summaryrefslogtreecommitdiffstats
diff options
context:
space:
mode:
-rw-r--r--.gitignore2
-rw-r--r--fiz/vaje/3/dokument.lyx1073
-rw-r--r--fiz/vaje/3/meritev.tsv8
-rw-r--r--fiz/vaje/4/.gitignore1
-rw-r--r--fiz/vaje/4/dokument.lyx713
-rw-r--r--fiz/vaje/4/nihanje.tsv1201
-rwxr-xr-xfiz/vaje/4/preseki.py25
7 files changed, 3023 insertions, 0 deletions
diff --git a/.gitignore b/.gitignore
index 3dc5117..31500ee 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,3 +4,5 @@ fit.log
core
*.lyx~
\#*.lyx#
+.RData
+.Rhistory
diff --git a/fiz/vaje/3/dokument.lyx b/fiz/vaje/3/dokument.lyx
new file mode 100644
index 0000000..194d065
--- /dev/null
+++ b/fiz/vaje/3/dokument.lyx
@@ -0,0 +1,1073 @@
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass article
+\begin_preamble
+\usepackage{siunitx}
+\usepackage{pgfplots}
+\usepackage{listings}
+\usepackage{multicol}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}}
+\end_preamble
+\use_default_options true
+\maintain_unincluded_children false
+\language slovene
+\language_package default
+\inputencoding auto
+\fontencoding global
+\font_roman "default" "default"
+\font_sans "default" "default"
+\font_typewriter "default" "default"
+\font_math "auto" "auto"
+\font_default_family default
+\use_non_tex_fonts false
+\font_sc false
+\font_osf false
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures true
+\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
+\paperfontsize default
+\spacing single
+\use_hyperref false
+\papersize default
+\use_geometry true
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 1
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
+\use_bibtopic false
+\use_indices false
+\paperorientation portrait
+\suppress_date false
+\justification false
+\use_refstyle 1
+\use_minted 0
+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\leftmargin 1cm
+\topmargin 2cm
+\rightmargin 1cm
+\bottommargin 2cm
+\headheight 1cm
+\headsep 1cm
+\footskip 1cm
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
+\paragraph_indentation default
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style german
+\dynamic_quotes 0
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tracking_changes false
+\output_changes false
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
+\end_header
+
+\begin_body
+
+\begin_layout Title
+Energija prožne vzmeti
+\end_layout
+
+\begin_layout Author
+
+\noun on
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+16.
+ november 2022
+\end_layout
+
+\begin_layout Abstract
+Poročilo tretje vaje pri predmetu
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+ Vaja je potekala 13.
+ oktobra 2022.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Naloga
+\end_layout
+
+\begin_layout Enumerate
+S pomočjo prožne vzmeti poženi leseno klado po vodoravni podlagi in opazuj,
+ na kakšni poti se ustavi.
+ Iz meritev določi koeficient vzmeti.
+\end_layout
+
+\begin_layout Enumerate
+Koeficient vzmeti določi tudi s pomočjo elektronske merilne tehtnice in
+ primerjaj obe vredosti.
+\end_layout
+
+\begin_layout Section
+Potrebščine
+\end_layout
+
+\begin_layout Itemize
+cev iz pleksi stekla z zatičem
+\end_layout
+
+\begin_layout Itemize
+vzmet
+\end_layout
+
+\begin_layout Itemize
+lesena klada
+\end_layout
+
+\begin_layout Itemize
+silomer
+\end_layout
+
+\begin_layout Itemize
+merilni trak
+\end_layout
+
+\begin_layout Itemize
+elektronska tehtnica
+\end_layout
+
+\begin_layout Section
+Potek dela
+\end_layout
+
+\begin_layout Subsection
+Izstreljevanje klade
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Izstreljevanje-klade"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Vzmet vstavi v cev iz pleksi stekla in zatič namesti v tako lego, da bo
+ iz cevi gledalo
+\begin_inset Formula $\SI{3}{\centi\meter}$
+\end_inset
+
+ vzmeti.
+\end_layout
+
+\begin_layout Standard
+Pred vzmet postavi leseno klado in s klado stisni vzmet tako, da bo vsa
+ v cevi.
+\end_layout
+
+\begin_layout Standard
+Klado spusti in izmeri, kako daleč se premakne (
+\begin_inset Formula $s$
+\end_inset
+
+).
+ Meritev ponovi vsaj petkrat.
+\end_layout
+
+\begin_layout Standard
+Prestavi zatič za eno luknjo tako, da bo iz cevi gledal
+\begin_inset Formula $\SI{1}{\centi\meter}$
+\end_inset
+
+ daljši kos vzmeti in ponovno izstreli klado.
+ Poskus ponavljaj na enak način z različnimi legami zatiča tako, da gleda
+ pri vsaki naslednji ponovitvi iz cevi
+\begin_inset Formula $\SI{1}{\centi\meter}$
+\end_inset
+
+ daljši del vzmeti.
+ Vsako meritev petkrat ponovi.
+ Meritve zaključiš pri tisti dolžini vzmeti, ko klada doseže rob mize.
+\end_layout
+
+\begin_layout Standard
+Nariši graf premika klade po izstrelitvi (
+\begin_inset Formula $s$
+\end_inset
+
+) v odvisnosti od deformacije vzmeti pred izstrelitvijo (
+\begin_inset Formula $x$
+\end_inset
+
+) ter graf
+\begin_inset Formula $s(x^{2})$
+\end_inset
+
+.
+ Iz naklona drugega grafa in izmerjene sile trenja izračunaj koeficient
+ uporabljene vzmeti.
+ Tako izračunani koeficient primerjaj z vrednostjo, ki si jo dobil pri meritvi
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "subsec:Določanje-koeficienta-s-tehtnico"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+.
+\begin_inset Formula
+\[
+m_{\text{{klade}}}=\SI{193}{\gram}
+\]
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+m_{\text{{pleksi}}}=\SI{63,6}{\gram}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+m_{\text{{vzmeti}}}=\SI{13,7}{\gram}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+l_{\text{{vzmeti}}}=\SI{16,7}{\centi\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+l_{\text{{pleksi}}}=\SI{25}{\centi\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+l_{\text{{pleksi}}_{\text{{luknja0}}}}=\SI{8}{\centi\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+l_{\text{{pleksi}}_{\text{{\Delta med\ luknjami}}}}=\SI{1}{\centi\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Vleka klade
+\end_layout
+
+\begin_layout Standard
+Z elastiko pripni na klado silomer in izmeri silo trenja pri premikanju
+ klade po mizi.
+ Oceni napako meritve.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+F_{\text{{lepenja}}}=\SI{0,9}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+F_{\text{{trenja}}}=\SI{0,7}{\newton}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+\overline{{F}}x=E=\frac{{1}}{2}kx^{2}=F_{\text{{trenja}}}s\rightarrow k=2\frac{{F_{\text{{trenja}}}s}}{x^{2}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{lstlisting}
+\end_layout
+
+\begin_layout Plain Layout
+
+fit (x*q)**2 "meritev.tsv" using 2:4 via q
+\end_layout
+
+\begin_layout Plain Layout
+
+fit (x*p)
+\begin_inset Quotes gld
+\end_inset
+
+meritev.tsv
+\begin_inset Quotes grd
+\end_inset
+
+ using 3:4 via p
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{lstlisting}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Naklonski kot premice je
+\begin_inset Formula $p=\SI{35,1}{\per\meter}\pm\SI{0,4462}{\per\meter}$
+\end_inset
+
+, koeficient vzmeti je torej po zgornji enačbi
+\begin_inset Formula $k=2F_{\text{{trenja}}}p=\SI{51,2568}{\kilo\gram\per\second\squared}$
+\end_inset
+
+.
+ Za kvadratno krivuljo pa je
+\begin_inset Formula $q=6,05079\pm0,03686$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Določanje koeficienta s tehtnico
+\begin_inset CommandInset label
+LatexCommand label
+name "subsec:Določanje-koeficienta-s-tehtnico"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Koeficient vzmeti določi še na drug način: vzmet vstavi v cev iz pleksija,
+ tako da je še nekaj gleda iz cevi in postavi vse skupaj navpično na elektronsko
+ tehtnico.
+ Preberi, kaj kaže tehtnica, ko vzmet v cevi samo stoji na tehtnici in koliko,
+ ko cev pritisneš navzdol, da se vzmet skrči.
+ Iz obeh odčitanih vrednosti in deformacije vzmeti izračunaj koeficient
+ vzmeti.
+ Meritev ponovi za vsaj štiri različne deformacije vzmeti.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+k=\frac{F}{x}=\frac{{m_{\text{{kot\ jo\ kaže\ tehtnica}}}g}}{x}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+\overline{{k}}=\SI{65,381}{\kilo\gram\per\second\squared}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Čeprav je red velikosti na oba načina izmerjenega koeficienta vzmeti enak,
+ se pojavi razlika; predvidevam, da zato, ker se klada ustavi nekoliko prej,
+ kot bi se, če lepenja ne bi bilo.
