diff --git a/kat_test/physics/filter_cavity.kat b/kat_test/physics/filter_cavity.kat
new file mode 100644
index 0000000000000000000000000000000000000000..0b5111484028c00e4806ad68c16d6aad8feff042
--- /dev/null
+++ b/kat_test/physics/filter_cavity.kat
@@ -0,0 +1,22 @@
+sq sq1 0 10 0 nfc1
+
+m1 mfc1 70u 0 0 nfc1 nfc2
+s  sfc1 16 nfc2 nfc3
+m1 mfc2 0 20u -0.001 nfc3 nfc4
+
+sd  sd1 0 nfc1
+sd* sd2 0 nfc1
+
+fsig sig1 sq1 amp 1 0 1
+
+xaxis sig1 f log 1 10k 1000
+
+yaxis abs:deg
+maxtem off
+gnuterm no
+
+
+# bs1 mfc1 70u 0 0 0 nfc1 nfc2 nfc3 nfc4
+# s sfc1 16 nfc3 nfc5
+# s sfc2 16 nfc6 nfc4
+# bs1 mfc2 0 20u -0.001 0 nfc5 nfc6 nfc7 nfc8
\ No newline at end of file
diff --git a/kat_test/physics/homodyne_sd_a.kat b/kat_test/physics/homodyne_sd_a.kat
new file mode 100644
index 0000000000000000000000000000000000000000..b061d21a46b8de6a998720f5a89af9df99ec171a
--- /dev/null
+++ b/kat_test/physics/homodyne_sd_a.kat
@@ -0,0 +1,22 @@
+sq sq1 0 10 0 nd
+l l1 1 0 0 na
+bs bs1 0.5 0.5 0 0 na nb nc nd
+
+sd sdc 0 nc
+sd sdb 0 nb
+
+qnoised qnc 1 $fs nc
+scale PSD_HF qnc
+scale 2 qnc
+
+qnoised qnb 1 $fs nb
+scale PSD_HF qnb
+scale 2 qnb
+
+fsig noise 1
+
+xaxis bs1 phi lin -90 90 180
+#xaxis sq1 angle lin -180 180 180
+#xaxis l1 phase lin -180 180 180
+yaxis abs:deg
+gnuterm no
\ No newline at end of file
diff --git a/kat_test/physics/homodyne_sd_b.kat b/kat_test/physics/homodyne_sd_b.kat
new file mode 100644
index 0000000000000000000000000000000000000000..6f453fb31f7adabd13e713297371e903465df35d
--- /dev/null
+++ b/kat_test/physics/homodyne_sd_b.kat
@@ -0,0 +1,22 @@
+sq sq1 0 10 0 nd
+l l1 1 0 0 na
+bs bs1 0.5 0.5 0 0 na nb nc nd
+
+sd sdc 0 nc
+sd sdb 0 nb
+
+qnoised qnc 1 $fs nc
+scale PSD_HF qnc
+scale 2 qnc
+
+qnoised qnb 1 $fs nb
+scale PSD_HF qnb
+scale 2 qnb
+
+fsig noise 1
+
+#xaxis bs1 phi lin -90 90 180
+xaxis sq1 angle lin -180 180 180
+#xaxis l1 phase lin -180 180 180
+yaxis abs:deg
+gnuterm no
\ No newline at end of file
diff --git a/kat_test/physics/homodyne_sd_c.kat b/kat_test/physics/homodyne_sd_c.kat
new file mode 100644
index 0000000000000000000000000000000000000000..39c15a49114eb3fd6e426f49ea08405b2adbb6ec
--- /dev/null
+++ b/kat_test/physics/homodyne_sd_c.kat
@@ -0,0 +1,22 @@
+sq sq1 0 10 0 nd
+l l1 1 0 0 na
+bs bs1 0.5 0.5 0 0 na nb nc nd
+
+sd sdc 0 nc
+sd sdb 0 nb
+
+qnoised qnc 1 $fs nc
+scale PSD_HF qnc
+scale 2 qnc
+
+qnoised qnb 1 $fs nb
+scale PSD_HF qnb
+scale 2 qnb
+
+fsig noise 1
+
+#xaxis bs1 phi lin -90 90 180
+#xaxis sq1 angle lin -180 180 180
+xaxis l1 phase lin -180 180 180
+yaxis abs:deg
+gnuterm no
\ No newline at end of file
diff --git a/kat_test/physics/reference/filter_cavity.out b/kat_test/physics/reference/filter_cavity.out
new file mode 100644
index 0000000000000000000000000000000000000000..d0232455102be27d14bc3bed8b34c4700ef5c7b2
--- /dev/null
+++ b/kat_test/physics/reference/filter_cavity.out
@@ -0,0 +1,1001 @@
+ 1.00000000000000  8.12919611150117  87.8218370309561  0.746873946604737  87.8218370309561 
+ 1.00925288607668  8.12951250871169  87.8220316158032  0.746875562446161  87.8220316158032 
+ 1.01859138805412  8.12983177891120  87.8222298186432  0.746877208332715  87.8222298186432 
+ 1.02801629812647  8.13015394756996  87.8224317065669  0.746878884798055  87.8224317065669 
+ 1.03752841581801  8.13047904052885  87.8226373481219  0.746880592413853  87.8226373481219 
+ 1.04712854805090  8.13080708382270  87.8228468132109  0.746882331772961  87.8228468132109 
+ 1.05681750921366  8.13113810358014  87.8230601727482  0.746884103440697  87.8230601727482 
+ 1.06659612123026  8.13147212640716  87.8232774994368  0.746885908055816  87.8232774994368 
+ 1.07646521362983  8.13180917880330  87.8234988667574  0.746887746191902  87.8234988667574 
+ 1.08642562361706  8.13214928777429  87.8237243499745  0.746889618489266  87.8237243499745 
+ 1.09647819614318  8.13249248042647  87.8239540256499  0.746891525586132  87.8239540256499 
+ 1.10662378397766  8.13283878412124  87.8241879716875  0.746893468121859  87.8241879716875 
+ 1.11686324778056  8.13318822640047  87.8244262674703  0.746895446751494  87.8244262674703 
+ 1.12719745617551  8.13354083516626  87.8246689940115  0.746897462162995  87.8246689940115 
+ 1.13762728582343  8.13389663840294  87.8249162334902  0.746899515011511  87.8249162334902 
+ 1.14815362149688  8.13425566438231  87.8251680699080  0.746901606003429  87.8251680699080 
+ 1.15877735615512  8.13461794174155  87.8254245888476  0.746903735861123  87.8254245888476 
+ 1.16949939101987  8.13498349915462  87.8256858772787  0.746905905292660  87.8256858772787 
+ 1.18032063565173  8.13535236568984  87.8259520239160  0.746908115036568  87.8259520239160 
+ 1.19124200802737  8.13572457055756  87.8262231191287  0.746910365845379  87.8262231191287 
+ 1.20226443461741  8.13610014331519  87.8264992549615  0.746912658485157  87.8264992549615 
+ 1.21338885046497  8.13647911364044  87.8267805249900  0.746914993711909  87.8267805249900 
+ 1.22461619926504  8.13686151163781  87.8270670249509  0.746917372351789  87.8270670249509 
+ 1.23594743344451  8.13724736740883  87.8273588517565  0.746919795165510  87.8273588517565 
+ 1.24738351424294  8.13763671158698  87.8276561047534  0.746922263012281  87.8276561047534 
+ 1.25892541179416  8.13802957483187  87.8279588846892  0.746924776707490  87.8279588846892 
+ 1.27057410520854  8.13842598821175  87.8282672943938  0.746927337109640  87.8282672943938 
+ 1.28233058265602  8.13882598300236  87.8285814386113  0.746929945093241  87.8285814386113 
+ 1.29419584144998  8.13922959073955  87.8289014239266  0.746932601534782  87.8289014239266 
+ 1.30617088813183  8.13963684311975  87.8292273588868  0.746935307324008  87.8292273588868 
+ 1.31825673855640  8.14004777230601  87.8295593542351  0.746938063391245  87.8295593542351 
+ 1.33045441797808  8.14046241057503  87.8298975226745  0.746940870670318  87.8298975226745 
+ 1.34276496113786  8.14088079049645  87.8302419788694  0.746943730094618  87.8302419788694 
+ 1.35518941235103  8.14130294496010  87.8305928398838  0.746946642650250  87.8305928398838 
+ 1.36772882559584  8.14172890710185  87.8309502248245  0.746949609323744  87.8309502248245 
+ 1.38038426460288  8.14215871028025  87.8313142549101  0.746952631106009  87.8313142549101 
+ 1.39315680294529  8.14259238823033  87.8316850537703  0.746955709027335  87.8316850537703 
+ 1.40604752412990  8.14302997491360  87.8320627473902  0.746958844144276  87.8320627473902 
+ 1.41905752168908  8.14347150446947  87.8324474637815  0.746962037490755  87.8324474637815 
+ 1.43218789927353  8.14391701152071  87.8328393337037  0.746965290168964  87.8328393337037 
+ 1.44543977074592  8.14436653082127  87.8332384901674  0.746968603277068  87.8332384901674 
+ 1.45881426027534  8.14482009738471  87.8336450686063  0.746971977926698  87.8336450686063 
+ 1.47231250243271  8.14527774671364  87.8340592071498  0.746975415274115  87.8340592071498 
+ 1.48593564228700  8.14573951442248  87.8344810463723  0.746978916479881  87.8344810463723 
+ 1.49968483550236  8.14620543639122  87.8349107294116  0.746982482719172  87.8349107294116 
+ 1.51356124843620  8.14667554894405  87.8353484022480  0.746986115213189  87.8353484022480 
+ 1.52756605823806  8.14714988854838  87.8357942133172  0.746989815170851  87.8357942133172 
+ 1.54170045294955  8.14762849209443  87.8362483141328  0.746993583865706  87.8362483141328 
+ 1.55596563160506  8.14811139672059  87.8367108588939  0.746997422577070  87.8367108588939 
+ 1.57036280433354  8.14859863979018  87.8371820044576  0.747001332579948  87.8371820044576 
+ 1.58489319246110  8.14909025909525  87.8376619109170  0.747005315215282  87.8376619109170 
+ 1.59955802861465  8.14958629260638  87.8381507411078  0.747009371817287  87.8381507411078 
+ 1.61435855682647  8.15008677875196  87.8386486611287  0.747013503776261  87.8386486611287 
+ 1.62929603263971  8.15059175616812  87.8391558400121  0.747017712487195  87.8391558400121 
+ 1.64437172321492  8.15110126377644  87.8396724498570  0.747021999360483  87.8396724498570 
+ 1.65958690743754  8.15161534086145  87.8401986660704  0.747026365846804  87.8401986660704 
+ 1.67494287602642  8.15213402704747  87.8407346674288  0.747030813437748  87.8407346674288 
+ 1.69044093164325  8.15265736227537  87.8412806359523  0.747035343641631  87.8412806359523 
+ 1.70608238900311  8.15318538667882  87.8418367568682  0.747039957970490  87.8418367568682 
+ 1.72186857498599  8.15371814086315  87.8424032191385  0.747044658002932  87.8424032191385 
+ 1.73780082874936  8.15425566565566  87.8429802150036  0.747049445315093  87.8429802150036 
+ 1.75388050184174  8.15479800228380  87.8435679403855  0.747054321526328  87.8435679403855 
+ 1.77010895831740  8.15534519227649  87.8441665949612  0.747059288300272  87.8441665949612 
+ 1.78648757485203  8.15589727749138  87.8447763820139  0.747064347316924  87.8447763820139 
+ 1.80301774085955  8.15645430009170  87.8453975085036  0.747069500273311  87.8453975085036 
+ 1.81970085860996  8.15701630259853  87.8460301853765  0.747074748915722  87.8460301853765 
+ 1.83653834334832  8.15758332779241  87.8466746275096  0.747080095023129  87.8466746275096 
+ 1.85353162341479  8.15815541894126  87.8473310536856  0.747085540395835  87.8473310536856 
+ 1.87068214036578  8.15873261952627  87.8479996869045  0.747091086886060  87.8479996869045 
+ 1.88799134909627  8.15931497344469  87.8486807541470  0.747096736358342  87.8486807541470 
+ 1.90546071796322  8.15990252483633  87.8493744867085  0.747102490723154  87.8493744867085 
+ 1.92309172891013  8.16049531833617  87.8500811202580  0.747108351936056  87.8500811202580 
+ 1.94088587759275  8.16109339880074  87.8508008947243  0.747114321971575  87.8508008947243 
+ 1.95884467350596  8.16169681146047  87.8515340545546  0.747120402847833  87.8515340545546 
+ 1.97696964011183  8.16230560194672  87.8522808487417  0.747126596619954  87.8522808487417 
+ 1.99526231496885  8.16291981619358  87.8530415308355  0.747132905370698  87.8530415308355 
+ 2.01372424986236  8.16353950046502  87.8538163592446  0.747139331239463  87.8538163592446 
+ 2.03235701093619  8.16416470150687  87.8546055972024  0.747145876407826  87.8546055972024 
+ 2.05116217882554  8.16479546627371  87.8554095126915  0.747152543077105  87.8554095126915 
+ 2.07014134879101  8.16543184218091  87.8562283788104  0.747159333506634  87.8562283788104 
+ 2.08929613085401  8.16607387695664  87.8570624735554  0.747166249972771  87.8570624735554 
+ 2.10862814993326  8.16672161869377  87.8579120803709  0.747173294829864  87.8579120803709 
+ 2.12813904598268  8.16737511587688  87.8587774877293  0.747180470443206  87.8587774877293 
+ 2.14783047413050  8.16803441740906  87.8596589897415  0.747187779257330  87.8596589897415 
+ 2.16770410481966  8.16869957238931  87.8605568855728  0.747195223705703  87.8605568855728 
+ 2.18776162394952  8.16937063048877  87.8614714804600  0.747202806333715  87.8614714804600 
+ 2.20800473301887  8.17004764162830  87.8624030849498  0.747210529684138  87.8624030849498 
+ 2.22843514927027  8.17073065617990  87.8633520155560  0.747218396371444  87.8633520155560 
+ 2.24905460583574  8.17141972479422  87.8643185945851  0.747226409044675  87.8643185945851 
+ 2.26986485188378  8.17211489867639  87.8653031504647  0.747234570418491  87.8653031504647 
+ 2.29086765276773  8.17281622918949  87.8663060175674  0.747242883234077  87.8663060175674 
+ 2.31206479017556  8.17352376825483  87.8673275366942  0.747251350310765  87.8673275366942 
+ 2.33345806228096  8.17423756805508  87.8683680547028  0.747259974481268  87.8683680547028 
+ 2.35504928389597  8.17495768135948  87.8694279253562  0.747268758690241  87.8694279253562 
+ 2.37684028662484  8.17568416105325  87.8705075085644  0.747277705877329  87.8705075085644 
+ 2.39883291901945  8.17641706063662  87.8716071711384  0.747286819063733  87.8716071711384 
+ 2.42102904673614  8.17715643385384  87.8727272867347  0.747296101327423  87.8727272867347 
+ 2.44343055269393  8.17790233491859  87.8738682357965  0.747305555781038  87.8738682357965 
+ 2.46603933723430  8.17865481846598  87.8750304061799  0.747315185637611  87.8750304061799 
+ 2.48885731828235  8.17941393947986  87.8762141926930  0.747324994133575  87.8762141926930 
+ 2.51188643150953  8.18017975334430  87.8774199975530  0.747334984572346  87.8774199975530 
+ 2.53512863049786  8.18095231584521  87.8786482304420  0.747345160314674  87.8786482304420 
+ 2.55858588690560  8.18173168322163  87.8798993088598  0.747355524808006  87.8798993088598 
+ 2.58226019063455  8.18251791201875  87.8811736577901  0.747366081524386  87.8811736577901 
+ 2.60615354999885  8.18331105936196  87.8824717104177  0.747376834038133  87.8824717104177 
+ 2.63026799189533  8.18411118258714  87.8837939077976  0.747387785962043  87.8837939077976 
+ 2.65460556197549  8.18491833953935  87.8851406993281  0.747398940992686  87.8851406993281 
+ 2.67916832481898  8.18573258845064  87.8865125426717  0.747410302880414  87.8865125426717 
+ 2.70395836410879  8.18655398801576  87.8879099040123  0.747421875444282  87.8879099040123 
+ 2.72897778280799  8.18738259724550  87.8893332583416  0.747433662588926  87.8893332583416 
+ 2.75422870333811  8.18821847569044  87.8907830894854  0.747445668289600  87.8907830894854 
+ 2.77971326775923  8.18906168326957  87.8922598901790  0.747457896580609  87.8922598901790 
+ 2.80543363795166  8.18991228022254  87.8937641623246  0.747470351567838  87.8937641623246 
+ 2.83139199579932  8.19077032735768  87.8952964173247  0.747483037453057  87.8952964173247 
+ 2.85759054337489  8.19163588585607  87.8968571760611  0.747495958508318  87.8968571760611 
+ 2.88403150312655  8.19250901727299  87.8984469690181  0.747509119070182  87.8984469690181 
+ 2.91071711806654  8.19338978358861  87.9000663365672  0.747522523555059  87.9000663365672 
+ 2.93764965196147  8.19427824733219  87.9017158294676  0.747536176502654  87.9017158294676 
+ 2.96483138952428  8.19517447123906  87.9033960081604  0.747550082458413  87.9033960081604 
+ 2.99226463660812  8.19607851881720  87.9051074442669  0.747564246149495  87.9051074442669 
+ 3.01995172040195  8.19699045356215  87.9068507192578  0.747578672281562  87.9068507192578 
+ 3.04789498962792  8.19791033976887  87.9086264261197  0.747593365737631  87.9086264261197 
+ 3.07609681474064  8.19883824201698  87.9104351686593  0.747608331458699  87.9104351686593 
+ 3.10455958812829  8.19977422529473  87.9122775617209  0.747623574447736  87.9122775617209 
+ 3.13328572431551  8.20071835509814  87.9141542318539  0.747639099831547  87.9141542318539 
+ 3.16227766016831  8.20167069728484  87.9160658173533  0.747654912838751  87.9160658173533 
+ 3.19153785510069  8.20263131817315  87.9180129681606  0.747671018760806  87.9180129681606 
+ 3.22106879128336  8.20360028451841  87.9199963464212  0.747687422997248  87.9199963464212 
+ 3.25087297385427  8.20457766353831  87.9220166267916  0.747704131068000  87.9220166267916 
+ 3.28095293113111  8.20556352288921  87.9240744963129  0.747721148568535  87.9240744963129 
+ 3.31131121482583  8.20655793064246  87.9261706550380  0.747738481222457  87.9261706550380 
+ 3.34195040026106  8.20756095535840  87.9283058158999  0.747756134835648  87.9283058158999 
+ 3.37287308658861  8.20857266591619  87.9304807051195  0.747774115318009  87.9304807051195 
+ 3.40408189700993  8.20959313178283  87.9326960625823  0.747792428704189  87.9326960625823 
+ 3.43557947899866  8.21062242274537  87.9349526418806  0.747811081125889  87.9349526418806 
+ 3.46736850452523  8.21166060908216  87.9372512106581  0.747830078826458  87.9372512106581 
+ 3.49945167028349  8.21270776158747  87.9395925510922  0.747849428191542  87.9395925510922 
+ 3.53183169791948  8.21376395142577  87.9419774597099  0.747869135691271  87.9419774597099 
+ 3.56451133426235  8.21482925015659  87.9444067478532  0.747889207907400  87.9444067478532 
+ 3.59749335155733  8.21590372990488  87.9468812423489  0.747909651587791  87.9468812423489 
+ 3.63078054770092  8.21698746309389  87.9494017850528  0.747930473550262  87.9494017850528 
+ 3.66437574647824  8.21808052276103  87.9519692338147  0.747951680775256  87.9519692338147 
+ 3.69828179780257  8.21918298216961  87.9545844621915  0.747973280329297  87.9545844621915 
+ 3.73250157795711  8.22029491531818  87.9572483605609  0.747995279477261  87.9572483605609 
+ 3.76703798983899  8.22141639633437  87.9599618352648  0.748017685528666  87.9599618352648 
+ 3.80189396320551  8.22254750005631  87.9627258101707  0.748040506007204  87.9627258101707 
+ 3.83707245492269  8.22368830157224  87.9655412259715  0.748063748517148  87.9655412259715 
+ 3.87257644921607  8.22483887648658  87.9684090410251  0.748087420815131  87.9684090410251 
+ 3.90840895792391  8.22599930094345  87.9713302317916  0.748111530826826  87.9713302317916 
+ 3.94457302075268  8.22716965133639  87.9743057926571  0.748136086580434  87.9743057926571 
+ 3.98107170553486  8.22835000467010  87.9773367368032  0.748161096280975  87.9773367368032 
+ 4.01790810848929  8.22954043822197  87.9804240961074  0.748186568251740  87.9804240961074 
+ 4.05508535448373  8.23074102992712  87.9835689220499  0.748212511011991  87.9835689220499 
+ 4.09260659729999  8.23195185804010  87.9867722855716  0.748238933211234  87.9867722855716 
+ 4.13047501990150  8.23317300113434  87.9900352773859  0.748265843624665  87.9900352773859 
+ 4.16869383470324  8.23440453848607  87.9933590089617  0.748293251238238  87.9933590089617 
+ 4.20726628384432  8.23564654959212  87.9967446124292  0.748321165185070  87.9967446124292 
+ 4.24619563946301  8.23689911443344  88.0001932407798  0.748349594726475  88.0001932407798 
+ 4.28548520397427  8.23816231347366  88.0037060689695  0.748378549346059  88.0037060689695 
+ 4.32513831034996  8.23943622765756  88.0072842937582  0.748408038679704  88.0072842937582 
+ 4.36515832240153  8.24072093821792  88.0109291342152  0.748438072528545  88.0109291342152 
+ 4.40554863506540  8.24201652691368  88.0146418321779  0.748468660869603  88.0146418321779 
+ 4.44631267469096  8.24332307590843  88.0184236527887  0.748499813871559  88.0184236527887 
+ 4.48745389933119  8.24464066779256  88.0222758847845  0.748531541879286  88.0222758847845 
