Le pagine interattive
Grado e verso: due grandezze, non due nomi
La carica topologica m conta i giri netti della fase
attorno a una cella: e’ il grado, ed e’ un intero. La
chiralità confronta quanta potenza gira in un verso rispetto
all’altro: e’ la mano, ed e’ continua. Si proietta
l’anello di vicini sulle armoniche azimutali
Aℓ = ∮ u(φ)
e−iℓφ dφ e se ne confrontano le potenze:
χℓ = (P(+ℓ) − P(−ℓ)) /
(P(+ℓ) + P(−ℓ)). Un campo con m = 0
può avere χ ≠ 0: sono i due lati della
scomposizione J = JL + JS della tesi di
Renzini — il grado sta dal lato orbitale, il verso e’
l’analogo dell’elicità. Qui si estraggono i modi da
−2 a +2, e la carica viene tenuta divisa nelle sue due
metà, positiva e negativa.
Dal .tiff, uno strato alla volta
Questa catena non legge nessun file intermedio: ogni acquisizione viene
dal suo .tiff, in ordine temporale, con la stessa
finestra di analisi delle altre catene, e diventa un file. Finita la
sequenza, i file si rileggono da disco e si impilano in un volume
(epoca, riga, colonna) di 43 × 86 × 368: e’ da
quel volume che si rigenera la pagina 3D. Il cambio di sorgente e’
verificato sul risultato e non dato per buono: la persistenza della carica
torna identica alla catena che legge i CSV — 96 coordinate al
raggio 1 e 113 al raggio 2, gli stessi numeri.
Senza la parte immaginaria non c’e’ mano
Per un campo reale vale A−ℓ =
A*+ℓ, quindi le due potenze modali sono uguali e
χ e’ nullo per costruzione. Non e’ una nota a
margine: dice che la grandezza misurata non e’ l’ampiezza
travestita. Il programma lo misura sullo strato vero, rifacendo il
conto sul solo I e sul solo Q: |χ| massimo 0,00e+00
su 31 648 celle, a entrambi i raggi e a entrambi gli ordini.
E regge su SLC grezzi per la stessa ragione per cui ci regge il grado: uno
schermo di fase liscio — offset di prodotto, rampa orbitale, atmosfera,
topografia — e’ sull’anello un gradiente lineare, e il suo
sviluppo in armoniche di Bessel dà P(+1) = P(−1) al
prim’ordine: una rampa non ha mano. La protezione e’ del
prim’ordine, quindi va misurata: la taratura sintetica inietta speckle,
rampa e rumore e rilegge il verso a ogni stadio. Il test dello
specchio — riflettere manda φ in
−φ, quindi χ in
−χ — e’ definitorio, e passa a ogni
prova.
I numeri della corsa
| strati letti dai .tiff | 43 — uno per acquisizione, in ordine temporale |
| volume ri-impilato | 43 × 86 × 368 = 31648 coordinate per epoca |
| modi azimutali estratti | ℓ = -2, -1, +1, +2 |
| taratura su vortici sintetici | 40 letture corrette su 40 — compreso il test dello specchio |
| |χ| senza quadratura (solo I, solo Q) | 0.00e+00 — un campo reale non ha mano |
| soglia operativa sul verso | s ≥ 28 epoche su 43 |
| coordinate che tengono il verso | 594 |
| attese dal caso a parita' di densita' e profilo | 7.28 |
| eccesso sul caso | 82 volte (z = +205) |
| celle con mano definita, |χ| ≥ 0.25 | 0.712 |
| verso delle coordinate estratte | 290 destrorse, 304 sinistrorse |
| percentile di ampiezza delle coordinate | 0.651 contro 0.500 della mappa |
| sull'impronta a base quadrata delle piramidi | 16 su 594 (0.027 contro 0.068 della mappa) |
| le due meta' della carica, raggio 2 | densita' 0.286 per m > 0 e 0.291 per m < 0 |
Che cosa dicono i dati
Il verso tiene molto piu’ di quanto il caso spieghi: 594 coordinate su 31 648 conservano la stessa mano in almeno 28 epoche su 43, contro 7,3 attese dal nullo — che non e’ una simulazione ma gli stessi strati traslati ciclicamente lungo le sole colonne, cosi’ che densità e profilo per riga restino quelli veri. Il bilancio fra le due mani e’ quasi pari: 290 destrorse e 304 sinistrorse.
Due cose vanno lette insieme al numero. Le coordinate
estratte stanno in alto nell’ampiezza (percentile medio 0,65
contro 0,50 della mappa): la mano si legge meglio dove c’e’
segnale, ed e’ un limite della misura, non un risultato. E non
cadono sulle piramidi: 16 su 594, cioe’ 0,027 contro lo 0,068 che
toccherebbe a una distribuzione uniforme. Il verso e’ una
proprietà del campo in quel punto, e su questi dati non seleziona il
bersaglio.
L’aggancio ai materiali — l’idea che un reticolo attraversato lasci una firma chirale, come in polarimetria — resta un’ipotesi da tarare su bersagli noti, non un fatto. Quello che qui e’ misurato e’ un canale in piu’ — verso: destrorso, sinistrorso, assente — accanto a frequenza e intensita’. La risoluzione della cella radar non cambia.
I dati
I riassunti della corsa sono dentro questa pagina, non in file da scaricare a parte: sono gli stessi da cui vengono i numeri della tabella qui sopra.
La relazione completa, con la taratura e i controlli — relazione.txt, 10 KB
============================================================================
CHIRALITA' SPAZIALE +-l DEL CAMPO SLC, STRATO PER STRATO
============================================================================
strati letti dai .tiff : 43 (20260103 -> 20260901)
satelliti : S1A, S1C, S1D
griglia interna : 86 righe x 368 colonne = 31648 coordinate
sorgente : i .tiff, in ordine temporale (nessun CSV intermedio)
geometria azimutale : anelli di vicini entro 2 pixel
modi azimutali : l = -2, -1, +1, +2 (il modo 0 e' tolto come media pesata)
----------------------------------------------------------------------------
CHE COSA MISURA, E PERCHE' NON E' LA CARICA
----------------------------------------------------------------------------
La carica topologica m conta i giri NETTI della fase attorno alla
cella: e' il GRADO, ed e' un intero. La chiralita' confronta quanta
potenza gira in un verso rispetto all'altro: e' la MANO, ed e'
continua. Un campo con m = 0 puo' avere chi diverso da zero. Sono i
due lati della scomposizione J = J_L + J_S (Renzini, Cap. 2-4): il
grado sta dal lato orbitale, il verso e' l'analogo dell'elicita'.
----------------------------------------------------------------------------
TARATURA SU VORTICI SINTETICI A MANO NOTA (Ch. 8, sez. 5)
----------------------------------------------------------------------------
modo l = 1
verso iniettato stadio chi r1 chi r2 segno
+l destrorso 1_puro 1.0000 1.0000 ok
+l destrorso 2_speckle 0.9711 0.9525 ok
+l destrorso 3_rampa 0.9725 0.9502 ok
+l destrorso 4_rumore 0.9944 0.8333 ok
+l destrorso 5_specchio -0.9944 -0.8333 ok
-l sinistrorso 1_puro -1.0000 -1.0000 ok
-l sinistrorso 2_speckle -0.9822 -0.9773 ok
-l sinistrorso 3_rampa -0.9831 -0.9839 ok
-l sinistrorso 4_rumore -0.9629 -0.9672 ok
-l sinistrorso 5_specchio 0.9629 0.9672 ok
modo l = 2
verso iniettato stadio chi r1 chi r2 segno
+l destrorso 1_puro 1.0000 0.9951 ok
+l destrorso 2_speckle 0.9978 0.9860 ok
+l destrorso 3_rampa 0.9989 0.9831 ok
+l destrorso 4_rumore 0.9987 0.9209 ok
+l destrorso 5_specchio -0.9987 -0.9209 ok
-l sinistrorso 1_puro -1.0000 -0.9951 ok
-l sinistrorso 2_speckle -0.9943 -0.9902 ok
-l sinistrorso 3_rampa -0.9951 -0.9913 ok
-l sinistrorso 4_rumore -0.9199 -0.9862 ok
-l sinistrorso 5_specchio 0.9199 0.9862 ok
40 letture corrette su 40. Lo stadio 5 e' il TEST
DELLO SPECCHIO: riflettendo il campo, chi deve cambiare segno
esattamente. E' definitorio -- se non inverte, non e' chiralita'.
----------------------------------------------------------------------------
SENZA LA PARTE IMMAGINARIA NON C'E' MANO (F72)
----------------------------------------------------------------------------
Per un campo reale A(-l) e' il coniugato di A(+l), quindi le due
potenze modali sono uguali e chi e' nullo per costruzione. Lo stesso
strato vero, letto in tre modi:
campo raggio l |chi| medio |chi| max
complesso I+jQ 1 1 4.835e-01 1.000e+00
complesso I+jQ 1 2 4.933e-01 1.000e+00
complesso I+jQ 2 1 4.801e-01 9.999e-01
complesso I+jQ 2 2 5.014e-01 1.000e+00
solo parte reale I 1 1 0.000e+00 0.000e+00
solo parte reale I 1 2 0.000e+00 0.000e+00
solo parte reale I 2 1 0.000e+00 0.000e+00
solo parte reale I 2 2 0.000e+00 0.000e+00
solo parte immaginaria Q 1 1 0.000e+00 0.000e+00
solo parte immaginaria Q 1 2 0.000e+00 0.000e+00
solo parte immaginaria Q 2 1 0.000e+00 0.000e+00
solo parte immaginaria Q 2 2 0.000e+00 0.000e+00
L'ampiezza da sola non ha mano: il verso vive nella quadratura, ed e'
per questo che va misurato sul campo complesso e non sul modulo.
----------------------------------------------------------------------------
VERSO l = 1, ANELLO DI RAGGIO 1 PIXEL (8 vicini)
----------------------------------------------------------------------------
celle con mano definita (|chi| >= 0.25) 0.7206
|chi| medio su tutte le celle e le date 0.4754
sbilanciamento medio del segno di chi +0.0000
---
soglia operativa (falsi attesi < 5%) s >= 26
coordinate che tengono il verso 1515
attese dal caso (traslazione in colonna) 74.1 +- 9.40
eccesso sul caso 20.45 volte (z = +153.3)
----------------------------------------------------------------------------
VERSO l = 2, ANELLO DI RAGGIO 1 PIXEL (8 vicini)
----------------------------------------------------------------------------
celle con mano definita (|chi| >= 0.25) 0.7408
|chi| medio su tutte le celle e le date 0.4946
sbilanciamento medio del segno di chi -0.0020
---
soglia operativa (falsi attesi < 5%) s >= 28
coordinate che tengono il verso 947
attese dal caso (traslazione in colonna) 12.1 +- 3.12
eccesso sul caso 78.26 volte (z = +299.4)
----------------------------------------------------------------------------
VERSO l = 1, ANELLO DI RAGGIO 2 PIXEL (16 vicini)
----------------------------------------------------------------------------
celle con mano definita (|chi| >= 0.25) 0.7120
|chi| medio su tutte le celle e le date 0.4710
sbilanciamento medio del segno di chi -0.0023
---
soglia operativa (falsi attesi < 5%) s >= 28
coordinate che tengono il verso 594
attese dal caso (traslazione in colonna) 7.3 +- 2.87
eccesso sul caso 81.59 volte (z = +204.6)
----------------------------------------------------------------------------
VERSO l = 2, ANELLO DI RAGGIO 2 PIXEL (16 vicini)
----------------------------------------------------------------------------
celle con mano definita (|chi| >= 0.25) 0.7411
|chi| medio su tutte le celle e le date 0.4984
sbilanciamento medio del segno di chi +0.0004
---
soglia operativa (falsi attesi < 5%) s >= 26
coordinate che tengono il verso 2101
attese dal caso (traslazione in colonna) 99.5 +- 10.34
eccesso sul caso 21.12 volte (z = +193.6)
----------------------------------------------------------------------------
LE DUE META' DELLA CARICA, POSITIVA E NEGATIVA
----------------------------------------------------------------------------
raggio densita' m>0 densita' m<0 carica media coordinate
persistenti
1 0.1981 0.2010 -0.00316 96 (s >= 22, caso 3.3)
2 0.2862 0.2906 -0.00633 113 (s >= 26, caso 2.7)
Le due densita' quasi si pareggiano, come deve essere: un campo senza
mano preferita produce tanti vortici destrorsi quanti sinistrorsi, e
la carica media e' cio' che resta di quel pareggio.
QUESTA TABELLA E' ANCHE IL CONTROLLO DEL CAMBIO DI SORGENTE: la stessa
statistica, calcolata da forma_onda_3d.py sui CSV di
esporta_pixel_complessi.py invece che dai .tiff, da' 96 coordinate a
s >= 22 sul raggio 1 e 113 a s >= 26 sul raggio 2. Sono gli stessi
numeri: leggere il prodotto direttamente non ha cambiato il risultato,
ha tolto una copia.
