wball/Circle-Packings
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

something weird is happening

Browse source
This commit is contained in:
William Ball 2021-08-06 13:35:42 -04:00
parent 7260ab7a55
commit f0c5986526
5 changed files with 1161 additions and 383 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

29
fractal_dimension/circle_counting_new/data/cube.txt
View file

@ -1,4 +1,27 @@
{{{0., 1., 0., 0., 1., -1., 0., 0.}, {0., 1., 0., 0., 0., 0., 0., 0.}, {0., 3., 0., 0., 2., 1., -1., 0.}, {0., 3., 0., 0., 3., 0., -1., 0.}, {0., 0., 0., 0., 1., 0., 0., 0.}, {0., 0., 0., 0., 0., 1., 0., 0.}, {0., 2., 0., 0., 2., 2., -1., 0.}, {0., 2., 0., 0., 3., 1., -1., 0.}}, {{1., 0., 0., 0., 0., 0., 0., 0.}, {1., 0., 1., -1., 0., 0., 0., 0.}, {0., 0., 1., 0., 0., 0., 0., 0.}, {0., 0., 0., 1., 0., 0., 0., 0.}, {3., 0., 3., 0., 0., 0., -1., 0.}, {3., 0., 4., -1., 0., 0., -1., 0.}, {2., 0., 4., 0., 0., 0., -1., 0.}, {2., 0., 3., 1., 0., 0., -1., 0.}}, {{1., 0., 0., 0., 0., 0., 0., 0.}, {1., 0., -1., 3., 2., 0., 0., 0.}, {0., 0., -1., 4., 2., 0., 0., 0.}, {0., 0., 0., 1., 0., 0., 0., 0.}, {0., 0., 0., 0., 1., 0., 0., 0.}, {0., 0., -1., 3., 3., 0., 0., 0.}, {-1., 0., -1., 4., 3., 0., 0., 0.}, {-1., 0., 0., 1., 1., 0., 0., 0.}}, {{0., 1., 3., -1., 0., 2., 0., 0.}, {0., 1., 0., 0., 0., 0., 0., 0.}, {0., 0., 1., 0., 0., 0., 0., 0.}, {0., 0., 4., -1., 0., 2., 0., 0.}, {0., 0., 3., -1., 0., 3., 0., 0.}, {0., 0., 0., 0., 0., 1., 0., 0.}, {0., -1., 1., 0., 0., 1., 0., 0.}, {0., -1., 4., -1., 0., 3., 0., 0.}}, {{-1., 0., 4., 0., 0., 0., -2., 4.}, {-1., 0., 4., 0., 0., 0., -1., 3.}, {0., 0., 1., 0., 0., 0., 0., 0.}, {0., 0., 1., 0., 0., 0., -1., 1.}, {-1., 0., 3., 0., 0., 0., -1., 4.}, {-1., 0., 3., 0., 0., 0., 0., 3.}, {0., 0., 0., 0., 0., 0., 1., 0.}, {0., 0., 0., 0., 0., 0., 0., 1.}}, {{0., -1., 0., 0., 4., 0., 3., -1.}, {0., -1., 0., 0., 4., 0., 4., -2.}, {0., -1., 0., 0., 3., 0., 4., -1.}, {0., -1., 0., 0., 3., 0., 3., 0.}, {0., 0., 0., 0., 1., 0., 0., 0.}, {0., 0., 0., 0., 1., 0., 1., -1.}, {0., 0., 0., 0., 0., 0., 1., 0.}, {0., 0., 0., 0., 0., {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0,
0., 0., 1.}}} 3, -1, 0}, {3, 0, 0, 0, 0, 3, -1, 0}, {1, -1, 0, 0, 0, 1, 0,
{{22., 80., -28.2843, 31.}, {12., 48., -16.9706, 17.}, {4., 20., -5.65685, 7.}, {14., 52., -16.9706, 21.}, {16., 52., -19.799, 21.}, {6., 20., -8.48528, 7.}, {-2., -8., 2.82843, -3.}, {8., 24., -8.48528, 11.}} 0}, {0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 4, -1, 0}, {3, -1, 0,
0, 0, 4, -1, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0,
0}, {0, 0, 1, 0, 0, 0, 0, 0}, {1, -1, 1, 0, 0, 0, 0, 0}, {3, 1, 2,
0, 0, -1, 0, 0}, {2, 2, 2, 0, 0, -1, 0, 0}, {2, 1, 3, 0, 0, -1, 0,
0}, {3, 0, 3, 0, 0, -1, 0, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0}, {3, 0,
0, 0, 0, 0, -1, 3}, {2, 0, 0, 1, 0, 0, -1, 3}, {0, 0, 0, 1, 0, 0,
0, 0}, {1, 0, 0, -1, 0, 0, 0, 1}, {3, 0, 0, -1, 0, 0, -1, 4}, {2,
0, 0, 0, 0, 0, -1, 4}, {0, 0, 0, 0, 0, 0, 0, 1}}, {{-1, 4, 0, 0, 0,
0, 2, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, -1, 1,
0}, {-1, 4, 0, 0, 0, -1, 3, 0}, {-1, 3, 0, 0, 0, 1, 2, 0}, {0, 0,
0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {-1, 3, 0, 0, 0, 0, 3,
0}}, {{0, 0, 0, 3, 0, -1, 3, 0}, {0, 0, 0, 3, 0, -1, 4, -1}, {0,
0, 0, 1, 0, 0, 1, -1}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2,
0, -1, 3, 1}, {0, 0, 0, 2, 0, -1, 4, 0}, {0, 0, 0, 0, 0, 0, 1,
0}, {0, 0, 0, 0, 0, 0, 0, 1}}, {{0, 0, 0, -1, 0, 3, -1, 4}, {0, 0,
0, -1, 0, 3, 0, 3}, {0, 0, 0, -1, 0, 2, 1, 3}, {0, 0, 0, -1, 0, 2,
0, 4}, {0, 0, 0, 0, 0, 1, -1, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0,
0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}}}
{{22., 80., -28.2843, 31.}, {12., 48., -16.9706, 17.}, {4.,
20., -5.65685, 7.}, {14., 52., -16.9706, 21.}, {16., 52., -19.799,
21.}, {6., 20., -8.48528, 7.}, {-2., -8., 2.82843, -3.}, {8.,
24., -8.48528, 11.}}
{{0, 1, 5, 4}, {0, 3, 2, 1}, {0, 4, 7, 3}, {1, 2, 6, 5}, {2, 3, 7, 6}, {4, 5, 6, 7}} {{0, 1, 5, 4}, {0, 3, 2, 1}, {0, 4, 7, 3}, {1, 2, 6, 5}, {2, 3, 7, 6}, {4, 5, 6, 7}}

463
fractal_dimension/circle_counting_new/data/square_triangle.txt Normal file
View file

@ -0,0 +1,463 @@
{{{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{27.84321299996219`, 0, 31.88338943954033`, 0, 0, 0, 0, 0, 0, 0,
-1.531218499159464`, 0, 0, 17.325914997311667`, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {21.569673643722354`, 0,
20.684712343427034`, 0, 0, 0, 0, 0, 0, 0, -1.0564841780202636`, 0, 0,
11.633933906025307`, 0, 0, 0, 0, 0, 0}, {19.011640832779868`, 0,
23.24274515436953`, 0, 0, 0, 0, 0, 0, 0, -1.056484178020264`, 0, 0,
11.633933906025309`, 0, 0, 0, 0, 0, 0}, {32.39720885582033`, 0,
35.10007907874474`, 0, 0, 0, 0, 0, 0, 0, -1.7067648379579303`, 0, 0,
18.792490990275233`, 0, 0, 0, 0, 0, 0}, {10.228758817595509`, 0,
12.001489761794705`, 0, 0, 0, 0, 0, 0, 0, -0.4879516573068181`, 0, 0,
4.50269289383863`, 0, 0, 0, 0, 0, 0}, {20.8328318764798`, 0,
20.832831876479798`, 0, 0, 0, 0, 0, 0, 0, -1.0000000000000018`, 0, 0,
10.257954272158448`, 0, 0, 0, 0, 0, 0}, {4.8478183350881805`, 0,
5.3147492806726975`, 0, 0, 0, 0, 0, 0, 0, -0.2948500127452822`, 0, 0,
4.532285845403717`, 0, 0, 0, 0, 0, 0}, {12.507233678342702`, 0,
11.941014449883793`, 0, 0, 0, 0, 0, 0, 0, -0.6624598973169626`, 0, 0,
8.551535932498052`, 0, 0, 0, 0, 0, 0}, {19.249209948717123`, 0,
22.41645380424239`, 0, 0, 0, 0, 0, 0, 0, -1.`, 0, 0, 10.257954272158425`, 0, 0,
0, 0, 0, 0}, {27.76289238768915`, 0, 30.002687706400515`, 0, 0, 0, 0, 0, 0, 0,