+ 4.52897579903607  8.24596938555753  88.0261998408888  0.748563855410068  88.0261998408888 
+ 4.57088189614861  8.24730931266547  88.0301968587344  0.748596765218060  88.0301968587344 
+ 4.61317574560365  8.24866053295159  88.0342683005472  0.748630282196471  88.0342683005472 
+ 4.65586093522945  8.25002313076498  88.0384155543274  0.748664417474006  88.0384155543274 
+ 4.69894108605201  8.25139719075171  88.0426400338891  0.748699182359244  88.0426400338891 
+ 4.74241985260230  8.25278279799549  88.0469431794612  0.748734588360272  88.0469431794612 
+ 4.78630092322623  8.25418003799122  88.0513264583047  0.748770647203242  88.0513264583047 
+ 4.83058802039758  8.25558899676087  88.0557913651941  0.748807370834099  88.0557913651941 
+ 4.87528490103371  8.25700976056561  88.0603394226810  0.748844771386293  88.0603394226810 
+ 4.92039535681435  8.25844241609300  88.0649721819522  0.748882861229274  88.0649721819522 
+ 4.96592321450320  8.25988705059582  88.0696912232773  0.748921652962559  88.0696912232773 
+ 5.01187233627256  8.26134375155694  88.0744981563996  0.748961159395507  88.0744981563996 
+ 5.05824662003098  8.26281260687565  88.0793946212240  0.749001393570204  88.0793946212240 
+ 5.10504999975390  8.26429370479314  88.0843822882569  0.749042368748129  88.0843822882569 
+ 5.15228644581740  8.26578713410139  88.0894628594818  0.749084098454803  88.0894628594818 
+ 5.19995996533499  8.26729298385565  88.0946380687548  0.749126596455463  88.0946380687548 
+ 5.24807460249755  8.26881134353582  88.0999096823107  0.749169876748971  88.0999096823107 
+ 5.29663443891640  8.27034230285387  88.1052794993041  0.749213953560495  88.1052794993041 
+ 5.34564359396954  8.27188595212619  88.1107493530365  0.749258841427809  88.1107493530365 
+ 5.39510622515110  8.27344238186885  88.1163211107073  0.749304555086979  88.1163211107073 
+ 5.44502652842403  8.27501168300479  88.1219966748483  0.749351109580228  88.1219966748483 
+ 5.49540873857606  8.27659394676505  88.1277779834591  0.749398520191776  88.1277779834591 
+ 5.54625712957892  8.27818926480111  88.1336670109114  0.749446802483496  88.1336670109114 
+ 5.59757601495091  8.27979772903894  88.1396657685545  0.749495972287253  88.1396657685545 
+ 5.64936974812283  8.28141943186105  88.1457763056583  0.749546045743122  88.1457763056583 
+ 5.70164272280728  8.28305446591351  88.1520007097084  0.749597039248251  88.1520007097084 
+ 5.75439937337137  8.28470292407729  88.1583411073726  0.749648969491780  88.1583411073726 
+ 5.80764417521292  8.28636489964924  88.1647996652500  0.749701853463544  88.1647996652500 
+ 5.86138164514008  8.28804048626572  88.1713785905869  0.749755708452849  88.1713785905869 
+ 5.91561634175453  8.28972977784964  88.1780801322324  0.749810552076716  88.1780801322324 
+ 5.97035286583816  8.29143286862736  88.1849065808920  0.749866402217463  88.1849065808920 
+ 6.02559586074336  8.29314985309874  88.1918602705454  0.749923277106455  88.1918602705454 
+ 6.08135001278696  8.29488082605364  88.1989435788462  0.749981195276704  88.1989435788462 
+ 6.13762005164772  8.29662588256475  88.2061589282155  0.750040175601673  88.2061589282155 
+ 6.19441075076759  8.29838511800345  88.2135087864176  0.750100237266528  88.2135087864176 
+ 6.25172692775663  8.30015862805532  88.2209956678269  0.750161399825310  88.2209956678269 
+ 6.30957344480170  8.30194650850427  88.2286221337198  0.750223683128640  88.2286221337198 
+ 6.36795520907892  8.30374885557149  88.2363907938070  0.750287107415318  88.2363907938070 
+ 6.42687717316996  8.30556576556064  88.2443043066285  0.750351693246843  88.2443043066285 
+ 6.48634433548214  8.30739733521855  88.2523653809073  0.750417461572438  88.2523653809073 
+ 6.54636174067251  8.30924366126566  88.2605767761034  0.750484433677519  88.2605767761034 
+ 6.60693448007571  8.31110484082485  88.2689413036942  0.750552631236081  88.2689413036942 
+ 6.66806769213597  8.31298097115898  88.2774618279700  0.750622076288468  88.2774618279700 
+ 6.72976656284292  8.31487214973066  88.2861412670775  0.750692791253310  88.2861412670775 
+ 6.79203632617159  8.31677847421549  88.2949825942448  0.750764798959368  88.2949825942448 
+ 6.85488226452635  8.31870004240069  88.3039888383802  0.750838122593635  88.3039888383802 
+ 6.91830970918910  8.32063695238085  88.3131630857544  0.750912785789222  88.3131630857544 
+ 6.98232404077144  8.32258930225028  88.3225084804077  0.750988812540776  88.3225084804077 
+ 7.04693068967120  8.32455719036667  88.3320282258229  0.751066227287181  88.3320282258229 
+ 7.11213513653301  8.32654071520304  88.3417255857700  0.751145054879777  88.3417255857700 
+ 7.17794291271334  8.32853997526847  88.3516038852693  0.751225320564110  88.3516038852693 
+ 7.24435960074962  8.33055506934697  88.3616665124570  0.751307050078495  88.3616665124570 
+ 7.31139083483388  8.33258609616734  88.3719169189600  0.751390269551462  88.3719169189600 
+ 7.37904230129072  8.33463315468657  88.3823586216429  0.751475005580404  88.3823586216429 
+ 7.44731973905959  8.33669634378269  88.3929952035304  0.751561285192851  88.3929952035304 
+ 7.51622894018175  8.33877576262718  88.4038303154807  0.751649135911614  88.4038303154807 
+ 7.58577575029153  8.34087151017444  88.4148676769588  0.751738585687396  88.4148676769588 
+ 7.65596606911225  8.34298368564595  88.4261110778092  0.751829662972446  88.4261110778092 
+ 7.72680585095671  8.34511238815544  88.4375643793035  0.751922396683946  88.4375643793035 
+ 7.79830110523227  8.34725771692066  88.4492315156386  0.752016816231696  88.4492315156386 
+ 7.87045789695066  8.34941977109170  88.4611164953580  0.752112951525742  88.4611164953580 
+ 7.94328234724249  8.35159864980428  88.4732234026277  0.752210832966546  88.4732234026277 
+ 8.01678063387646  8.35379445216507  88.4855563986861  0.752310491452231  88.4855563986861 
+ 8.09095899178349  8.35600727732610  88.4981197237111  0.752411958436822  88.4981197237111 
+ 8.16582371358558  8.35823722426795  88.5109176978277  0.752515265870823  88.5109176978277 
+ 8.24138115012968  8.36048439196320  88.5239547228186  0.752620446234106  88.5239547228186 
+ 8.31763771102636  8.36274887922643  88.5372352838329  0.752727532558772  88.5372352838329 
+ 8.39459986519362  8.36503078478732  88.5507639505834  0.752836558388154  88.5507639505834 
+ 8.47227414140560  8.36733020736261  88.5645453798236  0.752947557892898  88.5645453798236 
+ 8.55066712884647  8.36964724535021  88.5785843158409  0.753060565726177  88.5785843158409 
+ 8.62978547766933  8.37198199712304  88.5928855930633  0.753175617152480  88.5928855930633 
+ 8.70963589956043  8.37433456074515  88.6074541373123  0.753292747990458  88.6074541373123 
+ 8.79022516830847  8.37670503426367  88.6222949680182  0.753411994684262  88.6222949680182 
+ 8.87156012037923  8.37909351538062  88.6374131994057  0.753533394228507  88.6374131994057 
+ 8.95364765549555  8.38150010156721  88.6528140426989  0.753656984225894  88.6528140426989 
+ 9.03649473722262  8.38392489008872  88.6685028079683  0.753782802893662  88.6685028079683 
+ 9.12010839355870  8.38636797798464  88.6844849060947  0.753910889079157  88.6844849060947 
+ 9.20449571753131  8.38882946193913  88.7007658505100  0.754041282240381  88.7007658505100 
+ 9.28966386779895  8.39130943821756  88.7173512590709  0.754174022439849  88.7173512590709 
+ 9.37562006925838  8.39380800303980  88.7342468567072  0.754309150440101  88.7342468567072 
+ 9.46237161365751  8.39632525199036  88.7514584766460  0.754446707594944  88.7514584766460 
+ 9.54992586021393  8.39886128043458  88.7689920631211  0.754586735943503  88.7689920631211 
+ 9.63829023623927  8.40141618336536  88.7868536732902  0.754729278187556  88.7868536732902 
+ 9.72747223776921  8.40399005518572  88.8050494792577  0.754874377675118  88.8050494792577 
+ 9.81747943019940  8.40658299005592  88.8235857706570  0.755022078461535  88.8235857706570 
+ 9.90831944892722  8.40919508154473  88.8424689566649  0.755172425278134  88.8424689566649 
+ 9.99999999999954  8.41182642286631  88.8617055685047  0.755325463569763  88.8617055685047 
+ 10.0925288607664  8.41447710657533  88.8813022613743  0.755481239442315  88.8813022613743 
+ 10.1859138805407  8.41714722475946  88.9012658173429  0.755639799736849  88.9012658173429 
+ 10.2801629812643  8.41983686890697  88.9216031475427  0.755801192002045  88.9216031475427 
+ 10.3752841581796  8.42254613005382  88.9423212949619  0.755965464542375  88.9423212949619 
+ 10.4712854805085  8.42527509852198  88.9634274364504  0.756132666352045  88.9634274364504 
+ 10.5681750921361  8.42802386398017  88.9849288859090  0.756302847197699  88.9849288859090 
+ 10.6659612123021  8.43079251554606  89.0068330965289  0.756476057577518  89.0068330965289 
+ 10.7646521362978  8.43358114152469  89.0291476636787  0.756652348745372  89.0291476636787 
+ 10.8642562361701  8.43638982959536  89.0518803276802  0.756831772725305  89.0518803276802 
+ 10.9647819614313  8.43921866665637  89.0750389764636  0.757014382295871  89.0750389764636 
+ 11.0662378397761  8.44206773888246  89.0986316486138  0.757200231021131  89.0986316486138 
+ 11.1686324778051  8.44493713161189  89.1226665361799  0.757389373240946  89.1226665361799 
+ 11.2719745617546  8.44782692938164  89.1471519878153  0.757581864098616  89.1471519878153 
+ 11.3762728582338  8.45073721581420  89.1720965114171  0.757777759495121  89.1720965114171 
+ 11.4815362149683  8.45366807377803  89.1975087778894  0.757977116182439  89.1975087778894 
+ 11.5877735615507  8.45661958512596  89.2233976236660  0.758179991683874  89.2233976236660 
+ 11.6949939101981  8.45959183077086  89.2497720541630  0.758386444330928  89.2497720541630 
+ 11.8032063565167  8.46258489075958  89.2766412473934  0.758596533311932  89.2766412473934 
+ 11.9124200802732  8.46559884399087  89.3040145567224  0.758810318596433  89.3040145567224 
+ 12.0226443461735  8.46863376843522  89.3319015146884  0.759027860996712  89.3319015146884 
+ 12.1338885046492  8.47168974093602  89.3603118363263  0.759249222147754  89.3603118363263 
+ 12.2461619926499  8.47476683728173  89.3892554229842  0.759474464546802  89.3892554229842 
+ 12.3594743344445  8.47786513209022  89.4187423654767  0.759703651496799  89.4187423654767 
+ 12.4738351424288  8.48098469883825  89.4487829481302  0.759936847155054  89.4487829481302 
+ 12.5892541179410  8.48412560991031  89.4793876527906  0.760174116568667  89.4793876527906 
+ 12.7057410520848  8.48728793619397  89.5105671616556  0.760415525541770  89.5105671616556 
+ 12.8233058265596  8.49047174758183  89.5423323624842  0.760661140813557  89.5423323624842 
+ 12.9419584144992  8.49367711254538  89.5746943517556  0.760911029945768  89.5746943517556 
+ 13.0617088813177  8.49690409824444  89.6076644388077  0.761165261336968  89.6076644388077 
+ 13.1825673855634  8.50015277041022  89.6412541503979  0.761423904271944  89.6412541503979 
+ 13.3045441797802  8.50342319351364  89.6754752344015  0.761687028862787  89.6754752344015 
+ 13.4276496113779  8.50671543042358  89.7103396644512  0.761954706080161  89.7103396644512 
+ 13.5518941235097  8.51002954261512  89.7458596443973  0.762227007768273  89.7458596443973 
+ 13.6772882559578  8.51336559009166  89.7820476125121  0.762504006608461  89.7820476125121 
+ 13.8038426460281  8.51672363122638  89.8189162461649  0.762785776127167  89.8189162461649 
+ 13.9315680294523  8.52010372282633  89.8564784664991  0.763072390699686  89.8564784664991 
+ 14.0604752412984  8.52350592009443  89.8947474432013  0.763363925550287  89.8947474432013 
+ 14.1905752168902  8.52693027649101  89.9337365990303  0.763660456707777  89.9337365990303 
+ 14.3218789927347  8.53037684389604  89.9734596153898  0.763962061087376  89.9734596153898 
+ 14.4543977074585  8.53384567244938 -89.9860695634119  0.764268816388010 -89.9860695634119 
+ 14.5881426027527  8.53733681033290 -89.9448367246298  0.764580801132088 -89.9448367246298 
+ 14.7231250243264  8.54085030409000 -89.9028273819791  0.764898094657218 -89.9028273819791 
+ 14.8593564228693  8.54438619836626 -89.8600267702834  0.765220777106818 -89.8600267702834 
+ 14.9968483550229  8.54794453583045 -89.8164198402900  0.765548929392928 -89.8164198402900 
+ 15.1356124843613  8.55152535733202 -89.7719912528921  0.765882633226585 -89.7719912528921 
+ 15.2756605823799  8.55512870160388 -89.7267253738520  0.766221971057939 -89.7267253738520 
+ 15.4170045294948  8.55875460547786 -89.6806062678347  0.766567026104742 -89.6806062678347 
+ 15.5596563160499  8.56240310366635 -89.6336176927163  0.766917882318446 -89.6336176927163 
+ 15.7036280433347  8.56607422879966 -89.5857430937510  0.767274624362425 -89.5857430937510 
+ 15.8489319246103  8.56976801130651 -89.5369655975777  0.767637337590108 -89.5369655975777 
+ 15.9955802861458  8.57348447956674 -89.4872680058305  0.768006108067132 -89.4872680058305 
+ 16.1435855682640  8.57722365950043 -89.4366327896176  0.768381022451879 -89.4366327896176 
+ 16.2929603263963  8.58098557501053 -89.3850420823046  0.768762168100459 -89.3850420823046 
+ 16.4437172321484  8.58477024755282 -89.3324776736599  0.769149632957838 -89.3324776736599 
+ 16.5958690743747  8.58857769617178 -89.2789210033172  0.769543505534443 -89.2789210033172 
+ 16.7494287602634  8.59240793770727 -89.2243531539007  0.769943874915490 -89.2243531539007 
+ 16.9044093164317  8.59626098632956 -89.1687548444664  0.770350830691439 -89.1687548444664 
+ 17.0608238900303  8.60013685391792 -89.1121064234184  0.770764462968469 -89.1121064234184 
+ 17.2186857498591  8.60403554974935 -89.0543878617930  0.771184862292651 -89.0543878617930 
+ 17.3780082874928  8.60795708039986 -88.9955787463027  0.771612119595638 -88.9955787463027 
+ 17.5388050184166  8.61190145006122 -88.9356582714661  0.772046326253105 -88.9356582714661 
+ 17.7010895831732  8.61586866017493 -88.8746052330301  0.772487573942153 -88.8746052330301 
+ 17.8648757485195  8.61985870935264 -88.8123980205668  0.772935954595227 -88.8123980205668 
+ 18.0301774085947  8.62387159372727 -88.7490146089679  0.773391560491093 -88.7490146089679 
+ 18.1970085860988  8.62790730634670 -88.6844325524314  0.773854483984887 -88.6844325524314 
+ 18.3653834334824  8.63196583769220 -88.6186289752063  0.774324817666638 -88.6186289752063 
+ 18.5353162341470  8.63604717520520 -88.5515805648650  0.774802654152849 -88.5515805648650 
+ 18.7068214036569  8.64015130350505 -88.4832635634688  0.775288086150017 -88.4832635634688 
+ 18.8799134909618  8.64427820414186 -88.4136537606411  0.775781206248013 -88.4136537606411 
+ 19.0546071796314  8.64842785577542 -88.3427264842916  0.776282107005932 -88.3427264842916 
+ 19.2309172891005  8.65260023394745 -88.2704565932018  0.776790880776040 -88.2704565932018 
+ 19.4088587759266  8.65679531116763 -88.1968184683511  0.777307619681241 -88.1968184683511 
+ 19.5884467350587  8.66101305677908 -88.1217860045359  0.777832415532877 -88.1217860045359 
+ 19.7696964011174  8.66525343689837 -88.0453326022252  0.778365359707710 -88.0453326022252 
+ 19.9526231496876  8.66951641448247 -87.9674311585144  0.778906543128353 -87.9674311585144 
+ 20.1372424986227  8.67380194930382 -87.8880540586925  0.779456056150537 -87.8880540586925 
+ 20.3235701093610  8.67810999770994 -87.8071731677644  0.780013988433880 -87.8071731677644 
+ 20.5116217882544  8.68244051272707 -87.7247598214182  0.780580428883972 -87.7247598214182 
+ 20.7014134879092  8.68679344410787 -87.6407848172032  0.781155465554537 -87.6407848172032 
+ 20.8929613085391  8.69116873800437 -87.5552184060795  0.781739185476486 -87.5552184060795 
+ 21.0862814993316  8.69556633723160 -87.4680302829603  0.782331674628133 -87.4680302829603 
+ 21.2813904598258  8.69998618108419 -87.3791895779925  0.782933017785304 -87.3791895779925 
+ 21.4783047413040  8.70442820527933 -87.2886648479912  0.783543298349655 -87.2886648479912 
+ 21.6770410481956  8.70889234191816 -87.1964240669941  0.784162598281458 -87.1964240669941 
+ 21.8776162394942  8.71337851962239 -87.1024346173050  0.784790997973893 -87.1024346173050 
+ 22.0800473301876  8.71788666321495 -87.0066632810454  0.785428576039445 -87.0066632810454 
+ 22.2843514927017  8.72241669387563 -86.9090762310210  0.786075409201090 -86.9090762310210 
+ 22.4905460583564  8.72696852898191 -86.8096390218891  0.786731572131456 -86.8096390218891 
+ 22.6986485188368  8.73154208222880 -86.7083165810672  0.787397137338851 -86.7083165810672 
+ 22.9086765276763  8.73613726347111 -86.6050732006972  0.788072174910923 -86.6050732006972 
+ 23.1206479017545  8.74075397868887 -86.4998725285624  0.788756752402258 -86.4998725285624 
+ 23.3345806228086  8.74539213007264 -86.3926775595973  0.789450934661196 -86.3926775595973 
+ 23.5504928389586  8.75005161581833 -86.2834506280979  0.790154783565232 -86.2834506280979 
+ 23.7684028662473  8.75473233018022 -86.1721533992276  0.790868357872050 -86.1721533992276 
+ 23.9883291901934  8.75943416343869 -86.0587468609448  0.791591713030594 -86.0587468609448 
+ 24.2102904673603  8.76415700193590 -85.9431913166046  0.792324900929952 -85.9431913166046 
+ 24.4343055269382  8.76890072787661 -85.8254463774235  0.793067969679671 -85.8254463774235 
+ 24.6603933723418  8.77366521946699 -85.7054709551858  0.793820963403477 -85.7054709551858 
+ 24.8885731828223  8.77845035078494 -85.5832232559193  0.794583921928848 -85.5832232559193 
+ 25.1188643150942  8.78325599178596 -85.4586607726328  0.795356880642560 -85.4586607726328 
+ 25.3512863049774  8.78808200827623 -85.3317402800386  0.796139870130805 -85.3317402800386 
+ 25.5858588690548  8.79292826190321 -85.2024178287451  0.796932915937539 -85.2024178287451 
+ 25.8226019063443  8.79779461003255 -85.0706487400515  0.797736038294248 -85.0706487400515 
+ 26.0615354999873  8.80268090590492 -84.9363876014042  0.798549251837931 -84.9363876014042 
+ 26.3026799189521  8.80758699851433 -84.7995882626002  0.799372565286612 -84.7995882626002 
+ 26.5460556197537  8.81251273244150 -84.6602038327277  0.800205981091183 -84.6602038327277 
+ 26.7916832481886  8.81745794817404 -84.5181866769314  0.801049495217830 -84.5181866769314 
+ 27.0395836410867  8.82242248166757 -84.3734884157514  0.801903096646341 -84.3734884157514 