+ Lepenje, izmerjeno
+\begin_inset Formula $\SI{0,9}{\newton},$
+\end_inset
+
+ povzroči, da se telo ustavi prej, čeprav tega ne upoštevam pri računanju
+ energij, zato izgleda, kakor da je bilo vanjo vložene več energije.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="8" columns="5">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $n_{\text{{luknje}}}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $x\text{\left[\si{\centi\meter}\right]}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $s\left[\si{\meter}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $m_{\text{{kot\ jo\ kaže\ tehtnica}}}\left[\si{\gram}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $k_{\text{{iz\ naloge\ \ref{subsec:Dolo=00003D00003D00010Danje-koeficienta-s-tehtnico}}}}\left[\si{\kilo\gram\per\second\squared}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,03
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,028
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+190
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+62.13
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+1
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,04
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,05
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+260
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+63,765
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+2
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,05
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,096
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+340
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+66,708
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+3
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,06
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,13
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+400
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+65,4
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+4
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,07
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,174
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+470
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+65,867
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+5
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,08
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,24
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+540
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+66,2175
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+6
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,09
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,297
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+620
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+67,58
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Meritve
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{tikzpicture}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, ylabel=$s$, domain=0:0.1, ytick pos=left, samples=256
+, xlabel=$
+\backslash
+color{red}x
+\backslash
+color{black}$, xtick pos=bottom, ylabel=$s$]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red, only marks] table [x=x, y=s] {meritev.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {((x*(6.05079+0.03686))^2});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {((x*(6.05079-0.03686))^2});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red] (x, {((x*(6.05079))^2});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, xlabel near ticks, domain=0:0.01, samples=16,
+ xtick pos=bottom, xtick pos=top, axis x line*=top, xlabel=$x^2$]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[only marks] table [x=x2, y=s] {meritev.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(36.612+0.4462)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(36.612-0.4462)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[black] (x, {x*36.612});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{tikzpicture}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:graf"
+
+\end_inset
+
+Grafa
+\begin_inset Formula $s(x)$
+\end_inset
+
+ in
+\begin_inset Formula $s(x^{2})$
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_body
+\end_document
diff --git a/fiz/vaje/3/meritev.tsv b/fiz/vaje/3/meritev.tsv
new file mode 100644
index 0000000..0165866
--- /dev/null
+++ b/fiz/vaje/3/meritev.tsv
@@ -0,0 +1,8 @@
+n x x2 s m
+0 0.03 0.0009 0.028 190
+1 0.04 0.0016 0.05 260
+2 0.05 0.0025 0.096 340
+3 0.06 0.0036 0.13 400
+4 0.07 0.0049 0.174 470
+5 0.08 0.0064 0.24 540
+6 0.09 0.0081 0.297 620
diff --git a/fiz/vaje/4/.gitignore b/fiz/vaje/4/.gitignore
new file mode 100644
index 0000000..4eb278d
--- /dev/null
+++ b/fiz/vaje/4/.gitignore
@@ -0,0 +1 @@
+v_od_x.tsv
diff --git a/fiz/vaje/4/dokument.lyx b/fiz/vaje/4/dokument.lyx
new file mode 100644
index 0000000..d2051d2
--- /dev/null
+++ b/fiz/vaje/4/dokument.lyx
@@ -0,0 +1,713 @@
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass article
+\begin_preamble
+\usepackage{siunitx}
+\usepackage{pgfplots}
+\usepackage{listings}
+\usepackage{multicol}
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}}
+\end_preamble
+\use_default_options true
+\maintain_unincluded_children false
+\language slovene
+\language_package default
+\inputencoding auto
+\fontencoding global
+\font_roman "default" "default"
+\font_sans "default" "default"
+\font_typewriter "default" "default"
+\font_math "auto" "auto"
+\font_default_family default
+\use_non_tex_fonts false
+\font_sc false
+\font_osf false
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures true
+\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
+\paperfontsize default
+\spacing single
+\use_hyperref false
+\papersize default
+\use_geometry true
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 1
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
+\use_bibtopic false
+\use_indices false
+\paperorientation portrait
+\suppress_date false
+\justification false
+\use_refstyle 1
+\use_minted 0
+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\leftmargin 1cm
+\topmargin 2cm
+\rightmargin 1cm
+\bottommargin 2cm
+\headheight 1cm
+\headsep 1cm
+\footskip 1cm
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
+\paragraph_indentation default
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style german
+\dynamic_quotes 0
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tracking_changes false
+\output_changes false
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
+\end_header
+
+\begin_body
+
+\begin_layout Title
+Dušeno nihanje nitnega nihala
+\end_layout
+
+\begin_layout Author
+
+\noun on
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+16.
+ november 2022
+\end_layout
+
+\begin_layout Abstract
+Poročilo četrte vaje pri predmetu
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+ Vaja je potekala 13.
+ oktobra 2022.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Zveza med amplitudo hitrosti in amplitudo odmika
+\end_layout
+
+\begin_layout Subsection
+Naloga
+\end_layout
+
+\begin_layout Standard
+Razišči zvezo med amplitudo hitrosti in amplitudo odmika pri nihanju nitnega
+ nihala.
+\end_layout
+
+\begin_layout Subsection
+Potek dela
+\end_layout
+
+\begin_layout Enumerate
+Ko je nihalo v ravnovesni legi, nastavi ničlo slednika gibanja.
+\end_layout
+
+\begin_layout Enumerate
+S pomočjo slednika gibanja zajemi podatke za
+\begin_inset Formula $\SI{60}{\second}$
+\end_inset
+
+ dušenega nihanja nitnega nihala.
+\end_layout
+
+\begin_layout Enumerate
+Na vsake štiri nihaje odčitaj amplitudo odmika in amplitudo hitrosti in
+ podatke zapiši v tabelo.
+ Ker nihalo nima največje hitrosti, ko je odmik največji, odčitavaj največjo
+ hitrost vedno četrt nihaja prej kot največji odmik.
+\end_layout
+
+\begin_layout Enumerate
+Nariši graf amplitude hitrosti
+\begin_inset Formula $v_{0}$
+\end_inset
+
+ v odvisnosti od amplitude odmika
+\begin_inset Formula $x_{0}$
+\end_inset
+
+! Določi naklon grafa in oceni nenatančnost te vrednosti.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{lstlisting}
+\end_layout
+
+\begin_layout Plain Layout
+
+fit (x*p) "v_od_x.tsv" using 1:2 via p
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{lstlisting}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+p=\SI{4,52127}{\per\second}\pm\SI{0,1111}{\per\second}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+Iz grafa
+\begin_inset Formula $x(t)$
+\end_inset
+
+ določi
+\begin_inset Formula $t_{0}$
+\end_inset
+
+ in določi nenatančnost te vrednosti.
+ Iz tako določenega
+\begin_inset Formula $t_{0}$
+\end_inset
+
+ in iz naklona grafa
+\begin_inset Formula $v_{0}(x_{0})$
+\end_inset
+
+ preveri zvezo
+\begin_inset Formula $v_{0}=x_{0}2\pi/t_{0}$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+t_{0_{\text{{odčitan}}}}=\frac{{t}}{n}=\SI{1,2806}{\second}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+t_{0_{\text{{izračunan}}}}=\frac{{2\pi}}{p}=\SI{1,38969}{\second}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Red velikosti je enak, vendar se rešitvi razlikujeta.
+ Najverjetneje so bili med zaznavanjem prehodov čez nič za odčitanje
+\begin_inset Formula $t_{0}$
+\end_inset
+
+ iz grafa
+\begin_inset Formula $x(t)$
+\end_inset
+
+ lažni pozitivni odčitki.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{tikzpicture}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, ylabel=$v$, domain=-0.1:0.1, ytick pos=left, samples=2
+56, xlabel=$x$, xtick pos=bottom]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red, only marks] table [x=x, y=v] {v_od_x.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(4.52127+0.1111)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(4.52127-0.1111)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red] (x, {x*(4.52127)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{tikzpicture}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:graf"
+
+\end_inset
+
+Graf amplitude hitrosti nihanja v odvisnosti od amplitude odmika nihala.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Zmanjševanje amplitude pri dušenem nihanju
+\end_layout
+
+\begin_layout Subsection
+Naloga
+\end_layout
+
+\begin_layout Standard
+Potrdi, da se amplituda
+\begin_inset Formula $x_{0}$
+\end_inset
+
+ pri dušenem nihanju zmanjšuje eksponentno kot
+\begin_inset Formula $x_{0}(t)=x_{00}e^{-\beta t}$
+\end_inset
+
+, kjer je
+\begin_inset Formula $x_{00}$
+\end_inset
+
+ amplituda nihala ob času
+\series bold
+
+\begin_inset Formula $t=\SI{0}{\second}$
+\end_inset
+
+
+\series default
+,
+\begin_inset Formula $\beta$
+\end_inset
+
+ pa koeficient dušenja.
+\end_layout
+
+\begin_layout Subsection
+Potek dela
+\end_layout
+
+\begin_layout Enumerate
+Nariši graf amplitude hitrosti
+\begin_inset Formula $x_{0}$
+\end_inset
+
+ v odvisnosti od časa! Skozi točke na grafu
+\series bold
+
+\begin_inset Formula $x_{0}(t)$
+\end_inset
+
+
+\series default
+ nariši ustrezno eksponentno krivuljo!
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{lstlisting}
+\end_layout
+
+\begin_layout Plain Layout
+
+n=0.1
+\end_layout
+
+\begin_layout Plain Layout
+
+b=0.01
+\end_layout
+
+\begin_layout Plain Layout
+
+fit n*exp(-b*x) "v_od_x.tsv" using 3:4 via n, b
+\end_layout
+
+\begin_layout Plain Layout
+
+fit (x*ln) "v_od_x.tsv" using 3:5 via ln
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{lstlisting}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+n=x_{00}=\SI{0,0943867}{\meter}\pm\SI{0,001524}{\meter}
+\]
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+b=\SI{0,0441715}{\per\second}\pm\SI{0,001038}{\per\second}=\beta
+\]
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+ln=-\beta=\SI{-0,0467447}{\per\second}\pm\SI{0,001239}{\per\second}
+\]
+
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Formula $b$
+\end_inset
+
+ in
+\begin_inset Formula $ln$
+\end_inset
+
+, torej
+\begin_inset Formula $\beta$
+\end_inset
+
+, pridobljeni pred linearizacijo in po linearizaciji sta skoraj enaki.
+ Razlika med njima se pojavi samo zaradi namerne nenatančnosti računalnika.
+\end_layout
+
+\begin_layout Enumerate
+Nariši graf
+\begin_inset Formula $\ln\left(\frac{x_{0}}{x_{00}}\right)$
+\end_inset
+
+ v odvisnosti od časa in iz grafa določi koeficient dušenja
+\begin_inset Formula $\beta$
+\end_inset
+
+.
