{"d": 1, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[1.8378770664093454835606594728112352797227949472755668256343030809655313918545207953894865972719083952440112932492686748927337257636815871443117518304453627872071214850947173380927918119827616112603264697461892547492510365033899089548201917187 +/- 7.09e-242]"}
{"d": 2, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[1.499780820605574600208169056891178925389470234308186980150196153197485095260414743213793499300971708698759887000404123670799286706864388068885850279740440113495941561254654 +/- 3.20e-172]"}
{"d": 3, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.9216609534035716323572688056613764911969342031577038786159657272057695915690797535261996568529187615887418599347966218593193027085634630031099400984600337969094733951509989 +/- 4.70e-173]"}
{"d": 4, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.66092009229747859869056387050788943522759783506635962479992580780796149362606239794363085235948643272999218753288651147744960486493775039824463862443662477705732717238306 +/- 6.34e-171]"}
{"d": 5, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.448269620105933382174961641291329810432056503477990950460117528756459462636803161469746657687369684809283288248655836883520435202311007831726329690611532812632294989848365 +/- 8.83e-172]"}
{"d": 6, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.28561914580535388174967859283192351686390409556426951285910071203077141333919279321309754739297746089248118037715032635053946183670597868202317195112843265854629629522664 +/- 8.27e-171]"}
{"d": 7, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.15598448655301391229854507349449404934142232241262781585902651397702897801231829014517629194591157737551069399036323124489331569771189811888252779808320508100702148743388 +/- 7.66e-171]"}
{"d": 8, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[0.037319189941731414750492118562704374700018045217511604751986686531327927718186530705172589511391223512157881389293851974832312947348057320293665020508949810964443974602210 +/- 6.83e-172]"}
{"d": 9, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.0560560827001866250860819021071355462622912109994563260680583739581162819171202961569428384153801659845158003383105447762060103197521407404623160290120239126952697362581 +/- 1.97e-170]"}
{"d": 10, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.149640914319034114130202891594616668512969011949923773579333226734739613409239868301123927189325538958787939896831105503915822703021921870339583912385006487783591574013703 +/- 5.43e-172]"}
{"d": 11, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.222743406995815622322124834069145937450001855654999206173616297177242361264088606065729410099362396799465173482503064554151909941125767103295748827640842631056977898005442 +/- 9.56e-172]"}
{"d": 12, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.30008541794434226873174325584786826735658838516143619141386523595311470370758042303793467180161333786007211553754330784764554748379277491157566278842218100645267388576305 +/- 3.59e-171]"}
{"d": 13, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.36023897894168375918792473972969911007250966405095426255298468895536296459294618833665377973873355104413646856961682894202581523079808317259726620523171613674649326180731 +/- 2.06e-171]"}
{"d": 14, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.42619006319459202962707432773515288885169879241336002260099224564179698068418835591885725924239578196116641946166189301480697511340020131196160617799697536629205788337357 +/- 3.98e-171]"}
{"d": 15, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.477351548259711420307157299473049184796213969448780206561597208072500063221378578697458405336831703288047854364173511327708879279958741505143502589937461531854605806419547 +/- 7.18e-172]"}
{"d": 16, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.5348652324493070630152609146147400540200132446269819122195748870237953935370856526397759987654670108724932050901541106815162077698090764322919907431761076116538251607148 +/- 1.55e-170]"}
{"d": 17, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.57941355283669948330046139158035636639288776872830882992001416196278127350380056033845565297476080661637774987144585354499190192075305082522841822158815902509281776944031 +/- 6.06e-171]"}
{"d": 18, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.63042272510893097590723615587607254011616907359932012782241808719025259292676722373539574680779064465695469413999648218216432314630072138860863720467433482265640418686869 +/- 2.98e-171]"}
{"d": 19, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.669899697753379549165062879063888896495266935329777066217604573912601883735791310192534940011514043485979922785321106244227293967121313115491967782170974296756616447937654 +/- 6.63e-172]"}
{"d": 20, "sphere_relation": true, "source_rounding": true, "neumann_logdet": "[-0.71573909599586431943747647027133731312499920683490769900569383729050557940756982781365535121633971005061291559968532763925061799553655668566392007252942170359335501707557 +/- 6.44e-171]"}
{"dowker_p7": {"spectral_derivative_difference": "[-0.6376951068409565490106071990273847174525726263101483132123646032213257773634596299131868736685988235347527593551991004907469035892654639396973036128826827579616532478789236 +/- 5.45e-173]", "corrected_constant": "-1", "printed_constant": "+1/2", "printed_minus_spectral": "3/2", "reconciled": true}}
{"status": "PASS", "sphere_dimensions": 20, "rounded_source_values": 20}