+ 27.2897778280786  8.82740616477871 -84.2260599229686  0.802766767209712 -84.2260599229686 
+ 27.5422870333798  8.83240882489507 -84.0758513268467  0.803640481055311 -84.0758513268467 
+ 27.7971326775911  8.83743028503338 -83.9228120100366  0.804524204429265 -83.9228120100366 
+ 28.0543363795153  8.84247036387338 -83.7668906128753  0.805417895135507 -83.7668906128753 
+ 28.3139199579919  8.84752887568221 -83.6080350356072  0.806321502281019 -83.6080350356072 
+ 28.5759054337476  8.85260563044458 -83.4461924436158  0.807234965782508 -83.4461924436158 
+ 28.8403150312641  8.85770043358712 -83.2813092730650  0.808158215970691 -83.2813092730650 
+ 29.1071711806641  8.86281308619031 -83.1133312386433  0.809091173117287 -83.1133312386433 
+ 29.3764965196133  8.86794338493461 -82.9422033423068  0.810033747015753 -82.9422033423068 
+ 29.6483138952414  8.87309112203414 -82.7678698836959  0.810985836551753 -82.7678698836959 
+ 29.9226463660799  8.87825608531077 -82.5902744731182  0.811947329161251 -82.5902744731182 
+ 30.1995172040181  8.88343805811609 -82.4093600459719  0.812918100336819 -82.4093600459719 
+ 30.4789498962778  8.88863681940810 -82.2250688786573  0.813898013210916 -82.2250688786573 
+ 30.7609681474050  8.89385214376741 -82.0373426077312  0.814886917977430 -82.0373426077312 
+ 31.0455958812814  8.89908380123522 -81.8461222512562  0.815884651312891 -81.8461222512562 
+ 31.3328572431537  8.90433155750013 -81.6513482317047  0.816891035937913 -81.6513482317047 
+ 31.6227766016816  8.90959517388911 -81.4529604025000  0.817905880017949 -81.4529604025000 
+ 31.9153785510054  8.91487440721309 -81.2508980776447  0.818928976505024 -81.2508980776447 
+ 32.2106879128321  8.92016900998613 -81.0451000626451  0.819960102735613 -81.0451000626451 
+ 32.5087297385412  8.92547873036288 -80.8355046907992  0.820999019682134 -80.8355046907992 
+ 32.8095293113096  8.93080331196389 -80.6220498617236  0.822045471352345 -80.6220498617236 
+ 33.1131121482568  8.93614249430127 -80.4046730826402  0.823099184326230 -80.4046730826402 
+ 33.4195040026091  8.94149601244607 -80.1833115156269  0.824159866912844 -80.1833115156269 
+ 33.7287308658845  8.94686359703721 -79.9579020268372  0.825227208612261 -79.9579020268372 
+ 34.0408189700977  8.95224497467750 -79.7283812401602  0.826300879543793 -79.7283812401602 
+ 34.3557947899850  8.95763986751253 -79.4946855966894  0.827380529604802 -79.4946855966894 
+ 34.6736850452507  8.96304799354420 -79.2567514169141  0.828465787941533 -79.2567514169141 
+ 34.9945167028333  8.96846906658684 -79.0145149687658  0.829556262232408 -79.0145149687658 
+ 35.3183169791932  8.97390279618581 -78.7679125408238  0.830651537936029 -78.7679125408238 
+ 35.6451133426219  8.97934888780537 -78.5168805197113  0.831751177713946 -78.5168805197113 
+ 35.9749335155717  8.98480704280668 -78.2613554740545  0.832854720656890 -78.2613554740545 
+ 36.3078054770075  8.99027695848470 -78.0012742435452  0.833961681599603 -78.0012742435452 
+ 36.6437574647807  8.99575832809347 -77.7365740339116  0.835071550425961 -77.7365740339116 
+ 36.9828179780240  9.00125084079251 -77.4671925182276  0.836183791322404 -77.4671925182276 
+ 37.3250157795694  9.00675418204427 -77.1930679435736  0.837297842205783 -77.1930679435736 
+ 37.6703798983882  9.01226803314237 -76.9141392458818  0.838413113816307 -76.9141392458818 
+ 38.0189396320534  9.01779207168073 -76.6303461692922  0.839528989216950 -76.6303461692922 
+ 38.3707245492251  9.02332597139995 -76.3416293938278  0.840644822999950 -76.3416293938278 
+ 38.7257644921589  9.02886940234641 -76.0479306693113  0.841759940625020 -76.0479306693113 
+ 39.0840895792374  9.03442203072777 -75.7491929564206  0.842873637735324 -75.7491929564206 
+ 39.4457302075250  9.03998351928682 -75.4453605744792  0.843985179563493 -75.4453605744792 
+ 39.8107170553468  9.04555352700441 -75.1363793571079  0.845093800196019 -75.1363793571079 
+ 40.1790810848910  9.05113170951388 -74.8221968140902  0.846198702052937 -74.8221968140902 
+ 40.5508535448354  9.05671771883804 -74.5027623012280  0.847299055203519 -74.5027623012280 
+ 40.9260659729981  9.06231120373926 -74.1780271965657  0.848393996854246 -74.1780271965657 
+ 41.3047501990131  9.06791180955449 -73.8479450840523  0.849482630755994 -73.8479450840523 
+ 41.6869383470304  9.07351917836829 -73.5124719435642  0.850564026736012 -73.5124719435642 
+ 42.0726628384413  9.07913294913426 -73.1715663479052  0.851637220164188 -73.1715663479052 
+ 42.4619563946281  9.08475275764734 -72.8251896656449  0.852701211560708 -72.8251896656449 
+ 42.8548520397408  9.09037823667026 -72.4733062701119  0.853754966188506 -72.4733062701119 
+ 43.2513831034976  9.09600901596198 -72.1158837538768  0.854797413691184 -72.1158837538768 
+ 43.6515832240133  9.10164472259116 -71.7528931479105  0.855827447856361 -71.7528931479105 
+ 44.0554863506520  9.10728498051384 -71.3843091459774  0.856843926229627 -71.3843091459774 
+ 44.4631267469075  9.11292941124672 -71.0101103313588  0.857845670142308 -71.0101103313588 
+ 44.8745389933098  9.11857763356041 -70.6302794079893  0.858831464434438 -70.6302794079893 
+ 45.2897579903586  9.12422926366622 -70.2448034329211  0.859800057452771 -70.2448034329211 
+ 45.7088189614840  9.12988391536573 -69.8536740498660  0.860750161178153 -69.8536740498660 
+ 46.1317574560344  9.13554120009398 -69.4568877236364  0.861680451177699 -69.4568877236364 
+ 46.5586093522923  9.14120072698972 -69.0544459727681  0.862589566938499 -69.0544459727681 
+ 46.9894108605179  9.14686210307305 -68.6463556004023  0.863476112119949 -68.6463556004023 
+ 47.4241985260208  9.15252493322531 -68.2326289216882  0.864338654898404 -68.2326289216882 
+ 47.8630092322602  9.15818882040468 -67.8132839858922  0.865175728550805 -67.8132839858922 
+ 48.3058802039735  9.16385336561977 -67.3883447926563  0.865985831917901 -67.3883447926563 
+ 48.7528490103349  9.16951816822653 -66.9578414996176  0.866767430255019 -66.9578414996176 
+ 49.2039535681413  9.17518282576969 -66.5218106210812  0.867518955965959 -66.5218106210812 
+ 49.6592321450298  9.18084693437186 -66.0802952148751  0.868238809621944 -66.0802952148751 
+ 50.1187233627233  9.18651008856969 -65.6333450567046  0.868925360926819 -65.6333450567046 
+ 50.5824662003074  9.19217188162472 -65.1810167992029  0.869576950046804 -65.1810167992029 
+ 51.0504999975366  9.19783190555420 -64.7233741147879  0.870191888924412 -64.7233741147879 
+ 51.5228644581716  9.20348975117726 -64.2604878201808  0.870768462663423 -64.2604878201808 
+ 51.9995996533475  9.20914500844540 -63.7924359805197  0.871304931350146 -63.7924359805197 
+ 52.4807460249731  9.21479726619791 -63.3193039922603  0.871799531620376 -63.3193039922603 
+ 52.9663443891616  9.22044611270913 -62.8411846419677  0.872250478770311 -62.8411846419677 
+ 53.4564359396929  9.22609113538531 -62.3581781408092  0.872655968705571 -62.3581781408092 
+ 53.9510622515085  9.23173192120281 -61.8703921320788  0.873014180285296 -61.8703921320788 
+ 54.4502652842378  9.23736805666588 -61.3779416713075  0.873323277621997 -61.3779416713075 
+ 54.9540873857581  9.24299912794764 -60.8809491774820  0.873581412734567 -60.8809491774820 
+ 55.4625712957867  9.24862472104120 -60.3795443542464  0.873786728151049 -60.3795443542464 
+ 55.9757601495065  9.25424442183905 -59.8738640808227  0.873937359893440 -59.8738640808227 
+ 56.4936974812257  9.25985781628574 -59.3640522715403  0.874031440427938 -59.3640522715403 
+ 57.0164272280702  9.26546449051966 -58.8502597040502  0.874067101850520 -58.8502597040502 
+ 57.5439937337110  9.27106403093511 -58.3326438163495  0.874042479279771 -58.3326438163495 
+ 58.0764417521265  9.27665602431659 -57.8113684722675  0.873955714245496 -57.8113684722675 
+ 58.6138164513981  9.28224005805141 -57.2866036966752  0.873804958426517 -57.2866036966752 
+ 59.1561634175426  9.28781572015402 -56.7585253805149  0.873588377269746 -56.7585253805149 
+ 59.7035286583788  9.29338259937220 -56.2273149577221  0.873304154005529 -56.2273149577221 
+ 60.2559586074308  9.29894028544746 -55.6931590541111  0.872950493572836 -55.6931590541111 
+ 60.8135001278668  9.30448836908455 -55.1562491113729  0.872525626781242 -55.1562491113729 
+ 61.3762005164744  9.31002644217295 -54.6167809868706  0.872027814502584 -54.6167809868706 
+ 61.9441075076730  9.31555409786384 -54.0749545324065  0.871455352022978 -54.0749545324064 
+ 62.5172692775634  9.32107093078804 -53.5309731535716  0.870806573418212 -53.5309731535716 
+ 63.0957344480141  9.32657653696615 -52.9850433529620  0.870079855957141 -52.9850433529620 
+ 63.6795520907863  9.33207051422085 -52.4373742596318  0.869273624697858 -52.4373742596318 
+ 64.2687717316967  9.33755246203256 -51.8881771478824  0.868386356922164 -51.8881771478824 
+ 64.8634433548184  9.34302198187388 -51.3376649487849  0.867416586831892 -51.3376649487849 
+ 65.4636174067221  9.34847867717760 -50.7860517562532  0.866362909922709 -50.7860517562532 
+ 66.0693448007541  9.35392215355853 -50.2335523330249  0.865223987693692 -50.2335523330249 
+ 66.6806769213566  9.35935201888992 -49.6803816172776  0.863998552039823 -49.6803816172776 
+ 67.2976656284261  9.36476788338994 -49.1267542346943  0.862685409716257 -49.1267542346943 
+ 67.9203632617128  9.37016935988120 -48.5728840182772  0.861283446757352 -48.5728840182772 
+ 68.5488226452604  9.37555606369252 -48.0189835388805  0.859791632684594 -48.0189835388805 
+ 69.1830970918878  9.38092761298517 -47.4652636488214  0.858209024666228 -47.4652636488214 
+ 69.8232404077113  9.38628362877399 -46.9119330422515  0.856534771571575 -46.9119330422515 
+ 70.4693068967087  9.39162373499377 -46.3591978332846  0.854768117781273 -46.3591978332846 
+ 71.1213513653269  9.39694755873179 -45.8072611546183  0.852908406877456 -45.8072611546183 
+ 71.7794291271300  9.40225473024878 -45.2563227782817  0.850955085047979 -45.2563227782817 
+ 72.4435960074928  9.40754488314097 -44.7065787612180  0.848907704451436 -44.7065787612180 
+ 73.1139083483355  9.41281765437757 -44.1582211145841  0.846765926084707 -44.1582211145841 
+ 73.7904230129038  9.41807268457139 -43.6114375003749  0.844529522618917 -43.6114375003749 
+ 74.4731973905925  9.42330961786088 -43.0664109545189  0.842198380771766 -43.0664109545189 
+ 75.1622894018141  9.42852810222427 -42.5233196380223  0.839772503581981 -42.5233196380223 
+ 75.8577575029118  9.43372778941708 -41.9823366146328  0.837252012107343 -41.9823366146328 
+ 76.5596606911190  9.43890833520826 -41.4436296576853  0.834637147082271 -41.4436296576853 
+ 77.2680585095636  9.44406939940955 -40.9073610830524  0.831928270004478 -40.9073610830524 
+ 77.9830110523191  9.44921064596710 -40.3736876100314  0.829125864021611 -40.3736876100314 
+ 78.7045789695030  9.45433174306623 -39.8427602474221  0.826230534326656 -39.8427602474221 
+ 79.4328234724212  9.45943236330781 -39.3147242065048  0.823243008396349 -39.3147242065047 
+ 80.1678063387609  9.46451218365078 -38.7897188360378  0.820164135504679 -38.7897188360378 
+ 80.9095899178312  9.46957088559302 -38.2678775830600  0.816994886245715 -38.2678775830600 
+ 81.6582371358521  9.47460815529467 -37.7493279739657  0.813736351456050 -37.7493279739657 
+ 82.4138115012930  9.47962368356183 -37.2341916162047  0.810389740733305 -37.2341916162047 
+ 83.1763771102598  9.48461716601001 -36.7225842200243  0.806956380731259 -36.7225842200243 
+ 83.9459986519323  9.48958830313679 -36.2146156370927  0.803437712965038 -36.2146156370927 
+ 84.7227414140522  9.49453680031640 -35.7103899156568  0.799835291274582 -35.7103899156568 
+ 85.5066712884608  9.49946236800905 -35.2100053703704  0.796150778983769 -35.2100053703704 
+ 86.2978547766894  9.50436472172258 -34.7135546653866  0.792385945661200 -34.7135546653866 
+ 87.0963589956003  9.50924358214594 -34.2211249088889  0.788542663558605 -34.2211249088890 
+ 87.9022516830806  9.51409867520327 -33.7327977585312  0.784622903781066 -33.7327977585312 
+ 88.7156012037882  9.51892973209296 -33.2486495353600  0.780628732102338 -33.2486495353600 
+ 89.5364765549514  9.52373648938428 -32.7687513453966  0.776562304517426 -32.7687513453966 
+ 90.3649473722220  9.52851868907067 -32.2931692080629  0.772425862575137 -32.2931692080629 
+ 91.2010839355828  9.53327607860773 -31.8219641894433  0.768221728426068 -31.8219641894433 
+ 92.0449571753089  9.53800841097511 -31.3551925398186  0.763952299676671 -31.3551925398186 
+ 92.8966386779852  9.54271544476009 -30.8929058342249  0.759620044046665 -30.8929058342249 
+ 93.7562006925796  9.54739694416838 -30.4351511156481  0.755227493891311 -30.4351511156481 
+ 94.6237161365708  9.55205267905267 -29.9819710389522  0.750777240519716 -29.9819710389522 
+ 95.4992586021349  9.55668242504886 -29.5334040158219  0.746271928469373 -29.5334040158219 
+ 96.3829023623883  9.56128596348729 -29.0894843595520  0.741714249634290 -29.0894843595520 
+ 97.2747223776876  9.56586308154107 -28.6502424290882  0.737106937379082 -28.6502424290882 
+ 98.1747943019895  9.57041357221169 -28.2157047717185  0.732452760567158 -28.2157047717185 
+ 99.0831944892677  9.57493723432632 -27.7858942642757  0.727754517603137 -27.7858942642757 
+ 99.9999999999908  9.57943387266711 -27.3608302523314  0.723015030527163 -27.3608302523314 
+ 100.925288607659  9.58390329788591 -26.9405286863954  0.718237139039526 -26.9405286863954 
+ 101.859138805402  9.58834532659237 -26.5250022561157  0.713423694701182 -26.5250022561157 
+ 102.801629812638  9.59275978137937 -26.1142605212792  0.708577555175841 -26.1142605212792 
+ 103.752841581792  9.59714649078986 -25.7083100393079  0.703701578523447 -25.7083100393079 
+ 104.712854805080  9.60150528938795 -25.3071544902636  0.698798617722614 -25.3071544902636 
+ 105.681750921356  9.60583601772623 -24.9107947977911  0.693871515238979 -24.9107947977911 
+ 106.659612123016  9.61013852238261 -24.5192292472247  0.688923097831644 -24.5192292472247 
+ 107.646521362973  9.61441265594492 -24.1324535998722  0.683956171486048 -24.1324535998722 
+ 108.642562361696  9.61865827705689 -23.7504612039836  0.678973516566593 -23.7504612039836 
+ 109.647819614308  9.62287525034468 -23.3732431024066  0.673977883163169 -23.3732431024066 
+ 110.662378397756  9.62706344649392 -23.0007881368093  0.668971986682227 -23.0007881368093 
+ 111.686324778046  9.63122274217711 -22.6330830482572  0.663958503602579 -22.6330830482572 
+ 112.719745617540  9.63535302011782 -22.2701125751064  0.658940067558731 -22.2701125751064 
+ 113.762728582332  9.63945416898915 -21.9118595471246  0.653919265573095 -21.9118595471246 
+ 114.815362149677  9.64352608350148 -21.5583049768808  0.648898634616493 -21.5583049768808 
+ 115.877735615502  9.64756866429219 -21.2094281478808  0.643880658357681 -21.2094281478808 
+ 116.949939101976  9.65158181796744 -20.8652066998323  0.638867764205691 -20.8652066998323 
+ 118.032063565162  9.65556545709006 -20.5256167111448  0.633862320605827 -20.5256167111448 
+ 119.124200802726  9.65951950008013 -20.1906327785401  0.628866634559697 -20.1906327785401 
+ 120.226443461730  9.66344387128007 -19.8602280940561  0.623882949436521 -19.8602280940560 
+ 121.338885046486  9.66733850089228 -19.5343745195790  0.618913443020882 -19.5343745195790 
+ 122.461619926493  9.67120332489414 -19.2130426586209  0.613960225773254 -19.2130426586209 
+ 123.594743344439  9.67503828508384 -18.8962019260752  0.609025339397243 -18.8962019260752 
+ 124.738351424282  9.67884332904354 -18.5838206154661  0.604110755605039 -18.5838206154661 
+ 125.892541179405  9.68261841000440 -18.2758659638494  0.599218375080580 -18.2758659638494 
+ 127.057410520842  9.68636348693587 -17.9723042149673  0.594350026750128 -17.9723042149673 
+ 128.233058265590  9.69007852440684 -17.6731006798385  0.589507467170354 -17.6731006798385 
+ 129.419584144986  9.69376349259858 -17.3782197957573  0.584692380194930 -17.3782197957573 
+ 130.617088813172  9.69741836722024 -17.0876251830457  0.579906376785310 -17.0876251830457 
+ 131.825673855628  9.70104312948665 -16.8012797002643  0.575150995056195 -16.8012797002643 
+ 133.045441797796  9.70463776604776 -16.5191454973023  0.570427700455618 -16.5191454973023 
+ 134.276496113773  9.70820226897776 -16.2411840668194  0.565737886134925 -16.2411840668194 
+ 135.518941235090  9.71173663565645 -15.9673562940846  0.561082873468294 -15.9673562940846 
+ 136.772882559572  9.71524086876697 -15.6976225050395  0.556463912726783 -15.6976225050395 
+ 138.038426460275  9.71871497621459 -15.4319425126921  0.551882183868393 -15.4319425126921 
+ 139.315680294517  9.72215897108374 -15.1702756621846  0.547338797488838 -15.1702756621846 
+ 140.604752412978  9.72557287156586 -14.9125808740327  0.542834795849881 -14.9125808740327 
+ 141.905752168895  9.72895670088284 -14.6588166861123  0.538371154040148 -14.6588166861123 
+ 143.218789927340  9.73231048726161 -14.4089412940426  0.533948781224693 -14.4089412940426 
+ 144.543977074578  9.73563426382086 -14.1629125901861  0.529568521970792 -14.1629125901861 
+ 145.881426027520  9.73892806855700 -13.9206882013833  0.525231157682534 -13.9206882013833 
+ 147.231250243257  9.74219194423976 -13.6822255251128  0.520937408064111 -13.6822255251128 
+ 148.593564228686  9.74542593835137 -13.4474817645071  0.516687932671733 -13.4474817645071 
+ 149.968483550222  9.74863010303082 -13.2164139619534  0.512483332504640 -13.2164139619534 
+ 151.356124843606  9.75180449497510 -12.9889790314397  0.508324151634926 -12.9889790314397 
+ 152.756605823792  9.75494917538845 -12.7651337898468  0.504210878903502 -12.7651337898468 
+ 154.170045294940  9.75806420991263 -12.5448349866260  0.500143949595839 -12.5448349866260 
+ 155.596563160492  9.76114966854260 -12.3280393328057  0.496123747198447 -12.3280393328057 
+ 157.036280433339  9.76420562553253 -12.1147035282420  0.492150605100483 -12.1147035282420 
+ 158.489319246095  9.76723215936644 -11.9047842883007  0.488224808382781 -11.9047842883007 
+ 159.955802861451  9.77022935264868 -11.6982383690708  0.484346595556829 -11.6982383690708 
+ 161.435855682632  9.77319729202119 -11.4950225914617  0.480516160303869 -11.4950225914617 
+ 162.929603263956  9.77613606810826 -11.2950938645648  0.476733653251826 -11.2950938645648 