+ Določitev napak v
+\begin_inset Formula $\ref{enu:Nari=00003D000161i-graf-}.$
+\end_inset
+
+ delu vaje ni potrebna.
+\begin_inset CommandInset label
+LatexCommand label
+name "enu:Nariši-graf-"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{tikzpicture}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, domain=0:60, ytick pos=left, samples=256, xlabel=$t$
+, xtick pos=bottom, ylabel=$
+\backslash
+sqrt{x^2}$]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[only marks] table [x=t, y=absx] {v_od_x.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {(0.0943867+0.001524)*exp((-0.0441715+ 0.001038)*x)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {(0.0943867-0.001524)*exp((-0.0441715- 0.001038)*x)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[black] (x, {0.0943867*exp(-0.0441715*x)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, domain=0:60, xlabel near ticks, samples=16,
+ xlabel=$t$, ylabel near ticks, ytick pos=right, axis y line*=right, ylabel=$
+\backslash
+ln
+\backslash
+frac{x_0}{x_{00}}$]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red, only marks] table [x=t, y=ln] {v_od_x.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(-0.0467447+0.001239)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(-0.0467447-0.001239)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red] (x, {x*-0.0467447});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{tikzpicture}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+\begin_inset CommandInset label
+LatexCommand label
+name "fig:graf-1"
+
+\end_inset
+
+Graf amplitude nihanja (največjega odmika od osi) v odvisnosti od časa.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Uporabljen program
+\end_layout
+
+\begin_layout Standard
+Za zaznavanje prehoda ničel in generiranje tabel sem spisal majhen program:
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+lstinputlisting[language=Python]{preseki.py}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_body
+\end_document
diff --git a/fiz/vaje/4/nihanje.tsv b/fiz/vaje/4/nihanje.tsv
new file mode 100644
index 0000000..40de805
--- /dev/null
+++ b/fiz/vaje/4/nihanje.tsv
@@ -0,0 +1,1201 @@
+t x v a
+0.05 0.073402 -0.395021667 -0.247764568
+0.1 0.053851 -0.40474 -0.296668534
+0.15 0.033957 -0.422633167 -0.308636481
+0.2 0.0121765 -0.447710278 -0.107282778
+0.25 -0.012348 -0.444851944 0.342385988
+0.3 -0.033614 -0.411123611 0.799687562
+0.35 -0.0533365 -0.369010833 1.321661574
+0.4 -0.0728875 -0.278592222 1.774813272
+0.45 -0.081977 -0.173119722 1.84060787
+0.5 -0.0896945 -0.076698611 1.54805216
+0.55 -0.087808 -0.016483056 1.213838889
+0.6 -0.090552 0.027344722 1.226701389
+0.65 -0.0859215 0.089942222 1.554986265
+0.7 -0.083006 0.180741944 1.895075
+0.75 -0.0698005 0.304793611 1.743318673
+0.8 -0.049735 0.377871667 1.1319
+0.85 -0.0300125 0.409408611 0.600832253
+0.9 -0.0090895 0.432751667 0.152285648
+0.95 0.014406 0.429798056 -0.352104321
+1 0.0355005 0.393306667 -0.779742747
+1.05 0.0536795 0.349097778 -1.150426235
+1.1 0.0715155 0.280021389 -1.519998148
+1.15 0.082663 0.190365 -1.74802963
+1.2 0.0903805 0.099851111 -1.856699228
+1.25 0.092953 0.002763056 -1.8993625
+1.3 0.090552 -0.09261 -1.867232716
+1.35 0.083692 -0.186649167 -1.751787809
+1.4 0.0718585 -0.275638611 -1.474529475
+1.45 0.05488 -0.339474722 -1.082831944
+1.5 0.0368725 -0.379396111 -0.741949228
+1.55 0.01715 -0.415601667 -0.350886883
+1.6 -0.0060025 -0.4210325 0.15435
+1.65 -0.026068 -0.400833611 0.671073148
+1.7 -0.0475055 -0.348430833 1.09532392
+1.75 -0.0608825 -0.287453056 1.41815679
+1.8 -0.0770035 -0.209325278 1.718440586
+1.85 -0.083692 -0.099565278 1.689169136
+1.9 -0.085064 -0.024105278 1.358555247
+1.95 -0.0848925 0.028392778 1.167629167
+2 -0.0821485 0.077556111 1.269417593
+2.05 -0.0780325 0.145679722 1.553133642
+2.1 -0.0691145 0.241719722 1.646982253
+2.15 -0.0536795 0.332328889 1.30641713
+2.2 -0.0337855 0.382254444 0.735120988
+2.25 -0.014063 0.399023333 0.24036466
+2.3 0.006174 0.404263611 -0.210140432
+2.35 0.0276115 0.381015833 -0.676631019
+2.4 0.045619 0.330232778 -1.015714043
+2.45 0.060711 0.272208611 -1.222519753
+2.5 0.072716 0.211040278 -1.458173457
+2.55 0.0828345 0.129673056 -1.723098611
+2.6 0.0866075 0.030488889 -1.824834105
+2.65 0.085407 -0.061644722 -1.750358642
+2.7 0.079919 -0.144822222 -1.635178395
+2.75 0.0708295 -0.223045278 -1.521956636
+2.8 0.057967 -0.303650278 -1.267353241
+2.85 0.0392735 -0.358625556 -0.829181327
+2.9 0.0210945 -0.388638056 -0.333895679
+2.95 -0.000686 -0.391210556 0.140005401
+3 -0.019208 -0.367962778 0.482529012
+3.05 -0.0375585 -0.337855 0.735544444
+3.1 -0.0529935 -0.300029722 1.063405864
+3.15 -0.068943 -0.236098333 1.443299537
+3.2 -0.078204 -0.141392222 1.570177778
+3.25 -0.081291 -0.072601667 1.550910494
+3.3 -0.086093 0.006478889 1.601460648
+3.35 -0.081634 0.097469167 1.478128858
+3.4 -0.0746025 0.160066667 1.266612191
+3.45 -0.0649985 0.211516667 1.237605401
+3.5 -0.0550515 0.284594722 1.174722068
+3.55 -0.036015 0.346525278 0.799274691
+3.6 -0.018179 0.366247778 0.35258071
+3.65 0.0005145 0.378348056 -0.059336883
+3.7 0.0207515 0.363389444 -0.503384259
+3.75 0.038073 0.323372778 -0.849560185
+3.8 0.0533365 0.272970833 -1.093947685
+3.85 0.065513 0.215041944 -1.334312346
+3.9 0.0756315 0.140725278 -1.573988889
+3.95 0.080262 0.052212222 -1.704043056
+4 0.080605 -0.034681111 -1.714894136
+4.05 0.076832 -0.121383889 -1.642218364
+4.1 0.0686 -0.206371667 -1.411381481
+4.15 0.0550515 -0.268111667 -1.070128241
+4.2 0.040817 -0.309081111 -0.782918673
+4.25 0.0241815 -0.344524444 -0.511377006
+4.3 0.0060025 -0.367105278 -0.121743827
+4.35 -0.0138915 -0.360721667 0.330455093
+4.4 -0.0313845 -0.326802778 0.659957407
+4.45 -0.0464765 -0.288310556 0.882483951
+4.5 -0.060025 -0.245626111 1.196265432
+4.55 -0.072716 -0.172738611 1.543447068
+4.6 -0.0787185 -0.073173333 1.564249383
+4.65 -0.077861 -0.008479722 1.418739043
+4.7 -0.079919 0.059834444 1.401694907
+4.75 -0.0722015 0.132626667 1.368559414
+4.8 -0.0660275 0.194938333 1.345798611
+4.85 -0.0540225 0.276019722 1.141427778
+4.9 -0.0365295 0.320800278 0.712254321
+4.95 -0.0207515 0.340522778 0.362373148
+5 -0.0029155 0.357958611 -0.011221605
+5.05 0.016464 0.345096111 -0.455586574
+5.1 0.032928 0.305555833 -0.77402608
+5.15 0.046991 0.260394167 -0.963522994
+5.2 0.0588245 0.212755278 -1.192877778
+5.25 0.069286 0.145203333 -1.475588117
+5.3 0.0742595 0.058500556 -1.626074074
+5.35 0.074774 -0.024200556 -1.620039815
+5.4 0.07203 -0.108426111 -1.487868364
+5.45 0.0632835 -0.17836 -1.241310648
+5.5 0.0533365 -0.230286389 -1.02270108
+5.55 0.0403025 -0.279163889 -0.819971142
+5.6 0.0248675 -0.314226111 -0.575742438
+5.65 0.008575 -0.3404275 -0.245816667
+5.7 -0.0101185 -0.342714167 0.167371296
+5.75 -0.026411 -0.326040556 0.606707716
+5.8 -0.0444185 -0.275733889 0.921230247
+5.85 -0.053851 -0.222854722 1.031911265
+5.9 -0.0660275 -0.177693056 1.210292438
