{'Lhash': '2106109246892296873179313601204', 'a10': 0, 'a2': 0, 'a3': 27, 'a4': 0, 'a5': 110, 'a6': 0, 'a7': 504, 'a8': 0, 'a9': 729, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.497240611618926, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -27]]], 'bad_primes': [2, 3], 'central_character': '24.1', 'coefficient_field': '1.1.1.1', 'conductor': 24, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[1], [1, -27], [1, -110, 78125], [1, -504, 823543], [1, -3812, 19487171], [1, -9574, 62748517], [1, -26098, 410338673], [1, 38308, 893871739], [1, 71128, 3404825447], [1, -74262, 17249876309], [1, 275680, 27512614111], [1, 266610, 94931877133], [1, -684762, 194754273881], [1, -245956, 271818611107], [1, -478800, 506623120463], [1, 569410, 1174711139837], [1, 1525324, 2488651484819], [1, 2640458, 3142742836021], [1, -1416236, 6060711605323], [1, 3511304, 9095120158391], [1, -4738618, 11047398519097], [1, -4661488, 19203908986159], [1, 5729252, 27136050989627], [1, -11993514, 44231334895529], [1, -7150754, 80798284478113], [1, 8783730, 107213535210701], [1, 8016104, 122987386542487], [1, 5151228, 160578147647843], [1, 24127994, 182803912081669], [1, -2048274, 235260548044817]], 'euler_factors_factorization': [[1], [[[1, -27], 1]], [[[1, -110, 78125], 1]], [[[1, -504, 823543], 1]], [[[1, -3812, 19487171], 1]], [[[1, -9574, 62748517], 1]], [[[1, -26098, 410338673], 1]], [[[1, 38308, 893871739], 1]], [[[1, 71128, 3404825447], 1]], [[[1, -74262, 17249876309], 1]], [[[1, 275680, 27512614111], 1]], [[[1, 266610, 94931877133], 1]], [[[1, -684762, 194754273881], 1]], [[[1, -245956, 271818611107], 1]], [[[1, -478800, 506623120463], 1]], [[[1, 569410, 1174711139837], 1]], [[[1, 1525324, 2488651484819], 1]], [[[1, 2640458, 3142742836021], 1]], [[[1, -1416236, 6060711605323], 1]], [[[1, 3511304, 9095120158391], 1]], [[[1, -4738618, 11047398519097], 1]], [[[1, -4661488, 19203908986159], 1]], [[[1, 5729252, 27136050989627], 1]], [[[1, -11993514, 44231334895529], 1]], [[[1, -7150754, 80798284478113], 1]], [[[1, 8783730, 107213535210701], 1]], [[[1, 8016104, 122987386542487], 1]], [[[1, 5151228, 160578147647843], 1]], [[[1, 24127994, 182803912081669], 1]], [[[1, -2048274, 235260548044817], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 10135041, 'index': 1, 'label': '2-24-1.1-c7-0-1', 'load_key': 'CMFs-workshop', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/24/8/a/c', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.17578125', 'prec': 34}, 'plot_values': [2.278016065577926, 2.2472170653981896, 2.155494416718861, 2.0048923524886875, 1.7988847476896697, 1.5424623468927998, 1.242229591566979, 0.906487443365016, 0.545274317418911, 0.17033487723622126, -0.20501352620129457, -0.5661441140009066, -0.8975348885801677, -1.183345509079765, -1.4081555825478569, -1.5578470580927124, -1.6205949998451994, -1.5879114664654281, -1.4556682302365571, -1.2250077466087954, -0.903040559967925, -0.5032237291626191, -0.045321221988533174, 0.4451346181708871, 0.9379305688449984, 1.3998158028910752, 1.796654093686921, 2.095977662726916, 2.2697735551150484, 2.297277093650026, 2.167503957060386, 1.881230764899796, 1.4521409021345961, 0.9068928557822595, 0.2839445791578121, -0.3689228030979916, -0.9983022545455627, -1.5498483076927785, -1.9735746143760842, -2.229253028641392, -2.2913187196869744, -2.1526590164048955, -1.8267111580434987, -1.3474223644239527, -0.766831098213829, -0.1502960477183021, 0.4302972784293511, 0.9047195788397105, 1.2130775606605184, 1.3139235483577187, 1.1906774546451824, 0.8553423030309848, 0.3487495132055237, -0.26303355457689437, -0.8960026248370458, -1.4585502441254081, -1.8636554348182128, -2.041358745225572, -1.9497506026286802, -1.5827447237653636, -0.9732212367162385, -0.19068957849224671, 0.6666206002642014, 1.4844804568688172, 2.1486165218905984, 2.561673140998738, 2.658606542837045, 2.4179709656598822, 1.8670163645107147, 1.07936517972152, 0.16516755468617642, -0.7451162093571572, -1.5209958912984376, -2.0531233217109577, -2.271805687511681, -2.1595247508229423, -1.7549521979298155, -1.1472932119223114, -0.461448914541899, 0.1638148922022238, 0.6010829643626528, 0.7584229401512401, 0.5978858209374005, 0.14459903314410916, -0.5157731775732173, -1.2513374088808433, -1.9079177447914837, -2.338504969366548, -2.4327396680824336, -2.140621332090337, -1.48543327301943, -0.5627317906963542, 