+ 164.437172321477  9.77904577542862 -11.0984092075947  0.472999183691701 -11.0984092075947 
+ 165.958690743739  9.78192651231969 -10.9049257710510  0.469312821309749 -10.9049257710510 
+ 167.494287602627  9.78477838083736 -10.7146008567979  0.465674597887295 -10.7146008567979 
+ 169.044093164309  9.78760148670680 -10.5273919371450  0.462084508982766 -10.5273919371450 
+ 170.608238900295  9.79039593921851 -10.3432566730949  0.458542515594566 -10.3432566730949 
+ 172.186857498583  9.79316185117151 -10.1621529315810  0.455048545792567 -10.1621529315810 
+ 173.780082874920  9.79589933876095 -9.98403880175634  0.451602496304953 -9.98403880175634 
+ 175.388050184158  9.79860852152637 -9.80887261058805  0.448204234103949 -9.80887261058804 
+ 177.010895831724  9.80128952225915 -9.63661293743036  0.444853597930171 -9.63661293743036 
+ 178.648757485187  9.80394246690257 -9.46721862781181  0.441550399784945 -9.46721862781181 
+ 180.301774085938  9.80656748451211 -9.30064880649260  0.438294426403423 -9.30064880649260 
+ 181.970085860980  9.80916470714130 -9.13686288971250  0.435085440674586 -9.13686288971250 
+ 183.653834334816  9.81173426976412 -8.97582059654796  0.431923183010022 -8.97582059654796 
+ 185.353162341462  9.81427631020213 -8.81748195979591  0.428807372706180 -8.81748195979591 
+ 187.068214036561  9.81679096904880 -8.66180733589638  0.425737709233281 -8.66180733589637 
+ 188.799134909610  9.81927838957596 -8.50875741435938  0.422713873505074 -8.50875741435938 
+ 190.546071796305  9.82173871764164 -8.35829322637625  0.419735529087832 -8.35829322637625 
+ 192.309172890996  9.82417210165724 -8.21037615291949  0.416802323393020 -8.21037615291949 
+ 194.088587759257  9.82657869245318 -8.06496793213131  0.413913888802312 -8.06496793213131 
+ 195.884467350578  9.82895864322478 -7.92203066616726  0.411069843769450 -7.92203066616726 
+ 197.696964011165  9.83131210945783 -7.78152682744610  0.408269793875919 -7.78152682744610 
+ 199.526231496867  9.83363924883820 -7.64341926434123  0.405513332843227 -7.64341926434123 
+ 201.372424986218  9.83594022117641 -7.50767120634602  0.402800043508188 -7.50767120634602 
+ 203.235701093601  9.83821518834141 -7.37424626873718  0.400129498761321 -7.37424626873718 
+ 205.116217882535  9.84046431415434 -7.24310845672862  0.397501262438668 -7.24310845672862 
+ 207.014134879082  9.84268776434169 -7.11422216914741  0.394914890182728 -7.11422216914741 
+ 208.929613085382  9.84488570645663 -6.98755220169963  0.392369930267503 -6.98755220169962 
+ 210.862814993307  9.84705830976746 -6.86306374974048  0.389865924374118 -6.86306374974048 
+ 212.813904598249  9.84920574524121 -6.74072241068087  0.387402408350530 -6.74072241068087 
+ 214.783047413030  9.85132818542475 -6.62049418597333  0.384978912919424 -6.62049418597333 
+ 216.770410481946  9.85342580437874 -6.50234548269989  0.382594964356566 -6.50234548269989 
+ 218.776162394932  9.85549877761780 -6.38624311484650  0.380250085143802 -6.38624311484650 
+ 220.800473301866  9.85754728203860 -6.27215430420517  0.377943794584566 -6.27215430420517 
+ 222.843514927006  9.85957149582550 -6.16004668090789  0.375675609379710 -6.16004668090789 
+ 224.905460583554  9.86157159842002 -6.04988828373572  0.373445044194152 -6.04988828373572 
+ 226.986485188358  9.86354777040138 -5.94164756002715  0.371251612167906 -5.94164756002715 
+ 229.086765276753  9.86550019347027 -5.83529336541464  0.369094825428307 -5.83529336541464 
+ 231.206479017534  9.86742905034517 -5.73079496316811  0.366974195545561 -5.73079496316811 
+ 233.345806228075  9.86933452469853 -5.62812202339746  0.364889233983562 -5.62812202339746 
+ 235.504928389575  9.87121680111501 -5.52724462195582  0.362839452519713 -5.52724462195582 
+ 237.684028662462  9.87307606499608 -5.42813323909189  0.360824363629826 -5.42813323909189 
+ 239.883291901923  9.87491250252342 -5.33075875797655  0.358843480870394 -5.33075875797655 
+ 242.102904673591  9.87672630057154 -5.23509246291394  0.356896319214840 -5.23509246291394 
+ 244.343055269370  9.87851764666388 -5.14110603745340  0.354982395387402 -5.14110603745340 
+ 246.603933723407  9.88028672890501 -5.04877156227422  0.353101228165899 -5.04877156227422 
+ 248.885731828212  9.88203373591461 -4.95806151290351  0.351252338665023 -4.95806151290351 
+ 251.188643150930  9.88375885678529 -4.86894875730685  0.349435250608141 -4.86894875730685 
+ 253.512863049763  9.88546228099587 -4.78140655328846  0.347649490568679 -4.78140655328846 
+ 255.858588690536  9.88714419839968 -4.69540854579210  0.345894588209271 -4.69540854579210 
+ 258.226019063431  9.88880479911188 -4.61092876404002  0.344170076486438 -4.61092876404003 
+ 260.615354999861  9.89044427350703 -4.52794161858037  0.342475491857301 -4.52794161858037 
+ 263.026799189509  9.89206281212376 -4.44642189820130  0.340810374456074 -4.44642189820130 
+ 265.460556197525  9.89366060565045 -4.36634476676117  0.339174268268896 -4.36634476676117 
+ 267.916832481873  9.89523784483776 -4.28768575990727  0.337566721283171 -4.28768575990727 
+ 270.395836410854  9.89679472046803 -4.21042078171785  0.335987285632306 -4.21042078171785 
+ 272.897778280774  9.89833142330160 -4.13452610126003  0.334435517724421 -4.13452610126003 
+ 275.422870333786  9.89984814403411 -4.05997834908059  0.332910978361347 -4.05997834908059 
+ 277.971326775898  9.90134507322859 -3.98675451361617  0.331413232840880 -3.98675451361617 
+ 280.543363795140  9.90282240129866 -3.91483193756174  0.329941851057456 -3.91483193756174 
+ 283.139199579906  9.90428031843728 -3.84418831417553  0.328496407584453 -3.84418831417553 
+ 285.759054337463  9.90571901458931 -3.77480168353114  0.327076481751246 -3.77480168353114 
+ 288.403150312628  9.90713867939528 -3.70665042873459  0.325681657708912 -3.70665042873459 
+ 291.071711806628  9.90853950216022 -3.63971327210530  0.324311524490527 -3.63971327210530 
+ 293.764965196120  9.90992167180883 -3.57396927131706  0.322965676060297 -3.57396927131706 
+ 296.483138952401  9.91128537683587 -3.50939781551646  0.321643711355222 -3.50939781551646 
+ 299.226463660785  9.91263080529348 -3.44597862142011  0.320345234324259 -3.44597862142011 
+ 301.995172040167  9.91395814471415 -3.38369172938110  0.319069853950787 -3.38369172938110 
+ 304.789498962764  9.91526758210611 -3.32251749945632  0.317817184279987 -3.32251749945632 
+ 307.609681474036  9.91655930390535 -3.26243660745720  0.316586844433993 -3.26243660745720 
+ 310.455958812800  9.91783349593766 -3.20343004098131  0.315378458620324 -3.20343004098131 
+ 313.328572431523  9.91909034339088 -3.14547909545820  0.314191656139474 -3.14547909545820 
+ 316.227766016802  9.92033003077550 -3.08856537018346  0.313026071383994 -3.08856537018346 
+ 319.153785510040  9.92155274189983 -3.03267076435137  0.311881343833868 -3.03267076435137 
+ 322.106879128306  9.92275865983375 -2.97777747311032  0.310757118049386 -2.97777747311032 
+ 325.087297385397  9.92394796688128 -2.92386798360284  0.309653043656492 -2.92386798360284 
+ 328.095293113081  9.92512084454454 -2.87092507103247  0.308568775330334 -2.87092507103247 
+ 331.131121482553  9.92627747350863 -2.81893179473967  0.307503972776943 -2.81893179473967 
+ 334.195040026076  9.92741803360333 -2.76787149428580  0.306458300707397 -2.76787149428580 
+ 337.287308658830  9.92854270377637 -2.71772778556527  0.305431428812409 -2.71772778556527 
+ 340.408189700961  9.92965166207961 -2.66848455692892  0.304423031733868 -2.66848455692892 
+ 343.557947899835  9.93074508563284 -2.62012596532784  0.303432789030968 -2.62012596532784 
+ 346.736850452491  9.93182315060472 -2.57263643248917  0.302460385147692 -2.57263643248917 
+ 349.945167028317  9.93288603218960 -2.52600064110033  0.301505509374273 -2.52600064110033 
+ 353.183169791916  9.93393390458420 -2.48020353103722  0.300567855810145 -2.48020353103722 
+ 356.451133426202  9.93496694096818 -2.43523029560491  0.299647123322434 -2.43523029560491 
+ 359.749335155700  9.93598531348701 -2.39106637781452  0.298743015504492 -2.39106637781452 
+ 363.078054770059  9.93698919323032 -2.34769746668596  0.297855240631359 -2.34769746668596 
+ 366.437574647790  9.93797875020173 -2.30510949358604  0.296983511613854 -2.30510949358604 
+ 369.828179780223  9.93895415332445 -2.26328862859192  0.296127545953957 -2.26328862859192 
+ 373.250157795676  9.93991557040561 -2.22222127689330  0.295287065695492 -2.22222127689330 
+ 376.703798983864  9.94086316812760 -2.18189407522181  0.294461797375507 -2.18189407522181 
+ 380.189396320516  9.94179711203154 -2.14229388832259  0.293651471975365 -2.14229388832259 
+ 383.707245492233  9.94271756650232 -2.10340780545381  0.292855824869675 -2.10340780545381 
+ 387.257644921571  9.94362469475606 -2.06522313692582  0.292074595775531 -2.06522313692582 
+ 390.840895792356  9.94451865882281 -2.02772741067147  0.291307528699419 -2.02772741067147 
+ 394.457302075231  9.94539961954234 -1.99090836886179  0.290554371886975 -1.99090836886179 
+ 398.107170553450  9.94626773654444 -1.95475396455074  0.289814877768629 -1.95475396455074 
+ 401.790810848892  9.94712316824075 -1.91925235836070  0.289088802906893 -1.91925235836070 
+ 405.508535448335  9.94796607181352 -1.88439191520586  0.288375907942912 -1.88439191520586 
+ 409.260659729962  9.94879660320644 -1.85016120105110  0.287675957542417 -1.85016120105110 
+ 413.047501990112  9.94961491712384 -1.81654897971600  0.286988720343898 -1.81654897971600 
+ 416.869383470285  9.95042116700364 -1.78354420970787  0.286313968901522 -1.78354420970787 
+ 420.726628384394  9.95121550502782 -1.75113604110173  0.285651479634047 -1.75113604110173 
+ 424.619563946262  9.95199808210248 -1.71931381245283  0.285001032768831 -1.71931381245283 
+ 428.548520397388  9.95276904786336 -1.68806704775388  0.284362412290068 -1.68806704775388 
+ 432.513831034957  9.95352855065629 -1.65738545342661  0.283735405883211 -1.65738545342661 
+ 436.515832240113  9.95427673754417 -1.62725891535305  0.283119804882595 -1.62725891535305 
+ 440.554863506500  9.95501375429100 -1.59767749594938  0.282515404217577 -1.59767749594938 
+ 444.631267469055  9.95573974536943 -1.56863143127165  0.281922002359766 -1.56863143127165 
+ 448.745389933078  9.95645485394502 -1.54011112816909  0.281339401270024 -1.54011112816910 
+ 452.897579903566  9.95715922188270 -1.51210716146655  0.280767406345843 -1.51210716146655 
+ 457.088189614819  9.95785298973602 -1.48461027119397  0.280205826369206 -1.48461027119397 
+ 461.317574560323  9.95853629675258 -1.45761135984932  0.279654473455348 -1.45761135984932 
+ 465.586093522902  9.95920928086561 -1.43110148970025  0.279113163000380 -1.43110148970025 
+ 469.894108605158  9.95987207869723 -1.40507188012566  0.278581713631126 -1.40507188012566 
+ 474.241985260187  9.96052482555356 -1.37951390499211  0.278059947153624 -1.37951390499211 
+ 478.630092322580  9.96116765542598 -1.35441909007163  0.277547688503756 -1.35441909007163 
+ 483.058802039713  9.96180070099590 -1.32977911049299  0.277044765697637 -1.32977911049299 
+ 487.528490103326  9.96242409362593 -1.30558578823290  0.276551009781693 -1.30558578823290 
+ 492.039535681390  9.96303796336618 -1.28183108964194  0.276066254784348 -1.28183108964194 
+ 496.592321450275  9.96364243895994 -1.25850712300881  0.275590337668588 -1.25850712300881 
+ 501.187233627210  9.96423764783097 -1.23560613616017  0.275123098282798 -1.23560613616017 
+ 505.824662003051  9.96482371610372 -1.21312051409348  0.274664379314923 -1.21312051409348 
+ 510.504999975343  9.96540076858961 -1.19104277665208  0.274214026245251 -1.19104277665208 
+ 515.228644581693  9.96596892879876 -1.16936557622802  0.273771887300424 -1.16936557622802 
+ 519.995996533451  9.96652831894235 -1.14808169550539  0.273337813408449 -1.14808169550539 
+ 524.807460249707  9.96707905993272 -1.12718404523458  0.272911658153017 -1.12718404523458 
+ 529.663443891592  9.96762127138845 -1.10666566204378  0.272493277729748 -1.10666566204378 
+ 534.564359396905  9.96815507163760 -1.08651970628131  0.272082530901842 -1.08651970628131 
+ 539.510622515060  9.96868057772589 -1.06673945989433  0.271679278957715 -1.06673945989433 
+ 544.502652842353  9.96919790541472 -1.04731832433881  0.271283385667468 -1.04731832433881 
+ 549.540873857556  9.96970716919051 -1.02824981852293  0.270894717241327 -1.02824981852293 
+ 554.625712957841  9.97020848226929 -1.00952757678242  0.270513142288016 -1.00952757678242 
+ 559.757601495039  9.97070195660053 -0.991145346888630  0.270138531773739 -0.991145346888630 
+ 564.936974812231  9.97118770287240 -0.973096988088464  0.269770758981995 -0.973096988088464 
+ 570.164272280676  9.97166583051936 -0.955376469174368  0.269409699473772 -0.955376469174368 
+ 575.439937337084  9.97213644772826 -0.937977866585864  0.269055231048376 -0.937977866585864 
+ 580.764417521239  9.97259966144314 -0.920895362542241  0.268707233704791 -0.920895362542242 
+ 586.138164513955  9.97305557737146 -0.904123243204548  0.268365589603577 -0.904123243204548 
+ 591.561634175399  9.97350429999176 -0.887655896867471  0.268030183029442 -0.887655896867471 
+ 597.035286583761  9.97394593256091 -0.871487812180508  0.267700900354311 -0.871487812180508 
+ 602.559586074281  9.97438057712030 -0.855613576399178  0.267377630001166 -0.855613576399178 
+ 608.135001278640  9.97480833450104 -0.840027873662277  0.267060262407457 -0.840027873662277 
+ 613.762005164716  9.97522930433724 -0.824725483301498  0.266748689991372 -0.824725483301498 
+ 619.441075076702  9.97564358506768 -0.809701278173730  0.266442807115536 -0.809701278173730 
+ 625.172692775606  9.97605127394549 -0.794950223025610  0.266142510053819 -0.794950223025610 
+ 630.957344480113  9.97645246704558 -0.780467372881823  0.265847696957270 -0.780467372881823 
+ 636.795520907834  9.97684725927377 -0.766247871461644  0.265558267821256 -0.766247871461644 
+ 642.687717316937  9.97723574437509 -0.752286949621824  0.265274124453064 -0.752286949621825 
+ 648.634433548155  9.97761801494058 -0.738579923824598  0.264995170439545 -0.738579923824598 
+ 654.636174067190  9.97799416241319 -0.725122194631822  0.264721311115372 -0.725122194631822 
+ 660.693448007511  9.97836427710444 -0.711909245224724  0.264452453533099 -0.711909245224724 
+ 666.806769213536  9.97872844819400 -0.698936639947232  0.264188506431403 -0.698936639947231 
+ 672.976656284230  9.97908676374352 -0.686200022875247  0.263929380205899 -0.686200022875247 
+ 679.203632617097  9.97943931070176 -0.673695116409084  0.263674986879169 -0.673695116409084 
+ 685.488226452572  9.97978617491896 -0.661417719889944  0.263425240072348 -0.661417719889944 
+ 691.830970918846  9.98012744115047 -0.649363708239963  0.263180054976060 -0.649363708239963 
+ 698.232404077081  9.98046319306776 -0.637529030624899  0.262939348322535 -0.637529030624899 
+ 704.693068967055  9.98079351326567 -0.625909709140210  0.262703038357956 -0.625909709140210 
+ 711.213513653236  9.98111848327683 -0.614501837518558  0.262471044815770 -0.614501837518558 
+ 717.794291271268  9.98143818357395 -0.603301579860358  0.262243288889461 -0.603301579860358 
+ 724.435960074895  9.98175269358436 -0.592305169385016  0.262019693206731 -0.592305169385016 
+ 731.139083483322  9.98206209169545 -0.581508907204550  0.261800181803570 -0.581508907204550 
+ 737.904230129004  9.98236645526711 -0.570909161117298  0.261584680099100 -0.570909161117297 
+ 744.731973905891  9.98266586063793 -0.560502364422805  0.261373114870427 -0.560502364422806 
+ 751.622894018107  9.98296038313903 -0.550285014757030  0.261165414228668 -0.550285014757030 
+ 758.577575029083  9.98325009709849 -0.540253672947593  0.260961507594426 -0.540253672947593 
+ 765.596606911155  9.98353507585385 -0.530404961888465  0.260761325674380 -0.530404961888465 
+ 772.680585095600  9.98381539176105 -0.520735565434803  0.260564800438258 -0.520735565434803 
+ 779.830110523155  9.98409111620349 -0.511242227315725  0.260371865095678 -0.511242227315725 
+ 787.045789694994  9.98436231960176 -0.501921750067374  0.260182454074131 -0.501921750067374 
+ 794.328234724176  9.98462907142309 -0.492770993982970  0.259996502996648 -0.492770993982970 
+ 801.678063387572  9.98489144018997 -0.483786876082263  0.259813948660303 -0.483786876082263 
+ 809.095899178275  9.98514949349271 -0.474966369097949  0.259634729015084 -0.474966369097949 
+ 816.582371358484  9.98540329799410 -0.466306500480962  0.259458783142840 -0.466306500480962 
+ 824.138115012892  9.98565291944405 -0.457804351421279  0.259286051236902 -0.457804351421279 
+ 831.763771102560  9.98589842268494 -0.449457055887586  0.259116474581821 -0.449457055887586 
+ 839.459986519285  9.98613987166313 -0.441261799682662  0.258949995533676 -0.441261799682661 
+ 847.227414140483  9.98637732943901 -0.433215819515358  0.258786557500647 -0.433215819515358 
+ 855.066712884569  9.98661085819427 -0.425316402089305  0.258626104923821 -0.425316402089305 
+ 862.978547766854  9.98684051924313 -0.417560883206993  0.258468583258520 -0.417560883206993 
+ 870.963589955963  9.98706637304151 -0.409946646889863  0.258313938955895 -0.409946646889863 
+ 879.022516830766  9.98728847919576 -0.402471124513771  0.258162119444753 -0.402471124513771 
+ 887.156012037841  9.98750689647239 -0.395131793959672  0.258013073113878 -0.395131793959672 
+ 895.364765549473  9.98772168280713 -0.387926178779065  0.257866749294477 -0.387926178779065 
+ 903.649473722179  9.98793289531509 -0.380851847374245  0.257723098243146 -0.380851847374245 
+ 912.010839355786  9.98814059029894 -0.373906412193032  0.257582071124962 -0.373906412193032 
+ 920.449571753046  9.98834482325805 -0.367087528937572  0.257443619996934 -0.367087528937572 
+ 928.966386779810  9.98854564889955 -0.360392895786968  0.257307697791864 -0.360392895786968 
+ 937.562006925752  9.98874312114430 -0.353820252634146  0.257174258302262 -0.353820252634146 
+ 946.237161365664  9.98893729313985 -0.347367380335355  0.257043256164868 -0.347367380335355 
+ 954.992586021305  9.98912821726556 -0.341032099973823  0.256914646845041 -0.341032099973823 
+ 963.829023623839  9.98931594514448 -0.334812272135849  0.256788386621913 -0.334812272135849 