-1.4143497759441805`, 0, 0, 14.816459158779407`, 0, 0, 0, 0, 0, 0},
{22.43659319226101`, 0, 25.441098795619`, 0, 0, 0, 0, 0, 0, 0,
-1.2657728263399282`, 0, 0, 15.163884160451763`, 0, 0, 0, 0, 0, 0}, {0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {11.139459285701612`, 0,
9.40797014891485`, 0, 0, 0, 0, 0, 0, 0, -0.5219324509628938`, 0, 0,
6.235012418508953`, 0, 0, 0, 0, 0, 0}, {11.228758817595516`, 0,
11.001489761794712`, 0, 0, 0, 0, 0, 0, 0, -0.48795165730681855`, 0, 0,
4.502692893838636`, 0, 0, 0, 0, 0, 0}, {10.891928430229264`, 0,
13.55631969799721`, 0, 0, 0, 0, 0, 0, 0, -0.662459897316962`, 0, 0,
8.551535932498046`, 0, 0, 0, 0, 0, 0}, {23.43659319226103`, 0,
24.441098795619016`, 0, 0, 0, 0, 0, 0, 0, -1.265772826339929`, 0, 0,
15.163884160451772`, 0, 0, 0, 0, 0, 0}, {8.5814264747591`, 0,
11.966002959857322`, 0, 0, 0, 0, 0, 0, 0, -0.5219324509628929`, 0, 0,
6.2350124185089415`, 0, 0, 0, 0, 0, 0}, {29.45851824807557`, 0,
30.268084191426848`, 0, 0, 0, 0, 0, 0, 0, -1.5312184991594613`, 0, 0,
17.325914997311635`, 0, 0, 0, 0, 0, 0}}, {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0}, {-6.41084714051588`, 0, 0, 0, 0, -0.9879081352400851`,
0, 0, 0, 0, 0, 0, 0, 6.022260513615532`, 8.57167649313303`, 0, 0, 0, 0, 0},
{-0.36744640326333267`, 0, 0, 0, 0, -0.23067026344514785`, 0, 0, 0, 0, 0, 0, 0,
1.631724352896307`, 1.3164203323969925`, 0, 0, 0, 0, 0}, {-1.5816667146215124`,
0, 0, 0, 0, -0.37860054835592694`, 0, 0, 0, 0, 0, 0, 0, 1.6913184206970722`,
4.18482692502994`, 0, 0, 0, 0, 0}, {-5.079639481374411`, 0, 0, 0, 0,
-0.9686626507573632`, 0, 0, 0, 0, 0, 0, 0, 5.865322853819724`,
7.552273328293264`, 0, 0, 0, 0, 0}, {-5.622749766164467`, 0, 0, 0, 0, -1.`, 0,
0, 0, 0, 0, 0, 0, 5.477293375065052`, 8.977023178220632`, 0, 0, 0, 0, 0},
{-1.3635028990066842`, 0, 0, 0, 0, -0.7395363348413189`, 0, 0, 0, 0, 0, 0, 0,
3.9049766341132464`, 5.155380487006192`, 0, 0, 0, 0, 0}, {-1.541521047981976`,
0, 0, 0, 0, -0.6476224525819214`, 0, 0, 0, 0, 0, 0, 0, 2.8931172669065477`,
5.611896358654166`, 0, 0, 0, 0, 0}, {-1.445083564966656`, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1.010003435730248`, 0.564919870763587`, 0, 0, 0, 0, 0},
{-1.6314638503476666`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6377806583905968`,
1.2692445087382707`, 0, 0, 0, 0, 0}, {-3.707039157229932`, 0, 0, 0, 0,
-1.0129169398564404`, 0, 0, 0, 0, 0, 0, 0, 5.47715173221743`,
7.696608463190608`, 0, 0, 0, 0, 0}, {-4.07987273888282`, 0, 0, 0, 0,
-1.04001374292102`, 0, 0, 0, 0, 0, 0, 0, 5.277506780868675`,
8.645124420673909`, 0, 0, 0, 0, 0}, {-5.54306838200611`, 0, 0, 0, 0,
-0.6055577914686769`, 0, 0, 0, 0, 0, 0, 0, 4.326562575404825`,
5.88104528706117`, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
0}, {0.003943504256646246`, 0, 0, 0, 0, -0.5088660713961708`, 0, 0, 0, 0, 0, 0,
0, 2.27325228121694`, 3.8389601546092003`, 0, 0, 0, 0, 0},
{-3.840307202052757`, 0, 0, 0, 0, -0.3726028871266531`, 0, 0, 0, 0, 0, 0, 0,
3.273513569098487`, 3.3956651803823523`, 0, 0, 0, 0, 0}, {-4.175621978742781`,
0, 0, 0, 0, -0.37488752802352954`, 0, 0, 0, 0, 0, 0, 0, 2.694838222508521`,
4.564624954664183`, 0, 0, 0, 0, 0}, {-3.4979727667529`, 0, 0, 0, 0,
-0.5900621024014363`, 0, 0, 0, 0, 0, 0, 0, 4.174004433122655`,
4.3674464032633225`, 0, 0, 0, 0, 0}, {-4.202003788810777`, 0, 0, 0, 0,
-0.6153052481134285`, 0, 0, 0, 0, 0, 0, 0, 3.386527602907627`,
6.445255821488926`, 0, 0, 0, 0, 0}}, {{0, 0, 0, -1.4695241076981276`, 0, 0, 0,
0.8590848429955978`, 0, 0, 0, 0, 0, 0, 1.3286089506937262`, 0, 0, 0, 0, 0}, {0,
0, 0, 0.5749777208493665`, 0, 0, 0, 6.46066399305794`, 0, 0, 0, 0, 0, 0,
5.90111415629391`, 0, 0, 0, 0, -2.5227927797789693`}, {0, 0, 0,
-2.2811678681488217`, 0, 0, 0, 3.6595752202638514`, 0, 0, 0, 0, 0, 0,
3.775267997688813`, 0, 0, 0, 0, -0.9427275628290595`}, {0, 0, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, -1.0762113700296219`, 0, 0, 0,
7.163746271780905`, 0, 0, 0, 0, 0, 0, 6.258634119402716`, 0, 0, 0, 0,
-2.4115280374965846`}, {0, 0, 0, 1.3812378196260744`, 0, 0, 0,
4.045603946179178`, 0, 0, 0, 0, 0, 0, 3.086499656734797`, 0, 0, 0, 0,
-1.5836219277626338`}, {0, 0, 0, -2.5973887101006676`, 0, 0, 0,
4.630183099985565`, 0, 0, 0, 0, 0, 0, 3.49060682006243`, 0, 0, 0, 0,
-0.9427275628290603`}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0}, {0, 0, 0, -1.2600684445684749`, 0, 0, 0, 4.045603946179174`, 0, 0, 0, 0,
0, 0, 5.72780592092934`, 0, 0, 0, 0, -1.5836219277626329`}, {0, 0, 0,
0.2608205404701127`, 0, 0, 0, 1.9370171893653474`, 0, 0, 0, 0, 0, 0,
3.574222563572296`, 0, 0, 0, 0, -0.9999999999999956`}, {0, 0, 0,
-1.2853368565814467`, 0, 0, 0, 5.434917969930267`, 0, 0, 0, 0, 0, 0,
3.8745829165802563`, 0, 0, 0, 0, -1.4929240404023294`}, {0, 0, 0,
0.24214062247138224`, 0, 0, 0, 3.5331375255500355`, 0, 0, 0, 0, 0, 0,
1.9297092350278453`, 0, 0, 0, 0, -0.9900956418796492`}, {0, 0, 0,
0.595721973154526`, 0, 0, 0, 5.8986788408682065`, 0, 0, 0, 0, 0, 0,
6.5542270808144405`, 0, 0, 0, 0, -2.54219115076709`}, {0, 0, 0,
-3.3501406641046616`, 0, 0, 0, 5.234688464085705`, 0, 0, 0, 0, 0, 0,
7.012686054834877`, 0, 0, 0, 0, -1.567937169062838`}, {0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, -1.78574494964997`, 0, 0, 0,
1.8296927227173052`, 0, 0, 0, 0, 0, 0, 1.0439477730673379`, 0, 0, 0, 0, 0}, {0,
0, 0, -1.0502318853844121`, 0, 0, 0, 6.460663993057914`, 0, 0, 0, 0, 0, 0,
7.52632376252766`, 0, 0, 0, 0, -2.5227927797789595`}, {0, 0, 0,
1.4073657336052217`, 0, 0, 0, 3.098188463599952`, 0, 0, 0, 0, 0, 0,
4.107568033819353`, 0, 0, 0, 0, -1.599463587938029`}, {0, 0, 0,