0.47513232910602227, 1.4465927804594878, 2.1755795128414634, 2.5266552263290456, 2.433411995250139, 1.913975251463164, 1.0698277731209889, 0.06747168972148314, -0.8939550041350154, -1.6228564911047703, -1.9749399249725783, -1.884060999637085, -1.377209983901061, -0.5698542037856809, 0.3579888069412753, 1.200290795651997, 1.77006021077471, 1.941009062292784, 1.676331421005608, 1.0376624461637962, 0.17158261064537128, -0.7238614291933064, -1.4453840092950268, -1.8329215032112416, -1.8088758451668971, -1.3984403163923003, -0.72546689358877, 0.01597694418097983, 0.6082985103415747, 0.8645437634476315, 0.6769741909654979, 0.047820291292181086, -0.9061352795170214, -1.9773495758942683, -2.914917698354085, -3.484713296600226, -3.5277675292695636, -3.002239266302825, -1.9978848559642917, -0.7184570803023607, 0.5645832517361015, 1.5762535747082311, 2.1044222585972094, 2.051602068806976, 1.4586502242339028, 0.49374498360025115, -0.5911380675723887, -1.5254662418244251, -2.090340100649569, -2.1751590300211223, -1.8054724048873507, -1.1341283075319482, -0.39759680912463663, 0.15110427817752692, 0.3147444650679719, 0.009427635356238894, -0.7091061569175501, -1.6585822957600516, -2.579994937661048, -3.2109463880975078, -3.3622578875685885, -2.9759940915570615, -2.147621328130253, -1.1046999258991081, -0.1467186386641901, 0.43799457934007563, 0.4552032443726454, -0.1362928230037018, -1.2074097612188746, -2.489482770542117, -3.6455141223108685, -4.362606174045803, -4.439530149412392, -3.844101152433052, -2.723194696129571, -1.3616808115871255, -0.10145245305665952, 0.7563009641905178, 1.0370382013323751, 0.7415004463558652, 0.0422419255177663, -0.7713032625515944, -1.3830034442810601, -1.5482747346241335, -1.170319090232931, -0.3305907025973991, 0.7364810294432464, 1.7172860315208982, 2.318787894778077, 2.3630674938737712, 1.8464873496286098, 0.9438814492823949, -0.044754078887032825, -0.7892623635692873, -1.0364285821409684, -0.6949048407768333, 0.13013269943629038, 1.1652692207563835, 2.0527920839982317, 2.464793754335316, 2.2114362978037954, 1.3082120532293153, -0.020710326472464447, -1.4059292643358443, -2.444392661910668, -2.8244300646972675, -2.424384832774772, -1.3526964146459168, 0.08434853270959268, 1.4777124232804562, 2.4434555947911116, 2.742157611970521, 2.3510531626144395, 1.4652606049373091, 0.4278011890570476, -0.38815141804121406, -0.7051751418308415, -0.4330430593220476, 0.30546010514296845, 1.2232546386827499, 1.9754694890052955, 2.2867081835946306, 2.0542725744495085, 1.3902338861255739, 0.586083230415701, 0.010717850023933453, -0.023588550705985756, 0.6197065667647741, 1.840221236689421, 3.321128187271614, 4.626902828284015, 5.346538428238985, 5.233491773028352, 4.293422269949929, 2.7878421239183497, 1.1505201572234567, -0.15600220190518327, -0.7948929918979991, -0.666924684339292, 0.0596229655224412, 1.0120584872020015, 1.7476175038032096, 1.9118057893906892, 1.3645731200305726, 0.22925353521057537, -1.1533258438185436, -2.3490343271189356, -2.9879013250858915, -2.897456149750111, -2.1630583752916324, -1.0929131907654985, -0.10057926789924229, 0.4514490610160548, 0.38857606407354184, -0.21040319543141883, -1.0446325140006625, -1.7085302829102182, -1.8514791280396818, -1.3193067178109137, -0.22274351726009406, 1.0952339955560062, 2.183243905448888, 2.651467526534147, 2.323903398135305, 1.3141661341743494], 'positive_zeros': ['1.66142724699780075595490606581359', '3.88377140984588093885913230902328', '6.05317916615898200552832841952672', '7.953790694673518715589943890035219', '9.243042176868312796418724021021777', '10.76228868234596434615313168620756', '12.33578416001402223357669799575266', '13.83671489129554663852074268933058', '14.63221200023629279949614909927613', '16.09190602319062579992194893958518'], 'prelabel': '2-24-1.1-c7-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.7381089480915337, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c7-0', 'trace_hash': 1972008689088727421, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.66142724699780075595490606581', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.88377140984588093885913230902', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.05317916615898200552832841953', 'prec': 103}}