+ 972.747223776832  9.98950052765141 -0.328705796199713  0.256664432573361 -0.328705796199713 
+ 981.747943019850  9.98968201492056 -0.322710609637644  0.256542742561485 -0.322710609637644 
+ 990.831944892632  9.98986045635713 -0.316824687329478  0.256423275218397 -0.316824687329478 
+ 999.999999999863  9.99003590064314 -0.311046040889262  0.256305989932100 -0.311046040889262 
+ 1009.25288607655  9.99020839574787 -0.305372718003054  0.256190846832669 -0.305372718003054 
+ 1018.59138805398  9.99037798893730 -0.299802801779031  0.256077806778933 -0.299802801779031 
+ 1028.01629812633  9.99054472677964 -0.294334410108764  0.255966831344741 -0.294334410108764 
+ 1037.52841581787  9.99070865515813 -0.288965695040166  0.255857882806453 -0.288965695040166 
+ 1047.12854805075  9.99086981927542 -0.283694842161376  0.255750924129642 -0.283694842161376 
+ 1056.81750921351  9.99102826366556 -0.278520069995656  0.255645918956870 -0.278520069995656 
+ 1066.59612123011  9.99118403219957 -0.273439629407117  0.255542831595078 -0.273439629407117 
+ 1076.46521362969  9.99133716809565 -0.268451803016871  0.255441627003565 -0.268451803016871 
+ 1086.42562361691  9.99148771392689 -0.263554904629943  0.255342270782136 -0.263554904629943 
+ 1096.47819614303  9.99163571162844 -0.258747278671926  0.255244729159194 -0.258747278671926 
+ 1106.62378397751  9.99178120250809 -0.254027299636088  0.255148968980567 -0.254027299636088 
+ 1116.86324778040  9.99192422725149 -0.249393371540152  0.255054957697938 -0.249393371540152 
+ 1127.19745617535  9.99206482593233 -0.244843927392722  0.254962663357928 -0.244843927392722 
+ 1137.62728582327  9.99220303801899 -0.240377428669528  0.254872054591213 -0.240377428669528 
+ 1148.15362149672  9.99233890238344 -0.235992364798666  0.254783100601846 -0.235992364798666 
+ 1158.77735615496  9.99247245730783 -0.231687252655379  0.254695771156766 -0.231687252655379 
+ 1169.49939101971  9.99260374049345 -0.227460636065476  0.254610036575468 -0.227460636065476 
+ 1180.32063565156  9.99273278906774 -0.223311085318198  0.254525867720036 -0.223311085318198 
+ 1191.24200802721  9.99285963959156 -0.219237196687265  0.254443235985058 -0.219237196687265 
+ 1202.26443461724  9.99298432806797 -0.215237591960796  0.254362113288075 -0.215237591960796 
+ 1213.38885046481  9.99310688994799 -0.211310917979620  0.254282472059828 -0.211310917979620 
+ 1224.61619926488  9.99322736013966 -0.207455846183740  0.254204285235034 -0.207455846183740 
+ 1235.94743344434  9.99334577301449 -0.203671072167168  0.254127526243156 -0.203671072167168 
+ 1247.38351424277  9.99346216241401 -0.199955315240436  0.254052168999178 -0.199955315240436 
+ 1258.92541179399  9.99357656165903 -0.196307318001283  0.253978187895052 -0.196307318001283 
+ 1270.57410520836  9.99368900355411 -0.192725845912746  0.253905557790615 -0.192725845912746 
+ 1282.33058265584  9.99379952039748 -0.189209686889028  0.253834254005360 -0.189209686889028 
+ 1294.19584144980  9.99390814398537 -0.185757650888833  0.253764252309817 -0.185757650888833 
+ 1306.17088813165  9.99401490562045 -0.182368569515770  0.253695528917366 -0.182368569515770 
+ 1318.25673855622  9.99411983611796 -0.179041295626266  0.253628060476172 -0.179041295626266 
+ 1330.45441797790  9.99422296581351 -0.175774702944221  0.253561824061241 -0.175774702944221 
+ 1342.76496113767  9.99432432456798 -0.172567685682805  0.253496797166500 -0.172567685682805 
+ 1355.18941235084  9.99442394177588 -0.169419158173022  0.253432957697318 -0.169419158173022 
+ 1367.72882559565  9.99452184637145 -0.166328054498813  0.253370283962859 -0.166328054498813 
+ 1380.38426460269  9.99461806683368 -0.163293328139011  0.253308754668669 -0.163293328139011 
+ 1393.15680294510  9.99471263119530 -0.160313951615417  0.253248348909580 -0.160313951615417 
+ 1406.04752412971  9.99480556704655 -0.157388916147509  0.253189046162412 -0.157388916147509 
+ 1419.05752168889  9.99489690154356 -0.154517231313137  0.253130826279145 -0.154517231313137 
+ 1432.18789927334  9.99498666141259 -0.151697924715510  0.253073669479899 -0.151697924715510 
+ 1445.43977074572  9.99507487295828 -0.148930041656070  0.253017556346396 -0.148930041656070 
+ 1458.81426027514  9.99516156206772 -0.146212644813353  0.252962467815160 -0.146212644813353 
+ 1472.31250243250  9.99524675421786 -0.143544813927545  0.252908385171163 -0.143544813927545 
+ 1485.93564228679  9.99533047448016 -0.140925645490833  0.252855290041315 -0.140925645490833 
+ 1499.68483550216  9.99541274752781 -0.138354252443292  0.252803164388400 -0.138354252443292 
+ 1513.56124843599  9.99549359764043 -0.135829763874184  0.252751990504737 -0.135829763874184 
+ 1527.56605823785  9.99557304871059 -0.133351324728865  0.252701751006335 -0.133351324728865 
+ 1541.70045294933  9.99565112424879 -0.130918095520731  0.252652428826828 -0.130918095520731 
+ 1555.96563160485  9.99572784738901 -0.128529252048567  0.252604007211719 -0.128529252048567 
+ 1570.36280433332  9.99580324089519 -0.126183985118829  0.252556469712706 -0.126183985118829 
+ 1584.89319246088  9.99587732716509 -0.123881500273162  0.252509800182028 -0.123881500273162 
+ 1599.55802861443  9.99595012823755 -0.121621017520588  0.252463982767050 -0.121621017520588 
+ 1614.35855682625  9.99602166579590 -0.119401771074773  0.252419001904764 -0.119401771074773 
+ 1629.29603263948  9.99609196117514 -0.117223009095826  0.252374842316592 -0.117223009095826 
+ 1644.37172321469  9.99616103536481 -0.115083993436995  0.252331489003070 -0.115083993436995 
+ 1659.58690743732  9.99622890901665 -0.112983999395715  0.252288927238893 -0.112983999395715 
+ 1674.94287602619  9.99629560244746 -0.110922315469358  0.252247142567747 -0.110922315469358 
+ 1690.44093164301  9.99636113564571 -0.108898243115257  0.252206120797529 -0.108898243115257 
+ 1706.08238900287  9.99642552827530 -0.106911096515152  0.252165847995398 -0.106911096515152 
+ 1721.86857498575  9.99648879968120 -0.104960202343888  0.252126310483125 -0.104960202343888 
+ 1737.80082874912  9.99655096889362 -0.103044899542268  0.252087494832356 -0.103044899542268 
+ 1753.88050184150  9.99661205463345 -0.101164539094059  0.252049387860140 -0.101164539094059 
+ 1770.10895831716  9.99667207531648 -0.0993184838069980  0.252011976624362 -0.0993184838069980 
+ 1786.48757485179  9.99673104905797 -0.0975061080978053  0.251975248419361 -0.0975061080978053 
+ 1803.01774085930  9.99678899367738 -0.0957267977810620  0.251939190771616 -0.0957267977810620 
+ 1819.70085860971  9.99684592670296 -0.0939799498619204  0.251903791435517 -0.0939799498619204 
+ 1836.53834334807  9.99690186537594 -0.0922649723325630  0.251869038389161 -0.0922649723325630 
+ 1853.53162341453  9.99695682665503 -0.0905812839723734  0.251834919830276 -0.0905812839723734 
+ 1870.68214036552  9.99701082722093 -0.0889283141516959  0.251801424172234 -0.0889283141516959 
+ 1887.99134909601  9.99706388348002 -0.0873055026392011  0.251768540040049 -0.0873055026392011 
+ 1905.46071796296  9.99711601156939 -0.0857122994126639  0.251736256266589 -0.0857122994126639 
+ 1923.09172890987  9.99716722736013 -0.0841481644732827  0.251704561888689 -0.0841481644732827 
+ 1940.88587759249  9.99721754646227 -0.0826125676632307  0.251673446143493 -0.0826125676632307 
+ 1958.84467350569  9.99726698422808 -0.0811049884866629  0.251642898464746 -0.0811049884866629 
+ 1976.96964011156  9.99731555575656 -0.0796249159338496  0.251612908479234 -0.0796249159338496 
+ 1995.26231496858  9.99736327589710 -0.0781718483085616  0.251583466003232 -0.0781718483085616 
+ 2013.72424986208  9.99741015925320 -0.0767452930585756  0.251554561039009 -0.0767452930585756 
+ 2032.35701093591  9.99745622018698 -0.0753447666092514  0.251526183771536 -0.0753447666092514 
+ 2051.16217882525  9.99750147282211 -0.0739697942001232  0.251498324565024 -0.0739697942001232 
+ 2070.14134879073  9.99754593104823 -0.0726199097244657  0.251470973959728 -0.0726199097244657 
+ 2089.29613085372  9.99758960852400 -0.0712946555717846  0.251444122668680 -0.0712946555717846 
+ 2108.62814993297  9.99763251868117 -0.0699935824731223  0.251417761574561 -0.0699935824731223 
+ 2128.13904598239  9.99767467472798 -0.0687162493492419  0.251391881726601 -0.0687162493492420 
+ 2147.83047413021  9.99771608965252 -0.0674622231614846  0.251366474337505 -0.0674622231614846 
+ 2167.70410481936  9.99775677622665 -0.0662310787654086  0.251341530780502 -0.0662310787654086 
+ 2187.76162394922  9.99779674700891 -0.0650223987670450  0.251317042586402 -0.0650223987670450 
+ 2208.00473301856  9.99783601434798 -0.0638357733817692  0.251293001440664 -0.0638357733817692 
+ 2228.43514926996  9.99787459038646 -0.0626708002957573  0.251269399180682 -0.0626708002957573 
+ 2249.05460583544  9.99791248706336 -0.0615270845299246  0.251246227792874 -0.0615270845299246 
+ 2269.86485188347  9.99794971611820 -0.0604042383063679  0.251223479410073 -0.0604042383063679 
+ 2290.86765276742  9.99798628909334 -0.0593018809172150  0.251201146308772 -0.0593018809172150 
+ 2312.06479017524  9.99802221733786 -0.0582196385958686  0.251179220906553 -0.0582196385958686 
+ 2333.45806228064  9.99805751200998 -0.0571571443905811  0.251157695759468 -0.0571571443905811 
+ 2355.04928389565  9.99809218408065 -0.0561140380403293  0.251136563559532 -0.0561140380403293 
+ 2376.84028662451  9.99812624433628 -0.0550899658529502  0.251115817132241 -0.0550899658529502 
+ 2398.83291901912  9.99815970338159 -0.0540845805854852  0.251095449434096 -0.0540845805854852 
+ 2421.02904673580  9.99819257164288 -0.0530975413267093  0.251075453550273 -0.0530975413267093 
+ 2443.43055269359  9.99822485937056 -0.0521285133817725  0.251055822692214 -0.0521285133817725 
+ 2466.03933723396  9.99825657664209 -0.0511771681589805  0.251036550195343 -0.0511771681589805 
+ 2488.85731828200  9.99828773336478 -0.0502431830585733  0.251017629516801 -0.0502431830585733 
+ 2511.88643150919  9.99831833927861 -0.0493262413636069  0.250999054233233 -0.0493262413636069 
+ 2535.12863049751  9.99834840395869 -0.0484260321327294  0.250980818038566 -0.0484260321327294 
+ 2558.58588690525  9.99837793681824 -0.0475422500949746  0.250962914741914 -0.0475422500949746 
+ 2582.26019063419  9.99840694711097 -0.0466745955464440  0.250945338265440 -0.0466745955464440 
+ 2606.15354999849  9.99843544393373 -0.0458227742488648  0.250928082642297 -0.0458227742488648 
+ 2630.26799189497  9.99846343622919 -0.0449864973300022  0.250911142014627 -0.0449864973300022 
+ 2654.60556197512  9.99849093278802 -0.0441654811858732  0.250894510631512 -0.0441654811858732 
+ 2679.16832481861  9.99851794225178 -0.0433594473847523  0.250878182847084 -0.0433594473847523 
+ 2703.95836410842  9.99854447311492 -0.0425681225729146  0.250862153118565 -0.0425681225729146 
+ 2728.97778280761  9.99857053372764 -0.0417912383820879  0.250846416004401 -0.0417912383820879 
+ 2754.22870333773  9.99859613229783 -0.0410285313386090  0.250830966162400 -0.0410285313386090 
+ 2779.71326775885  9.99862127689362 -0.0402797427742098  0.250815798347935 -0.0402797427742098 
+ 2805.43363795127  9.99864597544561 -0.0395446187384469  0.250800907412136 -0.0395446187384469 
+ 2831.39199579893  9.99867023574908 -0.0388229099127092  0.250786288300166 -0.0388229099127092 
+ 2857.59054337449  9.99869406546636 -0.0381143715257961  0.250771936049493 -0.0381143715257961 
+ 2884.03150312615  9.99871747212881 -0.0374187632710379  0.250757845788197 -0.0374187632710379 
+ 2910.71711806614  9.99874046313904 -0.0367358492249229  0.250744012733319 -0.0367358492249228 
+ 2937.64965196106  9.99876304577320 -0.0360653977671869  0.250730432189248 -0.0360653977671869 
+ 2964.83138952387  9.99878522718280 -0.0354071815023884  0.250717099546105 -0.0354071815023884 
+ 2992.26463660771  9.99880701439702 -0.0347609771828941  0.250704010278199 -0.0347609771828941 
+ 3019.95172040154  9.99882841432440 -0.0341265656332624  0.250691159942466 -0.0341265656332624 
+ 3047.89498962750  9.99884943375509 -0.0335037316760138  0.250678544176970 -0.0335037316760138 
+ 3076.09681474022  9.99887007936291 -0.0328922640587475  0.250666158699437 -0.0328922640587475 
+ 3104.55958812786  9.99889035770694 -0.0322919553825835  0.250653999305765 -0.0322919553825835 
+ 3133.28572431508  9.99891027523367 -0.0317026020319187  0.250642061868629 -0.0317026020319187 
+ 3162.27766016787  9.99892983827872 -0.0311240041054444  0.250630342336063 -0.0311240041054444 
+ 3191.53785510025  9.99894905306888 -0.0305559653484331  0.250618836730084 -0.0305559653484331 
+ 3221.06879128292  9.99896792572365 -0.0299982930862584  0.250607541145344 -0.0299982930862584 
+ 3250.87297385382  9.99898646225731 -0.0294507981591095  0.250596451747802 -0.0294507981591095 
+ 3280.95293113066  9.99900466858039 -0.0289132948579254  0.250585564773418 -0.0289132948579254 
+ 3311.31121482538  9.99902255050168 -0.0283856008614627  0.250574876526892 -0.0283856008614627 
+ 3341.95040026060  9.99904011372968 -0.0278675371745299  0.250564383380373 -0.0278675371745299 
+ 3372.87308658814  9.99905736387444 -0.0273589280673412  0.250554081772263 -0.0273589280673412 
+ 3404.08189700946  9.99907430644916 -0.0268596010159748  0.250543968205992 -0.0268596010159748 
+ 3435.57947899819  9.99909094687174 -0.0263693866439178  0.250534039248825 -0.0263693866439178 
+ 3467.36850452476  9.99910729046649 -0.0258881186646704  0.250524291530705 -0.0258881186646704 
+ 3499.45167028300  9.99912334246561 -0.0254156338254048  0.250514721743108 -0.0254156338254048 
+ 3531.83169791899  9.99913910801083 -0.0249517718516404  0.250505326637914 -0.0249517718516404 
+ 3564.51133426186  9.99915459215481 -0.0244963753929343  0.250496103026306 -0.0244963753929343 
+ 3597.49335155684  9.99916979986266 -0.0240492899695605  0.250487047777685 -0.0240492899695605 
+ 3630.78054770042  9.99918473601362 -0.0236103639201544  0.250478157818617 -0.0236103639201544 
+ 3664.37574647774  9.99919940540211 -0.0231794483503202  0.250469430131775 -0.0231794483503202 
+ 3698.28179780206  9.99921381273956 -0.0227563970821685  0.250460861754922 -0.0227563970821685 
+ 3732.50157795659  9.99922796265551 -0.0223410666047746  0.250452449779898 -0.0223410666047746 
+ 3767.03798983847  9.99924185969922 -0.0219333160255404  0.250444191351642 -0.0219333160255404 
+ 3801.89396320499  9.99925550834086 -0.0215330070224449  0.250436083667234 -0.0215330070224449 
+ 3837.07245492216  9.99926891297287 -0.0211400037971579  0.250428123974896 -0.0211400037971579 
+ 3872.57644921554  9.99928207791142 -0.0207541730290150  0.250420309573112 -0.0207541730290150 
+ 3908.40895792338  9.99929500739747 -0.0203753838298325  0.250412637809676 -0.0203753838298325 
+ 3944.57302075213  9.99930770559831 -0.0200035076995322  0.250405106080809 -0.0200035076995322 
+ 3981.07170553432  9.99932017660849 -0.0196384184825991  0.250397711830269 -0.0196384184825991 
+ 4017.90810848874  9.99933242445137 -0.0192799923253039  0.250390452548467 -0.0192799923253039 
+ 4055.08535448317  9.99934445308014 -0.0189281076337332  0.250383325771661 -0.0189281076337332 
+ 4092.60659729943  9.99935626637906 -0.0185826450325588  0.250376329081059 -0.0185826450325588 
+ 4130.47501990093  9.99936786816463 -0.0182434873245827  0.250369460102044 -0.0182434873245827 
+ 4168.69383470266  9.99937926218673 -0.0179105194509997  0.250362716503330 -0.0179105194509997 
+ 4207.26628384374  9.99939045212982 -0.0175836284523964  0.250356095996223 -0.0175836284523964 
+ 4246.19563946242  9.99940144161397 -0.0172627034304551  0.250349596333794 -0.0172627034304551 
+ 4285.48520397368  9.99941223419598 -0.0169476355103618  0.250343215310128 -0.0169476355103618 
+ 4325.13831034936  9.99942283337049 -0.0166383178038883  0.250336950759594 -0.0166383178038883 
+ 4365.15832240093  9.99943324257104 -0.0163346453731633  0.250330800556084 -0.0163346453731633 
+ 4405.54863506480  9.99944346517104 -0.0160365151950897  0.250324762612316 -0.0160365151950897 
+ 4446.31267469034  9.99945350448493 -0.0157438261264172  0.250318834879106 -0.0157438261264172 
+ 4487.45389933057  9.99946336376906 -0.0154564788694519  0.250313015344688 -0.0154564788694519 
+ 4528.97579903545  9.99947304622276 -0.0151743759383899  0.250307302034001 -0.0151743759383899 
+ 4570.88189614798  9.99948255498926 -0.0148974216262615  0.250301693008072 -0.0148974216262615 
+ 4613.17574560302  9.99949189315675 -0.0146255219724866  0.250296186363296 -0.0146255219724866 
+ 4655.86093522881  9.99950106375921 -0.0143585847310101  0.250290780230832 -0.0143585847310101 
+ 4698.94108605136  9.99951006977742 -0.0140965193390305  0.250285472775961 -0.0140965193390305 
+ 4742.41985260165  9.99951891413981 -0.0138392368862877  0.250280262197445 -0.0138392368862877 
+ 4786.30092322558  9.99952759972340 -0.0135866500849187  0.250275146726925 -0.0135866500849187 
+ 4830.58802039691  9.99953612935474 -0.0133386732398581  0.250270124628349 -0.0133386732398581 
+ 4875.28490103304  9.99954450581063 -0.0130952222197827  0.250265194197331 -0.0130952222197827 
+ 4920.39535681368  9.99955273181911 -0.0128562144285802  0.250260353760611 -0.0128562144285802 
+ 4965.92321450252  9.99956081006023 -0.0126215687773446  0.250255601675466 -0.0126215687773446 
+ 5011.87233627187  9.99956874316691 -0.0123912056568756  0.250250936329173 -0.0123912056568756 
+ 5058.24662003028  9.99957653372575 -0.0121650469106869  0.250246356138447 -0.0121650469106869 
+ 5105.04999975319  9.99958418427780 -0.0119430158084987  0.250241859548893 -0.0119430158084987 
+ 5152.28644581669  9.99959169731939 -0.0117250370202222  0.250237445034506 -0.0117250370202222 
+ 5199.95996533428  9.99959907530285 -0.0115110365904085  0.250233111097127 -0.0115110365904085 
+ 5248.07460249683  9.99960632063732 -0.0113009419131741  0.250228856265952 -0.0113009419131741 
+ 5296.63443891567  9.99961343568948 -0.0110946817075751  0.250224679097026 -0.0110946817075751 
+ 5345.64359396881  9.99962042278427 -0.0108921859934362  0.250220578172753 -0.0108921859934362 
+ 5395.10622515035  9.99962728420562 -0.0106933860676172  0.250216552101405 -0.0106933860676172 
+ 5445.02652842328  9.99963402219716 -0.0104982144807131  0.250212599516677 -0.0104982144807131 