-2.0762113700296254`, 0, 0, 0, 7.163746271780911`, 0, 0, 0, 0, 0, 0,
7.258634119402723`, 0, 0, 0, 0, -2.411528037496587`}, {0, 0, 0,
1.8860301467038914`, 0, 0, 0, 1.9370171893653592`, 0, 0, 0, 0, 0, 0,
1.9490129573385317`, 0, 0, 0, 0, -1.`}}, {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0}, {12.170676809906857`, 0, 0, -1.6956372759096858`, 0,
0, 9.72702841332612`, 0, 0, 0, 0, 0, 0, 0, 0, 0.27854214253997434`, 0, 0, 0,
0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -0.9999999999999993`, 0, 0,
0, 0}, {7.217418256377102`, 0, 0, -1.`, 0, 0, 4.1583016734110325`, 0, 0, 0, 0,
0, 0, 0, 0, 2.0569490389189204`, 0, 0, 0, 0}, {7.217418256377121`, 0, 0,
-1.0000000000000027`, 0, 0, 6.716334484353535`, 0, 0, 0, 0, 0, 0, 0, 0,
-0.5010837720235664`, 0, 0, 0, 0}, {10.878668644524405`, 0, 0,
-1.6142987034185508`, 0, 0, 8.39257087877405`, 0, 0, 0, 0, 0, 0, 0, 0,
1.6433312842562355`, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0}, {3.2641143366734435`, 0, 0, -0.5465398575313145`, 0, 0,
2.2726776041582917`, 0, 0, 0, 0, 0, 0, 0, 0, 1.9902520833004305`, 0, 0, 0, 0},
{9.313880121099361`, 0, 0, -0.9610162763473336`, 0, 0, 5.676025469073791`, 0,
0, 0, 0, 0, 0, 0, 0, -1.179543485279301`, 0, 0, 0, 0}, {11.2078542192557`, 0,
0, -1.2936691700324792`, 0, 0, 6.440218517885633`, 0, 0, 0, 0, 0, 0, 0, 0,
0.15691773019120125`, 0, 0, 0, 0}, {3.264114336673442`, 0, 0,
-0.5465398575313143`, 0, 0, 3.8562995319209277`, 0, 0, 0, 0, 0, 0, 0, 0,
0.40663015553779225`, 0, 0, 0, 0}, {5.592857604214241`, 0, 0,
-0.9364621710265746`, 0, 0, 4.944337990032391`, 0, 0, 0, 0, 0, 0, 0, 0,
1.7469813455105783`, 0, 0, 0, 0}, {14.41178957985707`, 0, 0,
-1.8481246113179086`, 0, 0, 10.381693613110777`, 0, 0, 0, 0, 0, 0, 0, 0,
-0.3025325722847225`, 0, 0, 0, 0}, {6.946883358340843`, 0, 0,
-0.5305128290758143`, 0, 0, 3.869224627172904`, 0, 0, 0, 0, 0, 0, 0, 0,
-1.720589507766074`, 0, 0, 0, 0}, {6.624988463347321`, 0, 0,
-0.7526669148795466`, 0, 0, 3.129816091664739`, 0, 0, 0, 0, 0, 0, 0, 0,
0.9882071032326574`, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0}, {11.207854219255712`, 0, 0, -1.293669170032481`, 0, 0,
8.05552376599907`, 0, 0, 0, 0, 0, 0, 0, 0, -1.458387517922226`, 0, 0, 0, 0},
{14.411789579857064`, 0, 0, -1.8481246113179077`, 0, 0, 9.381693613110775`, 0,
0, 0, 0, 0, 0, 0, 0, 0.6974674277152784`, 0, 0, 0, 0}, {6.6249884633473375`, 0,
0, -0.7526669148795491`, 0, 0, 5.687848902607241`, 0, 0, 0, 0, 0, 0, 0, 0,
-1.5698257077098332`, 0, 0, 0, 0}, {12.170676809906821`, 0, 0,
-1.6956372759096805`, 0, 0, 8.111723165212666`, 0, 0, 0, 0, 0, 0, 0, 0,
1.8938473906534006`, 0, 0, 0, 0}}, {{0, -4.285228820267802`, 0, 0,
9.226515505063848`, 5.812692621523033`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1.9378797624948039`, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0}, {0, -2.9399572323480117`, 0, 0, 6.985903516459332`,
3.578309337745482`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1.32860895069373`, 0},
{0, -3.4412488615275265`, 0, 0, 6.73155898344145`, 5.715625752124398`, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, -1.5585347273367143`, 0}, {0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0}, {0, -4.179559238428596`, 0, 0, 6.753419515520527`,
3.992161857865206`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1.0439477730673445`,
0}, {0, -3.7494796210899626`, 0, 0, 5.1897495628399035`, 4.56080761363024`, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.964854617513927`, 0}, {0,
-3.0795122070391985`, 0, 0, 11.364854376055236`, 6.367644935397875`, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, -2.6413062641945455`, 0}, {0, -3.0678642787253043`,
0, 0, 10.61212684581037`, 6.9119511433425584`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, -2.6093679460583767`, 0}, {0, -1.619078035664117`, 0, 0,
1.6414672860779373`, 1.0223892504138175`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0}, {0, -1.6252096062337755`, 0, 0, 1.026261115574413`, 1.6514707218081883`,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0.4449928691228202`, 0, 0,
3.641464127722621`, 2.0122631411393255`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0.9901927761369564`, 0}, {0, -6.60329751519399`, 0, 0, 18.28156700229338`,
10.287662592782146`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3.95675619603871`,
0}, {0, -4.6071538717813425`, 0, 0, 11.034299082201228`, 7.747819068045954`, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2.558534727336716`, 0}, {0,
-5.5248308263483805`, 0, 0, 8.994031504125031`, 6.226545141642751`, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, -1.653218584868417`, 0}, {0, -0.8948400226205824`, 0,
0, 6.9928545416316314`, 3.302740098759766`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1.6252096062337733`, 0}, {0, -0.9002787187969692`, 0, 0, 5.882076116327134`,
4.246646424916875`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1.5994635879380303`,
0}, {0, -1.1659050102538107`, 0, 0, 5.30274009875977`, 2.0321933159215493`, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1.`, 0}, {0, -1.1730242561047248`, 0, 0,
3.6192723041787396`, 3.609211044582794`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0.9841583398246043`, 0}}, {{0, 0, -0.9999999999999998`, 0, 0,
4.0804277607476775`, 0, 0, 0, 0, 0, 0, 2.8417778191546215`, 0, 0, 0, 0,
2.841777819154621`, 0, 0}, {0, 0, 0, 0, 0, 0.6153052481134312`, 0, 0, 0, 0, 0,
0, 0.9976697926427395`, 0, 0, 0, 0, -0.6176354554706931`, 0, 0}, {0, 0, -1.`,
0, 0, 4.080427760747679`, 0, 0, 0, 0, 0, 0, 3.841777819154622`, 0, 0, 0, 0,