----------------------------------------------------------------------------
L'ELENCO CONSEGNATO (l = 1, raggio 2)
----------------------------------------------------------------------------
coordinate : 594 (290 destrorse, 304 sinistrorse)
percentile di ampiezza medio : 0.651 (mappa intera: 0.500)
sull'impronta delle piramidi : 16 su 594 (0.027 contro 0.068 della mappa)
riga colonna verso s_chi chi medio ampiezza%
79 318 destro 38 0.6098 0.931
12 280 sinistro 38 -0.5620 0.847
46 294 destro 37 0.5828 0.572
23 354 destro 37 0.5364 0.783
47 4 destro 36 0.6105 0.074
27 307 destro 36 0.5197 0.825
45 294 destro 36 0.5120 0.428
39 141 destro 35 0.6076 0.808
22 149 sinistro 35 -0.5985 0.962
36 80 destro 35 0.5823 0.774
37 12 destro 35 0.5590 0.848
19 149 sinistro 35 -0.5557 0.989
... e altre 582 nel CSV
============================================================================
CONCLUSIONE
============================================================================
Si'. Il verso dello spin -- la mano della rotazione azimutale --
non e' rumore di speckle: le coordinate che lo tengono per piu'
di 28 date su 43 sono 81.59 volte quelle attese dal caso a
parita' di densita' (z = +204.6), e il caso e' misurato
traslando gli stessi strati, non simulandoli.
Il verso per singola coordinata sta nel CSV della griglia; la
rappresentazione 3D e' il volume degli strati ri-impilati.
Le coordinate che tengono il verso, una per riga, con la geocodifica — punti_chirali.csv, 55 KB
riga,colonna,linea,pixel,verso,s_chi,n_destro,n_sinistro,chi_medio,chi_assoluto_medio,frazione_con_mano,n_carica_positiva,n_carica_negativa,s_carica,m_netto,percentile_ampiezza,su_piramide,piramide,lat,lon 79,318,4420,2209,1,38,38,3,0.6098,0.7071,0.9535,15,7,15,0.2093,0.9312,0,,29.980833,31.135746 12,280,4353,2171,-1,38,2,38,-0.562,0.62,0.9302,3,24,24,-0.6512,0.8474,0,,29.973241,31.13581 46,294,4387,2185,1,37,37,0,0.5828,0.5888,0.8605,9,11,11,-0.0465,0.5719,0,,29.97706,31.135568 23,354,4364,2245,1,37,37,2,0.5364,0.5753,0.907,4,20,20,-0.4419,0.7833,0,,29.974917,31.138479 47,4,4388,1895,1,36,36,1,0.6105,0.6588,0.8605,12,7,12,0.1163,0.0736,0,,29.975332,31.124075 27,307,4368,2198,1,36,36,4,0.5197,0.6079,0.9302,9,14,14,-0.1395,0.8247,0,,29.975058,31.136527 45,294,4386,2185,1,36,36,2,0.512,0.5696,0.8837,11,8,11,0.093,0.4281,0,,29.976951,31.135592 39,141,4380,2032,1,35,35,2,0.6076,0.655,0.8605,6,16,16,-0.2326,0.8081,0,,29.975323,31.129681 22,149,4363,2040,-1,35,2,35,-0.5985,0.6447,0.8605,20,7,20,0.3721,0.9619,0,,29.973508,31.130395 36,80,4377,1971,1,35,35,0,0.5823,0.5845,0.814,13,9,13,0.093,0.7737,0,,29.974607,31.127338 37,12,4378,1903,1,35,35,3,0.559,0.672,0.8837,15,6,15,0.2326,0.8481,0,,29.974286,31.124626 19,149,4360,2040,-1,35,6,35,-0.5557,0.7403,0.9535,7,17,17,-0.3023,0.9889,0,,29.973179,31.130466 34,178,4375,2069,-1,35,3,35,-0.5368,0.6096,0.8837,14,10,14,0.1163,0.7383,0,,29.975009,31.131261 32,174,4373,2065,1,35,35,3,0.5352,0.6528,0.8837,12,11,12,0.0,0.9622,0,,29.974764,31.13115 33,88,4374,1979,1,35,35,6,0.5149,0.7045,0.9535,6,18,18,-0.3023,0.645,0,,29.974329,31.127725 28,24,4369,1915,1,35,35,5,0.4688,0.6297,0.9302,11,12,12,-0.0465,0.6003,0,,29.973374,31.125311 19,150,4360,2041,-1,35,5,35,-0.4652,0.6185,0.9302,7,19,19,-0.3023,0.9966,0,,29.973186,31.130505 28,23,4369,1914,1,35,35,5,0.4163,0.5587,0.9302,19,5,19,0.4186,0.8767,0,,29.973368,31.125272 15,3,4356,1894,1,35,35,5,0.3925,0.5316,0.9302,12,16,16,0.0233,0.0111,0,,29.971815,31.124786 29,24,4370,1915,1,34,34,4,0.5504,0.6659,0.8837,9,14,14,-0.1628,0.9546,0,,29.973484,31.125288 36,161,4377,2052,1,34,34,3,0.5476,0.6781,0.8605,17,10,17,0.186,0.8361,0,,29.97512,31.130542 64,357,4405,2248,-1,34,3,34,-0.5318,0.6464,0.8605,7,17,17,-0.3256,0.849,0,,29.979434,31.137639 44,283,4385,2174,-1,34,2,34,-0.526,0.607,0.8372,5,19,19,-0.3721,0.1491,0,,29.976771,31.13518 30,182,4371,2073,1,34,34,3,0.5001,0.5723,0.8605,14,11,14,0.093,0.8182,0,,29.974595,31.131513 33,178,4374,2069,-1,34,3,34,-0.4906,0.5958,0.8605,15,11,15,0.1628,0.7669,0,,29.974899,31.131285 32,78,4373,1969,-1,34,4,34,-0.4868,0.6266,0.8837,13,13,13,0.0233,0.9901,0,,29.974155,31.127353 80,318,4421,2209,1,34,34,3,0.4825,0.603,0.8605,15,5,15,0.2093,0.7395,0,,29.980942,31.135722 35,141,4376,2032,1,34,34,4,0.4785,0.6061,0.8837,6,16,16,-0.2326,0.8257,0,,29.974884,31.129774 30,369,4371,2260,1,34,34,4,0.4524,0.5551,0.8837,11,10,11,0.0465,0.856,0,,29.97578,31.138908 23,352,4364,2243,-1,34,2,34,-0.4512,0.5244,0.8372,21,10,21,0.3256,0.9223,0,,29.974904,31.1384 35,174,4376,2065,1,34,34,6,0.4335,0.5634,0.9302,12,9,12,0.1163,0.8221,0,,29.975093,31.13108 78,197,4419,2088,-1,34,5,34,-0.4166,0.549,0.907,12,18,18,-0.2093,0.6169,0,,29.979956,31.130983 6,142,4347,2033,-1,34,3,34,-0.4058,0.4935,0.8605,17,17,17,-0.0698,0.0286,0,,29.971709,31.130493 45,308,4386,2199,-1,33,2,33,-0.5262,0.6085,0.814,8,8,8,0.0,0.7266,0,,29.977039,31.136145 27,15,4368,1906,-1,33,3,33,-0.5128,0.6141,0.8372,9,9,9,0.0465,0.5699,0,,29.973208,31.124979 44,215,4385,2106,1,33,33,5,0.5096,0.6048,0.8837,8,10,10,-0.1163,0.2185,0,,29.97634,31.13249 38,326,4379,2217,1,33,33,3,0.5035,0.6043,0.8372,13,15,15,-0.1163,0.9535,0,,29.976385,31.137021 78,318,4419,2209,1,33,33,3,0.5023,0.6027,0.8372,16,6,16,0.2326,0.9626,0,,29.980723,31.135769 42,243,4383,2134,-1,33,3,33,-0.5007,0.626,0.8372,17,8,17,0.3023,0.6483,0,,29.976298,31.133645 44,366,4385,2257,-1,33,3,33,-0.4841,0.5828,0.8372,11,14,14,-0.0465,0.9006,0,,29.977297,31.138463 87,178,4428,2069,1,33,33,5,0.4816,0.6131,0.8837,17,8,17,0.2326,0.7278,0,,29.980823,31.13002 30,179,4371,2070,-1,33,4,33,-0.4736,0.5401,0.8605,22,9,22,0.3953,0.9637,0,,29.974576,31.131394 19,153,4360,2044,1,33,33,4,0.4655,0.5913,0.8605,9,15,15,-0.1628,0.9803,0,,29.973205,31.130624 34,326,4375,2217,1,33,33,4,0.4645,0.5537,0.8605,2,18,18,-0.3721,0.8859,0,,29.975947,31.137114 30,322,4371,2213,-1,33,3,33,-0.4618,0.5445,0.8372,9,7,9,0.1163,0.7761,0,,29.975482,31.13705 26,15,4367,1906,-1,33,6,33,-0.461,0.6262,0.907,10,9,10,0.1163,0.1689,0,,29.973098,31.125002 86,42,4427,1933,-1,33,6,33,-0.4606,0.6106,0.907,6,18,18,-0.3023,0.1846,0,,29.979851,31.124663 87,181,4428,2072,-1,33,6,33,-0.4483,0.5829,0.907,16,8,16,0.2093,0.8533,0,,29.980842,31.130139 84,183,4425,2074,1,33,33,3,0.4474,0.5495,0.8372,13,7,13,0.093,0.7634,0,,29.980525,31.130288 29,19,4370,1910,1,33,33,4,0.4449,0.5308,0.8605,7,15,15,-0.2093,0.7046,0,,29.973452,31.12509 46,227,4387,2118,-1,33,4,33,-0.4311,0.5682,0.8605,17,9,17,0.2791,0.9013,0,,29.976636,31.132918 45,309,4386,2200,-1,33,2,33,-0.4261,0.527,0.814,8,9,9,0.0,0.9787,0,,29.977046,31.136185 32,77,4373,1968,-1,33,8,33,-0.3905,0.6968,0.9535,10,14,14,-0.0465,0.9827,0,,29.974149,31.127314 62,239,4403,2130,-1,33,8,33,-0.3854,0.5851,0.9535,10,9,10,0.0698,0.7344,1,Cheope (Khufu),29.978467,31.133018 33,322,4374,2213,-1,33,3,33,-0.3769,0.5082,0.8372,4,15,15,-0.3023,0.8064,0,,29.975811,31.13698 35,80,4376,1971,1,32,32,0,0.5764,0.5942,0.7442,15,8,15,0.1395,0.676,0,,29.974497,31.127362 40,141,4381,2032,1,32,32,1,0.513,0.5634,0.7674,5,11,11,-0.186,0.9598,0,,29.975432,31.129657 32,181,4373,2072,1,32,32,4,0.4824,0.5887,0.8372,17,5,17,0.3023,0.7536,0,,29.974808,31.131427 41,325,4382,2216,-1,32,5,32,-0.4817,0.6093,0.8605,7,18,18,-0.2558,0.4788,0,,29.976708,31.136911 18,149,4359,2040,-1,32,2,32,-0.4807,0.561,0.7907,9,15,15,-0.2093,0.4099,0,,29.97307,31.130489 30,24,4371,1915,1,32,32,6,0.4804,0.6862,0.8837,13,7,13,0.1163,0.9775,0,,29.973594,31.125264 49,232,4390,2123,1,32,32,3,0.4741,0.6075,0.814,21,8,21,0.3256,0.6218,0,,29.976996,31.133046 47,343,4388,2234,1,32,32,4,0.4738,0.6036,0.8372,9,21,21,-0.3256,0.4303,0,,29.97748,31.137483 29,369,4370,2260,1,32,32,1,0.4711,0.5062,0.7674,10,14,14,-0.093,0.8265,0,,29.97567,31.138932 19,230,4360,2121,1,32,32,4,0.4672,0.611,0.8372,15,7,15,0.1628,0.4643,0,,29.973693,31.133669 44,268,4385,2159,-1,32,4,32,-0.4653,0.6014,0.8372,11,15,15,-0.186,0.8101,0,,29.976676,31.134587 80,31,4421,1922,1,32,32,1,0.4588,0.5037,0.7674,23,5,23,0.4884,0.8975,0,,29.979123,31.124369 29,182,4370,2073,1,32,32,2,0.4459,0.522,0.7907,12,13,13,-0.093,0.9388,0,,29.974485,31.131536 40,271,4381,2162,1,32,32,6,0.4442,0.5582,0.8837,16,8,16,0.3023,0.9641,0,,29.976256,31.134799 48,274,4389,2165,1,32,32,3,0.444,0.5614,0.814,16,12,16,0.093,0.6619,0,,29.977153,31.13473 37,19,4378,1910,1,32,32,4,0.4422,0.553,0.8372,15,11,15,0.0698,0.3385,0,,29.97433,31.124902 87,92,4428,1983,1,32,32,8,0.4355,0.6399,0.9302,15,5,15,0.3023,0.218,0,,29.980278,31.126618 37,81,4378,1972,1,32,32,4,0.4325,0.5542,0.8372,18,7,18,0.3023,0.5528,0,,29.974723,31.127355 44,274,4385,2165,1,32,32,3,0.4316,0.5471,0.814,17,7,17,0.2558,0.8312,0,,29.976714,31.134824 46,302,4387,2193,-1,32,1,32,-0.4311,0.5076,0.7674,14,8,14,0.186,0.6072,0,,29.977111,31.135885 33,78,4374,1969,-1,32,7,32,-0.4298,0.6366,0.907,9,17,17,-0.2326,0.9991,0,,29.974265,31.12733 