+ 5495.40873857531  9.99964063896297 -0.0103066050141801  0.250208719077193 -0.0103066050141801 
+ 5546.25712957816  9.99964713666811 -0.0101184926578779  0.250204909466068 -0.0101184926578779 
+ 5597.57601495014  9.99965351743952 -0.00993381358802222  0.250201169390450 -0.00993381358802222 
+ 5649.36974812206  9.99965978336651 -0.00975250514553797  0.250197497581087 -0.00975250514553797 
+ 5701.64272280649  9.99966593650148 -0.00957450581481068  0.250193892791916 -0.00957450581481068 
+ 5754.39937337058  9.99967197886050 -0.00939975520282082  0.250190353799588 -0.00939975520282082 
+ 5807.64417521212  9.99967791242410 -0.00922819401866129  0.250186879403112 -0.00922819401866129 
+ 5861.38164513928  9.99968373913767 -0.00905976405343009  0.250183468423408 -0.00905976405343009 
+ 5915.61634175372  9.99968946091222 -0.00889440816048580  0.250180119702923 -0.00889440816048580 
+ 5970.35286583734  9.99969507962498 -0.00873207023606597  0.250176832105232 -0.00873207023606597 
+ 6025.59586074254  9.99970059711988 -0.00857269520025994  0.250173604514648 -0.00857269520025994 
+ 6081.35001278612  9.99970601520824 -0.00841622897832444  0.250170435835863 -0.00841622897832444 
+ 6137.62005164687  9.99971133566926 -0.00826261848234531  0.250167324993558 -0.00826261848234531 
+ 6194.41075076674  9.99971656025067 -0.00811181159322884  0.250164270932042 -0.00811181159322884 
+ 6251.72692775577  9.99972169066915 -0.00796375714302674  0.250161272614894 -0.00796375714302674 
+ 6309.57344480083  9.99972672861102 -0.00781840489757745  0.250158329024602 -0.00781840489757745 
+ 6367.95520907805  9.99973167573263 -0.00767570553947038  0.250155439162252 -0.00767570553947038 
+ 6426.87717316907  9.99973653366100 -0.00753561065131601  0.250152602047144 -0.00753561065131601 
+ 6486.34433548125  9.99974130399425 -0.00739807269932389  0.250149816716483 -0.00739807269932389 
+ 6546.36174067161  9.99974598830215 -0.00726304501717919  0.250147082225050 -0.00726304501717918 
+ 6606.93448007480  9.99975058812661 -0.00713048179021324  0.250144397644882 -0.00713048179021324 
+ 6668.06769213505  9.99975510498215 -0.00700033803986488  0.250141762064963 -0.00700033803986488 
+ 6729.76656284200  9.99975954035637 -0.00687256960842043  0.250139174590881 -0.00687256960842043 
+ 6792.03632617065  9.99976389571047 -0.00674713314403915  0.250136634344579 -0.00674713314403915 
+ 6854.88226452541  9.99976817247968 -0.00662398608604465  0.250134140464005 -0.00662398608604465 
+ 6918.30970918815  9.99977237207371 -0.00650308665048915  0.250131692102856 -0.00650308665048915 
+ 6982.32404077049  9.99977649587719 -0.00638439381598111  0.250129288430280 -0.00638439381598111 
+ 7046.93068967022  9.99978054525015 -0.00626786730976753  0.250126928630578 -0.00626786730976753 
+ 7112.13513653204  9.99978452152843 -0.00615346759407595  0.250124611902950 -0.00615346759407595 
+ 7177.94291271235  9.99978842602407 -0.00604115585269935  0.250122337461209 -0.00604115585269935 
+ 7244.35960074862  9.99979226002579 -0.00593089397783177  0.250120104533516 -0.00593089397783177 
+ 7311.39083483289  9.99979602479936 -0.00582264455713935  0.250117912362133 -0.00582264455713935 
+ 7379.04230128970  9.99979972158799 -0.00571637086106966  0.250115760203141 -0.00571637086106966 
+ 7447.31973905857  9.99980335161279 -0.00561203683039253  0.250113647326210 -0.00561203683039253 
+ 7516.22894018071  9.99980691607308 -0.00550960706396772  0.250111573014319 -0.00550960706396772 
+ 7585.77575029049  9.99981041614684 -0.00540904680673530  0.250109536563574 -0.00540904680673530 
+ 7655.96606911120  9.99981385299102 -0.00531032193792569  0.250107537282887 -0.00531032193792569 
+ 7726.80585095564  9.99981722774199 -0.00521339895948541  0.250105574493822 -0.00521339895948541 
+ 7798.30110523120  9.99982054151582 -0.00511824498471228  0.250103647530296 -0.00511824498471228 
+ 7870.45789694958  9.99982379540870 -0.00502482772710006  0.250101755738401 -0.00502482772710006 
+ 7943.28234724139  9.99982699049724 -0.00493311548938522  0.250099898476161 -0.00493311548938522 
+ 8016.78063387536  9.99983012783887 -0.00484307715279389  0.250098075113318 -0.00484307715279389 
+ 8090.95899178237  9.99983320847214 -0.00475468216648525  0.250096285031128 -0.00475468216648525 
+ 8165.82371358446  9.99983623341706 -0.00466790053718669  0.250094527622113 -0.00466790053718669 
+ 8241.38115012855  9.99983920367543 -0.00458270281901965  0.250092802289920 -0.00458270281901965 
+ 8317.63771102522  9.99984212023115 -0.00449906010351014  0.250091108449058 -0.00449906010351014 
+ 8394.59986519246  9.99984498405057 -0.00441694400978048  0.250089445524727 -0.00441694400978048 
+ 8472.27414140444  9.99984779608276 -0.00433632667492219  0.250087812952618 -0.00433632667492219 
+ 8550.66712884529  9.99985055725984 -0.00425718074454343  0.250086210178726 -0.00425718074454343 
+ 8629.78547766814  9.99985326849726 -0.00417947936348832  0.250084636659160 -0.00417947936348832 
+ 8709.63589955924  9.99985593069412 -0.00410319616672642  0.250083091859953 -0.00410319616672642 
+ 8790.22516830726  9.99985854473345 -0.00402830527040876  0.250081575256885 -0.00402830527040876 
+ 8871.56012037800  9.99986111148246 -0.00395478126308587  0.250080086335303 -0.00395478126308587 
+ 8953.64765549432  9.99986363179289 -0.00388259919708698  0.250078624589952 -0.00388259919708698 
+ 9036.49473722138  9.99986610650120 -0.00381173458005655  0.250077189524797 -0.00381173458005655 
+ 9120.10839355744  9.99986853642893 -0.00374216336664459  0.250075780652856 -0.00374216336664459 
+ 9204.49571753003  9.99987092238288 -0.00367386195034911  0.250074397496040 -0.00367386195034911 
+ 9289.66386779768  9.99987326515544 -0.00360680715550731  0.250073039584983 -0.00360680715550731 
+ 9375.62006925709  9.99987556552477 -0.00354097622943316  0.250071706458884 -0.00354097622943316 
+ 9462.37161365620  9.99987782425516 -0.00347634683469763  0.250070397665358 -0.00347634683469763 
+ 9549.92586021262  9.99988004209715 -0.00341289704155031  0.250069112760276 -0.00341289704155031 
+ 9638.29023623794  9.99988221978788 -0.00335060532048062  0.250067851307614 -0.00335060532048062 
+ 9727.47223776787  9.99988435805127 -0.00328945053491146  0.250066612879310 -0.00328945053491146 
+ 9817.47943019805  9.99988645759826 -0.00322941193403003  0.250065397055112 -0.00322941193403003 
+ 9908.31944892586  9.99988851912705 -0.00317046914574660  0.250064203422439 -0.00317046914574660 
+ 10000.0000000000  9.99989054332335 -0.00311260216978167  0.250063031576243 -0.00311260216978167 
diff --git a/kat_test/physics/reference/homodyne_sd_a.out b/kat_test/physics/reference/homodyne_sd_a.out
new file mode 100644
index 0000000000000000000000000000000000000000..f07eb0c29ef8d2ea65ab6b5136397c607d82ce7d
--- /dev/null
+++ b/kat_test/physics/reference/homodyne_sd_a.out
@@ -0,0 +1,181 @@
+-90.0000000000000  7.69372151928894  90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+-89.0000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+-88.0000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-87.0000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-86.0000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-85.0000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-84.0000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-83.0000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-82.0000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-81.0000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-80.0000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-79.0000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-78.0000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-77.0000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-76.0000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-75.0000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-74.0000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-73.0000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-72.0000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-71.0000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-70.0000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+-69.0000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-68.0000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-67.0000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-66.0000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317488  0.00000000000000 
+-65.0000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-64.0000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-63.0000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215600  0.00000000000000 
+-62.0000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+-61.0000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-60.0000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+-59.0000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218019  0.00000000000000 
+-58.0000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+-57.0000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-56.0000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-55.0000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+-54.0000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-53.0000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-52.0000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-51.0000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-50.0000000000000  7.69372151928894  10.0000000000000  7.69372151928894  10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+-49.0000000000000  7.69372151928894  8.00000000000000  7.69372151928894  7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-48.0000000000000  7.69372151928894  6.00000000000001  7.69372151928894  6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-47.0000000000000  7.69372151928894  4.00000000000001  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-46.0000000000000  7.69372151928894  2.00000000000000  7.69372151928894  2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-45.0000000000000  7.69372151928894 -2.28274749959766e-30  7.69372151928894 -3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+-44.0000000000000  7.69372151928894 -2.00000000000000  7.69372151928894 -2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-43.0000000000000  7.69372151928894 -3.99999999999999  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-42.0000000000000  7.69372151928894 -5.99999999999999  7.69372151928894 -6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-41.0000000000000  7.69372151928894 -8.00000000000000  7.69372151928894 -8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-40.0000000000000  7.69372151928894 -10.0000000000000  7.69372151928894 -10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+-39.0000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-38.0000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-37.0000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-36.0000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-35.0000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343894  0.00000000000000 
+-34.0000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-33.0000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-32.0000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286202  0.00000000000000 
+-31.0000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218019  0.00000000000000 
+-30.0000000000000  7.69372151928894 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000000  0.00000000000000 
+-29.0000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-28.0000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740876  0.00000000000000 
+-27.0000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+-26.0000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-25.0000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-24.0000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317488  0.00000000000000 
+-23.0000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-22.0000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-21.0000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-20.0000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+-19.0000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-18.0000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-17.0000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-16.0000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-15.0000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-14.0000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-13.0000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-12.0000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-11.0000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-10.0000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-9.00000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-8.00000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-7.00000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-6.00000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-5.00000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-4.00000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-3.00000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-2.00000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-1.00000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 0.00000000000000  7.69372151928894 -90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+ 1.00000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 2.00000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 3.00000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 4.00000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 5.00000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 6.00000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 7.00000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 8.00000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 9.00000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 10.0000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 11.0000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 12.0000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 13.0000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 14.0000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 15.0000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 16.0000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 17.0000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 18.0000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 19.0000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 20.0000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+ 21.0000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 22.0000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 23.0000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 24.0000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317488  0.00000000000000 
+ 25.0000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 26.0000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 27.0000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+ 28.0000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740876  0.00000000000000 
+ 29.0000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 30.0000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000000  0.00000000000000 
+ 31.0000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218019  0.00000000000000 
+ 32.0000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286202  0.00000000000000 
+ 33.0000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 34.0000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 35.0000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343894  0.00000000000000 
+ 36.0000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 37.0000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 38.0000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 39.0000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 40.0000000000000  7.69372151928894  10.0000000000000  7.69372151928894  10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+ 41.0000000000000  7.69372151928894  8.00000000000001  7.69372151928894  8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 42.0000000000000  7.69372151928894  6.00000000000000  7.69372151928894  6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 43.0000000000000  7.69372151928894  4.00000000000000  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 44.0000000000000  7.69372151928894  2.00000000000001  7.69372151928894  2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 45.0000000000000  7.69372151928894  7.01670929853488e-15  7.69372151928894  3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+ 46.0000000000000  7.69372151928894 -2.00000000000000  7.69372151928894 -2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 47.0000000000000  7.69372151928894 -4.00000000000000  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 48.0000000000000  7.69372151928894 -6.00000000000000  7.69372151928894 -6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 49.0000000000000  7.69372151928894 -7.99999999999999  7.69372151928894 -7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 50.0000000000000  7.69372151928894 -9.99999999999999  7.69372151928894 -10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+ 51.0000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 52.0000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 53.0000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 54.0000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 55.0000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+ 56.0000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 57.0000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 58.0000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+ 59.0000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218019  0.00000000000000 
+ 60.0000000000000  7.69372151928895 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+ 61.0000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 62.0000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+ 63.0000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215600  0.00000000000000 