1.8417778191546208`, 0, 0}, {0, 0, -0.4762123394073414`, 0, 0,
2.5612911561574365`, 0, 0, 0, 0, 0, 0, 0.3129572060761323`, 0, 0, 0, 0,
2.3947776776112804`, 0, 0}, {0, 0, -0.4762123394073423`, 0, 0,
2.561291156157442`, 0, 0, 0, 0, 0, 0, 2.8709900170186238`, 0, 0, 0, 0,
-0.16325513333120778`, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0}, {0, 0, -1.3878112141023338`, 0, 0, 6.474576078440618`, 0, 0, 0, 0,
0, 0, 4.783249598920781`, 0, 0, 0, 0, 2.395438384818446`, 0, 0}, {0, 0,
-0.7816869763637928`, 0, 0, 4.230437680917661`, 0, 0, 0, 0, 0, 0,
1.513709015716325`, 0, 0, 0, 0, 2.3156439671151734`, 0, 0}, {0, 0,
-0.7864027944424121`, 0, 0, 2.6044298967861885`, 0, 0, 0, 0, 0, 0,
3.1519596297566737`, 0, 0, 0, 0, 2.3655568353142593`, 0, 0}, {0, 0,
-0.4838777665514802`, 0, 0, 1.60251938383605`, 0, 0, 0, 0, 0, 0,
1.3217818465602407`, 0, 0, 0, 0, 2.4532093281221896`, 0, 0}, {0, 0,
-0.781686976363793`, 0, 0, 4.230437680917662`, 0, 0, 0, 0, 0, 0,
3.0973309434789638`, 0, 0, 0, 0, 0.7320220393525345`, 0, 0}, {0, 0,
-0.4887182066904776`, 0, 0, 3.280024241037184`, 0, 0, 0, 0, 0, 0,
1.3249628868162855`, 0, 0, 0, 0, 0.8362446801258099`, 0, 0}, {0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, -1.7764984363220653`, 0, 0,
6.644443639707218`, 0, 0, 0, 0, 0, 0, 6.344168932839699`, 0, 0, 0, 0,
4.567670496517629`, 0, 0}, {0, 0, -0.7739448686118726`, 0, 0,
3.1687291948793344`, 0, 0, 0, 0, 0, 0, 1.5062908502977537`, 0, 0, 0, 0,
3.2903787926283736`, 0, 0}, {0, 0, -1.3878112141023315`, 0, 0,
6.474576078440609`, 0, 0, 0, 0, 0, 0, 3.7832495989207735`, 0, 0, 0, 0,
3.3954383848184424`, 0, 0}, {0, 0, -0.4838777665514802`, 0, 0,
1.6025193838360514`, 0, 0, 0, 0, 0, 0, 2.93708709467367`, 0, 0, 0, 0,
0.8379040800087613`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0}, {0, 0, -0.7739448686118735`, 0, 0, 3.168729194879339`, 0, 0, 0, 0, 0,
0, 4.064323661240249`, 0, 0, 0, 0, 0.7323459816858822`, 0, 0}, {0, 0, 0, 0, 0,
0.6153052481134264`, 0, 0, 0, 0, 0, 0, -0.6176354554706935`, 0, 0, 0, 0,
0.9976697926427358`, 0, 0}}, {{0, 0, 0, 0, 3.755792204446553`, 0, 0, 0, 0, 0,
0, 0, 0.5485592412742636`, -0.8343297592998757`, 0, 0, 5.159728669843544`, 0,
0, 0}, {0, 0, 0, 0, 0.6252096062337803`, 0, 0, 0, 0, 0, 0, 0,
1.0099043581203506`, 0, 0, 0, -0.6153052481134265`, 0, 0, 0}, {0, 0, 0, 0,
2.1748251181166145`, 0, 0, 0, 0, 0, 0, 0, -0.4504324584174899`,
-0.39092540006613685`, 0, 0, 3.1074333724953997`, 0, 0, 0}, {0, 0, 0, 0,
5.044165679852127`, 0, 0, 0, 0, 0, 0, 0, 2.5554535456707113`,
-1.1342428994348337`, 0, 0, 5.249838708359523`, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2.6030509858223754`, 0, 0,
0, 0, 0, 0, 0, 2.0264457652878733`, -0.4450835649666609`, 0, 0,
1.060067494344385`, 0, 0, 0}, {0, 0, 0, 0, 4.877270435824538`, 0, 0, 0, 0, 0,
0, 0, 0.15032263434298443`, -0.8325992077013358`, 0, 0, 4.84339934404376`, 0,
0, 0}, {0, 0, 0, 0, 5.794189636105588`, 0, 0, 0, 0, 0, 0, 0,
2.0187275639075213`, -1.1572335185058638`, 0, 0, 5.330088658504787`, 0, 0, 0},
{0, 0, 0, 0, 1.5869543278616098`, 0, 0, 0, 0, 0, 0, 0, 0.3851395010933313`,
-0.44508356496666224`, 0, 0, 3.6852771005781673`, 0, 0, 0}, {0, 0, 0, 0,
2.5537444316433446`, 0, 0, 0, 0, 0, 0, 0, 1.6136765353338443`,
-0.7162333885066301`, 0, 0, 4.315083364484966`, 0, 0, 0}, {0, 0, 0, 0,
3.290535491122487`, 0, 0, 0, 0, 0, 0, 0, 0.43670240262278914`,
-0.4550486523577728`, 0, 0, 2.0800288233801205`, 0, 0, 0}, {0, 0, 0, 0,
4.309026948073225`, 0, 0, 0, 0, 0, 0, 0, 1.7053095865105585`,
-0.7350424763004526`, 0, 0, 2.7506704300503206`, 0, 0, 0}, {0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 4.338757717507978`, 0,
0, 0, 0, 0, 0, 0, 0.0844233328378462`, -1.`, 0, 0, 7.53888609973118`, 0, 0, 0},
{0, 0, 0, 0, 4.659470927965564`, 0, 0, 0, 0, 0, 0, 0, 1.9340540940266442`,
-1.134242899434836`, 0, 0, 6.2437445048288875`, 0, 0, 0}, {0, 0, 0, 0,
6.458237522154471`, 0, 0, 0, 0, 0, 0, 0, 1.1493143340347394`,
-1.2760035669350738`, 0, 0, 6.8956946413918985`, 0, 0, 0}, {0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1.5809670863299399`, 0,
0, 0, 0, 0, 0, 0, 1.9989916996917545`, -0.4434043592337391`, 0, 0,
2.052295297348145`, 0, 0, 0}, {0, 0, 0, 0, 0.6153052481134286`, 0, 0, 0, 0, 0,
0, 0, -0.6213994516440731`, 0, 0, 0, 0.9939057964693562`, 0, 0, 0}, {0, 0, 0,
0, 3.1789540378771224`, 0, 0, 0, 0, 0, 0, 0, 2.6235808934541938`,
-0.7162333885066303`, 0, 0, 2.6997781163715393`, 0, 0, 0}}, {{0, 0, 0, 0,
3.2209254727871754`, -0.5952983766529187`, 3.6163379961013473`, 0, 0, 0,
-2.3749501264361768`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
4.206123366644251`, -0.6314638503476764`, 1.866964045157084`, 0, 0, 0,
-0.8613178821627319`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
0.8031534964601647`, 0, 1.2726776041582912`, 0, 0, 0, -1.4695241076981271`, 0,
0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 7.1847400448217575`,
-1.5227927797789667`, 5.9951601802966685`, 0, 0, 0, -2.3161094638129573`, 0, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0}, {0, 0, 0, 0, 5.055388317177027`, -1.`, 2.9565652002551768`, 0, 0, 0,
-0.3859008343199182`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3.8288367180414706`,
-0.9427275628290659`, 3.711471987909807`, 0, 0, 0, -0.43385249724040076`, 0, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 6.932219304145514`, -1.0000000000000036`,
5.48667861429488`, 0, 0, 0, -5.015230935637798`, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 9.266387084850434`, -1.5930524423485384`, 7.209483038039073`, 0,
0, 0, -5.172308388599097`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2.5392548082888515`,