34,306,4375,2197,1,32,32,5,0.4295,0.5869,0.8605,18,7,18,0.3023,0.9727,0,,29.97582,31.136323 41,134,4382,2025,-1,32,5,32,-0.4273,0.579,0.8605,8,24,24,-0.3953,0.3976,0,,29.975498,31.129357 79,317,4420,2208,1,32,32,6,0.4267,0.5769,0.8837,12,6,12,0.2093,0.9098,0,,29.980826,31.135706 30,304,4371,2195,-1,32,3,32,-0.4249,0.5262,0.814,6,16,16,-0.2326,0.6591,0,,29.975368,31.136338 31,21,4372,1912,-1,32,6,32,-0.423,0.6137,0.8837,23,6,23,0.4419,0.9926,0,,29.973685,31.125122 21,127,4362,2018,1,32,32,4,0.4207,0.5196,0.8372,9,10,10,0.0,0.1487,0,,29.973259,31.129549 78,40,4419,1931,1,32,32,5,0.4189,0.5601,0.8605,9,10,10,0.0,0.7468,0,,29.978961,31.124772 31,307,4372,2198,1,32,32,3,0.3927,0.5125,0.814,5,17,17,-0.2558,0.8276,0,,29.975497,31.136433 53,230,4394,2121,1,32,32,5,0.3925,0.5521,0.8605,16,6,16,0.2791,0.4205,0,,29.977423,31.132873 31,233,4372,2124,1,32,32,7,0.392,0.5487,0.907,17,8,17,0.2558,0.3778,0,,29.975028,31.133507 71,353,4412,2244,-1,32,6,32,-0.3912,0.5465,0.8837,9,16,16,-0.0698,0.9767,0,,29.980177,31.137317 37,266,4378,2157,-1,32,8,32,-0.3845,0.5851,0.9302,12,16,16,-0.093,0.6087,0,,29.975895,31.134671 14,138,4355,2029,-1,32,7,32,-0.3771,0.59,0.907,7,21,21,-0.3256,0.2822,0,,29.972561,31.130148 44,270,4385,2161,-1,32,6,32,-0.371,0.5316,0.8837,9,13,13,-0.0698,0.9184,0,,29.976689,31.134666 81,30,4422,1921,1,32,32,3,0.3681,0.4698,0.814,19,5,19,0.3953,0.7181,0,,29.979227,31.124306 22,150,4363,2041,-1,32,4,32,-0.3626,0.4963,0.8372,20,9,20,0.2558,0.9858,0,,29.973515,31.130435 48,312,4389,2203,-1,32,6,32,-0.3465,0.5612,0.8837,12,9,12,0.0698,0.8271,0,,29.977394,31.136233 29,21,4370,1912,-1,32,7,32,-0.328,0.5974,0.907,12,13,13,-0.0233,0.9645,0,,29.973465,31.125169 21,153,4362,2044,1,31,31,0,0.5333,0.546,0.7209,4,28,28,-0.6512,0.9505,0,,29.973424,31.130577 45,345,4386,2236,-1,31,3,31,-0.5025,0.5704,0.7907,16,9,16,0.1628,0.5329,0,,29.977274,31.137609 48,240,4389,2131,-1,31,3,31,-0.4996,0.5701,0.7907,15,13,15,0.0465,0.7328,0,,29.976937,31.133386 65,357,4406,2248,-1,31,4,31,-0.4888,0.6206,0.814,13,11,13,0.0465,0.7851,0,,29.979544,31.137616 64,358,4405,2249,-1,31,4,31,-0.4743,0.6158,0.814,4,25,25,-0.6977,0.5468,0,,29.979441,31.137679 32,166,4373,2057,-1,31,2,31,-0.4671,0.5491,0.7674,15,10,15,0.1395,0.8995,0,,29.974713,31.130833 36,81,4377,1972,1,31,31,3,0.467,0.5336,0.7907,20,5,20,0.4419,0.2843,0,,29.974613,31.127378 50,60,4391,1951,-1,31,5,31,-0.461,0.598,0.8372,8,17,17,-0.1628,0.2817,0,,29.976016,31.126219 43,283,4384,2174,-1,31,5,31,-0.4606,0.6288,0.8372,11,14,14,-0.093,0.141,0,,29.976661,31.135203 45,346,4386,2237,-1,31,5,31,-0.4596,0.5861,0.8372,13,15,15,-0.1163,0.8367,0,,29.97728,31.137648 38,171,4379,2062,-1,31,4,31,-0.4586,0.5531,0.814,8,11,11,-0.0698,0.3296,1,Chefren (Khafre),29.975403,31.130891 33,81,4374,1972,1,31,31,7,0.4583,0.6668,0.8837,16,9,16,0.2791,0.8746,0,,29.974284,31.127448 81,322,4422,2213,-1,31,3,31,-0.4564,0.5365,0.7907,7,18,18,-0.2558,0.2722,0,,29.981077,31.135857 22,145,4363,2036,-1,31,6,31,-0.4561,0.6614,0.8605,12,16,16,-0.1163,0.3443,0,,29.973483,31.130237 86,181,4427,2072,-1,31,6,31,-0.4522,0.6029,0.8605,12,11,12,0.0233,0.8746,0,,29.980732,31.130162 28,15,4369,1906,-1,31,2,31,-0.4514,0.5211,0.7674,10,12,12,-0.0233,0.6622,0,,29.973317,31.124955 38,327,4379,2218,1,31,31,5,0.4485,0.5607,0.8372,5,15,15,-0.2558,0.758,0,,29.976392,31.13706 87,177,4428,2068,1,31,31,4,0.4485,0.613,0.814,13,14,14,0.0,0.4637,0,,29.980817,31.129981 70,354,4411,2245,-1,31,4,31,-0.4476,0.5429,0.814,14,12,14,0.0465,0.6279,0,,29.980073,31.13738 35,147,4376,2038,-1,31,4,31,-0.4436,0.5621,0.814,9,2,9,0.186,0.521,0,,29.974922,31.130012 41,208,4382,2099,1,31,31,4,0.4419,0.5679,0.814,15,13,15,0.0465,0.817,0,,29.975967,31.132284 53,61,4394,1952,1,31,31,6,0.4412,0.5759,0.8605,19,3,19,0.4651,0.1193,0,,29.976351,31.126188 83,181,4424,2072,-1,31,5,31,-0.4401,0.5723,0.8372,17,7,17,0.2558,0.9117,0,,29.980403,31.130232 46,266,4387,2157,1,31,31,3,0.4397,0.5659,0.7907,14,12,14,0.0465,0.756,0,,29.976883,31.134461 39,30,4380,1921,-1,31,5,31,-0.4359,0.5722,0.8372,17,9,17,0.2791,0.3268,0,,29.974619,31.125291 35,89,4376,1980,1,31,31,5,0.4314,0.5867,0.8372,9,16,16,-0.1628,0.6515,0,,29.974554,31.127718 48,232,4389,2123,1,31,31,5,0.429,0.5831,0.8372,21,9,21,0.3256,0.6606,0,,29.976887,31.133069 34,17,4375,1908,-1,31,1,31,-0.4224,0.4553,0.7442,4,17,17,-0.4186,0.8547,0,,29.973988,31.124894 65,358,4406,2249,-1,31,5,31,-0.4215,0.5553,0.8372,8,20,20,-0.2791,0.8406,0,,29.97955,31.137655 26,350,4367,2241,-1,31,4,31,-0.42,0.5623,0.814,13,11,13,0.0233,0.6248,0,,29.975221,31.138251 39,10,4380,1901,-1,31,2,31,-0.4192,0.5004,0.7674,10,14,14,-0.093,0.552,0,,29.974492,31.1245 37,11,4378,1902,1,31,31,6,0.4183,0.5841,0.8605,6,17,17,-0.3256,0.9531,0,,29.974279,31.124586 81,31,4422,1922,1,31,31,2,0.4182,0.4524,0.7674,22,2,22,0.5116,0.9957,0,,29.979233,31.124345 79,319,4420,2210,1,31,31,6,0.4176,0.5732,0.8605,14,5,14,0.186,0.908,0,,29.980839,31.135785 28,325,4369,2216,-1,31,4,31,-0.4161,0.5482,0.814,6,10,10,-0.1163,0.9459,0,,29.975282,31.137215 71,354,4412,2245,-1,31,4,31,-0.4161,0.5329,0.814,7,17,17,-0.2093,0.714,0,,29.980183,31.137357 31,322,4372,2213,-1,31,3,31,-0.4133,0.5304,0.7907,11,9,11,0.1163,0.9145,0,,29.975592,31.137026 12,299,4353,2190,1,31,31,3,0.4132,0.502,0.7907,15,13,15,0.093,0.799,0,,29.973362,31.136561 43,309,4384,2200,-1,31,2,31,-0.4132,0.4801,0.7674,7,8,8,-0.0233,0.8067,0,,29.976826,31.136232 20,230,4361,2121,1,31,31,6,0.412,0.5992,0.8605,17,10,17,0.2791,0.4985,0,,29.973802,31.133645 62,364,4403,2255,-1,31,6,31,-0.4117,0.554,0.8605,12,11,12,0.0465,0.6017,0,,29.979259,31.137963 78,41,4419,1932,1,31,31,5,0.4103,0.5536,0.8372,7,6,7,0.0,0.6609,0,,29.978967,31.124811 18,153,4359,2044,1,31,31,4,0.4095,0.5243,0.814,8,19,19,-0.3023,0.8751,0,,29.973095,31.130647 30,23,4371,1914,1,31,31,5,0.408,0.6057,0.8372,17,5,17,0.2791,0.997,0,,29.973587,31.125225 30,21,4371,1912,-1,31,6,31,-0.4069,0.6142,0.8605,20,6,20,0.3721,0.9989,0,,29.973575,31.125146 70,210,4411,2101,1,31,31,6,0.403,0.5603,0.8605,16,8,16,0.2791,0.176,0,,29.979161,31.131684 32,151,4373,2042,-1,31,7,31,-0.4028,0.6045,0.8837,11,19,19,-0.2558,0.9156,0,,29.974618,31.13024 78,196,4419,2087,-1,31,7,31,-0.3965,0.6019,0.8837,12,16,16,-0.093,0.5959,0,,29.97995,31.130943 36,361,4377,2252,-1,31,4,31,-0.3927,0.5175,0.814,11,12,12,-0.0465,0.7844,0,,29.976388,31.138452 34,115,4375,2006,1,31,31,4,0.3914,0.5468,0.814,12,11,12,-0.0698,0.1862,0,,29.974609,31.12877 18,230,4359,2121,1,31,31,7,0.39,0.6255,0.8837,13,13,13,0.0465,0.3583,0,,29.973583,31.133692 47,300,4388,2191,1,31,31,9,0.3798,0.6752,0.9302,19,8,19,0.3256,0.2535,0,,29.977208,31.135782 29,318,4370,2209,1,31,31,7,0.3742,0.5295,0.8837,21,4,21,0.5581,0.4039,0,,29.975347,31.136915 79,200,4420,2091,1,31,31,5,0.372,0.5866,0.8372,15,8,15,0.2093,0.7361,0,,29.980085,31.131078 80,30,4421,1921,1,31,31,5,0.3708,0.5768,0.8372,19,5,19,0.3721,0.7666,0,,29.979117,31.124329 11,279,4352,2170,-1,31,5,31,-0.3672,0.5519,0.8372,8,22,22,-0.4884,0.9764,0,,29.973125,31.135794 33,147,4374,2038,-1,31,7,31,-0.3671,0.5445,0.8837,5,21,21,-0.3721,0.8249,0,,29.974702,31.130059 22,153,4363,2044,1,31,31,3,0.3666,0.4445,0.7907,5,26,26,-0.5581,0.9496,0,,29.973534,31.130553 81,15,4422,1906,-1,31,4,31,-0.3665,0.499,0.814,8,16,16,-0.2326,0.8703,0,,29.979131,31.123712 11,280,4352,2171,-1,31,3,31,-0.3656,0.5149,0.7907,4,29,29,-0.9535,0.5364,0,,29.973132,31.135833 47,240,4388,2131,-1,31,7,31,-0.365,0.5577,0.8837,15,9,15,0.186,0.7582,0,,29.976828,31.133409 47,235,4388,2126,1,31,31,7,0.3638,0.566,0.8837,11,14,14,-0.0698,0.7673,0,,29.976796,31.133211 44,271,4385,2162,-1,31,9,31,-0.3597,0.6374,0.9302,15,7,15,0.2093,0.9857,0,,29.976695,31.134705 33,181,4374,2072,1,31,31,7,0.3594,0.5718,0.8837,11,8,11,0.093,0.7884,0,,29.974918,31.131403 18,338,4359,2229,-1,31,6,31,-0.348,0.5776,0.8605,11,9,11,0.0465,0.5966,0,,29.974267,31.137963 84,185,4425,2076,-1,31,6,31,-0.3393,0.5391,0.8605,1,23,23,-0.6047,0.9358,0,,29.980538,31.130367 35,88,4376,1979,1,31,31,5,0.3379,0.5519,0.8372,4,18,18,-0.3953,0.9977,0,,29.974548,31.127678 63,88,4404,1979,-1,31,8,31,-0.3188,0.5574,0.907,9,15,15,-0.1628,0.2154,0,,29.97762,31.127022 77,358,4418,2249,-1,30,2,30,-0.4796,0.5509,0.7442,4,22,22,-0.5814,0.7602,0,,29.980867,31.137375 47,2,4388,1893,-1,30,5,30,-0.4677,0.6168,0.814,15,11,15,0.0233,0.5637,0,,29.975319,31.123996 39,142,4380,2033,1,30,30,4,0.4663,0.5871,0.7907,8,18,18,-0.2326,0.6478,1,Chefren (Khafre),29.975329,31.12972 42,293,4383,2184,1,30,30,2,0.462,0.5187,0.7442,15,9,15,0.1395,0.297,0,,29.976615,31.135622 36,153,4377,2044,1,30,30,4,0.4558,0.531,0.7907,12,11,12,0.0698,0.6705,0,,29.97507,31.130226 35,153,4376,2044,1,30,30,5,0.4546,0.589,0.814,16,14,16,0.1163,0.7631,0,,29.97496,31.130249 48,2,4389,1893,-1,30,3,30,-0.4483,0.5697,0.7674,18,9,18,0.2791,0.1281,0,,29.975429,31.123972 