -25578, 0, 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mf_hecke_nf • Show schema
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30187980, -10464780, 1071292, 85652, -2186568, -375264, 668604], [-56666572, -43793804, 1179302, 1324010, -400422, 297230, 541328, 38040], [-31228794, 47651515, 945196, -1436487, -438647, -153479, -811599, 89600], [166481996, -20107625, 6146093, -681219, 66963, 3015488, -116822, 101667], [-163659130, 7440588, 4488996, 900004, 1053332, -182616, -1386872, 1252], [35042618, -42586746, -9577454, 758270, -379518, -322080, -1543768, 437110], [58828938, 30425004, 4485847, 500322, 892568, -618675, -1848871, 5149], [61794259, 2809151, -822040, -849625, 242287, 629281, -379977, 1222044], [-182516208, 5498513, 748731, -837855, 612655, -823088, 4078052, -514065], [90479139, -44935055, 6109468, -328635, -470399, 215731, 1342389, -153834], [-188211388, -11207142, 1308276, -405056, 418556, -645686, -2956916, -441398], [-68320459, -37132886, -1507171, 286538, 978024, 1474069, -426685, -278049], [376372339, -32432454, -10171985, -847035, 3761, -867085, -1755868, -289158], [26974938, -29442583, -1299136, -2543669, 124531, 607607, 1666439, -226524], [-70305978, -24981698, 5425380, -711490, -305578, -1313082, 1291898, 715832]], 'char_orbit_index': 1, 'field_poly': [-33248, 149572, -118840, -15851, 9055, 272, -176, -1, 1], 'hecke_orbit_code': 67553994511221561, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 160, 320, 320, 320], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [44, -1, 1, 0, 0, 0, 0, 0], [-44, 72, -2, 1, 0, 0, 0, 0], [3164, -159, 91, -2, 2, 2, -2, 0], [-6972, 5750, -306, 115, -10, 10, 2, 4], [252852, -19783, 8081, -338, 308, 188, -356, -56], [-869884, 487168, -37078, 11345, -1952, 1568, 672, 640]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-44, 1, 1, 0, 0, 0, 0, 0], [-44, -70, 2, 1, 0, 0, 0, 0], [55536, -36334, -7927, 1600, 164, -14, -1, 0], [99104, -85572, -13084, 7407, 176, -160, 0, 1], [89856, -146720, -15018, 10287, 344, -188, -2, 1], [-129568, 314100, 6664, -24861, 208, 504, -4, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '825.6.a.p', 'level': 825, 'maxp': 2999, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [18, 21, 22, 20, 19, 16, 21, 23], 'Nk2': 29700, 'analytic_conductor': 132.31665134570903, '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': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 588, 'dim': 160, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100664121, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 7, 7, 8, 8, 9, 9, 10, 10, 13, 13, 13, 13], 'label': '825.6.a', 'level': 825, 'level_is_powerful': False, '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, 11], 'level_radical': 165, 'mf_dim': 612, 'mf_new_dim': 160, 'num_forms': 25, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 720, 'trace_bound': 4, 'trace_display': [-8, -18, 0, -36], 'traces': [160, 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108018332, -62568288, 0, 158250496, -23722776, 174284872, 14664312, 0, 29367996, 375011528, -29406240, 336775752, 0, 395971200, 87742604, 1581228, 167777064, 0, 423794488, -5668704, -109809968, -313397768, 0, 140187464, 131105704, -104174784, 45406944, 0, -48530988, 25929232, 152353760, 81618840, 0, 137679392, 165223296, -93843800, -88702888, 0, 266110348, 216524336, 62282232, -174348624, 0, -287723880, -261509096, 184948144, 53937252, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 521832
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '825.6.a.p', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '825.6.a.p', 'target_level': 825, 'twist_class_label': '825.6.a.p', 'twist_class_level': 825, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 521833
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '825.6.a.p', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '825.6.a.q', 'target_level': 825, 'twist_class_label': '825.6.a.p', 'twist_class_level': 825, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 1303900
{'charpoly_factorization': [[[-277200, -305880, -22268, 45922, 5160, -1251, -141, 9, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 2}
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id: 1303901
{'charpoly_factorization': [[[-9, 1], 8]], 'hecke_orbit_code': 67553994511221561, 'p': 3}
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id: 1303902
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 67553994511221561, 'p': 5}
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id: 1303903