-0.6252096062337773`, 1.8484729646560276`, 0, 0, 0, 0.7625181667111001`, 0, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 6.812063664881244`, -1.0100034357302565`,
3.9346489736267567`, 0, 0, 0, -3.1131247082471596`, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 7.0559251735681565`, -0.9900956418796563`, 6.717468283140363`, 0,
0, 0, -6.087800781096995`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
7.895309285659434`, -1.5227927797789702`, 6.953062506254797`, 0, 0, 0,
-4.068776378692509`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
2.4177719763270136`, -0.5952983766529196`, 3.3436603919430556`, 0, 0, 0,
-0.9054260187380487`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
5.360947322747839`, -0.6314638503476742`, 3.423756107137881`, 0, 0, 0,
-3.70976898875308`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
9.229835641208254`, -1.6053018123831757`, 6.278309365569813`, 0, 0, 0,
-4.018550726985207`, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0,
1.710569240837661`, 0, 0.9579023259581149`, 0, 0, 0, -1.7526669148795468`, 0,
0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 8.111563128746843`, -1.5930524423485402`,
5.652690976058275`, 0, 0, 0, -2.323857282008748`, 0, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0, 0, -0.5673372480262608`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1.7744351569384866`, 0, 0, 0, 0, 1.247119949851066`, -0.23349363692514746`},
{0, 0, -4.735205962318099`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.7672039214679702`,
0, 0, 0, 0, 6.2603993582417194`, -0.6228365028737186`}, {0, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, -5.919048916549528`, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6.4646139096782775`, 0, 0, 0, 0, 7.2612575239462185`,
-0.9805189533356322`}, {0, 0, -1.9097488102860467`, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1.925550557339743`, 0, 0, 0, 0, 4.071083773046239`, -0.38323456893481156`},
{0, 0, -6.489315060613274`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6.095972184855011`,
0, 0, 0, 0, 8.676592678376844`, -1.012239867583414`}, {0, 0,
-0.4370221727377781`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.5880769366108103`, 0, 0,
0, 0, 3.686081266426098`, -0.5150945247277514`}, {0, 0, -4.584797823468822`, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6.10382197898391`, 0, 0, 0, 0, 7.392297320649307`,
-1.0253149090732814`}, {0, 0, -1.4450835649666622`, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1.0100034357302559`, 0, 0, 0, 0, 0.5649198707635945`, 0}, {0, 0,
-4.163191932648151`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.5040350798303184`, 0, 0,
0, 0, 3.2837239087596632`, -0.3771634971262827`}, {0, 0, -2.102728189295279`,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.293787555063176`, 0, 0, 0, 0,
5.417330821514906`, -0.6555492656455684`}, {0, 0, -4.981112554247979`, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 5.920941245504251`, 0, 0, 0, 0, 8.332672572043734`,
-1.052743373419304`}, {0, 0, -4.50048649984968`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2.9267731921512246`, 0, 0, 0, 0, 4.451997307234876`, -0.37947610172521173`},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0,
-4.009300106263489`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4.539063352338544`, 0, 0, 0,
0, 4.190173750899988`, -0.5972843844008218`}, {0, 0, -2.0043594207640414`, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 4.362512093549299`, 0, 0, 0, 0, 4.9332012162771655`,
-0.7485881616528993`}, {0, 0, -1.6314638503476733`, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0.6377806583906047`, 0, 0, 0, 0, 1.2692445087382782`, 0}, {0, 0,
-6.067823747875943`, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4.701208349089713`, 0, 0, 0,
0, 5.6991172570859465`, -0.6129697386503599`}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, -7.2669340446185675`, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6.633458342907677`, 0, 0, 0, 0, 8.274878758263092`, -1.`}}, {{0, 0,
-0.46855022934119095`, 0, 0, 0, 0, 0, 0, 4.780894069969161`, 0, 0, 0, 0, 0, 0,
0, -3.842223404458986`, 0, 3.5803541692928764`}, {0, 0, -0.8584536036538546`,
0, 0, 0, 0, 0, 0, 4.972920889628168`, 0, 0, 0, 0, 0, 0, 0, -2.289315484802712`,
0, 5.271135017089003`}, {0, 0, -1.`, 0, 0, 0, 0, 0, 0, 7.859520165833209`, 0,
0, 0, 0, 0, 0, 0, -5.259488337806089`, 0, 6.224520045728551`}, {0, 0, 0, 0, 0,
0, 0, 0, 0, 0.984158339824606`, 0, 0, 0, 0, 0, 0, 0, -1.6153052481134282`, 0,
1.5994635879380317`}, {0, 0, -1.359465950713095`, 0, 0, 0, 0, 0, 0,
8.859384905668623`, 0, 0, 0, 0, 0, 0, 0, -5.240715449413543`, 0,
8.363326657434996`}, {0, 0, -0.5334624110017971`, 0, 0, 0, 0, 0, 0,
3.0902850849606702`, 0, 0, 0, 0, 0, 0, 0, -2.0402676779559994`, 0,
4.279389138164813`}, {0, 0, -1.5293755888628828`, 0, 0, 0, 0, 0, 0,
11.727596018050962`, 0, 0, 0, 0, 0, 0, 0, -8.887056148507362`, 0,
10.661998866307819`}, {0, 0, -0.5454062345080737`, 0, 0, 0, 0, 0, 0,
4.774937970720787`, 0, 0, 0, 0, 0, 0, 0, -4.737418463717154`, 0,
5.381590572406334`}, {0, 0, -0.5334624110017989`, 0, 0, 0, 0, 0, 0,
4.715494691194458`, 0, 0, 0, 0, 0, 0, 0, -2.040267677956003`, 0,
2.6541795319310473`}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0}, {0, 0, -1.3870217448277877`, 0, 0, 0, 0, 0, 0, 9.65031776351337`, 0, 0, 0,
0, 0, 0, 0, -6.9818302896146776`, 0, 9.568949634971577`}, {0, 0,
-0.8809975529546721`, 0, 0, 0, 0, 0, 0, 6.113518775583319`, 0, 0, 0, 0, 0, 0,