45,342,4386,2233,1,30,30,6,0.4456,0.6381,0.8372,18,8,18,0.3023,0.6392,0,,29.977255,31.13749 45,257,4386,2148,-1,30,4,30,-0.4449,0.5658,0.7907,12,10,12,0.0698,0.8182,0,,29.976716,31.134128 48,215,4389,2106,1,30,30,3,0.4432,0.5638,0.7674,18,6,18,0.3721,0.401,0,,29.976779,31.132397 81,200,4422,2091,-1,30,5,30,-0.4407,0.583,0.814,12,14,14,-0.093,0.4933,0,,29.980304,31.131031 35,366,4376,2257,-1,30,4,30,-0.4398,0.5819,0.7907,5,12,12,-0.2093,0.3965,0,,29.97631,31.138673 43,231,4384,2122,-1,30,5,30,-0.4372,0.616,0.814,7,20,20,-0.3256,0.5588,0,,29.976332,31.133147 37,327,4378,2218,1,30,30,6,0.435,0.6259,0.8372,11,13,13,0.0,0.8726,0,,29.976282,31.137084 53,262,4394,2153,1,30,30,3,0.4337,0.5505,0.7674,9,11,11,-0.1163,0.8058,0,,29.977625,31.134139 52,271,4393,2162,1,30,30,5,0.4323,0.572,0.814,22,8,22,0.3256,0.738,0,,29.977573,31.134518 50,59,4391,1950,-1,30,5,30,-0.4311,0.5604,0.814,5,25,25,-0.5581,0.2431,0,,29.97601,31.12618 35,161,4376,2052,1,30,30,4,0.4309,0.5904,0.7907,19,6,19,0.4186,0.9459,0,,29.975011,31.130565 8,367,4349,2258,1,30,30,5,0.4299,0.551,0.814,12,10,12,0.1395,0.9466,0,,29.973354,31.139344 49,278,4390,2169,-1,30,7,30,-0.4294,0.6695,0.8605,8,15,15,-0.1628,0.9717,0,,29.977288,31.134865 86,38,4427,1929,1,30,30,4,0.4289,0.525,0.7907,15,9,15,0.186,0.0228,0,,29.979826,31.124505 42,294,4383,2185,1,30,30,5,0.4288,0.5697,0.814,10,8,10,0.093,0.1566,0,,29.976621,31.135662 21,154,4362,2045,1,30,30,3,0.4277,0.5125,0.7674,7,23,23,-0.4186,0.6553,0,,29.97343,31.130616 21,149,4362,2040,-1,30,6,30,-0.4276,0.5579,0.8372,21,8,21,0.2326,0.8907,0,,29.973399,31.130419 41,232,4382,2123,-1,30,5,30,-0.4274,0.5773,0.814,14,9,14,0.1163,0.6804,0,,29.976119,31.133233 78,317,4419,2208,1,30,30,6,0.4255,0.5801,0.8372,13,7,13,0.1395,0.7587,0,,29.980717,31.13573 48,329,4389,2220,-1,30,4,30,-0.4249,0.5348,0.7907,11,16,16,-0.1395,0.3647,0,,29.977501,31.136906 81,197,4422,2088,1,30,30,5,0.4229,0.5845,0.814,18,8,18,0.2326,0.5792,0,,29.980285,31.130912 55,234,4396,2125,-1,30,7,30,-0.4222,0.6535,0.8605,12,13,13,-0.093,0.5967,0,,29.977667,31.132984 35,306,4376,2197,1,30,30,2,0.4215,0.4879,0.7442,14,7,14,0.2326,0.9351,0,,29.975929,31.1363 18,337,4359,2228,-1,30,5,30,-0.4193,0.5952,0.814,17,8,17,0.2558,0.4333,0,,29.974261,31.137923 51,243,4392,2134,-1,30,6,30,-0.4163,0.5746,0.8372,13,9,13,0.1628,0.7216,0,,29.977286,31.133434 35,361,4376,2252,-1,30,5,30,-0.4117,0.5595,0.814,13,11,13,0.0465,0.8421,0,,29.976278,31.138475 17,219,4358,2110,1,30,30,3,0.4083,0.5414,0.7674,15,10,15,0.1395,0.9197,0,,29.973403,31.133281 82,367,4423,2258,-1,30,4,30,-0.4067,0.5335,0.7907,8,13,13,-0.093,0.995,0,,29.981472,31.137614 37,76,4378,1967,1,30,30,6,0.4066,0.5725,0.8372,11,13,13,0.0,0.426,0,,29.974691,31.127157 38,170,4379,2061,-1,30,4,30,-0.406,0.5075,0.7907,10,18,18,-0.2326,0.349,1,Chefren (Khafre),29.975397,31.130851 82,200,4423,2091,-1,30,8,30,-0.4026,0.6419,0.8837,11,16,16,-0.1163,0.1881,0,,29.980414,31.131008 21,351,4362,2242,1,30,30,5,0.4019,0.5655,0.814,12,10,12,0.1163,0.3433,0,,29.974679,31.138407 34,182,4375,2073,1,30,30,5,0.4019,0.5764,0.814,9,12,12,-0.1395,0.8259,0,,29.975034,31.131419 85,183,4426,2074,1,30,30,4,0.4019,0.5171,0.7907,12,10,12,0.0,0.9103,0,,29.980635,31.130265 43,269,4384,2160,-1,30,4,30,-0.4012,0.5126,0.7907,12,9,12,0.093,0.947,0,,29.976573,31.13465 52,254,4393,2145,-1,30,5,30,-0.4011,0.5313,0.814,9,12,12,-0.0465,0.9492,0,,29.977465,31.133846 70,355,4411,2246,-1,30,5,30,-0.3985,0.5728,0.814,12,9,12,0.0465,0.8963,0,,29.98008,31.13742 71,346,4412,2237,1,30,30,7,0.3971,0.5623,0.8605,15,6,15,0.2093,0.4908,0,,29.980132,31.137041 37,150,4378,2041,1,30,30,9,0.3969,0.6566,0.907,17,8,17,0.2326,0.7715,1,Chefren (Khafre),29.97516,31.130083 30,321,4371,2212,-1,30,6,30,-0.394,0.5392,0.8372,18,7,18,0.2791,0.5702,0,,29.975476,31.13701 15,136,4356,2027,-1,30,5,30,-0.3924,0.5059,0.814,9,17,17,-0.3023,0.3112,0,,29.972658,31.130045 34,299,4375,2190,-1,30,5,30,-0.3912,0.5628,0.814,8,14,14,-0.1395,0.3111,0,,29.975775,31.136047 17,154,4358,2045,1,30,30,4,0.3907,0.4942,0.7907,11,16,16,-0.1163,0.5517,0,,29.972992,31.13071 39,7,4380,1898,1,30,30,3,0.3875,0.4789,0.7674,19,8,19,0.3023,0.6547,0,,29.974473,31.124381 79,40,4420,1931,1,30,30,4,0.3861,0.534,0.7907,14,10,14,0.093,0.9011,0,,29.979071,31.124748 59,353,4400,2244,-1,30,6,30,-0.3845,0.577,0.8372,9,11,11,-0.093,0.9036,0,,29.97886,31.137598 84,218,4425,2109,-1,30,7,30,-0.3845,0.5467,0.8605,13,8,13,0.1395,0.6815,0,,29.980747,31.131673 39,308,4380,2199,-1,30,6,30,-0.3823,0.534,0.8372,14,8,14,0.186,0.9294,0,,29.976381,31.136286 48,267,4389,2158,-1,30,5,30,-0.3809,0.5115,0.814,4,29,29,-0.7907,0.7733,0,,29.977109,31.134453 31,24,4372,1915,1,30,30,4,0.3807,0.4963,0.7907,6,12,12,-0.093,0.7497,0,,29.973704,31.125241 35,4,4376,1895,1,30,30,8,0.3806,0.5983,0.8837,11,13,13,-0.0465,0.5603,0,,29.974016,31.124356 39,306,4380,2197,1,30,30,6,0.3802,0.5603,0.8372,9,17,17,-0.186,0.7623,0,,29.976368,31.136206 29,23,4370,1914,1,30,30,8,0.3799,0.5951,0.8837,14,7,14,0.2093,0.9973,0,,29.973478,31.125248 26,351,4367,2242,-1,30,5,30,-0.3795,0.5754,0.814,14,12,14,0.0698,0.8237,0,,29.975227,31.13829 66,325,4407,2216,1,30,30,4,0.3789,0.4995,0.7907,15,6,15,0.2791,0.9765,0,,29.979451,31.136327 68,367,4409,2258,-1,30,7,30,-0.3779,0.5917,0.8605,7,16,16,-0.2326,0.4562,0,,29.979936,31.137941 23,145,4364,2036,-1,30,8,30,-0.375,0.5686,0.8837,15,11,15,0.1395,0.9853,0,,29.973593,31.130214 35,227,4376,2118,-1,30,7,30,-0.3741,0.5688,0.8605,12,17,17,-0.0698,0.3704,0,,29.975429,31.133176 47,318,4388,2209,1,30,30,5,0.3739,0.5492,0.814,16,5,16,0.2326,0.0925,0,,29.977322,31.136494 24,261,4365,2152,1,30,30,4,0.3737,0.4924,0.7907,12,13,13,0.0465,0.8928,0,,29.974438,31.134778 33,80,4374,1971,1,30,30,7,0.3718,0.5576,0.8605,16,15,16,0.0233,0.9993,0,,29.974278,31.127409 80,16,4421,1907,-1,30,2,30,-0.3698,0.4474,0.7442,11,15,15,-0.1163,0.6634,0,,29.979028,31.123775 33,301,4374,2192,-1,30,5,30,-0.3695,0.5818,0.814,9,12,12,-0.1163,0.989,0,,29.975678,31.136149 52,245,4393,2136,-1,30,8,30,-0.368,0.5976,0.8837,13,11,13,0.0465,0.9439,0,,29.977408,31.13349 62,40,4403,1931,-1,30,9,30,-0.3665,0.6545,0.907,7,11,11,-0.0465,0.488,0,,29.977206,31.125147 46,279,4387,2170,1,30,30,4,0.3626,0.4989,0.7907,20,8,20,0.3256,0.5789,0,,29.976965,31.134975 22,354,4363,2245,1,30,30,7,0.3591,0.5932,0.8605,3,22,22,-0.5116,0.812,0,,29.974807,31.138502 40,55,4381,1946,1,30,30,6,0.358,0.5242,0.8372,11,17,17,-0.093,0.8383,0,,29.974887,31.126256 18,308,4359,2199,1,30,30,5,0.3562,0.4862,0.814,20,10,20,0.4419,0.4678,0,,29.974077,31.136777 87,176,4428,2067,1,30,30,7,0.3532,0.538,0.8605,12,11,12,0.0465,0.6177,0,,29.98081,31.129941 87,163,4428,2054,-1,30,6,30,-0.3519,0.54,0.8372,7,18,18,-0.2791,0.2283,0,,29.980728,31.129427 31,150,4372,2041,-1,30,4,30,-0.3517,0.4558,0.7907,9,11,11,-0.1163,0.9185,0,,29.974502,31.130224 12,138,4353,2029,-1,30,4,30,-0.3497,0.4768,0.7907,15,9,15,0.2093,0.0768,0,,29.972342,31.130194 61,41,4402,1932,-1,30,8,30,-0.3495,0.59,0.8837,11,11,11,0.0465,0.1535,0,,29.977102,31.12521 83,8,4424,1899,1,30,30,6,0.3476,0.5163,0.8372,18,8,18,0.2791,0.5049,0,,29.979306,31.123388 27,32,4368,1923,-1,30,7,30,-0.3468,0.5328,0.8605,10,10,10,0.0698,0.2404,0,,29.973315,31.125651 34,77,4375,1968,-1,30,10,30,-0.3461,0.6814,0.9302,6,16,16,-0.3488,0.983,0,,29.974369,31.127267 55,236,4396,2127,-1,30,5,30,-0.346,0.5386,0.814,9,14,14,-0.0698,0.9782,0,,29.97768,31.133064 81,207,4422,2098,-1,30,6,30,-0.3446,0.5505,0.8372,13,8,13,0.1163,0.7426,0,,29.980348,31.131308 86,140,4427,2031,1,30,30,8,0.3428,0.5371,0.8837,16,10,16,0.1163,0.5498,0,,29.980472,31.12854 24,140,4365,2031,-1,30,8,30,-0.3424,0.5805,0.8837,18,8,18,0.3023,0.4567,0,,29.973671,31.129992 35,90,4376,1981,1,30,30,6,0.3387,0.5329,0.8372,13,17,17,0.0,0.3115,0,,29.974561,31.127757 28,346,4369,2237,-1,30,10,30,-0.3362,0.5823,0.9302,19,10,19,0.2093,0.1878,0,,29.975415,31.138046 32,21,4373,1912,-1,30,4,30,-0.3342,0.4599,0.7907,16,4,16,0.3488,0.8842,0,,29.973794,31.125099 42,321,4383,2212,1,30,30,11,0.3294,0.6178,0.9535,8,15,15,-0.093,0.9665,0,,29.976792,31.13673 19,17,4360,1908,-1,30,5,30,-0.3279,0.4976,0.814,14,10,14,0.093,0.0404,0,,29.972343,31.125245 79,31,4420,1922,1,30,30,5,0.3241,0.4957,0.814,18,6,18,0.3023,0.91,0,,29.979013,31.124392 43,60,4384,1951,-1,30,8,30,-0.3229,0.5596,0.8837,10,20,20,-0.2326,0.1577,0,,29.975248,31.126383 22,124,4363,2015,-1,30,4,30,-0.3213,0.4666,0.7907,13,17,17,-0.186,0.0737,0,,29.97335,31.129407 43,347,4384,2238,1,30,30,8,0.3205,0.5661,0.8837,9,16,16,-0.1163,0.361,0,,29.977067,31.137735 41,200,4382,2091,-1,30,6,30,-0.3173,0.4767,0.8372,10,14,14,-0.1395,0.316,0,,29.975916,31.131967 62,8,4403,1899,-1,30,8,30,-0.2761,0.5688,0.8837,11,17,17,-0.1395,0.8603,0,,29.977003,31.123881 26,289,4367,2180,-1,30,9,30,-0.2752,0.6059,0.907,21,10,21,0.3256,0.2969,0,,29.974834,31.135838 