data: - - Lhash: '821716744760819893597494645088' a10: - 0 - 0 a2: - 0 - 0 a3: - 0 - 3.0 a4: - 2.0 - 0 a5: - 0 - 0 a6: - 0 - 0 a7: - 0 - -1.0 a8: - 0 - 0 a9: - -6.0 - 0 accuracy: 100 algebraic: true analytic_conductor: 15.371202389096482 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 5 - - - 1.0 - 0 - - 0 - 0 - - 7 - - - 1.0 - 0 - - 0 - 1.0 - - 11 - - - 1.0 - 0 - - 1.0 - 0 bad_primes: - 5 - 7 - 11 central_character: '1925.1849' coefficient_field: CDF conductor: 1925 conductor_radical: 385 conjugate: '2159467835647485339696737909498' degree: 2 euler_factors: - - - 1.0 - 0 - - 0 - 0 - - -2.0 - 0 - - - 1.0 - 0 - - 0 - -3.0 - - -3.0 - 0 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 0 - 1.0 - - - 1.0 - 0 - - 1.0 - 0 - - - 1.0 - 0 - - 0 - -4.0 - - -13.0 - 0 - - - 1.0 - 0 - - 0 - -2.0 - - -17.0 - 0 - - - 1.0 - 0 - - -6.0 - 0 - - 19.0 - 0 - - - 1.0 - 0 - - 0 - -5.0 - - -23.0 - 0 - - - 1.0 - 0 - - 10.0 - 0 - - 29.0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - 0 - 5.0 - - -37.0 - 0 - - - 1.0 - 0 - - 2.0 - 0 - - 41.0 - 0 - - - 1.0 - 0 - - 0 - -8.0 - - -43.0 - 0 - - - 1.0 - 0 - - 0 - -8.0 - - -47.0 - 0 - - - 1.0 - 0 - - 0 - -6.0 - - -53.0 - 0 - - - 1.0 - 0 - - 3.0 - 0 - - 59.0 - 0 - - - 1.0 - 0 - - 2.0 - 0 - - 61.0 - 0 - - - 1.0 - 0 - - 0 - 3.0 - - -67.0 - 0 - - - 1.0 - 0 - - -1.0 - 0 - - 71.0 - 0 - - - 1.0 - 0 - - 0 - 10.0 - - -73.0 - 0 - - - 1.0 - 0 - - 6.0 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 0 - 12.0 - - -83.0 - 0 - - - 1.0 - 0 - - -15.0 - 0 - - 89.0 - 0 - - - 1.0 - 0 - - 0 - 5.0 - - -97.0 - 0 - - - 1.0 - 0 - - 12.0 - 0 - - 101.0 - 0 - - - 1.0 - 0 - - 0 - -12.0 - - -103.0 - 0 - - - 1.0 - 0 - - 0 - 10.0 - - -107.0 - 0 - - - 1.0 - 0 - - 4.0 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 0 - -19.0 - - -113.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 23384154 index: 20 label: 2-1925-5.4-c1-0-20 leading_term: '1.9064199559487384622508409679414436025779406784152505869' load_key: CMFs-workshop motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/1925/2/b/e/1849/2 plot_delta: __RealLiteral__: 0 data: '0.05078125' prec: 34 plot_values: - 1.9064199559487385 - 1.7580778097991676 - 1.6092101111840853 - 1.4598022800115078 - 1.3098211871948024 - 1.1592577513584317 - 1.0081668306000102 - 0.8567025023202027 - 0.7051472137745376 - 0.5539337277874035 - 0.40365922614697736 - 0.2550913256249144 - 0.10916608460111707 - -0.03302167441871758 - -0.17023522267000468 - -0.3011193355318411 - -0.42422954064213375 - -0.538066423126829 - -0.6411141502570903 - -0.7318823212571973 - -0.8089501879415032 - -0.8710122280248689 - -0.916923987753303 - -0.9457470482610227 - -0.9567919162225649 - -0.949657599870771 - -0.9242666122232729 - -0.8808941499412147 - -0.8201902334900174 - -0.7431936661264924 - -0.6513367785508369 - -0.5464400744518797 - -0.43069607990755937 - -0.3066419255176061 - -0.17712045159686302 - -0.04522991960048816 - 0.08573726843847235 - 0.21236610334481826 - 0.33119966828790703 - 0.43882756891739283 - 0.5319803197444137 - 0.6076275940848245 - 0.6630779588633949 - 0.6960774734216966 - 0.7049043444656281 - 0.6884567080134956 - 0.6463305631316951 - 0.5788849193211103 - 0.48729134567680804 - 0.37356532913800944 - 0.240577162420418 - 0.09204048785329355 - -0.06752288346077588 - -0.23284268494630084 - -0.39798460683918774 - -0.5564588784884934 - -0.7013517590947504 - -0.8254779252254648 - -0.9215509976829971 - -0.9823687321964294 - -1.001008732243531 - -0.9710299525574302 - -0.8866747724164147 - -0.7430660511035206 - -0.53639335411667 - -0.2640824748392619 - 0.07505751446092947 - 0.4807151578216466 - 0.9509904572722695 - 1.4823460041629462 - 2.069598912923935 - 2.7059560814846533 - 3.383094177009463 - 4.091284510100215 - 4.81956164763937 - 5.555933261116844 - 6.2876273544123285 - 7.001371705959299 - 7.683699139602571 - 8.32127115067328 - 8.901211501491826 - 9.411440702991891 - 9.841001850866988 - 10.180368113619846 - 10.421722296441253 - 10.559199340335141 - 10.589083361868882 - 10.509951886409787 - 10.322761256983444 - 10.030868781532247 - 9.63998897270789 - 9.158083186382727 - 8.59518401969013 - 7.963157922007285 - 7.275411533762551 - 6.546549226892506 - 5.791991105968443 - 5.027562271983137 - 4.269065388427561 - 3.5318494664158635 - 2.830388257395836 - 2.1778816760602906 - 1.5858932543872875 - 1.064035747858622 - 0.6197156908861693 - 0.2579459610935394 - -0.01876669150269791 - -0.21045460169778882 - -0.319640718829665 - -0.35120956989845664 - -0.31220133521948545 - -0.21153547591066693 - -0.05967295112028039 - 0.13177160132861734 - 0.3504543694277618 - 0.5837486704964363 - 0.8191971474083117 - 1.0449534997324537 - 1.250197543521605 - 1.425508160267427 - 1.5631800663484279 - 1.6574722739220853 - 1.704778563928622 - 1.703713170821285 - 1.655108086183539 - 1.5619218073863665 - 1.4290628582788256 - 1.2631348542932632 - 1.07211313455347 - 0.8649659020307796 - 0.6512352717897777 - 0.44059551362333443 - 0.24240699525726397 - 0.06528481641913068 - -0.0832991689338468 - -0.1973633255751571 - -0.2726964349005202 - -0.30705790503093466 - -0.3002879628173665 - -0.2543214892362078 - -0.1731032199390008 - -0.06240630014170374 - 0.07043951804450883 - 0.2168996003570825 - 0.36765182873444835 - 0.5130521210895147 - 0.6436278849076219 - 0.750577385779058 - 0.8262520906284982 - 0.8645991041610223 - 0.8615418860244124 - 0.8152795026646551 - 0.726487675213624 - 0.5984087333294652 - 0.4368221347443324 - 0.2498922857194568 - 0.04789579372341369 - -0.15716422589141812 - -0.35204382118861577 - -0.522825923576989 - -0.6555478429834944 - -0.736862751540765 - -0.7547068707568876 - -0.6989427399209488 - -0.5619488672606321 - -0.33912729772863187 - -0.029303163607106036 - 0.3650059501614981 - 0.837468118429452 - 1.3779741502175558 - 1.972838592520493 - 2.6051626698833514 - 3.2553500527489767 - 3.901759391055576 - 4.521471062174484 - 5.0911398657608276 - 5.587900729715854 - 5.990291110753775 - 6.279151869787705 - 6.4384681063232305 - 6.456112809376317 - 6.324459214528666 - 6.040832362507868 - 5.607776376061558 - 5.033121182743558 - 4.329840525516652 - 3.5157017860699056 - 2.6127170277868252 - 1.646413357596819 - 0.6449488177507618 - -0.36189282504373466 - -1.343789166239508 - -2.271004628003063 - -3.1155083483976287 - -3.8520380519485773 - -4.459064998342333 - -4.919618649452248 - -5.221935123316036 - -5.359900609894162 - -5.333269418883793 - -5.147645856151591 - -4.814229269259086 - -4.3493319140483395 - -3.773689306681652 - -3.111591977115652 - -2.3898755956371245 - -1.6368129164183318 - -0.8809555506910075 - -0.14997601025995488 - 0.5304393906877687 - 1.1375983564867835 - 1.6526671463111766 - 2.061354292199304 - 2.3543842190416546 - 2.5277411505650806 - 2.5826743156088305 - 2.52546656977443 - 2.3669795933859046 - 2.12199928772453 - 1.808414359158956 - 1.4462688931424446 - 1.056735585232227 - 0.6610599129715042 - 0.27952670622975967 - -0.06950077175185244 - -0.37042293705526697 - -0.6110870127268145 - -0.7832791212480024 - -0.8830030399221301 - -0.9105342065193183 - -0.8702490511224689 - -0.7702412396076709 - -0.6217473582369646 - -0.43841438301728475 - -0.23544944851515356 - -0.028698523744376578 - 0.1662957154723338 - 0.335205469923864 - 0.46574915221512997 - 0.5483970543759924 - 0.5769126538525345 - 0.5486996991105083 - 0.4649357148737465 - 0.3304841890353617 - 0.15358984112583102 - -0.054626617619299635 - -0.2808465862756034 - -0.5103670442568867 - -0.7280039858671873 - -0.9190348993866484 - -1.0701265804167248 - -1.1701946971661805 - -1.211144609379475 - -1.1884488614179227 - -1.1015252467500247 - -0.9538899553161369 - -0.753072522733535 positive_zeros: - '0.64822021510728349110196068580988' - '1.79477473021876510147740357461007' - '2.61945981667518846661467950285925' - '3.34114096980740599410579866378875' - '5.37879743690031259035376113222303' - '5.70433360912774462932238304514745' - '6.77490627278760374960936890098796' - '7.18487615123925684279967921164993' - '7.933687419223263835644763005687366' - '8.433864075910853271145598083124903' prelabel: 2-1925-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 3.920612501777813 root_angle: -0.8524163823495667 root_number: -0.89442719099991587856366946749251049417624734384461028971 - 0.4472135954999579392818347337462552470881236719223051449*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.42620819117478337' prec: 67 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.64822021510728349110196068581' prec: 103 z2: __RealLiteral__: 0 data: '1.79477473021876510147740357461' prec: 103 z3: __RealLiteral__: 0 data: '2.61945981667518846661467950286' prec: 103 - - algebraic: true analytic_conductor: 15.371202389096482 bad_primes: - 5 - 7 - 11 central_character: '5.4' conductor: 1925 conductor_radical: 385 degree: 2 id: 23384154 index: 20 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/1925/2/b/e/1849/2 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: true is_instance_DIR: false is_instance_ECNF: false is_instance_ECQ: false is_instance_G2Q: false is_instance_HMF: false is_instance_MaassGL3: false is_instance_MaassGL4: false is_instance_MaassGSp4: false is_instance_NF: false label: 2-1925-5.4-c1-0-20 motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 prelabel: 2-1925-5.4-c1-0 primitive: true rational: false root_analytic_conductor: 3.920612501777813 root_angle: -0.42620819117478337 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.64822021510728349110196068581' prec: 103 - - Lhash: '821716744760819893597494645088' Lhash_array: - '821716744760819893597494645088' id: 23754149 label: 2-1925-5.4-c1-0-20 type: CMF url: ModularForm/GL2/Q/holomorphic/1925/2/b/e/1849/2 label_cols: - label - label - label labels: - 2-1925-5.4-c1-0-20 - 2-1925-5.4-c1-0-20 - 2-1925-5.4-c1-0-20 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-07T06:09:52.327654'