+5.95 -0.073059 -0.105948889 1.443034877
+6 -0.076832 -0.027916389 1.562767284
+6.05 -0.076146 0.056880833 1.523438735
+6.1 -0.071001 0.134532222 1.280745062
+6.15 -0.061397 0.187983056 0.985331019
+6.2 -0.051107 0.220663333 0.887618364
+6.25 -0.040817 0.273733056 0.833998148
+6.3 -0.0234955 0.319942778 0.505342747
+6.35 -0.0066885 0.326612222 0.10390571
+6.4 0.0090895 0.326326389 -0.253068364
+6.45 0.026754 0.304698333 -0.649529784
+6.5 0.040817 0.257345278 -0.950766358
+6.55 0.0526505 0.2032275 -1.125389352
+6.6 0.061397 0.141773333 -1.235223457
+6.65 0.066542 0.082129444 -1.370835494
+6.7 0.070315 0.008479722 -1.541753241
+6.75 0.0684285 -0.082224722 -1.509252932
+6.8 0.061054 -0.154159444 -1.249462191
+6.85 0.0519645 -0.2049425 -1.00200463
+6.9 0.040474 -0.249913611 -0.818753704
+6.95 0.026754 -0.2872625 -0.619623148
+7 0.011662 -0.318227778 -0.301924691
+7.05 -0.0063455 -0.322896389 0.125449074
+7.1 -0.0217805 -0.300791944 0.482158488
+7.15 -0.0361865 -0.275066944 0.822247222
+7.2 -0.0509355 -0.217614444 1.106545525
+7.25 -0.05831 -0.151682222 1.145450617
+7.3 -0.06517 -0.100422778 1.118614043
+7.35 -0.0687715 -0.042684444 1.141639506
+7.4 -0.068943 0.009146667 1.244010185
+7.45 -0.0687715 0.077175 1.402594753
+7.5 -0.062426 0.16464 1.280004012
+7.55 -0.050078 0.213612778 0.977973457
+7.6 -0.0409885 0.255916111 0.752906173
+7.65 -0.0245245 0.293074444 0.454104475
+7.7 -0.0101185 0.300315556 0.165254012
+7.75 0.0049735 0.310224444 -0.148315741
+7.8 0.0221235 0.292598056 -0.572301852
+7.85 0.035672 0.246674167 -0.876185031
+7.9 0.046648 0.197606111 -1.039321759
+7.95 0.055566 0.143011944 -1.176310031
+8 0.061397 0.0797475 -1.287202778
+8.05 0.063798 0.010956944 -1.325472685
+8.1 0.062426 -0.056880833 -1.274710802
+8.15 0.0577955 -0.118335 -1.172234259
+8.2 0.050421 -0.174548889 -1.046520525
+8.25 0.040131 -0.224950833 -0.871262346
+8.3 0.02744 -0.263538333 -0.642436883
+8.35 0.0135485 -0.293265 -0.326326389
+8.4 -0.0029155 -0.299458056 0.049279784
+8.45 -0.0173215 -0.285166389 0.367931019
+8.5 -0.031899 -0.258012222 0.609195525
+8.55 -0.0430465 -0.225713056 0.85977608
+8.6 -0.055223 -0.176930833 1.156460494
+8.65 -0.062426 -0.099374722 1.253485031
+8.7 -0.0639695 -0.038968611 1.122372222
+8.75 -0.06517 0.002286667 1.136663889
+8.8 -0.0656845 0.072601667 1.185837809
+8.85 -0.0571095 0.131006944 1.073092438
+8.9 -0.0516215 0.173786667 1.028364815
+8.95 -0.0413315 0.238385 0.876396759
+9 -0.0262395 0.273637778 0.508042284
+9.05 -0.012691 0.2838325 0.202041821
+9.1 0.001715 0.292979167 -0.100676852
+9.15 0.0176645 0.278878056 -0.47289537
+9.2 0.0306985 0.241910278 -0.770585494
+9.25 0.0420175 0.196939167 -0.968022222
+9.3 0.050764 0.142726111 -1.097017747
+9.35 0.0564235 0.084987778 -1.167735031
+9.4 0.059339 0.0248675 -1.205687346
+9.45 0.058996 -0.037063056 -1.202299691
+9.5 0.055566 -0.097278611 -1.148097222
+9.55 0.0492205 -0.154826389 -1.028470679
+9.6 0.0396165 -0.202655833 -0.849136728
+9.65 0.028469 -0.239147222 -0.655934568
+9.7 0.015778 -0.271732222 -0.389103858
+9.75 0.000343 -0.283260833 -0.034511728
+9.8 -0.01372 -0.27097 0.252380247
+9.85 -0.026754 -0.253248333 0.46331466
+9.9 -0.039102 -0.229333611 0.746766049
+9.95 -0.050764 -0.182171111 1.06732284
+10 -0.05831 -0.1157625 1.238875772
+10.05 -0.0625975 -0.044399444 1.15307284
+10.1 -0.0612255 0.001524444 1.021854167
+10.15 -0.0622545 0.044208889 1.109245062
+10.2 -0.05831 0.111475 1.202035031
+10.25 -0.051107 0.177978889 1.047473302
+10.3 -0.039445 0.224188611 0.727816358
+10.35 -0.0276115 0.247341111 0.442300617
+10.4 -0.0145775 0.263157222 0.237665123
+10.45 -0.001372 0.274971667 -0.030330093
+10.5 0.0138915 0.265920278 -0.392226852
+10.55 0.026411 0.231906111 -0.684306173
+10.6 0.0372155 0.191031944 -0.851412809
+10.65 0.045619 0.145298611 -0.970192438
+10.7 0.0519645 0.094420278 -1.078226852
+10.75 0.0553945 0.036396111 -1.154131481
+10.8 0.0557375 -0.024391111 -1.155560648
+10.85 0.052822 -0.082510556 -1.082884877
+10.9 0.0471625 -0.133674722 -0.978608642
+10.95 0.0392735 -0.180265556 -0.858664506
+11 0.0289835 -0.221235 -0.687111574
+11.05 0.0169785 -0.254772778 -0.401225309
+11.1 0.002401 -0.265158056 -0.040810648
+11.15 -0.0104615 -0.254296389 0.245075617
+11.2 -0.022981 -0.238480278 0.474589198
+11.25 -0.0351575 -0.206276389 0.679012963
+11.3 -0.043904 -0.165688056 0.802450617
+11.35 -0.051107 -0.131102222 0.994752932
+11.4 -0.058653 -0.067647222 1.184038117
+11.45 -0.0581385 0.001048056 1.119672685
+11.5 -0.057281 0.047734167 0.979349691
+11.55 -0.053508 0.095373056 0.890900154
+11.6 -0.0471625 0.131864444 0.88195463
+11.65 -0.0413315 0.184267222 0.848289815
+11.7 -0.028469 0.229143056 0.587969753
+11.75 -0.016807 0.244292222 0.285145216
+11.8 -0.0039445 0.252390833 0.050020833
+11.85 0.008575 0.251914444 -0.224749691
+11.9 0.0221235 0.232954167 -0.541071914
+11.95 0.0327565 0.194271389 -0.789535185
+12 0.0416745 0.149586111 -0.942561883
+12.05 0.04802 0.097564444 -1.029052932
+12.1 0.05145 0.04459 -1.063088272
+12.15 0.052479 -0.009241944 -1.074627469
+12.2 0.0505925 -0.063836111 -1.05244892
+12.25 0.0461335 -0.117763333 -0.960029475
+12.3 0.038416 -0.162925 -0.804726698
+12.35 0.0293265 -0.197606111 -0.644289506
+12.4 0.018522 -0.226570556 -0.47464213
+12.45 0.0066885 -0.250961667 -0.192355247
+12.5 -0.0077175 -0.251152222 0.181504167
+12.55 -0.019551 -0.2272375 0.449393519
+12.6 -0.030527 -0.199035278 0.585164352
+12.65 -0.039445 -0.167021944 0.684359105
+12.7 -0.0468195 -0.138533889 0.893017438
+12.75 -0.055223 -0.077460833 1.079497222
+12.8 -0.0547085 -0.013148333 0.972203858
+12.85 -0.0543655 0.016483056 0.910590895
+12.9 -0.054194 0.065074722 1.044191512
+12.95 -0.048706 0.126624167 1.065946605
+13 -0.0413315 0.184267222 0.849348457
+13.05 -0.029155 0.218567222 0.487239969
+13.1 -0.018179 0.226570556 0.224908488
+13.15 -0.0066885 0.233335278 0.090884414
+13.2 0.004802 0.241243333 -0.130848148
+13.25 0.018522 0.227618611 -0.47289537
+13.3 0.028812 0.18865 -0.724746296
+13.35 0.0372155 0.148252222 -0.844055247
+13.4 0.0437325 0.103948056 -0.932822377
+13.45 0.0478485 0.054975278 -1.005180556
+13.5 0.049392 0.002191389 -1.044350309
+13.55 0.0481915 -0.052593333 -1.014496605
+13.6 0.043904 -0.102328333 -0.921441975
+13.65 0.0375585 -0.144631667 -0.814466204
+13.7 0.0293265 -0.1826475 -0.70113858
+13.75 0.019551 -0.220758611 -0.46834321
+13.8 0.006174 -0.236479444 -0.110522222
+13.85 -0.0053165 -0.227046944 0.1672125
+13.9 -0.016464 -0.213612778 0.323520988
+13.95 -0.0269255 -0.194080833 0.450240432
+14 -0.0361865 -0.167498333 0.561980093
+14.05 -0.0433895 -0.142059167 0.747348302
+14.1 -0.05145 -0.09604 0.978714506
+14.15 -0.0536795 -0.036396111 1.065152623
+14.2 -0.054537 0.015435 1.048690741
+14.25 -0.052136 0.067837778 1.012961574
+14.3 -0.047677 0.116810556 0.947008179
+14.35 -0.040817 0.1689275 0.757405401
+14.4 -0.0296695 0.19894 0.451510802
+14.45 -0.019894 0.207896111 0.24639892
+14.5 -0.009261 0.219424722 0.113909877