47,331,4388,2222,1,30,30,9,0.2723,0.587,0.907,9,15,15,-0.1628,0.2446,0,,29.977404,31.137008 34,80,4375,1971,1,29,29,2,0.4795,0.5368,0.7209,10,12,12,-0.0465,0.9951,0,,29.974388,31.127385 47,361,4388,2252,1,29,29,4,0.4534,0.5712,0.7674,12,9,12,0.0698,0.5988,0,,29.977595,31.138195 65,335,4406,2226,-1,29,6,29,-0.4164,0.5966,0.814,12,14,14,-0.0233,0.8979,0,,29.979405,31.136746 31,155,4372,2046,-1,29,3,29,-0.416,0.5157,0.7442,4,24,24,-0.6512,0.6769,0,,29.974534,31.130422 35,320,4376,2211,-1,29,5,29,-0.4153,0.6042,0.7907,10,9,10,0.0698,0.9376,0,,29.976018,31.136854 40,325,4381,2216,-1,29,3,29,-0.4142,0.518,0.7442,12,14,14,-0.0465,0.6618,0,,29.976598,31.136935 52,263,4393,2154,1,29,29,5,0.414,0.6075,0.7907,9,12,12,-0.0698,0.838,0,,29.977522,31.134202 48,230,4389,2121,1,29,29,4,0.4107,0.5196,0.7674,11,9,11,0.0233,0.7809,0,,29.976874,31.13299 45,128,4386,2019,1,29,29,3,0.4104,0.4917,0.7442,23,8,23,0.3953,0.9093,0,,29.975898,31.129026 37,151,4378,2042,1,29,29,7,0.4039,0.612,0.8372,14,10,14,0.093,0.4363,1,Chefren (Khafre),29.975167,31.130123 79,27,4420,1918,1,29,29,7,0.3985,0.6172,0.8372,11,11,11,-0.0465,0.8795,0,,29.978988,31.124234 29,77,4370,1968,1,29,29,5,0.3982,0.5404,0.7907,20,7,20,0.3256,0.0621,0,,29.97382,31.127384 45,213,4386,2104,1,29,29,5,0.3958,0.5425,0.7907,12,13,13,0.0698,0.9913,0,,29.976437,31.132388 30,238,4371,2129,1,29,29,7,0.3945,0.5677,0.8372,15,12,15,0.0698,0.7745,0,,29.97495,31.133728 47,197,4388,2088,-1,29,7,29,-0.3934,0.6305,0.8372,12,9,12,0.0,0.6567,1,Chefren (Khafre),29.976555,31.131708 34,78,4375,1969,-1,29,7,29,-0.3904,0.6213,0.8372,8,12,12,-0.1395,0.9983,0,,29.974375,31.127306 58,51,4399,1942,-1,29,4,29,-0.3904,0.5269,0.7674,14,10,14,0.1395,0.306,0,,29.976837,31.125676 36,360,4377,2251,-1,29,6,29,-0.3845,0.5705,0.814,9,15,15,-0.1163,0.8801,0,,29.976381,31.138412 44,309,4385,2200,-1,29,3,29,-0.384,0.4765,0.7442,8,10,10,-0.0465,0.9669,0,,29.976936,31.136208 45,271,4386,2162,-1,29,3,29,-0.3835,0.4923,0.7442,12,4,12,0.2093,0.968,0,,29.976805,31.134682 50,295,4391,2186,1,29,29,7,0.3833,0.5706,0.8372,10,15,15,-0.0698,0.7525,0,,29.977505,31.135514 56,107,4397,1998,-1,29,7,29,-0.3824,0.5856,0.8372,13,14,14,-0.0698,0.116,0,,29.976972,31.127938 27,16,4368,1907,-1,29,8,29,-0.3822,0.6126,0.8605,6,14,14,-0.186,0.8636,0,,29.973214,31.125018 31,85,4372,1976,1,29,29,5,0.3822,0.5318,0.7907,16,11,16,0.1628,0.3018,0,,29.97409,31.127653 12,282,4353,2173,1,29,29,5,0.3773,0.4834,0.7907,9,15,15,-0.1628,0.9909,0,,29.973254,31.135889 34,149,4375,2040,-1,29,5,29,-0.3739,0.5081,0.7907,16,7,16,0.1628,0.9981,0,,29.974825,31.130114 83,173,4424,2064,-1,29,6,29,-0.3731,0.5432,0.814,5,17,17,-0.3721,0.2428,0,,29.980352,31.129916 28,19,4369,1910,1,29,29,4,0.3726,0.5192,0.7674,13,20,20,-0.093,0.5687,0,,29.973343,31.125114 69,210,4410,2101,1,29,29,7,0.3719,0.5877,0.8372,18,10,18,0.1395,0.3361,0,,29.979051,31.131707 36,90,4377,1981,1,29,29,6,0.3715,0.5319,0.814,10,17,17,-0.1628,0.1623,0,,29.97467,31.127734 26,359,4367,2250,-1,29,7,29,-0.3713,0.5876,0.8372,10,16,16,-0.2326,0.5656,0,,29.975278,31.138606 47,227,4388,2118,-1,29,6,29,-0.3708,0.5819,0.814,14,13,14,0.093,0.7958,0,,29.976745,31.132895 41,290,4382,2181,1,29,29,4,0.3704,0.5029,0.7674,11,6,11,0.186,0.3817,0,,29.976486,31.135527 50,279,4391,2170,-1,29,9,29,-0.3703,0.6377,0.8837,9,24,24,-0.3721,0.8163,0,,29.977404,31.134881 34,148,4375,2039,-1,29,5,29,-0.3701,0.5445,0.7907,10,18,18,-0.2791,0.9853,0,,29.974818,31.130075 59,38,4400,1929,1,29,29,6,0.3672,0.54,0.814,19,11,19,0.1163,0.2984,0,,29.976864,31.125138 74,220,4415,2111,-1,29,8,29,-0.3671,0.6128,0.8605,12,14,14,-0.0698,0.4214,0,,29.979663,31.131986 42,300,4383,2191,-1,29,7,29,-0.3669,0.5969,0.8372,15,8,15,0.186,0.1861,0,,29.976659,31.135899 48,233,4389,2124,1,29,29,9,0.3669,0.5895,0.8837,18,10,18,0.2558,0.801,0,,29.976893,31.133109 46,350,4387,2241,-1,29,6,29,-0.3653,0.556,0.814,9,12,12,-0.1395,0.694,0,,29.977415,31.137783 87,180,4428,2071,-1,29,6,29,-0.3649,0.4958,0.814,10,9,10,0.0,0.8772,0,,29.980836,31.130099 66,85,4407,1976,1,29,29,6,0.3632,0.5785,0.814,15,11,15,0.1163,0.4452,0,,29.97793,31.126833 20,153,4361,2044,1,29,29,5,0.3627,0.5474,0.7907,5,25,25,-0.5814,0.9965,0,,29.973314,31.1306 39,180,4380,2071,1,29,29,4,0.3602,0.4836,0.7674,16,11,16,0.1628,0.896,1,Chefren (Khafre),29.97557,31.131223 50,58,4391,1949,-1,29,8,29,-0.3602,0.5613,0.8605,7,20,20,-0.4419,0.1155,0,,29.976003,31.12614 58,353,4399,2244,-1,29,7,29,-0.3602,0.5836,0.8372,9,13,13,-0.093,0.8887,0,,29.978751,31.137621 81,198,4422,2089,1,29,29,9,0.3594,0.57,0.8837,11,15,15,-0.093,0.4739,0,,29.980291,31.130952 46,63,4387,1954,1,29,29,6,0.358,0.5448,0.814,16,7,16,0.186,0.3279,0,,29.975596,31.126432 55,283,4396,2174,-1,29,5,29,-0.3565,0.4973,0.7907,10,12,12,-0.0233,0.5986,0,,29.977978,31.134923 23,318,4364,2209,-1,29,7,29,-0.3545,0.5082,0.8372,11,19,19,-0.2791,0.6144,0,,29.974689,31.137055 47,307,4388,2198,1,29,29,7,0.3542,0.6041,0.8372,12,14,14,-0.0465,0.4001,0,,29.977252,31.136059 57,50,4398,1941,-1,29,7,29,-0.3528,0.5585,0.8372,16,19,19,-0.0698,0.1196,0,,29.976721,31.12566 41,294,4382,2185,1,29,29,6,0.3508,0.5781,0.814,8,11,11,-0.0233,0.1093,0,,29.976512,31.135685 13,186,4354,2077,-1,29,3,29,-0.3502,0.4641,0.7442,11,9,11,0.0698,0.4868,0,,29.972756,31.132069 55,284,4396,2175,-1,29,5,29,-0.3498,0.5115,0.7907,13,11,13,0.0698,0.4577,0,,29.977984,31.134962 32,322,4373,2213,-1,29,8,29,-0.3491,0.6279,0.8605,13,10,13,0.0465,0.8655,0,,29.975702,31.137003 35,181,4376,2072,1,29,29,3,0.3487,0.4655,0.7442,12,12,12,-0.0233,0.9885,0,,29.975137,31.131356 16,277,4357,2168,1,29,29,3,0.3483,0.4747,0.7442,15,14,15,0.0233,0.9294,0,,29.973661,31.135598 24,148,4365,2039,1,29,29,9,0.348,0.6301,0.8837,7,10,10,-0.1395,0.8583,0,,29.973721,31.130309 87,179,4428,2070,1,29,29,6,0.3472,0.5486,0.814,15,6,15,0.2093,0.9259,0,,29.980829,31.13006 19,162,4360,2053,1,29,29,6,0.3469,0.5131,0.814,16,13,16,0.1395,0.2113,0,,29.973262,31.13098 53,70,4394,1961,-1,29,5,29,-0.3466,0.5168,0.7907,6,15,15,-0.2326,0.1812,0,,29.976408,31.126544 45,141,4386,2032,1,29,29,7,0.3465,0.5509,0.8372,10,13,13,-0.093,0.9267,0,,29.975981,31.12954 43,292,4384,2183,1,29,29,8,0.3448,0.5532,0.8605,10,12,12,-0.093,0.8792,0,,29.976718,31.135559 33,279,4374,2170,1,29,29,7,0.3445,0.5634,0.8372,6,18,18,-0.3488,0.8471,0,,29.975539,31.135279 84,33,4425,1924,-1,29,2,29,-0.3412,0.3993,0.7209,13,13,13,0.0698,0.7574,0,,29.979575,31.124354 31,149,4372,2040,-1,29,3,29,-0.3407,0.4728,0.7442,9,10,10,-0.0465,0.902,0,,29.974496,31.130184 46,7,4387,1898,1,29,29,8,0.3402,0.5794,0.8605,11,15,15,-0.0465,0.4877,0,,29.975241,31.124217 37,75,4378,1966,1,29,29,7,0.3393,0.5137,0.8372,10,16,16,-0.2093,0.5083,0,,29.974685,31.127117 83,7,4424,1898,1,29,29,7,0.3376,0.5072,0.8372,16,8,16,0.2558,0.6291,0,,29.9793,31.123349 64,146,4405,2037,-1,29,9,29,-0.3332,0.6214,0.8837,9,15,15,-0.186,0.9188,0,,29.978097,31.129293 87,197,4428,2088,1,29,29,6,0.3332,0.5319,0.814,19,7,19,0.3953,0.9107,0,,29.980943,31.130772 38,147,4379,2038,-1,29,9,29,-0.3315,0.5903,0.8837,16,8,16,0.186,0.9696,1,Chefren (Khafre),29.975251,31.129941 53,27,4394,1918,1,29,29,8,0.3308,0.538,0.8605,15,11,15,0.1628,0.8722,0,,29.976136,31.124844 40,80,4381,1971,1,29,29,8,0.33,0.5475,0.8605,15,7,15,0.2093,0.2851,0,,29.975046,31.127245 47,294,4388,2185,1,29,29,7,0.3298,0.5493,0.8372,16,7,16,0.3023,0.691,0,,29.97717,31.135545 19,151,4360,2042,-1,29,4,29,-0.3294,0.4773,0.7674,11,15,15,-0.0465,1.0,0,,29.973192,31.130545 17,135,4358,2026,-1,29,5,29,-0.3285,0.5027,0.7907,7,20,20,-0.3721,0.9788,0,,29.972871,31.129959 36,93,4377,1984,-1,29,5,29,-0.3284,0.5036,0.7907,14,6,14,0.1628,0.1246,0,,29.974689,31.127853 33,323,4374,2214,-1,29,7,29,-0.328,0.5222,0.8372,7,6,7,0.0,0.9541,0,,29.975818,31.137019 10,283,4351,2174,-1,29,8,29,-0.3277,0.5611,0.8605,7,18,18,-0.3488,0.9226,0,,29.973041,31.135975 79,64,4420,1955,-1,29,9,29,-0.326,0.5395,0.8837,9,16,16,-0.186,0.3598,0,,29.979223,31.125698 41,207,4382,2098,1,29,29,8,0.3258,0.5693,0.8605,15,8,15,0.186,0.6216,0,,29.97596,31.132244 46,14,4387,1905,1,29,29,6,0.3238,0.5464,0.814,12,7,12,0.1163,0.0419,0,,29.975286,31.124494 80,322,4421,2213,-1,29,4,29,-0.3237,0.4154,0.7674,8,14,14,-0.1163,0.7058,0,,29.980968,31.135881 37,87,4378,1978,-1,29,7,29,-0.3212,0.5231,0.8372,5,23,23,-0.4419,0.3753,0,,29.974761,31.127592 35,321,4376,2212,-1,29,9,29,-0.3209,0.5552,0.8837,9,14,14,-0.093,0.9285,0,,29.976025,31.136893 50,280,4391,2171,-1,29,11,29,-0.3175,0.6373,0.9302,10,19,19,-0.2791,0.885,0,,29.97741,31.134921 58,61,4399,1952,1,29,29,7,0.316,0.5659,0.8372,11,15,15,-0.1395,0.9816,0,,29.9769,31.126071 33,297,4374,2188,1,29,29,6,0.3143,0.4532,0.814,9,12,12,-0.0698,0.2794,0,,29.975653,31.135991 34,15,4375,1906,-1,29,7,29,-0.3138,0.5121,0.8372,11,14,14,-0.0698,0.2875,0,,29.973976,31.124815 50,278,4391,2169,-1,29,9,29,-0.3118,0.5874,0.8837,5,21,21,-0.4186,0.884,0,,29.977398,31.134842 