+ 64.0000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 65.0000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 66.0000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317488  0.00000000000000 
+ 67.0000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 68.0000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 69.0000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 70.0000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+ 71.0000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 72.0000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 73.0000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 74.0000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 75.0000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 76.0000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 77.0000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 78.0000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 79.0000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 80.0000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 81.0000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 82.0000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 83.0000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 84.0000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 85.0000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 86.0000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 87.0000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 88.0000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 89.0000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 90.0000000000000  7.69372151928894 -90.0000000000000  7.69372151928894 -90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
diff --git a/kat_test/physics/reference/homodyne_sd_b.out b/kat_test/physics/reference/homodyne_sd_b.out
new file mode 100644
index 0000000000000000000000000000000000000000..9ab7b97e975229cf07c691deb39b5da6bebb53c1
--- /dev/null
+++ b/kat_test/physics/reference/homodyne_sd_b.out
@@ -0,0 +1,181 @@
+-180.000000000000  7.69372151928894 -90.0000000000000  7.69372151928894 -90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+-178.000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+-176.000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-174.000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-172.000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-170.000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-168.000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-166.000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-164.000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-162.000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-160.000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-158.000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-156.000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-154.000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-152.000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-150.000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-148.000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-146.000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-144.000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-142.000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-140.000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+-138.000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-136.000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-134.000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-132.000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317489  0.00000000000000 
+-130.000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-128.000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-126.000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+-124.000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+-122.000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-120.000000000000  7.69372151928894 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+-118.000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218020  0.00000000000000 
+-116.000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+-114.000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-112.000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-110.000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+-108.000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-106.000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-104.000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-102.000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-100.000000000000  7.69372151928894 -9.99999999999999  7.69372151928894 -10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+-98.0000000000000  7.69372151928894 -7.99999999999999  7.69372151928894 -7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-96.0000000000000  7.69372151928894 -6.00000000000000  7.69372151928894 -6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-94.0000000000000  7.69372151928894 -4.00000000000000  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-92.0000000000000  7.69372151928894 -2.00000000000000  7.69372151928894 -2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-90.0000000000000  7.69372151928894  7.01670929853488e-15  7.69372151928894  3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+-88.0000000000000  7.69372151928894  2.00000000000001  7.69372151928894  2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-86.0000000000000  7.69372151928894  4.00000000000000  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-84.0000000000000  7.69372151928894  6.00000000000000  7.69372151928894  6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-82.0000000000000  7.69372151928894  8.00000000000001  7.69372151928894  8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-80.0000000000000  7.69372151928894  10.0000000000000  7.69372151928894  10.0000000000000  10.7014784728902  0.00000000000000  10.7014784728902  0.00000000000000 
+-78.0000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-76.0000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-74.0000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-72.0000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-70.0000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343894  0.00000000000000  9.84191999343894  0.00000000000000 
+-68.0000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-66.0000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-64.0000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+-62.0000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218020  0.00000000000000 
+-60.0000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000000  0.00000000000000  8.52500000000000  0.00000000000000 
+-58.0000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-56.0000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+-54.0000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+-52.0000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-50.0000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-48.0000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317489  0.00000000000000 
+-46.0000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-44.0000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-42.0000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-40.0000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054869  0.00000000000000  5.19044152054869  0.00000000000000 
+-38.0000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-36.0000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-34.0000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-32.0000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-30.0000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-28.0000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-26.0000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-24.0000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-22.0000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-20.0000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-18.0000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-16.0000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-14.0000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-12.0000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-10.0000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-8.00000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-6.00000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-4.00000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-2.00000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 0.00000000000000  7.69372151928894 -90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+ 2.00000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 4.00000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 6.00000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 8.00000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 10.0000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 12.0000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 14.0000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 16.0000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 18.0000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 20.0000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 22.0000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 24.0000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 26.0000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 28.0000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 30.0000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 32.0000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 34.0000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 36.0000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 38.0000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 40.0000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054869  0.00000000000000  5.19044152054869  0.00000000000000 
+ 42.0000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 44.0000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 46.0000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 48.0000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317489  0.00000000000000 
+ 50.0000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 52.0000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 54.0000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+ 56.0000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+ 58.0000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 60.0000000000000  7.69372151928894 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000000  0.00000000000000  8.52500000000000  0.00000000000000 
+ 62.0000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218020  0.00000000000000 
+ 64.0000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+ 66.0000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 68.0000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 70.0000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343894  0.00000000000000  9.84191999343894  0.00000000000000 
+ 72.0000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 74.0000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 76.0000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 78.0000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 80.0000000000000  7.69372151928894 -10.0000000000000  7.69372151928894 -10.0000000000000  10.7014784728902  0.00000000000000  10.7014784728902  0.00000000000000 
+ 82.0000000000000  7.69372151928894 -8.00000000000000  7.69372151928894 -8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 84.0000000000000  7.69372151928894 -5.99999999999999  7.69372151928894 -6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 86.0000000000000  7.69372151928894 -3.99999999999999  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 88.0000000000000  7.69372151928894 -2.00000000000000  7.69372151928894 -2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 90.0000000000000  7.69372151928894  0.00000000000000  7.69372151928894 -3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+ 92.0000000000000  7.69372151928894  2.00000000000000  7.69372151928894  2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 94.0000000000000  7.69372151928894  4.00000000000001  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 96.0000000000000  7.69372151928894  6.00000000000001  7.69372151928894  6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 98.0000000000000  7.69372151928894  8.00000000000000  7.69372151928894  7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 100.000000000000  7.69372151928894  10.0000000000000  7.69372151928894  10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+ 102.000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 104.000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 106.000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 108.000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 110.000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+ 112.000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 114.000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 116.000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+ 118.000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218020  0.00000000000000  8.81800487218020  0.00000000000000 
+ 120.000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+ 122.000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 124.000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+ 126.000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+ 128.000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 130.000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 132.000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317489  0.00000000000000  6.56741589317489  0.00000000000000 
+ 134.000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 136.000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 138.000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 140.000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+ 142.000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 144.000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 146.000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 148.000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 150.000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 152.000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 154.000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 156.000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 158.000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 160.000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 162.000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 164.000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 166.000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 168.000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 170.000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 172.000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 174.000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 176.000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 178.000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 180.000000000000  7.69372151928894  90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
diff --git a/kat_test/physics/reference/homodyne_sd_c.out b/kat_test/physics/reference/homodyne_sd_c.out
new file mode 100644
index 0000000000000000000000000000000000000000..71f4f4b1ecda5556fe708f85d71407fecc48d17e
--- /dev/null
+++ b/kat_test/physics/reference/homodyne_sd_c.out
@@ -0,0 +1,181 @@
+-180.000000000000  7.69372151928894  90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+-178.000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+-176.000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-174.000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-172.000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-170.000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-168.000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-166.000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-164.000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-162.000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-160.000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-158.000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-156.000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-154.000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-152.000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-150.000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-148.000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-146.000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-144.000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-142.000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-140.000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+-138.000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-136.000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-134.000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-132.000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317488  0.00000000000000  6.56741589317488  0.00000000000000 
+-130.000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-128.000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-126.000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215600  0.00000000000000  7.57963412215600  0.00000000000000 
+-124.000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+-122.000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-120.000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+-118.000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218019  0.00000000000000  8.81800487218019  0.00000000000000 