0, -5.027167300717984`, 0, 7.083543548747301`}, {0, 0, -0.5314497706588088`, 0,
0, 0, 0, 0, 0, 3.0786260958640472`, 0, 0, 0, 0, 0, 0, 0, -0.4172649333471026`,
0, 2.6441658764356735`}, {0, 0, -1.198566860229398`, 0, 0, 0, 0, 0, 0,
10.614535549983689`, 0, 0, 0, 0, 0, 0, 0, -6.613921601001395`, 0,
7.200094216841478`}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1.5994635879380414`, 0, 0, 0,
0, 0, 0, 0, -1.6153052481134331`, 0, 0.9841583398246112`}, {0, 0,
-0.997925818204072`, 0, 0, 0, 0, 0, 0, 8.648969922186899`, 0, 0, 0, 0, 0, 0, 0,
-7.4697912151602495`, 0, 8.017832989872133`}, {0, 0, -0.8584536036538521`, 0,
0, 0, 0, 0, 0, 5.9729208896281545`, 0, 0, 0, 0, 0, 0, 0, -2.2893154848027044`,
0, 4.271135017088989`}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0}, {0, 0, -1.3594659507130973`, 0, 0, 0, 0, 0, 0, 9.474690153782065`, 0, 0,
0, 0, 0, 0, 0, -5.240715449413548`, 0, 7.748021409321579`}, {0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{0, 0, 0, 4.317039587549729`, 0,
1.4215562242434456`, 0, 0, 0, -0.8175000600523288`, 0, 1.3059590370095169`, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2.2767794056518804`, 0, 3.0325751150634264`, 0,
0, 0, -0.6055577914686805`, 0, 0.34916509381892924`, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 5.335618309575071`, 0, 2.669875398086419`, 0, 0, 0,
-1.1923875880758592`, 0, 1.9030414417492982`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0,
3.6055577914686885`, 0, 3.1932414052189455`, 0, 0, 0, -0.9589745970973134`, 0,
1.5273563821608054`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 4.4944285166558045`, 0,
1.6461119238493598`, 0, 0, 0, -1.0172340715481951`, 0, 2.7735479396076115`, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0.6190780356641202`, 0, -0.6228508232148053`,
0, 0, 0, 0, 0, 0.9962272124493121`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0,
7.805208591985464`, 0, 4.88984283733781`, 0, 0, 0, -1.6252096062337804`, 0,
0.8948400226205718`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 5.434049659616337`, 0,
3.4095993143846184`, 0, 0, 0, -1.`, 0, -0.06470548597305292`, 0, 0, 0, 0, 0, 0,
0, 0}, {0, 0, 0, 2.2321216350158917`, 0, 1.3540147933294653`, 0, 0, 0,
-0.5936801098227937`, 0, 1.9417800012764765`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0,
4.3355794768489195`, 0, 4.331881423376257`, 0, 0, 0, -0.9841583398246059`, 0,
-0.05161157102807712`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 11.692437138534855`,
0, 6.051617813218538`, 0, 0, 0, -2.4346128529279487`, 0, 2.5650135504222376`,
0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3.9550562529580895`, 0, 1.4726966312344687`,
0, 0, 0, -0.6153052481134291`, 0, 0.3387869232549783`, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 3.4758497946304607`, 0, 0.39779275000638603`, 0, 0, 0,
-0.6423465435246636`, 0, 2.1764655348678272`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0,
0, 7.07936521492054`, 0, 5.426015827213794`, 0, 0, 0, -1.60555779146868`, 0,
0.899764855959303`, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3.317000754823578`, 0,
3.0835622495332844`, 0, 0, 0, -0.6092708118010748`, 0, -0.6486939757678596`, 0,
0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 6.560614044426782`, 0, 4.665938036453419`, 0,
0, 0, -1.5742798452107438`, 0, 1.8661433054157857`, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0.6314638503476749`, 0, 1.0161586022342464`, 0, 0, 0, 0, 0,
-0.6153052481134278`, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 0, 0, 0,
1.78129116194157`, 2.2553639683439437`, 0, 0, 0, 0.47324150061717574`, 0, 0, 0,
0, 0, 0, 0, -0.48928998053881`}, {0, 0, 0, 0, 0, 0, 2.593379883844096`,
1.6376256468663988`, 0, 0, 0, 4.512314027070983`, 0, 0, 0, 0, 0, 0, 0,
-1.0000000000000027`}, {0, 0, 0, 0, 0, 0, 2.149827311593898`,
1.2251535237003641`, 0, 0, 0, 1.0744949063212694`, 0, 0, 0, 0, 0, 0, 0,
-0.4892899805388109`}, {0, 0, 0, 0, 0, 0, 1.21725332215747`,
3.005356169415549`, 0, 0, 0, 1.541975786619883`, 0, 0, 0, 0, 0, 0, 0,
-0.6092110445827812`}, {0, 0, 0, 0, 0, 0, 2.1599808849865343`,
0.37004404984162087`, 0, 0, 0, 3.0800017261018664`, 0, 0, 0, 0, 0, 0, 0,
-0.6092110445827821`}, {0, 0, 0, 0, 0, 0, 1.2098800667828278`,
1.381630980900277`, 0, 0, 0, 3.1320991813135763`, 0, 0, 0, 0, 0, 0, 0,
-0.6055208771155853`}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0,
0, 0, 0, 5.092133979044084`, 4.999395730494903`, 0, 0, 0, 4.504887811787891`,
0, 0, 0, 0, 0, 0, 0, -1.7489070431919806`}, {0, 0, 0, 0, 0, 0,
4.3868527139144`, 5.527759621625765`, 0, 0, 0, 4.385790294272361`, 0, 0, 0, 0,
0, 0, 0, -1.7035315086070946`}, {0, 0, 0, 0, 0, 0, 0.5836219277626369`,
-0.6314638503476724`, 0, 0, 0, 0.9521580774149634`, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0,
0, 4.266228542877375`, 3.7464913332973087`, 0, 0, 0, 5.82516190138213`, 0, 0,
0, 0, 0, 0, 0, -1.6509556245295185`}, {0, 0, 0, 0, 0, 0, 6.087370869793711`,
5.7297190306168195`, 0, 0, 0, 3.984202231311182`, 0, 0, 0, 0, 0, 0, 0,
-1.8487761557747744`}, {0, 0, 0, 0, 0, 0, 2.6870767821965247`,
4.3750438874348205`, 0, 0, 0, 2.061714314894241`, 0, 0, 0, 0, 0, 0, 0,
-1.042097674041886`}, {0, 0, 0, 0, 0, 0, 0.6314638503476717`,
1.0302104446435794`, 0, 0, 0, -0.601253405704091`, 0, 0, 0, 0, 0, 0, 0, 0}, {0,
0, 0, 0, 0, 0, 4.982151090567321`, 3.863655283731723`, 0, 0, 0,
5.356998075952255`, 0, 0, 0, 0, 0, 0, 0, -1.703531508607096`}, {0, 0, 0, 0, 0,
0, 3.897692393225047`, 4.77670177794089`, 0, 0, 0, 5.223908495678038`, 0, 0, 0,
0, 0, 0, 0, -1.6509556245295185`}, {0, 0, 0, 0, 0, 0, 3.6298043450255912`,