+14.55 0.002401 0.221997222 -0.063412654
+14.6 0.0132055 0.216756944 -0.310446759
+14.65 0.0248675 0.193604444 -0.6045375
+14.7 0.0334425 0.151682222 -0.808908333
+14.75 0.0399595 0.107854444 -0.909055864
+14.8 0.0444185 0.059358056 -0.959235494
+14.85 0.045962 0.009908889 -0.959447222
+14.9 0.045276 -0.037539444 -0.932769444
+14.95 0.042189 -0.083844444 -0.884812963
+15 0.0368725 -0.128148611 -0.7931875
+15.05 0.0289835 -0.164830556 -0.661227778
+15.1 0.0200655 -0.193604444 -0.517411265
+15.15 0.0097755 -0.220758611 -0.284562963
+15.2 -0.0029155 -0.227904444 0.051344136
+15.25 -0.014063 -0.212564722 0.323362191
+15.3 -0.0245245 -0.188459444 0.460456327
+15.35 -0.032928 -0.161591111 0.51222392
+15.4 -0.0399595 -0.14406 0.683670988
+15.45 -0.0485345 -0.102233056 0.998458179
+15.5 -0.05145 -0.036491389 1.151379012
+15.55 -0.052136 0.027916389 1.020795525
+15.6 -0.0475055 0.072125278 0.758675772
+15.65 -0.043561 0.090990278 0.698121451
+15.7 -0.040131 0.136151944 0.736020833
+15.75 -0.029841 0.177788333 0.556157562
+15.8 -0.020923 0.194271389 0.322091821
+15.85 -0.01029 0.205133056 0.15032716
+15.9 -0.0001715 0.207705556 -0.000370525
+15.95 0.01029 0.209992222 -0.234171605
+16 0.021952 0.189221667 -0.549170525
+16.05 0.030184 0.148538056 -0.746025
+16.1 0.0365295 0.1089025 -0.828334414
+16.15 0.04116 0.066122778 -0.890423765
+16.2 0.0433895 0.019341389 -0.926047068
+16.25 0.043218 -0.029631389 -0.898204784
+16.3 0.040131 -0.072982778 -0.816477623
+16.35 0.035672 -0.110903333 -0.729986574
+16.4 0.0289835 -0.145870278 -0.637249537
+16.45 0.020923 -0.176454444 -0.502325617
+16.5 0.010976 -0.198177778 -0.313305093
+16.55 0.0008575 -0.211135556 -0.058331173
+16.6 -0.010976 -0.205704722 0.217021605
+16.65 -0.02058 -0.183219167 0.38185216
+16.7 -0.0289835 -0.162829722 0.472260185
+16.75 -0.0365295 -0.143107222 0.667420833
+16.8 -0.04459 -0.100803889 0.921283179
+16.85 -0.0478485 -0.036777222 0.93922716
+16.9 -0.046305 -0.001905556 0.857341204
+16.95 -0.0481915 0.035348056 0.961723302
+17 -0.0447615 0.102328333 0.914402006
+17.05 -0.036358 0.141582778 0.615864969
+17.1 -0.0293265 0.157113056 0.416363889
+17.15 -0.0210945 0.175978056 0.33670108
+17.2 -0.011662 0.191698889 0.244969753
+17.25 -0.002058 0.207133889 0.029641975
+17.3 0.0101185 0.200464444 -0.293667284
+17.35 0.0190365 0.172071667 -0.520110802
+17.4 0.027097 0.143297778 -0.643442593
+17.45 0.033614 0.108140278 -0.747612963
+17.5 0.0382445 0.066980278 -0.81160787
+17.55 0.0403025 0.024772222 -0.831033951
+17.6 0.0406455 -0.016483056 -0.832251389
+17.65 0.038759 -0.0591675 -0.809120062
+17.7 0.034643 -0.09947 -0.738773302
+17.75 0.0286405 -0.135103889 -0.625022222
+17.8 0.0207515 -0.162925 -0.483111265
+17.85 0.012005 -0.182266389 -0.341200309
+17.9 0.002744 -0.201131389 -0.118991358
+17.95 -0.0090895 -0.199321111 0.188597068
+18 -0.018179 -0.177121389 0.40101358
+18.05 -0.026754 -0.153206667 0.508889198
+18.1 -0.0334425 -0.126719444 0.623381327
+18.15 -0.0392735 -0.098707778 0.843420062
+18.2 -0.0451045 -0.040588333 0.997770062
+18.25 -0.0437325 0.022676111 0.778737037
+18.3 -0.0399595 0.038206389 0.537578395
+18.35 -0.040131 0.055546944 0.637249537
+18.4 -0.036358 0.103090556 0.733321296
+18.45 -0.029155 0.142059167 0.603108333
+18.5 -0.021266 0.164354167 0.412711574
+18.55 -0.013034 0.185601111 0.173352623
+18.6 -0.001372 0.182266389 -0.061983488
+18.65 0.0056595 0.169022778 -0.128995525
+18.7 0.0142345 0.173024444 -0.259737809
+18.75 0.0241815 0.153683056 -0.559015895
+18.8 0.03087 0.111093889 -0.755552778
+18.85 0.034986 0.069648056 -0.797051543
+18.9 0.0375585 0.031536944 -0.809702315
+18.95 0.038416 -0.010194722 -0.821717901
+19 0.036701 -0.0540225 -0.770214969
+19.05 0.032585 -0.089846944 -0.667473765
+19.1 0.02744 -0.119478333 -0.57981821
+19.15 0.02058 -0.146823056 -0.499573148
+19.2 0.012691 -0.170928333 -0.376506019
+19.25 0.00343 -0.190365 -0.139264352
+19.3 -0.0073745 -0.18865 0.167635957
+19.35 -0.0162925 -0.168165278 0.378041049
+19.4 -0.02401 -0.1466325 0.491421605
+19.45 -0.0313845 -0.117763333 0.564732562
+19.5 -0.0358435 -0.086416944 0.576430556
+19.55 -0.0392735 -0.066122778 0.688805401
+19.6 -0.043904 -0.020198889 0.843843519
+19.65 -0.04116 0.025343889 0.86581034
+19.7 -0.04116 0.067933056 0.828016821
+19.75 -0.0348145 0.114905 0.651170679
+19.8 -0.0282975 0.135770833 0.430232099
+19.85 -0.020923 0.150348333 0.333842747
+19.9 -0.0135485 0.166355 0.275935031
+19.95 -0.0046305 0.185505833 0.08702037
+20 0.006174 0.18179 -0.221732562
+20.05 0.0145775 0.157113056 -0.427056173
+20.1 0.021609 0.133198333 -0.520375463
+20.15 0.0279545 0.106234722 -0.611048148
+20.2 0.032585 0.072792222 -0.701667901
+20.25 0.0355005 0.033728333 -0.748354012
+20.3 0.0358435 -0.0042875 -0.747560031
+20.35 0.034986 -0.040874167 -0.735862037
+20.4 0.031899 -0.078794722 -0.699762346
+20.45 0.0269255 -0.11319 -0.614171142
+20.5 0.020237 -0.140439444 -0.502802006
+20.55 0.013034 -0.166545556 -0.323150463
+20.6 0.0029155 -0.177978889 -0.052561574
+20.65 -0.005831 -0.168165278 0.155514506
+20.7 -0.01372 -0.157684722 0.273341358
+20.75 -0.0217805 -0.1414875 0.379999537
+20.8 -0.0282975 -0.118335 0.458815432
+20.85 -0.033614 -0.093562778 0.522281019
+20.9 -0.0372155 -0.071934722 0.68398858
+20.95 -0.041846 -0.03087 0.91551358
+21 -0.0416745 0.032966111 0.899422222
+21.05 -0.037044 0.071553611 0.651382407
+21.1 -0.0334425 0.090132778 0.510847685
+21.15 -0.028812 0.117382222 0.457439198
+21.2 -0.021609 0.141296944 0.330296296
+21.25 -0.0138915 0.151205833 0.19166713
+21.3 -0.0063455 0.1569225 0.100676852
+21.35 0.001715 0.161305278 -0.002434877
+21.4 0.0097755 0.162734444 -0.212945833
+21.45 0.0190365 0.143393056 -0.480835185
+21.5 0.0248675 0.108045 -0.629944907
+21.55 0.029498 0.075745833 -0.68070679
+21.6 0.032585 0.0403025 -0.715271451
+21.65 0.033614 0.003525278 -0.727181173
+21.7 0.032928 -0.033251944 -0.71701821
+21.75 0.0303555 -0.070219722 -0.666362191
+21.8 0.0255535 -0.100994444 -0.588340278
+21.85 0.0200655 -0.127291111 -0.520216667
+21.9 0.0132055 -0.157017778 -0.367189969
+21.95 0.0036015 -0.170547222 -0.095965895
+22 -0.004802 -0.164449444 0.139529012
+22.05 -0.013034 -0.151491667 0.279904938
+22.1 -0.0200655 -0.134246389 0.369889506
+22.15 -0.026411 -0.115953056 0.47617716
+22.2 -0.0320705 -0.088798889 0.609777778
+22.25 -0.0358435 -0.051545278 0.677054475
+22.3 -0.037044 -0.016197222 0.65297037
+22.35 -0.037044 0.012290833 0.639949074
+22.4 -0.0361865 0.046305 0.642966204
+22.45 -0.0324135 0.079556944 0.591622068
+22.5 -0.0279545 0.107282778 0.504813426
+22.55 -0.0214375 0.129958889 0.407153704
+22.6 -0.014749 0.146918333 0.310287963
+22.65 -0.0070315 0.1654975 0.125449074
+22.7 0.002744 0.16464 -0.148845062
+22.75 0.01029 0.146156111 -0.343635185
+22.8 0.0173215 0.125004444 -0.436689815
+22.85 0.0228095 0.101851944 -0.502431481
+22.9 0.0276115 0.076031667 -0.582147222
+22.95 0.0306985 0.044018333 -0.662974537
+23 0.032242 0.007431667 -0.695633642