22,33,4363,1924,1,29,29,6,0.3104,0.5062,0.814,14,11,14,0.0465,0.0012,0,,29.972773,31.125808 52,229,4393,2120,1,29,29,8,0.3075,0.5203,0.8605,7,11,11,-0.1163,0.6609,0,,29.977306,31.132857 31,364,4372,2255,1,29,29,9,0.3055,0.6147,0.8837,10,9,10,0.0,0.9316,0,,29.975858,31.138687 14,139,4355,2030,-1,29,5,29,-0.3054,0.4401,0.7907,11,12,12,-0.0698,0.1909,0,,29.972567,31.130187 12,153,4353,2044,1,29,29,10,0.3032,0.5792,0.907,10,17,17,-0.2791,0.1527,0,,29.972437,31.130788 23,149,4364,2040,-1,29,8,29,-0.3016,0.5729,0.8605,25,6,25,0.5581,0.9941,0,,29.973618,31.130372 65,158,4406,2049,1,29,29,6,0.2975,0.5438,0.814,13,11,13,0.0698,0.2093,0,,29.978283,31.129744 69,263,4410,2154,1,29,29,4,0.2975,0.4481,0.7674,10,9,10,0.0233,0.9779,1,Cheope (Khufu),29.979387,31.133804 51,268,4392,2159,1,29,29,9,0.2974,0.5816,0.8837,7,15,15,-0.1628,0.842,0,,29.977444,31.134423 25,337,4366,2228,1,29,29,9,0.2969,0.5624,0.8837,19,10,19,0.3953,0.7926,0,,29.975029,31.13776 57,235,4398,2126,1,29,29,8,0.2954,0.5504,0.8605,13,11,13,0.0,0.2462,0,,29.977893,31.132977 51,369,4392,2260,-1,29,8,29,-0.2925,0.5307,0.8605,6,23,23,-0.4419,0.578,0,,29.978084,31.138418 63,41,4404,1932,-1,29,7,29,-0.292,0.5346,0.8372,5,14,14,-0.2326,0.518,0,,29.977322,31.125163 5,283,4346,2174,1,29,29,9,0.2898,0.5997,0.8837,20,9,20,0.4419,0.9397,0,,29.972493,31.136092 43,271,4384,2162,-1,29,10,29,-0.2895,0.5482,0.907,12,10,12,0.0698,0.9586,0,,29.976585,31.134729 67,30,4408,1921,1,29,29,7,0.2893,0.5647,0.8372,12,17,17,-0.1395,0.3098,0,,29.977691,31.124634 43,136,4384,2027,1,29,29,6,0.2786,0.4687,0.814,12,10,12,0.0233,0.9817,0,,29.97573,31.129389 9,284,4350,2175,1,29,29,5,0.2778,0.4534,0.7907,26,11,26,0.4419,0.909,0,,29.972938,31.136038 37,13,4378,1904,1,29,29,9,0.2768,0.5781,0.8837,16,8,16,0.2093,0.8486,0,,29.974292,31.124665 37,86,4378,1977,-1,29,6,29,-0.2541,0.483,0.814,8,18,18,-0.3023,0.9859,0,,29.974755,31.127552 48,343,4389,2234,1,28,28,1,0.4796,0.5165,0.6744,9,16,16,-0.1628,0.6428,0,,29.97759,31.137459 35,77,4376,1968,-1,28,3,28,-0.4747,0.5735,0.7209,8,15,15,-0.1628,0.9026,0,,29.974478,31.127243 29,76,4370,1967,1,28,28,5,0.457,0.5671,0.7674,22,5,22,0.4186,0.1136,0,,29.973814,31.127344 38,12,4379,1903,1,28,28,5,0.4456,0.6301,0.7674,13,14,14,-0.0698,0.9283,0,,29.974395,31.124602 52,230,4393,2121,1,28,28,2,0.4398,0.5316,0.6977,15,7,15,0.2093,0.8167,0,,29.977313,31.132896 46,4,4387,1895,1,28,28,3,0.433,0.5602,0.7209,12,6,12,0.1395,0.1383,0,,29.975222,31.124098 31,29,4372,1920,-1,28,5,28,-0.4277,0.5669,0.7674,8,10,10,0.0,0.4028,0,,29.973735,31.125439 19,208,4360,2099,-1,28,4,28,-0.4273,0.5505,0.7442,15,11,15,0.2326,0.8697,0,,29.973553,31.132799 43,299,4384,2190,-1,28,5,28,-0.4223,0.5717,0.7674,11,13,13,-0.093,0.3784,0,,29.976763,31.135836 36,150,4377,2041,1,28,28,8,0.419,0.6371,0.8372,17,5,17,0.3256,0.7723,0,,29.975051,31.130107 19,154,4360,2045,1,28,28,7,0.418,0.6122,0.814,11,12,12,-0.0233,0.7818,0,,29.973211,31.130663 43,215,4384,2106,1,28,28,4,0.4175,0.5649,0.7442,10,16,16,-0.0465,0.4627,0,,29.97623,31.132514 49,55,4390,1946,1,28,28,5,0.4142,0.5319,0.7674,14,9,14,0.093,0.1538,0,,29.975875,31.126045 70,353,4411,2244,-1,28,4,28,-0.4138,0.5395,0.7442,13,12,13,0.0233,0.7967,0,,29.980067,31.137341 48,297,4389,2188,-1,28,5,28,-0.4125,0.5547,0.7674,9,14,14,-0.1163,0.7599,0,,29.977299,31.13564 32,73,4373,1964,-1,28,6,28,-0.4112,0.5685,0.7907,20,7,20,0.3256,0.8704,0,,29.974124,31.127155 34,2,4375,1893,-1,28,7,28,-0.4094,0.6359,0.814,9,16,16,-0.2093,0.721,0,,29.973893,31.1243 31,83,4372,1974,-1,28,5,28,-0.4089,0.5352,0.7674,11,10,11,0.093,0.2456,0,,29.974077,31.127574 44,282,4385,2173,-1,28,8,28,-0.4084,0.6496,0.8372,12,13,13,-0.0465,0.3138,0,,29.976765,31.13514 30,6,4371,1897,-1,28,5,28,-0.4083,0.5266,0.7674,1,26,26,-0.6977,0.4668,0,,29.97348,31.124552 18,150,4359,2041,-1,28,2,28,-0.4049,0.4739,0.6977,11,15,15,-0.1628,0.9691,0,,29.973076,31.130528 48,275,4389,2166,1,28,28,7,0.3983,0.5753,0.814,18,9,18,0.2558,0.3597,0,,29.977159,31.13477 26,16,4367,1907,-1,28,4,28,-0.3975,0.5264,0.7442,11,10,11,-0.0233,0.4486,0,,29.973104,31.125042 51,360,4392,2251,1,28,28,5,0.3928,0.5208,0.7674,14,9,14,0.1628,0.8366,0,,29.978027,31.138062 35,367,4376,2258,-1,28,3,28,-0.3916,0.483,0.7209,9,16,16,-0.186,0.4804,0,,29.976316,31.138713 73,30,4414,1921,-1,28,7,28,-0.3893,0.5604,0.814,8,22,22,-0.3953,0.2455,0,,29.978349,31.124493 22,29,4363,1920,-1,28,5,28,-0.387,0.5474,0.7674,12,13,13,0.0,0.1199,0,,29.972748,31.12565 41,151,4382,2042,1,28,28,8,0.3866,0.5866,0.8372,13,6,13,0.1628,0.2165,1,Chefren (Khafre),29.975605,31.130029 34,81,4375,1972,1,28,28,4,0.3865,0.5428,0.7442,19,8,19,0.3023,0.9431,0,,29.974394,31.127425 32,84,4373,1975,1,28,28,7,0.3852,0.5742,0.814,18,5,18,0.4419,0.7657,0,,29.974193,31.12759 47,329,4388,2220,-1,28,4,28,-0.3845,0.5546,0.7442,8,14,14,-0.2093,0.5409,0,,29.977392,31.136929 40,308,4381,2199,-1,28,6,28,-0.3839,0.5457,0.7907,8,8,8,0.0,0.8943,0,,29.976491,31.136262 47,328,4388,2219,-1,28,3,28,-0.3829,0.5081,0.7209,9,16,16,-0.1628,0.7757,0,,29.977385,31.13689 66,139,4407,2030,-1,28,2,28,-0.3829,0.4795,0.6977,5,16,16,-0.2326,0.6529,0,,29.978272,31.128969 22,282,4363,2173,1,28,28,4,0.3821,0.4844,0.7442,8,20,20,-0.3488,0.8579,0,,29.974351,31.135655 31,151,4372,2042,-1,28,6,28,-0.3821,0.5751,0.7907,7,14,14,-0.186,0.8585,0,,29.974508,31.130264 82,92,4423,1983,1,28,28,3,0.3819,0.5477,0.7209,16,8,16,0.1628,0.4221,0,,29.979729,31.126735 86,43,4427,1934,-1,28,4,28,-0.3808,0.5375,0.7442,8,15,15,-0.2326,0.4861,0,,29.979857,31.124703 32,161,4373,2052,1,28,28,6,0.3804,0.5506,0.7907,8,10,10,-0.0698,0.8133,0,,29.974681,31.130636 41,72,4382,1963,1,28,28,6,0.3783,0.583,0.7907,23,5,23,0.4651,0.8716,0,,29.975105,31.126905 80,328,4421,2219,-1,28,10,28,-0.3779,0.6199,0.8837,9,16,16,-0.2093,0.5344,0,,29.981006,31.136118 82,197,4423,2088,1,28,28,7,0.3776,0.5929,0.814,17,8,17,0.2326,0.8346,0,,29.980395,31.130889 78,27,4419,1918,1,28,28,5,0.3763,0.5593,0.7674,15,6,15,0.3256,0.6986,0,,29.978878,31.124257 48,4,4389,1895,1,28,28,4,0.3761,0.5574,0.7442,14,13,14,0.0465,0.0285,0,,29.975442,31.124051 31,325,4372,2216,1,28,28,4,0.3753,0.4849,0.7442,12,11,12,0.0465,0.9789,0,,29.975611,31.137145 34,170,4375,2061,-1,28,5,28,-0.3752,0.5168,0.7674,9,20,20,-0.3023,0.9047,0,,29.974958,31.130945 37,80,4378,1971,1,28,28,7,0.3735,0.5352,0.814,12,14,14,-0.0233,0.7178,0,,29.974717,31.127315 81,217,4422,2108,-1,28,6,28,-0.3731,0.5683,0.7907,10,11,11,0.0465,0.6161,0,,29.980412,31.131703 18,307,4359,2198,1,28,28,1,0.373,0.4135,0.6744,15,11,15,0.3023,0.6826,0,,29.974071,31.136737 47,5,4388,1896,1,28,28,4,0.3725,0.4921,0.7442,14,12,14,0.0233,0.1622,0,,29.975338,31.124114 49,60,4390,1951,-1,28,5,28,-0.3708,0.5205,0.7674,9,16,16,-0.2558,0.1479,0,,29.975906,31.126243 26,363,4367,2254,1,28,28,4,0.37,0.5137,0.7442,8,15,15,-0.1395,0.4113,0,,29.975303,31.138765 43,366,4384,2257,-1,28,8,28,-0.369,0.5855,0.8372,9,13,13,-0.1163,0.6887,0,,29.977187,31.138486 39,11,4380,1902,-1,28,5,28,-0.3684,0.5217,0.7674,10,11,11,-0.0465,0.7595,0,,29.974499,31.124539 46,5,4387,1896,1,28,28,5,0.3684,0.5326,0.7674,14,11,14,0.0465,0.2562,0,,29.975229,31.124138 22,160,4363,2051,-1,28,5,28,-0.367,0.556,0.7674,11,13,13,0.0,0.6231,0,,29.973578,31.13083 51,244,4392,2135,-1,28,4,28,-0.3657,0.4942,0.7442,13,11,13,0.0465,0.8888,0,,29.977292,31.133474 80,321,4421,2212,-1,28,7,28,-0.3656,0.5497,0.814,9,17,17,-0.186,0.9944,0,,29.980961,31.135841 29,73,4370,1964,-1,28,5,28,-0.3653,0.5062,0.7674,17,13,17,0.093,0.2373,0,,29.973795,31.127226 22,312,4363,2203,1,28,28,9,0.3633,0.6176,0.8605,10,16,16,-0.2326,0.7368,0,,29.974541,31.136841 45,279,4386,2170,1,28,28,8,0.3628,0.6343,0.8372,19,5,19,0.3488,0.3058,0,,29.976855,31.134998 21,150,4362,2041,-1,28,4,28,-0.3627,0.4556,0.7442,14,7,14,0.1395,0.9493,0,,29.973405,31.130458 42,299,4383,2190,-1,28,8,28,-0.3621,0.6029,0.8372,10,14,14,-0.093,0.1329,0,,29.976653,31.135859 29,6,4370,1897,-1,28,6,28,-0.3618,0.5347,0.7907,2,27,27,-0.7674,0.5672,0,,29.97337,31.124576 73,68,4414,1959,-1,28,6,28,-0.3613,0.5122,0.7907,11,7,11,0.093,0.8499,0,,29.97859,31.125997 30,178,4371,2069,-1,28,6,28,-0.3596,0.4864,0.7907,15,5,15,0.2326,0.8932,0,,29.97457,31.131355 15,2,4356,1893,1,28,28,3,0.3595,0.4427,0.7209,17,8,17,0.2326,0.075,0,,29.971809,31.124746 37,137,4378,2028,-1,28,5,28,-0.3595,0.4753,0.7674,20,4,20,0.3721,0.909,0,,29.975078,31.129569 63,231,4404,2122,1,28,28,5,0.3592,0.5213,0.7674,14,4,14,0.3953,0.4071,0,,29.978526,31.132679 62,41,4403,1932,-1,28,7,28,-0.3587,0.6192,0.814,8,15,15,-0.1163,0.4494,0,,29.977212,31.125186 27,282,4368,2173,-1,28,8,28,-0.3578,0.5316,0.8372,8,12,12,-0.0698,0.3858,0,,29.9749,31.135538 44,257,4385,2148,-1,28,9,28,-0.3578,0.6143,0.8605,11,14,14,-0.0465,0.7777,0,,29.976606,31.134152 62,88,4403,1979,-1,28,5,28,-0.3573,0.5386,0.7674,3,15,15,-0.3488,0.1151,0,,29.97751,31.127045 