1.7397317678608903`, 0, 0, 0, 3.599740254376228`, 0, 0, 0, 0, 0, 0, 0,
-1.0420976740418872`}, {0, 0, 0, 0, 0, 0, 1.9980815071911697`,
3.301729984760438`, 0, 0, 0, 3.5411062453910804`, 0, 0, 0, 0, 0, 0, 0, -1.`}},
{{0, 0, 0, 0, 0, 0, 0, 0, 0, 4.755047104759477`, 0, 0, 0, -1.0100034357302534`,
0, 0, 3.5179705756285498`, -0.9982562098231322`, 0, 0}, {0, 0, 0, 0, 0, 0, 0,
0, 0, 1.5891597859101108`, 0, 0, 0, -0.8085606110634949`, 0, 0,
3.3793722701563556`, 1.2764343729277048`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
4.13596906909536`, 0, 0, 0, -1.0100034357302539`, 0, 0, 4.137048611292667`,
-0.9982562098231318`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 5.125425140741243`, 0,
0, 0, -1.2932632560369801`, 0, 0, 3.8057193082645253`, 0.4263050537769444`, 0,
0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 3.541803212978613`, 0, 0, 0,
-1.2932632560369814`, 0, 0, 5.389341236027166`, 0.4263050537769453`, 0, 0}, {0,
0, 0, 0, 0, 0, 0, 0, 0, 3.5865048252830545`, 0, 0, 0, -1.3140804723226394`, 0,
0, 4.4884012011165915`, 1.4568379491383925`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
8.990665958563323`, 0, 0, 0, -2.4683498680875386`, 0, 0, 9.045224313638302`,
-0.9118716027189508`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 7.887969935502937`, 0,
0, 0, -2.1572283502766463`, 0, 0, 6.983467502798999`, 0.1225744012846035`, 0,
0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0037870753815448`, 0, 0, 0, 0, 0, 0,
0.6214225308522372`, -0.6176354554706924`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
6.907584383229017`, 0, 0, 0, -2.157228350276645`, 0, 0, 7.963853055072908`,
0.12257440128460217`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 6.97510487917368`, 0,
0, 0, -2.183310745689972`, 0, 0, 7.451146243970997`, 0.7689521148761846`, 0,
0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, -0.6190780356641179`, 0, 0, 0, 0, 0, 0,
0.6190780356641153`, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 5.47736949478967`,
0, 0, 0, -1.`, 0, 0, 4.33891886198961`, -1.8389452818799956`, 0, 0}, {0, 0, 0,
0, 0, 0, 0, 0, 0, 4.147606784379952`, 0, 0, 0, -0.7957516686318151`, 0, 0,
2.3416790632217728`, -0.3590917147578414`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
9.609743994227431`, 0, 0, 0, -2.4683498680875364`, 0, 0, 8.42614627797418`,
-0.91187160271895`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0,
0, 0, 0, 0, 0, 0, 0, 2.5639848566173162`, 0, 0, 0, -0.7957516686318153`, 0, 0,
3.92530099098441`, -0.3590917147578412`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
2.5891597859101054`, 0, 0, 0, -0.8085606110634926`, 0, 0, 2.3793722701563462`,
1.2764343729277021`, 0, 0}}}
{{583.2511030315829`, 420.1029866690154`, -462.9475080162928`,
175.23166147437576`}, {-26.21167963224707`, -18.94466064956532`,
20.87674621756514`, -7.857025076668037`}, {411.8916483442542`,
297.69734758514994`, -328.0582371012457`, 122.4656861107742`},
{508.4532627352364`, 363.43746374469583`, -401.20885666688855`,
154.34836433619876`}, {70.11015517983537`, 50.31982272378514`,
-56.15767582208764`, 19.37126805472377`}, {84.36390227718857`,
57.96638761857412`, -65.02365041366693`, 25.752583313062132`},
{560.8770908261515`, 401.3803578262633`, -444.560263626376`,
165.8077785171772`}, {515.1436177034448`, 366.37969251471236`,
-406.0751574277024`, 154.40895950421316`}, {506.5163913212939`,
369.22251919837606`, -404.24195527713505`, 153.6447187918854`},
{510.33878885103286`, 370.2953418298175`, -405.73340424433763`,
156.06883400253537`}, {243.7750277311411`, 172.5354383797021`,
-192.46155018671652`, 70.84760387862883`}, {253.87531419006245`,
178.16011387958815`, -198.94618242019078`, 75.17892914739718`},
{72.93141876740674`, 55.23284984849079`, -59.01113272558041`,
23.385814428020012`}, {962.2126499425704`, 697.4454037906874`,
-766.3709301356149`, 289.42596223348`}, {668.2804265771542`,
481.2792058399525`, -529.6370929005627`, 202.76839695889214`},
{732.23654551348`, 523.7859969101271`, -579.4495345414231`,
218.57375388077855`}, {233.54096238074067`, 172.5728706189725`,
-187.84605702107024`, 70.83567707588668`}, {244.29087345473727`,
177.6384889323599`, -193.90040364063088`, 76.1517897916226`},
{229.93731902175506`, 168.16156481904193`, -184.58591205576374`,
67.79130067741697`}, {250.586146838049`, 178.77781056128197`,
-197.01060100570703`, 77.37613184998168`}}
{{0, 2, 13}, {0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2}, {1, 4, 10,
11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4, 18}, {2, 18, 16,
8, 13}, {3, 14, 9, 17, 19}, {3, 19, 5, 11, 7}, {6, 15, 7, 11, 10}, {8, 16, 12,
17, 9}}

3
fractal_dimension/circle_counting_new/src/search.rs
View file

@ -49,8 +49,7 @@ impl<'a> Searcher<'a> {
let new_circle = generator * circle; let new_circle = generator * circle;
if new_circle[1] - circle[1] <= self.tolerance { if new_circle[1] - circle[1] <= self.tolerance {
continue; continue;
} } else {
{
let mut seen = false; let mut seen = false;
for (j, max) in self.maxes.iter().enumerate() { for (j, max) in self.maxes.iter().enumerate() {
if seen || new_circle[1] <= *max { if seen || new_circle[1] <= *max {

1009
fractal_dimension/fractal_dimension.nb
View file

File diff suppressed because it is too large Load diff

40
root_tuple.nb
View file

@ -10,10 +10,10 @@
NotebookFileLineBreakTest NotebookFileLineBreakTest
NotebookFileLineBreakTest NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7] NotebookDataPosition[ 158, 7]
NotebookDataLength[ 37943, 1092] NotebookDataLength[ 38000, 1092]