{'charpoly_factorization': [[[-16208419192764, -956749065620, 447350231285, -21428297834, 229947387, 2993728, -43317, -66, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 7}
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id: 1303904
{'charpoly_factorization': [[[121, 1], 8]], 'hecke_orbit_code': 67553994511221561, 'p': 11}
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id: 1303905
{'charpoly_factorization': [[[29768594901532270592, -269346234065601280, -13279307638628560, -19399964975608, 409444035723, -209409990, -1233660, 382, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 13}
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id: 1303906
{'charpoly_factorization': [[[-292649235990719260953600, 1988650484532328777200, -2770652410257892908, -3322137594471736, 7453158971889, 756711112, -5036646, 288, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 17}
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id: 1303907
{'charpoly_factorization': [[[-27332013204042933152281023, -93730456380197130991140, -67612185614305884284, 54859898442344996, 58138788158518, -11869788124, -13849084, 988, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 19}
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id: 1303908
{'charpoly_factorization': [[[-3113163287280747459049428, 15281666798746891572444, 69967844531909239279, -31761263884922556, -173962094878713, -109438953460, -9368739, 5972, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 23}
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id: 1303909
{'charpoly_factorization': [[[721019268277435490735381184, -701056658308509683974080, -3900637172314241359728, -1171904833692208288, 1164954080577988, 136385794628, -80275817, -1032, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 29}
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id: 1303910
{'charpoly_factorization': [[[-9548811089779667728137570000, -16686681599728745996899200, -5352600958391634074264, 3873373443108252792, 1670428542873099, -281234671730, -78081908, 4682, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 31}
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id: 1303911
{'charpoly_factorization': [[[-2979488468179736121867155552464, 4912958443181432923706281776, -701894273609355809601168, -280435296785225505916, 19959697548846457, 3983713586852, -230184946, -17200, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 37}
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id: 1303912
{'charpoly_factorization': [[[-3387960619781355463160179959696, -5767152566317059591942235632, 132384930015974154504480, 335176746239433359676, 11528132540235433, -5533488078480, -370964634, 13220, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 41}
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id: 1303913
{'charpoly_factorization': [[[6887036086166804667936632047872, 3030980410046186134722525696, -5231402269785562644416800, 845947348005770357728, 61204830520082089, -10754530573240, -496401418, 22872, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 43}
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id: 1303914
{'charpoly_factorization': [[[21882747586496394614956372224000, -19018659575461717435612723200, -25597009613620819483028592, 543270367207572356888, 327679652914896601, -3349876481676, -1101305122, 6700, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 47}
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id: 1303915
{'charpoly_factorization': [[[-5565713576458488972322419291193344, -835679046409407538885553356800, 89231236716795802152845312, 20127833720973047417600, 766189953687893440, -27648711321968, -1790258940, 6224, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 53}
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id: 1303916
{'charpoly_factorization': [[[2743366557991731049312886402035200, 1201987195469857775907153442560, -121990767575788156464951188, -50001908149771677262728, -4173064390571672647, -120710773688212, 384019458, 77556, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 59}
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id: 1303917
{'charpoly_factorization': [[[-5953365423227504215502221643468800, -4569623846238468125786049745920, -1001275706637601500104153152, -34244146190891554634016, 5386676365093523372, 40297627546416, -4464951563, -11554, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 61}
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id: 1303918