48,351,4389,2242,-1,28,5,28,-0.3566,0.5263,0.7674,4,12,12,-0.2558,0.4842,0,,29.977641,31.137776 64,29,4405,1920,-1,28,8,28,-0.3559,0.5604,0.8372,8,19,19,-0.3023,0.1259,0,,29.977355,31.124665 65,85,4406,1976,1,28,28,6,0.3554,0.5853,0.7907,18,13,18,0.1628,0.5566,0,,29.97782,31.126856 34,301,4375,2192,-1,28,7,28,-0.3553,0.5571,0.814,10,14,14,-0.1395,0.9731,0,,29.975788,31.136126 33,137,4374,2028,-1,28,5,28,-0.3532,0.5024,0.7674,16,12,16,0.093,0.6578,0,,29.974639,31.129663 15,323,4356,2214,1,28,28,5,0.3518,0.4791,0.7674,12,14,14,-0.0698,0.4973,0,,29.973843,31.13744 64,11,4405,1902,1,28,28,6,0.3516,0.5294,0.7907,23,6,23,0.4186,0.7184,0,,29.977241,31.123953 41,233,4382,2124,-1,28,5,28,-0.3507,0.4992,0.7674,10,10,10,0.0698,0.9358,0,,29.976125,31.133273 59,50,4400,1941,-1,28,8,28,-0.3498,0.5768,0.8372,10,12,12,-0.0233,0.859,0,,29.97694,31.125613 47,129,4388,2020,1,28,28,5,0.348,0.4952,0.7674,15,12,15,0.093,0.6137,0,,29.976124,31.129019 77,64,4418,1955,-1,28,8,28,-0.348,0.5307,0.8372,4,22,22,-0.4186,0.6534,0,,29.979003,31.125745 38,5,4379,1896,-1,28,7,28,-0.3478,0.5612,0.814,15,10,15,0.1163,0.3452,0,,29.974351,31.124325 78,200,4419,2091,1,28,28,8,0.3472,0.5947,0.8372,15,11,15,0.186,0.351,0,,29.979975,31.131101 30,153,4371,2044,-1,28,6,28,-0.3469,0.5261,0.7907,13,10,13,0.0465,0.2893,0,,29.974411,31.130366 28,299,4369,2190,1,28,28,5,0.346,0.4962,0.7674,4,18,18,-0.3488,0.3864,0,,29.975117,31.136187 41,4,4382,1895,-1,28,7,28,-0.3458,0.6008,0.814,13,10,13,0.0465,0.2174,0,,29.974674,31.124215 18,148,4359,2039,-1,28,6,28,-0.3454,0.5312,0.7907,11,13,13,-0.0698,0.095,0,,29.973063,31.130449 41,243,4382,2134,-1,28,6,28,-0.3446,0.5329,0.7907,18,7,18,0.2791,0.5766,0,,29.976188,31.133668 23,140,4364,2031,-1,28,5,28,-0.3445,0.554,0.7674,8,19,19,-0.3256,0.1648,0,,29.973561,31.130016 25,154,4366,2045,1,28,28,8,0.3444,0.5466,0.8372,12,16,16,-0.093,0.7156,0,,29.973869,31.130523 35,15,4376,1906,-1,28,5,28,-0.3442,0.4682,0.7674,11,14,14,-0.093,0.2229,0,,29.974085,31.124791 46,293,4387,2184,1,28,28,2,0.3439,0.4314,0.6977,6,13,13,-0.186,0.7001,0,,29.977054,31.135529 28,318,4369,2209,1,28,28,9,0.3438,0.6087,0.8605,19,2,19,0.5349,0.555,0,,29.975238,31.136938 33,163,4374,2054,-1,28,9,28,-0.3438,0.5673,0.8605,18,9,18,0.3256,0.9478,0,,29.974804,31.130691 34,323,4375,2214,-1,28,3,28,-0.3403,0.4299,0.7209,7,6,7,0.0465,0.9462,0,,29.975928,31.136996 33,177,4374,2068,-1,28,6,28,-0.34,0.4949,0.7907,20,11,20,0.3721,0.8092,0,,29.974893,31.131245 33,235,4374,2126,1,28,28,8,0.3396,0.5569,0.8372,17,5,17,0.3488,0.5811,0,,29.97526,31.133539 78,357,4419,2248,-1,28,7,28,-0.3393,0.5287,0.814,8,14,14,-0.186,0.6551,0,,29.98097,31.137312 44,138,4385,2029,-1,28,10,28,-0.3391,0.638,0.8837,11,14,14,-0.1628,0.9914,0,,29.975852,31.129445 21,352,4362,2243,1,28,28,6,0.3389,0.5644,0.7907,11,7,11,0.093,0.4998,0,,29.974685,31.138447 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23,341,4364,2232,1,28,28,4,0.3322,0.4457,0.7442,15,13,15,0.0233,0.9303,0,,29.974835,31.137965 33,87,4374,1978,1,28,28,7,0.3295,0.5354,0.814,11,12,12,0.0233,0.8313,0,,29.974322,31.127686 53,239,4394,2130,1,28,28,9,0.3289,0.5969,0.8605,15,16,16,0.0233,0.8127,0,,29.97748,31.133229 53,34,4394,1925,-1,28,6,28,-0.3285,0.5223,0.7907,17,7,17,0.2326,0.698,0,,29.97618,31.12512 54,12,4395,1903,-1,28,7,28,-0.3281,0.5538,0.814,14,9,14,0.0698,0.6619,0,,29.976151,31.124227 85,179,4426,2070,1,28,28,7,0.3281,0.5468,0.814,6,15,15,-0.2093,0.95,0,,29.98061,31.130107 34,181,4375,2072,1,28,28,5,0.3278,0.4793,0.7674,8,16,16,-0.2558,0.9806,0,,29.975028,31.13138 60,38,4401,1929,1,28,28,6,0.3276,0.5273,0.7907,14,11,14,0.0,0.1387,0,,29.976974,31.125115 43,243,4384,2134,-1,28,6,28,-0.3273,0.5504,0.7907,11,10,11,0.1163,0.7718,0,,29.976408,31.133621 40,52,4381,1943,-1,28,7,28,-0.3272,0.5027,0.814,10,12,12,-0.0698,0.804,0,,29.974868,31.126137 44,143,4385,2034,1,28,28,4,0.3265,0.4788,0.7442,11,11,11,0.0,0.7701,0,,29.975884,31.129643 47,250,4388,2141,1,28,28,6,0.3262,0.5328,0.7907,21,11,21,0.2558,0.7965,0,,29.976891,31.133804 14,137,4355,2028,-1,28,10,28,-0.326,0.6127,0.8837,8,23,23,-0.4884,0.1369,0,,29.972555,31.130108 32,29,4373,1920,-1,28,7,28,-0.3254,0.5668,0.814,17,10,17,0.2326,0.3037,0,,29.973845,31.125415 81,42,4422,1933,-1,28,6,28,-0.3239,0.5492,0.7907,13,9,13,0.0698,0.9287,0,,29.979303,31.12478 74,23,4415,1914,-1,28,8,28,-0.3238,0.5543,0.8372,13,20,20,-0.1628,0.6019,0,,29.978414,31.124193 57,249,4398,2140,1,28,28,5,0.3235,0.4768,0.7674,19,7,19,0.3488,0.67,0,,29.977982,31.133531 31,20,4372,1911,-1,28,9,28,-0.3234,0.5991,0.8605,16,6,16,0.2558,0.899,0,,29.973678,31.125083 47,274,4388,2165,1,28,28,8,0.3234,0.5036,0.8372,12,8,12,0.0465,0.5776,0,,29.977043,31.134754 22,165,4363,2056,1,28,28,8,0.3231,0.5044,0.8372,10,14,14,-0.093,0.8973,0,,29.97361,31.131028 13,138,4354,2029,-1,28,9,28,-0.3227,0.5975,0.8605,10,11,11,-0.1163,0.1268,0,,29.972451,31.130171 54,238,4395,2129,1,28,28,8,0.3224,0.576,0.8372,15,10,15,0.1628,0.8048,0,,29.977583,31.133166 37,177,4378,2068,-1,28,6,28,-0.3223,0.4758,0.7907,16,13,16,0.1163,0.9205,1,Chefren (Khafre),29.975331,31.131151 19,279,4360,2170,-1,28,8,28,-0.3218,0.523,0.8372,9,15,15,-0.1628,0.6748,0,,29.974003,31.135606 29,63,4370,1954,1,28,28,4,0.3204,0.5201,0.7442,9,10,10,0.0,0.2944,0,,29.973731,31.12683 40,230,4381,2121,-1,28,10,28,-0.3195,0.6464,0.8837,10,15,15,-0.093,0.2229,0,,29.975996,31.133177 83,185,4424,2076,-1,28,6,28,-0.3191,0.5514,0.7907,5,17,17,-0.3023,0.8159,0,,29.980428,31.130391 47,299,4388,2190,1,28,28,8,0.3189,0.6203,0.8372,16,9,16,0.2093,0.3858,0,,29.977202,31.135743 21,350,4362,2241,1,28,28,5,0.3186,0.5154,0.7674,11,7,11,0.1628,0.4525,0,,29.974672,31.138367 49,341,4390,2232,-1,28,8,28,-0.3168,0.5503,0.8372,14,11,14,0.1163,0.806,0,,29.977687,31.137357 66,45,4407,1936,1,28,28,7,0.3161,0.4814,0.814,13,7,13,0.1628,0.2247,0,,29.977676,31.125251 84,235,4425,2126,-1,28,5,28,-0.3151,0.4841,0.7674,15,13,15,0.1163,0.6439,0,,29.980855,31.132345 11,139,4352,2030,-1,28,1,28,-0.3148,0.3722,0.6744,19,6,19,0.3953,0.1224,0,,29.972238,31.130257 21,145,4362,2036,-1,28,8,28,-0.3147,0.516,0.8372,11,11,11,-0.1628,0.2107,0,,29.973373,31.13026 49,248,4390,2139,-1,28,9,28,-0.3142,0.5915,0.8605,7,17,17,-0.3256,0.9644,0,,29.977098,31.133679 61,353,4402,2244,1,28,28,11,0.3135,0.6043,0.907,13,13,13,-0.0233,0.9742,0,,29.97908,31.137551 19,338,4360,2229,-1,28,4,28,-0.3129,0.4876,0.7442,12,9,12,0.0698,0.5571,0,,29.974377,31.13794 23,5,4364,1896,1,28,28,9,0.3128,0.5366,0.8605,14,12,14,-0.0233,0.469,0,,29.972706,31.124677 42,322,4383,2213,1,28,28,7,0.3127,0.5506,0.814,10,13,13,-0.0698,0.9119,0,,29.976799,31.136769 52,29,4393,1920,-1,28,9,28,-0.3101,0.6465,0.8605,13,14,14,-0.0465,0.7155,0,,29.976039,31.124946 19,219,4360,2110,1,28,28,8,0.3069,0.563,0.8372,8,13,13,-0.1395,0.9634,0,,29.973623,31.133234 55,364,4396,2255,1,28,28,7,0.3033,0.5126,0.814,8,9,9,-0.0465,0.7232,0,,29.978491,31.138126 50,64,4391,1955,1,28,28,8,0.3031,0.6001,0.8372,14,12,14,0.0698,0.1468,0,,29.976041,31.126377 42,235,4383,2126,1,28,28,6,0.3028,0.495,0.7907,6,20,20,-0.3256,0.6859,0,,29.976247,31.133328 43,363,4384,2254,-1,28,9,28,-0.3027,0.5574,0.8605,4,22,22,-0.5814,0.6244,0,,29.977168,31.138367 36,151,4377,2042,1,28,28,11,0.3013,0.5784,0.907,15,5,15,0.2326,0.6669,0,,29.975057,31.130146 38,19,4379,1910,1,28,28,5,0.3006,0.4816,0.7674,15,10,15,0.186,0.2499,0,,29.97444,31.124879 62,227,4403,2118,-1,28,8,28,-0.3005,0.4807,0.8372,8,10,10,-0.0698,0.9766,0,,29.978391,31.132544 66,22,4407,1913,1,28,28,10,0.2996,0.6132,0.8837,17,6,17,0.3023,0.2771,0,,29.97753,31.124341 11,138,4352,2029,-1,28,3,28,-0.2977,0.407,0.7209,17,13,17,0.186,0.0844,0,,29.972232,31.130218 32,183,4373,2074,1,28,28,8,0.2976,0.5253,0.8372,19,9,19,0.2791,0.7036,0,,29.974821,31.131506 30,73,4371,1964,-1,28,7,28,-0.2972,0.543,0.814,13,13,13,0.0698,0.7387,0,,29.973904,31.127202 27,354,4368,2245,1,28,28,6,0.2968,0.5154,0.7907,13,20,20,-0.1628,0.3258,0,,29.975356,31.138385 65,11,4406,1902,1,28,28,7,0.2967,0.5217,0.814,15,9,15,0.186,0.6502,0,,29.977351,31.123929 14,188,4355,2079,1,28,28,4,0.2962,0.4365,0.7442,16,13,16,0.0698,0.369,0,,29.972878,31.132125 10,139,4351,2030,-1,28,6,28,-0.2949,0.4491,0.7907,15,10,15,0.186,0.3826,0,,29.972129,31.130281 83,13,4424,1904,1,28,28,7,0.2949,0.4335,0.814,14,7,14,0.1628,0.9625,0,,29.979338,31.123586 77,40,4418,1931,1,28,28,9,0.2944,0.5582,0.8605,15,10,15,0.0465,0.8492,0,,29.978851,31.124795 24,281,4365,2172,1,28,28,7,0.2938,0.5049,0.814,24,11,24,0.3721,0.8552,0,,29.974564,31.135569 84,181,4425,2072,-1,28,8,28,-0.2934,0.6067,0.8372,25,7,25,0.4651,0.9024,0,,29.980513,31.130209 38,148,4379,2039,-1,28,6,28,-0.2914,0.49,0.7907,16,6,16,0.3023,0.8676,1,Chefren (Khafre),29.975257,31.129981 24,352,4365,2243,-1,28,6,28,-0.2912,0.4919,0.7907,15,8,15,0.186,0.8921,0,,29.975014,31.138376 