+-116.000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+-114.000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-112.000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-110.000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+-108.000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-106.000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-104.000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-102.000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-100.000000000000  7.69372151928894  10.0000000000000  7.69372151928894  10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+-98.0000000000000  7.69372151928894  7.99999999999999  7.69372151928894  7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-96.0000000000000  7.69372151928894  6.00000000000001  7.69372151928894  6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-94.0000000000000  7.69372151928894  4.00000000000000  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-92.0000000000000  7.69372151928894  2.00000000000000  7.69372151928894  2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-90.0000000000000  7.69372151928894 -3.50835464926744e-15  7.69372151928894 -3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+-88.0000000000000  7.69372151928894 -2.00000000000001  7.69372151928894 -2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+-86.0000000000000  7.69372151928894 -4.00000000000000  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+-84.0000000000000  7.69372151928894 -6.00000000000000  7.69372151928894 -6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+-82.0000000000000  7.69372151928894 -8.00000000000000  7.69372151928894 -8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+-80.0000000000000  7.69372151928894 -10.0000000000000  7.69372151928894 -10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+-78.0000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+-76.0000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+-74.0000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+-72.0000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+-70.0000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343894  0.00000000000000  9.84191999343894  0.00000000000000 
+-68.0000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+-66.0000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+-64.0000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286202  0.00000000000000  9.09752430286202  0.00000000000000 
+-62.0000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218019  0.00000000000000  8.81800487218019  0.00000000000000 
+-60.0000000000000  7.69372151928894 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000000  0.00000000000000  8.52500000000000  0.00000000000000 
+-58.0000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+-56.0000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740876  0.00000000000000  7.90430263740876  0.00000000000000 
+-54.0000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+-52.0000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+-50.0000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+-48.0000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317488  0.00000000000000  6.56741589317488  0.00000000000000 
+-46.0000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+-44.0000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+-42.0000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+-40.0000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+-38.0000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+-36.0000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+-34.0000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+-32.0000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+-30.0000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+-28.0000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+-26.0000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+-24.0000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+-22.0000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+-20.0000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+-18.0000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+-16.0000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+-14.0000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+-12.0000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+-10.0000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+-8.00000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+-6.00000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+-4.00000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+-2.00000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 0.00000000000000  7.69372151928894 -90.0000000000000  7.69372151928894  90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000 
+ 2.00000000000000  7.69372151928894  88.0000000000000  7.69372151928894  88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 4.00000000000000  7.69372151928894  86.0000000000000  7.69372151928894  86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 6.00000000000000  7.69372151928894  84.0000000000000  7.69372151928894  84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 8.00000000000000  7.69372151928894  82.0000000000000  7.69372151928894  82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 10.0000000000000  7.69372151928894  80.0000000000000  7.69372151928894  80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 12.0000000000000  7.69372151928894  78.0000000000000  7.69372151928894  78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 14.0000000000000  7.69372151928894  76.0000000000000  7.69372151928894  76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 16.0000000000000  7.69372151928894  74.0000000000000  7.69372151928894  74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 18.0000000000000  7.69372151928894  72.0000000000000  7.69372151928894  72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 20.0000000000000  7.69372151928894  70.0000000000000  7.69372151928894  70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 22.0000000000000  7.69372151928894  68.0000000000000  7.69372151928894  68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 24.0000000000000  7.69372151928894  66.0000000000000  7.69372151928894  66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 26.0000000000000  7.69372151928894  64.0000000000000  7.69372151928894  64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 28.0000000000000  7.69372151928894  62.0000000000000  7.69372151928894  62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 30.0000000000000  7.69372151928894  60.0000000000000  7.69372151928894  60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 32.0000000000000  7.69372151928894  58.0000000000000  7.69372151928894  58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 34.0000000000000  7.69372151928894  56.0000000000000  7.69372151928894  56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 36.0000000000000  7.69372151928894  54.0000000000000  7.69372151928894  54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 38.0000000000000  7.69372151928894  52.0000000000000  7.69372151928894  52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 40.0000000000000  7.69372151928894  50.0000000000000  7.69372151928894  50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+ 42.0000000000000  7.69372151928894  48.0000000000000  7.69372151928894  48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 44.0000000000000  7.69372151928894  46.0000000000000  7.69372151928894  46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 46.0000000000000  7.69372151928894  44.0000000000000  7.69372151928894  44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 48.0000000000000  7.69372151928894  42.0000000000000  7.69372151928894  42.0000000000000  6.56741589317488  0.00000000000000  6.56741589317488  0.00000000000000 
+ 50.0000000000000  7.69372151928894  40.0000000000000  7.69372151928894  40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 52.0000000000000  7.69372151928894  38.0000000000000  7.69372151928894  38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 54.0000000000000  7.69372151928894  36.0000000000000  7.69372151928894  36.0000000000000  7.57963412215599  0.00000000000000  7.57963412215599  0.00000000000000 
+ 56.0000000000000  7.69372151928894  34.0000000000000  7.69372151928894  34.0000000000000  7.90430263740876  0.00000000000000  7.90430263740876  0.00000000000000 
+ 58.0000000000000  7.69372151928894  32.0000000000000  7.69372151928894  32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 60.0000000000000  7.69372151928894  30.0000000000000  7.69372151928894  30.0000000000000  8.52500000000000  0.00000000000000  8.52500000000000  0.00000000000000 
+ 62.0000000000000  7.69372151928894  28.0000000000000  7.69372151928894  28.0000000000000  8.81800487218019  0.00000000000000  8.81800487218019  0.00000000000000 
+ 64.0000000000000  7.69372151928894  26.0000000000000  7.69372151928894  26.0000000000000  9.09752430286202  0.00000000000000  9.09752430286202  0.00000000000000 
+ 66.0000000000000  7.69372151928894  24.0000000000000  7.69372151928894  24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 68.0000000000000  7.69372151928894  22.0000000000000  7.69372151928894  22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 70.0000000000000  7.69372151928894  20.0000000000000  7.69372151928894  20.0000000000000  9.84191999343894  0.00000000000000  9.84191999343894  0.00000000000000 
+ 72.0000000000000  7.69372151928894  18.0000000000000  7.69372151928894  18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 74.0000000000000  7.69372151928894  16.0000000000000  7.69372151928894  16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 76.0000000000000  7.69372151928894  14.0000000000000  7.69372151928894  14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 78.0000000000000  7.69372151928894  12.0000000000000  7.69372151928894  12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 80.0000000000000  7.69372151928894  9.99999999999999  7.69372151928894  10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+ 82.0000000000000  7.69372151928894  7.99999999999999  7.69372151928894  8.00000000000000  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 84.0000000000000  7.69372151928894  5.99999999999999  7.69372151928894  6.00000000000000  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 86.0000000000000  7.69372151928894  3.99999999999999  7.69372151928894  4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 88.0000000000000  7.69372151928894  2.00000000000001  7.69372151928894  2.00000000000001  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 90.0000000000000  7.69372151928894  7.01670929853488e-15  7.69372151928894  3.50835464926744e-15  11.0000000000000  0.00000000000000  11.0000000000000  0.00000000000000 
+ 92.0000000000000  7.69372151928894 -2.00000000000001  7.69372151928894 -2.00000000000000  10.9879420487861  0.00000000000000  10.9879420487861  0.00000000000000 
+ 94.0000000000000  7.69372151928894 -4.00000000000001  7.69372151928894 -4.00000000000000  10.9518269402708  0.00000000000000  10.9518269402708  0.00000000000000 
+ 96.0000000000000  7.69372151928894 -6.00000000000002  7.69372151928894 -6.00000000000001  10.8918306236323  0.00000000000000  10.8918306236323  0.00000000000000 
+ 98.0000000000000  7.69372151928894 -7.99999999999999  7.69372151928894 -7.99999999999999  10.8082453948947  0.00000000000000  10.8082453948947  0.00000000000000 
+ 100.000000000000  7.69372151928894 -9.99999999999999  7.69372151928894 -10.0000000000000  10.7014784728903  0.00000000000000  10.7014784728903  0.00000000000000 
+ 102.000000000000  7.69372151928894 -12.0000000000000  7.69372151928894 -12.0000000000000  10.5720500153309  0.00000000000000  10.5720500153309  0.00000000000000 
+ 104.000000000000  7.69372151928894 -14.0000000000000  7.69372151928894 -14.0000000000000  10.4205905846517  0.00000000000000  10.4205905846517  0.00000000000000 
+ 106.000000000000  7.69372151928894 -16.0000000000000  7.69372151928894 -16.0000000000000  10.2478380759743  0.00000000000000  10.2478380759743  0.00000000000000 
+ 108.000000000000  7.69372151928894 -18.0000000000000  7.69372151928894 -18.0000000000000  10.0546341221560  0.00000000000000  10.0546341221560  0.00000000000000 
+ 110.000000000000  7.69372151928894 -20.0000000000000  7.69372151928894 -20.0000000000000  9.84191999343895  0.00000000000000  9.84191999343895  0.00000000000000 
+ 112.000000000000  7.69372151928894 -22.0000000000000  7.69372151928894 -22.0000000000000  9.61073201167633  0.00000000000000  9.61073201167633  0.00000000000000 
+ 114.000000000000  7.69372151928894 -24.0000000000000  7.69372151928894 -24.0000000000000  9.36219650147635  0.00000000000000  9.36219650147635  0.00000000000000 
+ 116.000000000000  7.69372151928894 -26.0000000000000  7.69372151928894 -26.0000000000000  9.09752430286201  0.00000000000000  9.09752430286201  0.00000000000000 
+ 118.000000000000  7.69372151928894 -28.0000000000000  7.69372151928894 -28.0000000000000  8.81800487218019  0.00000000000000  8.81800487218019  0.00000000000000 
+ 120.000000000000  7.69372151928894 -30.0000000000000  7.69372151928894 -30.0000000000000  8.52500000000001  0.00000000000000  8.52500000000001  0.00000000000000 
+ 122.000000000000  7.69372151928894 -32.0000000000000  7.69372151928894 -32.0000000000000  8.21993717660594  0.00000000000000  8.21993717660594  0.00000000000000 
+ 124.000000000000  7.69372151928894 -34.0000000000000  7.69372151928894 -34.0000000000000  7.90430263740877  0.00000000000000  7.90430263740877  0.00000000000000 
+ 126.000000000000  7.69372151928894 -36.0000000000000  7.69372151928894 -36.0000000000000  7.57963412215600  0.00000000000000  7.57963412215600  0.00000000000000 
+ 128.000000000000  7.69372151928894 -38.0000000000000  7.69372151928894 -38.0000000000000  7.24751338321836  0.00000000000000  7.24751338321836  0.00000000000000 
+ 130.000000000000  7.69372151928894 -40.0000000000000  7.69372151928894 -40.0000000000000  6.90955847945131  0.00000000000000  6.90955847945131  0.00000000000000 
+ 132.000000000000  7.69372151928894 -42.0000000000000  7.69372151928894 -42.0000000000000  6.56741589317488  0.00000000000000  6.56741589317488  0.00000000000000 
+ 134.000000000000  7.69372151928894 -44.0000000000000  7.69372151928894 -44.0000000000000  6.22275250867738  0.00000000000000  6.22275250867738  0.00000000000000 
+ 136.000000000000  7.69372151928894 -46.0000000000000  7.69372151928894 -46.0000000000000  5.87724749132262  0.00000000000000  5.87724749132262  0.00000000000000 
+ 138.000000000000  7.69372151928894 -48.0000000000000  7.69372151928894 -48.0000000000000  5.53258410682512  0.00000000000000  5.53258410682512  0.00000000000000 
+ 140.000000000000  7.69372151928894 -50.0000000000000  7.69372151928894 -50.0000000000000  5.19044152054870  0.00000000000000  5.19044152054870  0.00000000000000 
+ 142.000000000000  7.69372151928894 -52.0000000000000  7.69372151928894 -52.0000000000000  4.85248661678165  0.00000000000000  4.85248661678165  0.00000000000000 
+ 144.000000000000  7.69372151928894 -54.0000000000000  7.69372151928894 -54.0000000000000  4.52036587784401  0.00000000000000  4.52036587784401  0.00000000000000 
+ 146.000000000000  7.69372151928894 -56.0000000000000  7.69372151928894 -56.0000000000000  4.19569736259124  0.00000000000000  4.19569736259124  0.00000000000000 
+ 148.000000000000  7.69372151928894 -58.0000000000000  7.69372151928894 -58.0000000000000  3.88006282339407  0.00000000000000  3.88006282339407  0.00000000000000 
+ 150.000000000000  7.69372151928894 -60.0000000000000  7.69372151928894 -60.0000000000000  3.57500000000000  0.00000000000000  3.57500000000000  0.00000000000000 
+ 152.000000000000  7.69372151928894 -62.0000000000000  7.69372151928894 -62.0000000000000  3.28199512781980  0.00000000000000  3.28199512781980  0.00000000000000 
+ 154.000000000000  7.69372151928894 -64.0000000000000  7.69372151928894 -64.0000000000000  3.00247569713799  0.00000000000000  3.00247569713799  0.00000000000000 
+ 156.000000000000  7.69372151928894 -66.0000000000000  7.69372151928894 -66.0000000000000  2.73780349852365  0.00000000000000  2.73780349852365  0.00000000000000 
+ 158.000000000000  7.69372151928894 -68.0000000000000  7.69372151928894 -68.0000000000000  2.48926798832368  0.00000000000000  2.48926798832368  0.00000000000000 
+ 160.000000000000  7.69372151928894 -70.0000000000000  7.69372151928894 -70.0000000000000  2.25808000656106  0.00000000000000  2.25808000656106  0.00000000000000 
+ 162.000000000000  7.69372151928894 -72.0000000000000  7.69372151928894 -72.0000000000000  2.04536587784401  0.00000000000000  2.04536587784401  0.00000000000000 
+ 164.000000000000  7.69372151928894 -74.0000000000000  7.69372151928894 -74.0000000000000  1.85216192402569  0.00000000000000  1.85216192402569  0.00000000000000 
+ 166.000000000000  7.69372151928894 -76.0000000000000  7.69372151928894 -76.0000000000000  1.67940941534831  0.00000000000000  1.67940941534831  0.00000000000000 
+ 168.000000000000  7.69372151928894 -78.0000000000000  7.69372151928894 -78.0000000000000  1.52794998466913  0.00000000000000  1.52794998466913  0.00000000000000 
+ 170.000000000000  7.69372151928894 -80.0000000000000  7.69372151928894 -80.0000000000000  1.39852152710975  0.00000000000000  1.39852152710975  0.00000000000000 
+ 172.000000000000  7.69372151928894 -82.0000000000000  7.69372151928894 -82.0000000000000  1.29175460510532  0.00000000000000  1.29175460510532  0.00000000000000 
+ 174.000000000000  7.69372151928894 -84.0000000000000  7.69372151928894 -84.0000000000000  1.20816937636766  0.00000000000000  1.20816937636766  0.00000000000000 
+ 176.000000000000  7.69372151928894 -86.0000000000000  7.69372151928894 -86.0000000000000  1.14817305972923  0.00000000000000  1.14817305972923  0.00000000000000 
+ 178.000000000000  7.69372151928894 -88.0000000000000  7.69372151928894 -88.0000000000000  1.11205795121387  0.00000000000000  1.11205795121387  0.00000000000000 
+ 180.000000000000  7.69372151928894 -90.0000000000000  7.69372151928894 -90.0000000000000  1.10000000000000  0.00000000000000  1.10000000000000  0.00000000000000