{'charpoly_factorization': [[[4519088189120266954217039132912844800, -85509077318569733895162778255360, -20183939111853728106147580992, 121789067973570269886688, 22755249451230039724, -99364436136032, -8412920251, 20894, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 67}
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id: 1303919
{'charpoly_factorization': [[[3948948409880827551191314442077559088, 64871194129720108579538376654024, -16069398508580500083112614893, -84148821849415474130392, 20414056284410490259, -52475445464896, -7915443863, 21648, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 71}
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id: 1303920
{'charpoly_factorization': [[[5948872230043400057717821823170297856, -202778762153810349231365351985152, -15219584061782581039710435584, 440256258967588567465344, 14271378369496915760, -302465422876720, -5948944640, 64660, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 73}
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id: 1303921
{'charpoly_factorization': [[[2168301608717830410466240741593408512, -877639895206039790104616385085376, -46479903432030673144809840272, 862923930759189981514796, 51467418121802758577, -209974290040624, -13891355874, 22660, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 79}
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id: 1303922
{'charpoly_factorization': [[[2792046883843657358798194707919156800, -223370555808740738247352179656640, -7282880488687068724280229072, 625589214241151298190656, 9024689880809608652, -460773963541612, -4972035075, 100390, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 83}
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id: 1303923
{'charpoly_factorization': [[[21230202926167962665082065539949740032, -1760997321138284670668345213564928, -61986895828297739631189121984, 4017676642241720337104864, 71583238270923338260, -1192707941416588, -21705015635, 25578, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 89}
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id: 1303924
{'charpoly_factorization': [[[-134234489650421206365056584305842794775, -4897025978787858395861019111565380, 303156441158629197296100587756, 13869675173250767116553844, 47547144985686806894, -3003974779671580, -21162252612, 142828, 1], 1]], 'hecke_orbit_code': 67553994511221561, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '825.6.a.p', 'level': 825, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 61133593
{'hecke_orbit_code': 67553994511221561, 'n': 1, 'trace_an': 8}
-
id: 61133594
{'hecke_orbit_code': 67553994511221561, 'n': 2, 'trace_an': -9}
-
id: 61133595
{'hecke_orbit_code': 67553994511221561, 'n': 3, 'trace_an': 72}
-
id: 61133596
{'hecke_orbit_code': 67553994511221561, 'n': 4, 'trace_an': 107}
-
id: 61133597
{'hecke_orbit_code': 67553994511221561, 'n': 5, 'trace_an': 0}
-
id: 61133598
{'hecke_orbit_code': 67553994511221561, 'n': 6, 'trace_an': -81}
-
id: 61133599
{'hecke_orbit_code': 67553994511221561, 'n': 7, 'trace_an': 66}
-
id: 61133600
{'hecke_orbit_code': 67553994511221561, 'n': 8, 'trace_an': -207}
-
id: 61133601
{'hecke_orbit_code': 67553994511221561, 'n': 9, 'trace_an': 648}
-
id: 61133602
{'hecke_orbit_code': 67553994511221561, 'n': 10, 'trace_an': 0}
-
id: 61133603
{'hecke_orbit_code': 67553994511221561, 'n': 11, 'trace_an': -968}
-
id: 61133604
{'hecke_orbit_code': 67553994511221561, 'n': 12, 'trace_an': 963}
-
id: 61133605
{'hecke_orbit_code': 67553994511221561, 'n': 13, 'trace_an': -382}
-
id: 61133606
{'hecke_orbit_code': 67553994511221561, 'n': 14, 'trace_an': 1048}
-
id: 61133607
{'hecke_orbit_code': 67553994511221561, 'n': 15, 'trace_an': 0}
-
id: 61133608
{'hecke_orbit_code': 67553994511221561, 'n': 16, 'trace_an': -325}
-
id: 61133609
{'hecke_orbit_code': 67553994511221561, 'n': 17, 'trace_an': -288}
-
id: 61133610
{'hecke_orbit_code': 67553994511221561, 'n': 18, 'trace_an': -729}
-
id: 61133611
{'hecke_orbit_code': 67553994511221561, 'n': 19, 'trace_an': -988}
-
id: 61133612
{'hecke_orbit_code': 67553994511221561, 'n': 20, 'trace_an': 0}
-
id: 61133613
{'hecke_orbit_code': 67553994511221561, 'n': 21, 'trace_an': 594}
-
id: 61133614
{'hecke_orbit_code': 67553994511221561, 'n': 22, 'trace_an': 1089}
-
id: 61133615
{'hecke_orbit_code': 67553994511221561, 'n': 23, 'trace_an': -5972}
-
id: 61133616
{'hecke_orbit_code': 67553994511221561, 'n': 24, 'trace_an': -1863}
-
id: 61133617
{'hecke_orbit_code': 67553994511221561, 'n': 25, 'trace_an': 0}
-
id: 61133618
{'hecke_orbit_code': 67553994511221561, 'n': 26, 'trace_an': -14579}
-
id: 61133619
{'hecke_orbit_code': 67553994511221561, 'n': 27, 'trace_an': 5832}