85,42,4426,1933,-1,28,6,28,-0.2912,0.4946,0.7907,8,14,14,-0.1395,0.792,0,,29.979741,31.124687 19,209,4360,2100,-1,28,6,28,-0.2895,0.5016,0.7907,9,16,16,-0.1395,0.7239,0,,29.973559,31.132838 39,179,4380,2070,1,28,28,9,0.2871,0.5305,0.8605,14,10,14,0.1395,0.8462,1,Chefren (Khafre),29.975563,31.131184 41,203,4382,2094,-1,28,9,28,-0.2851,0.5626,0.8605,16,6,16,0.3023,0.1694,0,,29.975935,31.132086 80,317,4421,2208,1,28,28,8,0.2841,0.5174,0.8372,20,11,20,0.186,0.9167,0,,29.980936,31.135683 42,261,4383,2152,1,28,28,6,0.2816,0.5066,0.7907,15,13,15,0.0465,0.8757,0,,29.976412,31.134357 63,330,4404,2221,1,28,28,6,0.2812,0.5403,0.7907,18,13,18,0.1163,0.6841,0,,29.979153,31.136595 36,77,4377,1968,-1,28,9,28,-0.2804,0.5033,0.8605,9,15,15,-0.186,0.5743,0,,29.974588,31.12722 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35,11,4376,1902,-1,28,9,28,-0.2736,0.4866,0.8605,10,14,14,-0.2093,0.3733,0,,29.97406,31.124633 45,206,4386,2097,1,28,28,7,0.2734,0.5092,0.814,13,12,13,-0.1163,0.9639,0,,29.976393,31.132111 30,9,4371,1900,-1,28,10,28,-0.2722,0.594,0.8837,16,9,16,0.186,0.8783,0,,29.973499,31.124671 39,61,4380,1952,1,28,28,11,0.2711,0.6056,0.907,15,13,15,0.0,0.633,0,,29.974816,31.126517 58,362,4399,2253,1,28,28,8,0.2706,0.539,0.8372,20,7,20,0.3721,0.7325,0,,29.978808,31.137977 6,143,4347,2034,-1,28,5,28,-0.2687,0.4409,0.7674,10,15,15,-0.1395,0.0734,0,,29.971715,31.130533 68,4,4409,1895,1,28,28,10,0.2677,0.587,0.8837,15,11,15,0.186,0.2594,0,,29.977636,31.123582 49,215,4390,2106,1,28,28,9,0.2663,0.5357,0.8605,14,15,15,-0.0233,0.933,0,,29.976889,31.132373 59,245,4400,2136,-1,28,9,28,-0.2658,0.5105,0.8605,11,14,14,-0.1395,0.6063,0,,29.978176,31.133326 45,265,4386,2156,1,28,28,10,0.2647,0.5552,0.8837,10,10,10,0.0233,0.9309,0,,29.976767,31.134445 41,310,4382,2201,1,28,28,7,0.264,0.5039,0.814,11,11,11,0.0233,0.9451,0,,29.976613,31.136318 39,34,4380,1925,1,28,28,11,0.2602,0.6183,0.907,12,10,12,0.0465,0.7926,0,,29.974645,31.125449 57,51,4398,1942,-1,28,10,28,-0.2557,0.5294,0.8837,14,6,14,0.2326,0.0903,0,,29.976727,31.125699 26,171,4367,2062,-1,28,10,28,-0.2545,0.5639,0.8837,8,24,24,-0.5116,0.8329,0,,29.974087,31.131172 56,239,4397,2130,-1,28,9,28,-0.2525,0.538,0.8605,14,12,14,0.0698,0.9271,0,,29.977809,31.133159 50,30,4391,1921,-1,28,9,28,-0.2523,0.5017,0.8605,12,9,12,0.1628,0.6887,0,,29.975826,31.125033 7,224,4348,2115,-1,28,7,28,-0.2508,0.457,0.814,8,14,14,-0.2326,0.4111,0,,29.972338,31.133712 70,144,4411,2035,-1,28,8,28,-0.2483,0.5184,0.8372,11,13,13,0.0233,0.6889,0,,29.978742,31.129073 38,265,4379,2156,-1,28,6,28,-0.2466,0.4574,0.7907,13,16,16,-0.0698,0.7868,0,,29.975999,31.134608 44,277,4385,2168,1,28,28,8,0.2405,0.5308,0.8372,12,11,12,0.0233,0.1692,0,,29.976733,31.134943 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Riassunto della corsa e autoverifiche — meta.json, 16 KB
{
"generato": "2026-09-09 09:21:31",
"programma": "chiralita_3d.py",
"sorgente": "E:\\claude_code\\Biondi_Malanga\\DATA_Ghiza",
"formalismo": "Renzini, Il momento angolare orbitale della luce (Padova 2013/14), Cap. 2 e 4; estensione Ch. 8 (chiralita' spaziale +-l, Malanga 2026); skill renzini-oam-luce",
"oggetto": "un file per strato calcolato dal .tiff in ordine temporale, poi ri-impilati in un volume (epoca, riga, colonna)",
"modi_azimutali": [
-2,
-1,
1,
2
],
"raggi_anello_pixel": [
1,
2
],
"soglia_mano": 0.25,
"date": [
"20260103",
"20260109",
"20260115",
"20260121",
"20260127",
"20260202",
"20260208",
"20260214",
"20260220",
"20260226",
"20260304",
"20260310",
"20260316",
"20260322",
"20260328",
"20260403",
"20260409",
"20260415",
"20260421",
"20260427",
"20260428",
"20260503",
"20260509",
"20260521",
"20260522",
"20260527",
"20260602",
"20260603",
"20260608",
"20260615",
"20260620",
"20260627",
"20260703",
"20260709",
"20260715",
"20260721",
"20260727",
"20260802",
"20260808",
"20260814",
"20260820",
"20260826",
"20260901"
],
"satelliti": [
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1A",
"S1C",
"S1D",
"S1A",
"S1C",
"S1C",
"S1D",
"S1A",
"S1C",
"S1D",
"S1A",
"S1D",
"S1A",
"S1D",
"S1C",
"S1D",
"S1C",
"S1D",
"S1C",
"S1D",
"S1C",
"S1D",
"S1C",
"S1D",
"S1C"
],
"n_strati": 43,
"forma_volume": [
43,
86,
368
],
"coordinate": 31648,
"punti_consegnati": 594,
"elenco": {
"n": 594,
"destrorse": 290,
"sinistrorse": 304,
"percentile_ampiezza_medio": 0.6507,
"percentile_ampiezza_mappa": 0.5,
"su_piramide": 16,
"frazione_piramide_mappa": 0.0682,
"raggio": 2,
"ordine": 1
},
"soglia_pagina": 28,
"seme": 20260909,
"ripetizioni_nullo": 100,
"fatti": [
{
"codice": "F71",
"tipo": "metodo",
"testo": "La catena riparte dai .tiff e non dai CSV: ogni strato e' letto dal suo prodotto nell'ordine temporale, con la stessa finestra F47/F42 della catena, e scritto come file a se'. La sequenza dei file calcolati viene poi ri-impilata in un volume (epoca, riga, colonna), ed e' da quel volume che si rigenera la rappresentazione 3D. Il cambio di sorgente e' verificato sul risultato: la persistenza della carica topologica torna identica a quella di forma_onda_3d.py, che legge i CSV -- 96 coordinate a s >= 22 sull'anello di raggio 1 e 113 a s >= 26 su quello di raggio 2, gli stessi numeri delle due catene."
},
{
"codice": "F72",
"tipo": "misura",
"testo": "La chiralita' di un campo REALE e' identicamente nulla: per u reale vale A_(-l) = conj(A_(+l)), quindi P(+l) = P(-l) e chi = 0 in ogni cella. Il verso vive percio' nella parte immaginaria del pixel complesso, ed e' misurabile solo sul campo intero. Verificato sul dato vero rifacendo il conto sul solo I e sul solo Q."
},
{
"codice": "F73",
"tipo": "limite",
"testo": "L'anello di Chebyshev non e' equispaziato in angolo: il modo l=2 e' risolto dai 16 punti del raggio 2, mentre gli 8 punti del raggio 1 lo campionano al limite. Il segno di chi_2 va quindi letto a raggio 2; a raggio 1 si tiene solo come controllo. La misura sta in autoverifica_chiralita(), non e' un'assunzione."
},
{
"codice": "F74",
"tipo": "statistica",
"testo": "Il nullo del verso e' lo stesso della carica (F63): ogni strato traslato ciclicamente lungo le sole COLONNE. Conserva per ogni data la frazione di celle con mano, il suo profilo per riga e l'autocorrelazione spaziale, e distrugge solo la corrispondenza fra coordinate di date diverse, che e' l'ipotesi da testare."
}
],
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"verso_ok": true
},
{
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},
{
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},
{
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},
{
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},
{
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},
{
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},
{
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},
{
"ordine": 1,
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},
{
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},
{
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},
{
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},
{
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},
{
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{
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{
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{
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{
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{
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{
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],
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{
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{
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},
{
"campo": "solo parte immaginaria Q",
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},
{
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},
{
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},
{
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}
],
"verso": {
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},
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},
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}
},
"carica": {
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"eccesso": 29.447852760736197,
"z": 42.68887219278213,
"densita_positiva": 0.19813001152209184,
"densita_negativa": 0.20102082206598162,
"carica_media": -0.003159757330637007
},
"r2": {
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"attesi_dal_caso": 2.71,
"eccesso": 41.69741697416974,
"z": 63.71995816761786,
"densita_positiva": 0.2862115538363863,
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"carica_media": -0.006334211206997907
}
},
"geometria": {
"impronta": "base quadrata (vista verticale, nadir)",
"celle_su_piramide": 2282,
"incidenza_mediana_deg": 36.8348987181944,
"spaziatura_range_m": 2.329562,
"spaziatura_azimut_m": 13.95295
}
}