NotebookOptionsPosition[ 36764, 1066] NotebookOptionsPosition[ 36822, 1066]
NotebookOutlinePosition[ 37157, 1082] NotebookOutlinePosition[ 37215, 1082]
CellTagsIndexPosition[ 37114, 1079] CellTagsIndexPosition[ 37172, 1079]
WindowFrame->Normal*) WindowFrame->Normal*)
(* Beginning of Notebook Content *) (* Beginning of Notebook Content *)
@ -425,8 +425,7 @@ Cell[BoxData[{
3.836775247540461*^9}, {3.836775298645521*^9, 3.836775315775177*^9}, { 3.836775247540461*^9}, {3.836775298645521*^9, 3.836775315775177*^9}, {
3.836775378516039*^9, 3.836775382545352*^9}, {3.8367820316307087`*^9, 3.836775378516039*^9, 3.836775382545352*^9}, {3.8367820316307087`*^9,
3.836782036214923*^9}, 3.8367825449307203`*^9}, 3.836782036214923*^9}, 3.8367825449307203`*^9},
CellLabel-> CellLabel->"In[17]:=",ExpressionUUID->"8619e990-8f3c-4557-a370-b0aceddab3a5"],
"In[107]:=",ExpressionUUID->"8619e990-8f3c-4557-a370-b0aceddab3a5"],
Cell[BoxData[ Cell[BoxData[
RowBox[{ RowBox[{
@ -755,12 +754,12 @@ Cell[BoxData[
RowBox[{"\"\<Exact\>\"", "->", "True"}]}], "]"}], "//", RowBox[{"\"\<Exact\>\"", "->", "True"}]}], "]"}], "//",
"FullSimplify"}]}]], "Input", "FullSimplify"}]}]], "Input",
CellChangeTimes->CompressedData[" CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQAWIQ7dJVNllg2hvH32cvgun+vNvzQPSXJY7zQbRCruVK 1:eJxTTMoPSmViYGAQBWIQ7dJVNllg2hvH32cvgun+vNvzQPSXJY7zQbRCruVK
EP2hJxlM794evxlEH28oANOORTYHQfSJMy5nQPQiubwLIPpx7rorIHoXh8Vt EP2hJxlM794evxlEH28oANOORTYHQfSJMy5nQPQiubwLIPpx7rorIHoXh8Vt
EH1m1qOHINrM/TeTIJCW+WDGDKLDGDnZQfStT0IiIJrhFJcliP6WzWUHok07 EH1m1qOHINrM/TeTIJCW+WDGDKLDGDnZQfStT0IiIJrhFJcliP6WzWUHok07
vZ1BdLpmvyuIFkpt9wLRmotKfED0jwP9cSDaPXwymBaYPKkcRO85UVEHop8X vZ1BdLpmvyuIFkpt9wLRmotKfED0jwP9cSDaPXwymBaYPKkcRO85UVEHop8X
LGsD0V1s3ztB9K7jmxaD6L6TyUtAtO/zCztA9LqmwF0g+v6h4yEiQNpobXU4 LGsD0V1s3ztB9K7jmxaD6L6TyUtAtO/zCztA9LqmwF0g+v6h4yEiQNpobXU4
iD4xVTYORB97+CQFRCsoHckC0W2tV8A0AOvZnTQ= iD4xVTYORB97+CQFRCsoHckC0W2tV8C0joyoXgeQNpFRANMA6z+i9A==
"], "],
CellLabel->"In[20]:=",ExpressionUUID->"91e21391-15e5-4f71-a86a-70fa1b7d0f63"], CellLabel->"In[20]:=",ExpressionUUID->"91e21391-15e5-4f71-a86a-70fa1b7d0f63"],
@ -986,8 +985,8 @@ Cell[BoxData[
3.836775710248557*^9, 3.836775715714079*^9}, {3.836775884582399*^9, 3.836775710248557*^9, 3.836775715714079*^9}, {3.836775884582399*^9,
3.836775891136197*^9}, {3.836781233827829*^9, 3.83678124429418*^9}, { 3.836775891136197*^9}, {3.836781233827829*^9, 3.83678124429418*^9}, {
3.8367812978893347`*^9, 3.836781353440551*^9}, 3.836781399263618*^9, 3.8367812978893347`*^9, 3.836781353440551*^9}, 3.836781399263618*^9,
3.836781439189076*^9}, 3.836781439189076*^9, 3.837018474911059*^9},
CellLabel->"Out[20]=",ExpressionUUID->"38df915a-be40-4d71-b537-efd37c74906b"] CellLabel->"Out[20]=",ExpressionUUID->"b88f9091-3c9e-4e1f-894b-685f745c7fd5"]
}, Open ]], }, Open ]],
Cell[CellGroupData[{ Cell[CellGroupData[{
@ -1060,8 +1059,9 @@ Cell[BoxData[
2 5^Rational[1, 2])}, {-0.7708203932499369, 0.3618033988749895}], 2 5^Rational[1, 2])}, {-0.7708203932499369, 0.3618033988749895}],
NCache[Rational[1, 5]/(3 + 5^Rational[1, 2]), NCache[Rational[1, 5]/(3 + 5^Rational[1, 2]),
0.03819660112501052]]}]], "Output", 0.03819660112501052]]}]], "Output",
CellChangeTimes->{3.8367814063844*^9, 3.836781439334742*^9}, CellChangeTimes->{3.8367814063844*^9, 3.836781439334742*^9,
CellLabel->"Out[21]=",ExpressionUUID->"4132ca7b-24a6-4589-bb4c-d5b579b34549"] 3.83701847501545*^9},
CellLabel->"Out[21]=",ExpressionUUID->"22cb1e0b-7fa9-4a36-950e-b730f0550200"]
}, Open ]] }, Open ]]
}, },
WindowSize->{1428., 779.25}, WindowSize->{1428., 779.25},
@ -1082,17 +1082,17 @@ CellTagsIndex->{}
(*NotebookFileOutline (*NotebookFileOutline
Notebook[{ Notebook[{
Cell[558, 20, 223, 5, 35, "Text",ExpressionUUID->"30527bb2-1c83-410b-a9c3-cd217fac9ba3"], Cell[558, 20, 223, 5, 35, "Text",ExpressionUUID->"30527bb2-1c83-410b-a9c3-cd217fac9ba3"],
Cell[784, 27, 6715, 205, 965, "Input",ExpressionUUID->"712f1eee-ffe3-4442-b0ef-88c55ebe5557"], Cell[784, 27, 6715, 205, 820, "Input",ExpressionUUID->"712f1eee-ffe3-4442-b0ef-88c55ebe5557"],
Cell[7502, 234, 868, 13, 173, "Text",ExpressionUUID->"9ac07c3a-f945-48dc-946f-d840bb5c11e3"], Cell[7502, 234, 868, 13, 81, "Text",ExpressionUUID->"9ac07c3a-f945-48dc-946f-d840bb5c11e3"],
Cell[8373, 249, 7062, 179, 602, "Input",ExpressionUUID->"8619e990-8f3c-4557-a370-b0aceddab3a5"], Cell[8373, 249, 7058, 178, 546, "Input",ExpressionUUID->"8619e990-8f3c-4557-a370-b0aceddab3a5"],
Cell[15438, 430, 10284, 311, 257, "Input",ExpressionUUID->"e8ee6a05-c4eb-478e-af98-5d6b7fbfa46a"], Cell[15434, 429, 10284, 311, 257, "Input",ExpressionUUID->"e8ee6a05-c4eb-478e-af98-5d6b7fbfa46a"],
Cell[CellGroupData[{ Cell[CellGroupData[{
Cell[25747, 745, 835, 19, 29, "Input",ExpressionUUID->"91e21391-15e5-4f71-a86a-70fa1b7d0f63"], Cell[25743, 744, 851, 19, 29, "Input",ExpressionUUID->"91e21391-15e5-4f71-a86a-70fa1b7d0f63"],
Cell[26585, 766, 6459, 223, 103, "Output",ExpressionUUID->"38df915a-be40-4d71-b537-efd37c74906b"] Cell[26597, 765, 6481, 223, 103, "Output",ExpressionUUID->"b88f9091-3c9e-4e1f-894b-685f745c7fd5"]
}, Open ]], }, Open ]],
Cell[CellGroupData[{ Cell[CellGroupData[{
Cell[33081, 994, 210, 3, 29, "Input",ExpressionUUID->"1b485785-b18a-41cd-ae3f-e08589cba70c"], Cell[33115, 993, 210, 3, 29, "Input",ExpressionUUID->"1b485785-b18a-41cd-ae3f-e08589cba70c"],
Cell[33294, 999, 3454, 64, 376, "Output",ExpressionUUID->"4132ca7b-24a6-4589-bb4c-d5b579b34549"] Cell[33328, 998, 3478, 65, 376, "Output",ExpressionUUID->"22cb1e0b-7fa9-4a36-950e-b730f0550200"]
}, Open ]] }, Open ]]
} }
] ]