-
id: 61133620
{'hecke_orbit_code': 67553994511221561, 'n': 28, 'trace_an': -5942}
-
id: 61133621
{'hecke_orbit_code': 67553994511221561, 'n': 29, 'trace_an': 1032}
-
id: 61133622
{'hecke_orbit_code': 67553994511221561, 'n': 30, 'trace_an': 0}
-
id: 61133623
{'hecke_orbit_code': 67553994511221561, 'n': 31, 'trace_an': -4682}
-
id: 61133624
{'hecke_orbit_code': 67553994511221561, 'n': 32, 'trace_an': -3863}
-
id: 61133625
{'hecke_orbit_code': 67553994511221561, 'n': 33, 'trace_an': -8712}
-
id: 61133626
{'hecke_orbit_code': 67553994511221561, 'n': 34, 'trace_an': 2206}
-
id: 61133627
{'hecke_orbit_code': 67553994511221561, 'n': 35, 'trace_an': 0}
-
id: 61133628
{'hecke_orbit_code': 67553994511221561, 'n': 36, 'trace_an': 8667}
-
id: 61133629
{'hecke_orbit_code': 67553994511221561, 'n': 37, 'trace_an': 17200}
-
id: 61133630
{'hecke_orbit_code': 67553994511221561, 'n': 38, 'trace_an': -11011}
-
id: 61133631
{'hecke_orbit_code': 67553994511221561, 'n': 39, 'trace_an': -3438}
-
id: 61133632
{'hecke_orbit_code': 67553994511221561, 'n': 40, 'trace_an': 0}
-
id: 61133633
{'hecke_orbit_code': 67553994511221561, 'n': 41, 'trace_an': -13220}
-
id: 61133634
{'hecke_orbit_code': 67553994511221561, 'n': 42, 'trace_an': 9432}
-
id: 61133635
{'hecke_orbit_code': 67553994511221561, 'n': 43, 'trace_an': -22872}
-
id: 61133636
{'hecke_orbit_code': 67553994511221561, 'n': 44, 'trace_an': -12947}
-
id: 61133637
{'hecke_orbit_code': 67553994511221561, 'n': 45, 'trace_an': 0}
-
id: 61133638
{'hecke_orbit_code': 67553994511221561, 'n': 46, 'trace_an': 9101}
-
id: 61133639
{'hecke_orbit_code': 67553994511221561, 'n': 47, 'trace_an': -6700}
-
id: 61133640
{'hecke_orbit_code': 67553994511221561, 'n': 48, 'trace_an': -2925}
-
id: 61133641
{'hecke_orbit_code': 67553994511221561, 'n': 49, 'trace_an': -43466}
-
id: 61133642
{'hecke_orbit_code': 67553994511221561, 'n': 50, 'trace_an': 0}
-
id: 61133643
{'hecke_orbit_code': 67553994511221561, 'n': 51, 'trace_an': -2592}
-
id: 61133644
{'hecke_orbit_code': 67553994511221561, 'n': 52, 'trace_an': -5009}
-
id: 61133645
{'hecke_orbit_code': 67553994511221561, 'n': 53, 'trace_an': -6224}
-
id: 61133646
{'hecke_orbit_code': 67553994511221561, 'n': 54, 'trace_an': -6561}
-
id: 61133647
{'hecke_orbit_code': 67553994511221561, 'n': 55, 'trace_an': 0}
-
id: 61133648
{'hecke_orbit_code': 67553994511221561, 'n': 56, 'trace_an': 20992}
-
id: 61133649
{'hecke_orbit_code': 67553994511221561, 'n': 57, 'trace_an': -8892}
-
id: 61133650
{'hecke_orbit_code': 67553994511221561, 'n': 58, 'trace_an': -33015}
-
id: 61133651
{'hecke_orbit_code': 67553994511221561, 'n': 59, 'trace_an': -77556}
-
id: 61133652
{'hecke_orbit_code': 67553994511221561, 'n': 60, 'trace_an': 0}
-
id: 61133653
{'hecke_orbit_code': 67553994511221561, 'n': 61, 'trace_an': 11554}
-
id: 61133654
{'hecke_orbit_code': 67553994511221561, 'n': 62, 'trace_an': -12135}
-
id: 61133655
{'hecke_orbit_code': 67553994511221561, 'n': 63, 'trace_an': 5346}
-
id: 61133656
{'hecke_orbit_code': 67553994511221561, 'n': 64, 'trace_an': -149917}
-
id: 61133657
{'hecke_orbit_code': 67553994511221561, 'n': 65, 'trace_an': 0}
-
id: 61133658
{'hecke_orbit_code': 67553994511221561, 'n': 66, 'trace_an': 9801}
-
id: 61133659
{'hecke_orbit_code': 67553994511221561, 'n': 67, 'trace_an': -20894}
-
id: 61133660
{'hecke_orbit_code': 67553994511221561, 'n': 68, 'trace_an': -91776}
-
id: 61133661
{'hecke_orbit_code': 67553994511221561, 'n': 69, 'trace_an': -53748}
-
id: 61133662
{'hecke_orbit_code': 67553994511221561, 'n': 70, 'trace_an': 0}
-
id: 61133663
{'hecke_orbit_code': 67553994511221561, 'n': 71, 'trace_an': -21648}
-
id: 61133664
{'hecke_orbit_code': 67553994511221561, 'n': 72, 'trace_an': -16767}
-
id: 61133665
{'hecke_orbit_code': 67553994511221561, 'n': 73, 'trace_an': -64660}
-
id: 61133666
{'hecke_orbit_code': 67553994511221561, 'n': 74, 'trace_an': -179522}
-
id: 61133667
{'hecke_orbit_code': 67553994511221561, 'n': 75, 'trace_an': 0}
-
id: 61133668
{'hecke_orbit_code': 67553994511221561, 'n': 76, 'trace_an': 24401}
-
id: 61133669
{'hecke_orbit_code': 67553994511221561, 'n': 77, 'trace_an': -7986}
-
id: 61133670
{'hecke_orbit_code': 67553994511221561, 'n': 78, 'trace_an': -131211}
-
id: 61133671
{'hecke_orbit_code': 67553994511221561, 'n': 79, 'trace_an': -22660}
-
id: 61133672
{'hecke_orbit_code': 67553994511221561, 'n': 80, 'trace_an': 0}
-
id: 61133673
{'hecke_orbit_code': 67553994511221561, 'n': 81, 'trace_an': 52488}
-
id: 61133674
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