+23.05 0.0313845 -0.028488056 -0.667314969
+23.1 0.029155 -0.059929722 -0.616023765
+23.15 0.025382 -0.089846944 -0.562191821
+23.2 0.0200655 -0.117286944 -0.481311574
+23.25 0.013377 -0.138438611 -0.375394444
+23.3 0.0063455 -0.158446944 -0.195001852
+23.35 -0.0032585 -0.161972222 0.058225309
+23.4 -0.010633 -0.148823889 0.245604938
+23.45 -0.0180075 -0.134436944 0.367189969
+23.5 -0.0245245 -0.111093889 0.45320463
+23.55 -0.029155 -0.086226389 0.483005401
+23.6 -0.032928 -0.0643125 0.540701389
+23.65 -0.036015 -0.033633056 0.626557253
+23.7 -0.0361865 -0.002858333 0.722152623
+23.75 -0.037044 0.040778889 0.75862284
+23.8 -0.0320705 0.082605833 0.613906481
+23.85 -0.0276115 0.103185833 0.437325
+23.9 -0.0217805 0.121574444 0.332254784
+23.95 -0.015435 0.136437778 0.235441975
+24 -0.007889 0.1466325 0.116609414
+24.05 -0.000343 0.14749 -0.005822531
+24.1 0.0066885 0.147966389 -0.169065123
+24.15 0.015092 0.134436944 -0.394026543
+24.2 0.020923 0.105091389 -0.551023148
+24.25 0.0255535 0.074221389 -0.607607562
+24.3 0.0282975 0.043065556 -0.625551543
+24.35 0.029841 0.012290833 -0.644660031
+24.4 0.0296695 -0.021056389 -0.667103241
+24.45 0.027783 -0.0557375 -0.657575463
+24.5 0.02401 -0.0883225 -0.60252608
+24.55 0.0190365 -0.120145278 -0.459397685
+24.6 0.011319 -0.137866944 -0.24565787
+24.65 0.0046305 -0.142154444 -0.072411111
+24.7 -0.0029155 -0.142821389 0.054308333
+24.75 -0.009947 -0.1363425 0.158955093
+24.8 -0.016807 -0.125480833 0.243275926
+24.85 -0.0224665 -0.111856111 0.337124537
+24.9 -0.027783 -0.098707778 0.538531173
+24.95 -0.033957 -0.056976111 0.70616713
+25 -0.0334425 -0.015053889 0.640213735
+25.05 -0.0343 0.007812778 0.543612654
+25.1 -0.032928 0.033728333 0.528103549
+25.15 -0.0310415 0.060120278 0.52333966
+25.2 -0.027097 0.089465833 0.459927006
+25.25 -0.021609 0.109283611 0.333631019
+25.3 -0.015778 0.1209075 0.231313272
+25.35 -0.009604 0.131673889 0.13693534
+25.4 -0.002401 0.136628333 0.011168673
+25.45 0.004459 0.133484167 -0.127725154
+25.5 0.011319 0.121860278 -0.241529167
+25.55 0.016464 0.110236389 -0.372112654
+25.6 0.0228095 0.088227222 -0.553987346
+25.65 0.026068 0.051354722 -0.664033179
+25.7 0.027783 0.015911389 -0.658104784
+25.75 0.02744 -0.015911389 -0.609566049
+25.8 0.026068 -0.044113611 -0.572778241
+25.85 0.022981 -0.071934722 -0.554516667
+25.9 0.018865 -0.098898333 -0.528474074
+25.95 0.0135485 -0.131006944 -0.37931142
+26 0.004802 -0.143869444 -0.10390571
+26.05 -0.0018865 -0.136247222 0.086226389
+26.1 -0.008575 -0.129196667 0.165042284
+26.15 -0.014749 -0.1209075 0.241264506
+26.2 -0.0210945 -0.106044167 0.332360648
+26.25 -0.0255535 -0.085464167 0.400166667
+26.3 -0.029155 -0.070315 0.536043364
+26.35 -0.0337855 -0.033633056 0.686741049
+26.4 -0.0327565 0.0077175 0.663133333
+26.45 -0.032242 0.036205556 0.558221914
+26.5 -0.029155 0.062788056 0.45119321
+26.55 -0.0255535 0.080319167 0.366290123
+26.6 -0.0210945 0.096992778 0.325638272
+26.65 -0.0159495 0.113666389 0.268418673
+26.7 -0.009604 0.126814722 0.160331327
+26.75 -0.002744 0.130149444 0.036470216
+26.8 0.0036015 0.128053333 -0.061348302
+26.85 0.0097755 0.127386389 -0.221044444
+26.9 0.01715 0.110331667 -0.448281944
+26.95 0.021609 0.077556111 -0.581353241
+27 0.024696 0.046209722 -0.596333025
+27.05 0.026068 0.017245278 -0.580347531
+27.1 0.026411 -0.010861667 -0.572672377
+27.15 0.025039 -0.039635556 -0.572037191
+27.2 0.0224665 -0.069076389 -0.546629784
+27.25 0.0180075 -0.095468333 -0.482846605
+27.3 0.013034 -0.121383889 -0.336648148
+27.35 0.005145 -0.132626667 -0.124919753
+27.4 -0.0008575 -0.130244722 0.024242901
+27.45 -0.0077175 -0.127672222 0.114650926
+27.5 -0.014063 -0.117572778 0.17605216
+27.55 -0.0193795 -0.107854444 0.212257716
+27.6 -0.024353 -0.103376389 0.371318673
+27.65 -0.0310415 -0.074697778 0.58839321
+27.7 -0.0324135 -0.034871667 0.635132253
+27.75 -0.0337855 -0.005811944 0.577489198
+27.8 -0.0327565 0.018865 0.570819753
+27.85 -0.032242 0.048686944 0.599508951
+27.9 -0.028126 0.08232 0.554252006
+27.95 -0.0238385 0.110712778 0.380740586
+28 -0.0162925 0.123575278 0.147204167
+28.05 -0.010633 0.119478333 0.014662191
+28.1 -0.004802 0.120526389 -0.035782099
+28.15 0.001372 0.120145278 -0.145192747
+28.2 0.007889 0.107854444 -0.281122377
+28.25 0.0125195 0.087465 -0.340141667
+28.3 0.0162925 0.072315833 -0.376453086
+28.35 0.019894 0.052212222 -0.453945679
+28.4 0.0214375 0.031918056 -0.600091204
+28.45 0.0245245 -0.012386111 -0.655669907
+28.5 0.019551 -0.046114444 -0.488669136
+28.55 0.018522 -0.056023333 -0.384710494
+28.6 0.015092 -0.080890833 -0.338659568
+28.65 0.009947 -0.096230556 -0.209399383
+28.7 0.004459 -0.09604 -0.173723148
+28.75 0.001372 -0.110331667 -0.177957716
+28.8 -0.006517 -0.123765833 -0.015350309
+28.85 -0.012348 -0.11319 0.173035031
+28.9 -0.017836 -0.100803889 0.276729012
+28.95 -0.0224665 -0.083844444 0.347499228
+29 -0.0258965 -0.070696111 0.471942593
+29.05 -0.03087 -0.035538611 0.565473611
+29.1 -0.0293265 -0.002191389 0.461091512
+29.15 -0.029498 0.005716667 0.435207716
+29.2 -0.029841 0.031822778 0.557375
+29.25 -0.0269255 0.067266111 0.576165895
+29.3 -0.0228095 0.098136111 0.432084722
+29.35 -0.0162925 0.112808889 0.221414969
+29.4 -0.0111475 0.116810556 0.065424074
+29.45 -0.0046305 0.118620833 -0.062724537
+29.5 0.001372 0.108235556 -0.143128395
+29.55 0.005831 0.102423611 -0.192778704
+29.6 0.011662 0.093562778 -0.316163426
+29.65 0.0159495 0.070696111 -0.42774429
+29.7 0.018865 0.045638056 -0.455851235
+29.75 0.020237 0.022866667 -0.447593827
+29.8 0.02058 0.008289167 -0.543400926
+29.85 0.022638 -0.031822778 -0.610571759
+29.9 0.0173215 -0.068409444 -0.412446914
+29.95 0.0138915 -0.073078056 -0.215168981
+30 0.009947 -0.075269444 -0.254762191
+30.05 0.0077175 -0.097564444 -0.317380864
+30.1 0.0001715 -0.12005 -0.161707562
+30.15 -0.005831 -0.115095556 0.035358642
+30.2 -0.0111475 -0.1106175 0.14805108
+30.25 -0.0169785 -0.1003275 0.250368827
+30.3 -0.021266 -0.088227222 0.378835031
+30.35 -0.026754 -0.059453333 0.462097222
+30.4 -0.0265825 -0.037825278 0.46532608
+30.45 -0.0303555 -0.019436667 0.553193364
+30.5 -0.030184 0.0248675 0.519740278
+30.55 -0.0258965 0.037825278 0.401437037
+30.6 -0.026411 0.05145 0.484593364
+30.65 -0.022638 0.092895833 0.445317747
+30.7 -0.0156065 0.108521389 0.196801543
+30.75 -0.0108045 0.106234722 0.035887963
+30.8 -0.005488 0.107568611 -0.046791975
+30.85 0.0001715 0.103662222 -0.138893827
+30.9 0.0053165 0.092324167 -0.195054784
+30.95 0.0094325 0.080414444 -0.193308025
+31 0.013034 0.073173333 -0.214163272
+31.05 0.016464 0.067551944 -0.3901625
+31.1 0.020923 0.0403025 -0.658369444
+31.15 0.0217805 -0.010004167 -0.70616713
+31.2 0.018865 -0.042875 -0.509524383
+31.25 0.0166355 -0.058500556 -0.330613889
+31.3 0.013034 -0.0711725 -0.238882562
+31.35 0.009261 -0.078699444 -0.224696759
+31.4 0.0056595 -0.094039167 -0.205164815
+31.45 -0.000343 -0.104710278 -0.088555401
+31.5 -0.005488 -0.1029 0.035517438
+31.55 -0.010633 -0.098517222 0.115391975
+31.6 -0.015435 -0.091371389 0.188014815
+31.65 -0.0200655 -0.078508889 0.24311713
+31.7 -0.022981 -0.068695278 0.328390741
+31.75 -0.02744 -0.048972778 0.465379012
+31.8 -0.028469 -0.0180075 0.526727315
+31.85 -0.028812 0.006669444 0.527891821
+31.9 -0.0279545 0.034585833 0.513282562
+31.95 -0.0252105 0.058976944 0.458550772
+32 -0.022295 0.084320833 0.332731173
+32.05 -0.016121 0.097183333 0.13164213
+32.1 -0.011319 0.088227222 0.081674228
+32.15 -0.0087465 0.100803889 0.103217593
+32.2 -0.0012005 0.110903333 -0.07818071
+32.25 0.0039445 0.093658056 -0.282763272
+32.3 0.007889 0.076603333 -0.389844907
+32.35 0.011662 0.055642222 -0.476230093
+32.4 0.0142345 0.023438333 -0.437272068
+32.45 0.013377 0.003620556 -0.259049691
+32.5 0.0135485 0.002286667 -0.178751698
+32.55 0.01372 -0.002286667 -0.310446759
+32.6 0.014406 -0.025534444 -0.492162654
+32.65 0.0121765 -0.0660275 -0.41991034
+32.7 0.0060025 -0.076031667 -0.186744444
+32.75 0.0039445 -0.073649722 -0.12232608
+32.8 -0.000343 -0.084987778 -0.120102932
+32.85 -0.004802 -0.091466667 -0.042822068
+32.9 -0.0101185 -0.088798889 0.031970988
+32.95 -0.01372 -0.083558611 0.050338426
+33 -0.0176645 -0.089084722 0.16594213
+33.05 -0.023667 -0.074983611 0.414034877
+33.1 -0.0262395 -0.041255278 0.556051698
+33.15 -0.0272685 -0.012576667 0.569337654
+33.2 -0.0272685 0.013053056 0.586222994
+33.25 -0.026754 0.049258611 0.523551389
+33.3 -0.0217805 0.074221389 0.305841667
+33.35 -0.018179 0.077270278 0.131218673
+33.4 -0.0142345 0.081081389 0.073205093
+33.45 -0.009947 0.081748333 0.078021914
+33.5 -0.006517 0.0900375 0.069288117
+33.55 -0.000686 0.093276944 -0.018049846
+33.6 0.00343 0.086035833 -0.078762963
+33.65 0.007546 0.083368056 -0.124019907
+33.7 0.011662 0.0797475 -0.28323966
+33.75 0.0162925 0.060025 -0.522016358
+33.8 0.018522 0.0231525 -0.660169136
+33.85 0.018865 -0.017816944 -0.563726852
+33.9 0.015778 -0.040683611 -0.318810031
+33.95 0.01372 -0.043065556 -0.17779892
+34 0.012005 -0.051164167 -0.175416975
+34.05 0.008918 -0.063645556 -0.157684722
+34.1 0.004802 -0.065074722 -0.179281019
+34.15 0.0029155 -0.075174167 -0.282498611
+34.2 -0.0015435 -0.102995278 -0.203682716
+34.25 -0.0087465 -0.106520556 0.073046296
+34.3 -0.0132055 -0.089751667 0.255026852
+34.35 -0.017493 -0.074126111 0.307535494
+34.4 -0.0207515 -0.055928056 0.302718673
+34.45 -0.022295 -0.0488775 0.384975154
+34.5 -0.026411 -0.026773056 0.610571759
+34.55 -0.0265825 0.022199722 0.65069429
+34.6 -0.022981 0.051831111 0.435684105
+34.65 -0.0204085 0.061930556 0.251109877
+34.7 -0.0173215 0.07546 0.1029
+34.75 -0.0118335 0.071077222 0.011168673
+34.8 -0.0101185 0.065932222 0.114545062
+34.85 -0.006517 0.082796389 0.20881713
+34.9 -0.0015435 0.095087222 0.138682099
+34.95 0.003087 0.1037575 -0.08876713
+35 0.0097755 0.090895 -0.403977778
+35.05 0.0132055 0.057166667 -0.583311728
+35.1 0.0156065 0.020770556 -0.523286728
+35.15 0.0145775 -0.002096111 -0.320874383
+35.2 0.014406 -0.006193056 -0.203259259
+35.25 0.0142345 -0.013529444 -0.248833796
+35.3 0.01372 -0.031918056 -0.296049228
+35.35 0.0108045 -0.047734167 -0.262119753
+35.4 0.0087465 -0.058691111 -0.210140432
+35.45 0.0049735 -0.069648056 -0.148739198
+35.5 0.001029 -0.068695278 -0.163613117
+35.55 -0.0008575 -0.084225556 -0.188279475
+35.6 -0.007203 -0.100136944 0.009157253
+35.65 -0.0125195 -0.086702778 0.265719136
+35.7 -0.0162925 -0.063455 0.349351852
+35.75 -0.0183505 -0.046590833 0.325426543
+35.8 -0.0207515 -0.0334425 0.32558534
+35.85 -0.021952 -0.016483056 0.366025463
+35.9 -0.022638 0.004859167 0.381481636
+35.95 -0.021266 0.023438333 0.362320216
+36 -0.020237 0.040588333 0.342947068
+36.05 -0.0173215 0.058691111 0.306053395
+36.1 -0.014063 0.071648889 0.25852037
+36.15 -0.0101185 0.0831775 0.221362037
+36.2 -0.0060025 0.096992778 0.12031466
+36.25 0.0001715 0.099184167 -0.054837654
+36.3 0.004459 0.089465833 -0.198971759
+36.35 0.0090895 0.077746667 -0.309282253
+36.4 0.012691 0.056976111 -0.383228395
+36.45 0.0145775 0.038015833 -0.418375309
+36.5 0.0166355 0.016197222 -0.445053086
+36.55 0.016807 -0.013243611 -0.34929892
+36.6 0.0142345 -0.023628889 -0.188014815
+36.65 0.0135485 -0.020198889 -0.232371914
+36.7 0.0135485 -0.038682778 -0.410012037
+36.75 0.010633 -0.073173333 -0.382169753
+36.8 0.0049735 -0.086798056 -0.167688889
+36.85 0.0012005 -0.084987778 -0.015826698
+36.9 -0.0032585 -0.084130278 0.057854784
+36.95 -0.0073745 -0.079366389 0.115339043
+37 -0.011319 -0.072601667 0.170653086
+37.05 -0.014749 -0.062216389 0.228031481
+37.1 -0.017493 -0.051259444 0.302030556
+37.15 -0.0204085 -0.030774722 0.341147377
+37.2 -0.02058 -0.011528611 0.2872625
+37.25 -0.020923 -0.001905556 0.241952623
+37.3 -0.0204085 0.002953611 0.353268827
+37.35 -0.0221235 0.032394444 0.471466204
+37.4 -0.0173215 0.064407778 0.339347685
+37.45 -0.014063 0.0686 0.14879213
+37.5 -0.010633 0.072506389 0.061507099
+37.55 -0.00686 0.074411944 -0.003811111
+37.6 -0.0029155 0.071839444 -0.048697531
+37.65 0.000343 0.068504722 -0.07616929
+37.7 0.0039445 0.063836111 -0.094960185
+37.75 0.0066885 0.060120278 -0.134712191
+37.8 0.01029 0.050306667 -0.192249383
+37.85 0.011319 0.043541944 -0.295678704
+37.9 0.0152635 0.026010833 -0.473795216
+37.95 0.0152635 -0.014863333 -0.459979938
+38 0.0118335 -0.024772222 -0.338765432
+38.05 0.013377 -0.041826944 -0.303724383
+38.1 0.008232 -0.064503056 -0.123278858
+38.15 0.004802 -0.052021667 -0.000105864
+38.2 0.003773 -0.051640556 -0.094430864
+38.25 0.0005145 -0.064407778 -0.151279938
+38.3 -0.003087 -0.072982778 -0.094695525
+38.35 -0.0070315 -0.074888333 0.005663735
+38.4 -0.0104615 -0.076126944 0.16821821
+38.45 -0.0159495 -0.054689444 0.272547377
+38.5 -0.0152635 -0.042303333 0.266936574
+38.55 -0.0197225 -0.035443333 0.370683488
+38.6 -0.020237 -0.005145 0.458286111
+38.65 -0.019894 0.019436667 0.391009414
+38.7 -0.0176645 0.0343 0.301554167
+38.75 -0.016464 0.046495556 0.251797994
+38.8 -0.0132055 0.060691944 0.185844599
+38.85 -0.009947 0.066313333 0.101206173
+38.9 -0.006517 0.069933889 0.031865123
+38.95 -0.002744 0.068695278 -0.022019753
+39 0.000343 0.066694444 -0.053990741
+39.05 0.0039445 0.064407778 -0.111475
+39.1 0.0070315 0.055928056 -0.184785957
+39.15 0.009261 0.049735 -0.311558333
+39.2 0.0132055 0.023057222 -0.390374228
+39.25 0.0114905 -0.000952778 -0.274876389
+39.3 0.011662 -0.002191389 -0.202359414
+39.35 0.0114905 -0.0077175 -0.341359105
+39.4 0.0125195 -0.039254444 -0.418798765
+39.45 0.0073745 -0.066694444 -0.204370833
+39.5 0.0039445 -0.060596667 0.024242901
+39.55 0.001029 -0.048782222 -0.01413287
+39.6 0.0001715 -0.054784722 -0.182033488
+39.65 -0.00343 -0.078699444 -0.147415895
+39.7 -0.008918 -0.080986111 0.100729784
+39.75 -0.0125195 -0.063931389 0.28170463
+39.8 -0.0152635 -0.044685278 0.315210648
+39.85 -0.0166355 -0.030679444 0.300918981
+39.9 -0.018179 -0.018483889 0.335801235
+39.95 -0.0190365 0.001905556 0.377247068
+40 -0.0183505 0.027344722 0.290385494
+40.05 -0.0149205 0.031155833 0.195478241
+40.1 -0.015435 0.036396111 0.266460185
+40.15 -0.012691 0.064121944 0.239676543
+40.2 -0.0073745 0.065265278 0.123914043
+40.25 -0.006517 0.071077222 0.071511265
+40.3 -0.000686 0.079175833 -0.09458966
+40.35 0.002744 0.063264444 -0.257038272
+40.4 0.0060025 0.042493889 -0.219721142
+40.45 0.0063455 0.032489722 -0.036999537
+40.5 0.0077175 0.048496389 -0.027365895
+40.55 0.012348 0.04459 -0.287474228
+40.6 0.0135485 0.0145775 -0.467760957
+40.65 0.013377 -0.0111475 -0.465802469
+40.7 0.012691 -0.038778056 -0.318386574
+40.75 0.0084035 -0.046019167 -0.120208796
+40.8 0.007203 -0.037920556 -0.141805093
+40.85 0.0063455 -0.057166667 -0.219774074
+40.9 0.0012005 -0.071458333 -0.11121034
+40.95 -0.0018865 -0.068028333 0.006404784
+41 -0.0053165 -0.066503889 0.062459877
+41.05 -0.008575 -0.062692778 0.124443364
+41.1 -0.0118335 -0.054403611 0.188438272
+41.15 -0.014063 -0.043923056 0.253333025
+41.2 -0.016464 -0.028678611 0.307747222
+41.25 -0.0169785 -0.011242778 0.316375154
+41.3 -0.017493 0.003620556 0.29710787
+41.35 -0.0169785 0.023057222 0.20177716
+41.4 -0.014063 0.023438333 0.120367593
+41.45 -0.014749 0.025820278 0.195742901
+41.5 -0.0125195 0.044971111 0.23882963
+41.55 -0.0097755 0.056499722 0.165254012
+41.6 -0.006517 0.061835278 0.070664352
+41.65 -0.00343 0.061644722 0.006881173
+41.7 -0.000343 0.061644722 -0.040387191
+41.75 0.0029155 0.056690278 -0.07818071
+41.8 0.004802 0.058500556 -0.182298148
+41.85 0.0101185 0.038396944 -0.279534414
+41.9 0.008575 0.019150833 -0.202200617
+41.95 0.01029 0.025629722 -0.247986883
+42 0.012691 0.005811944 -0.461144444
+42.05 0.0121765 -0.0343 -0.436160494
+42.1 0.0077175 -0.049735 -0.200771451
+42.15 0.006174 -0.045638056 -0.094801389
+42.2 0.0039445 -0.052212222 -0.113645216
+42.25 0.001029 -0.059643889 -0.101470833
+42.3 -0.002058 -0.066503889 -0.01741466
+42.35 -0.006174 -0.062502222 0.09030216
+42.4 -0.008575 -0.053165 0.125237346
+42.45 -0.0111475 -0.048401111 0.132065586
+42.5 -0.013377 -0.043446667 0.192725772
+42.55 -0.0159495 -0.030298333 0.269265586
+42.6 -0.0166355 -0.0128625 0.281334105
+42.65 -0.0169785 0.000571667 0.243646451
+42.7 -0.0162925 0.009337222 0.237400463
+42.75 -0.0162925 0.021818611 0.271012346
+42.8 -0.014406 0.038968611 0.264713426
+42.85 -0.012005 0.050306667 0.217286265
+42.9 -0.009261 0.059072222 0.175628704
+42.95 -0.006517 0.071458333 0.06987037
+43 -0.001372 0.070600833 -0.101682562
+43.05 0.0015435 0.052688611 -0.136353086
+43.1 0.0025725 0.053831944 -0.11904429
+43.15 0.0070315 0.051926389 -0.267254167
+43.2 0.0094325 0.0231525 -0.339030093
+43.25 0.008575 0.006383611 -0.208552469
+43.3 0.009261 0.004573333 -0.108669599
+43.35 0.009261 9.53E-05 -0.097659722
+43.4 0.008918 0.001143333 -0.212892901
+43.45 0.010633 -0.021056389 -0.33468966
+43.5 0.006517 -0.039445 -0.318651235
+43.55 0.006517 -0.054403611 -0.252909568
+43.6 0.0012005 -0.069076389 -0.102264815
+43.65 -0.0015435 -0.062692778 0.013233025
+43.7 -0.0046305 -0.062502222 0.038534568
+43.75 -0.0077175 -0.061358889 0.095066049
+43.8 -0.0111475 -0.053927222 0.153185494
+43.85 -0.013377 -0.042493889 0.155885031
+43.9 -0.015092 -0.035729167 0.133018364
+43.95 -0.0162925 -0.037063056 0.24740463
+44 -0.019894 -0.018579167 0.471413272
+44.05 -0.019551 0.0231525 0.458127315
+44.1 -0.016121 0.040111944 0.213528086
+44.15 -0.014406 0.036586667 0.087920216
+44.2 -0.013034 0.039730833 0.122590741
+44.25 -0.010976 0.05145 0.133018364
+44.3 -0.007546 0.058214722 0.058913426
+44.35 -0.0046305 0.0557375 -0.001058642
+44.4 -0.0022295 0.0557375 -0.027048302
+44.45 0.0008575 0.056023333 -0.097977315
+44.5 0.0039445 0.046400278 -0.174675926
+44.55 0.005488 0.035633889 -0.200400926
+44.6 0.0073745 0.026201389 -0.210881481
+44.65 0.0084035 0.013434167 -0.204900154
+44.7 0.0084035 0.004573333 -0.192143519
+44.75 0.0084035 0.001715 -0.294884722
+44.8 0.0101185 -0.026010833 -0.366819444
+44.85 0.005488 -0.048115278 -0.215857099
+44.9 0.003773 -0.044685278 -0.101788426
+44.95 0.001715 -0.0505925 -0.108722531
+45 -0.001029 -0.058976944 -0.071034877
+45.05 -0.0046305 -0.060310833 0.00227608
+45.1 -0.0073745 -0.056499722 0.052138117
+45.15 -0.0101185 -0.053069722 0.082415278
+45.2 -0.0121765 -0.055451667 0.223902778
+45.25 -0.01715 -0.032489722 0.377511728
+45.3 -0.015778 -0.003525278 0.280645988
+45.35 -0.0159495 -0.001429167 0.129101389
+45.4 -0.0159495 0.000762222 0.126243056
+45.45 -0.0159495 0.003906389 0.254444599
+45.5 -0.016807 0.029155 0.333842747
+45.55 -0.012691 0.048686944 0.209346451
+45.6 -0.0108045 0.048591667 0.09406034
+45.65 -0.008232 0.052974444 0.057907716
+45.7 -0.005488 0.055451667 0.012333179
+45.75 -0.0025725 0.0557375 -0.054149537
+45.8 0.000343 0.050497222 -0.127037037
+45.85 0.002744 0.0403025 -0.151544599
+45.9 0.004116 0.033728333 -0.148845062
+45.95 0.0060025 0.028392778 -0.19420787
+46 0.0073745 0.015625556 -0.259790741
+46.05 0.0077175 -0.000381111 -0.273235494
+46.1 0.007203 -0.014101111 -0.23708287
+46.15 0.006174 -0.0248675 -0.182668673
+46.2 0.004459 -0.030774722 -0.154773457
+46.25 0.0032585 -0.038778056 -0.154879321
+46.3 0.000686 -0.047924722 -0.132541975
+46.35 -0.0018865 -0.0523075 -0.095224846
+46.4 -0.004459 -0.056213889 -0.058225309
+46.45 -0.0070315 -0.065360556 0.099141821
+46.5 -0.0125195 -0.047829444 0.270006636
+46.55 -0.012005 -0.026391944 0.22951358
+46.6 -0.014063 -0.022676111 0.137623457
+46.65 -0.014406 -0.017626389 0.115868364
+46.7 -0.0159495 -0.012671944 0.131959722
+46.75 -0.0159495 -0.002000833 0.128307407
+46.8 -0.015435 -0.002477222 0.181557099
+46.85 -0.016807 0.009908889 0.335907099
+46.9 -0.015092 0.033918889 0.418375309
+46.95 -0.01372 0.062216389 0.29885463
+47 -0.007889 0.071744167 0.028530401
+47.05 -0.0053165 0.057643056 -0.117244599
+47.1 -0.002744 0.051831111 -0.113010031
+47.15 -0.000343 0.048686944 -0.137358796
+47.2 0.0022295 0.042684444 -0.230360494
+47.25 0.004459 0.0265825 -0.317169136
+47.3 0.0056595 1.24E-16 -0.207599691
+47.35 0.003087 -0.0025725 0.03027716
+47.4 0.0039445 0.018865 -0.008733796
+47.45 0.00686 0.008860833 -0.266513117
+47.5 0.005831 -0.019436667 -0.340512191
+47.55 0.0039445 -0.033728333 -0.260372994
+47.6 0.002058 -0.041541111 -0.217339198
+47.65 0 -0.050973611 -0.226919907
+47.7 -0.0022295 -0.071363056 -0.112586574
+47.75 -0.008232 -0.071363056 0.145457407
+47.8 -0.0108045 -0.046590833 0.226284722
+47.85 -0.0118335 -0.03773 0.11676821
+47.9 -0.01372 -0.042398611 0.115815432
+47.95 -0.0169785 -0.033251944 0.229989969
+48 -0.0176645 -0.013243611 0.248780864
+48.05 -0.0176645 -0.003239444 0.181027778
+48.1 -0.0176645 0.001524444 0.16318966
+48.15 -0.0176645 0.008193889 0.226602315
+48.2 -0.017493 0.026201389 0.256667747
+48.25 -0.014749 0.039254444 0.188491204
+48.3 -0.0132055 0.045066389 0.11703287
+48.35 -0.0101185 0.048591667 0.085538272
+48.4 -0.008232 0.049830278 0.109622377
+48.45 -0.0060025 0.063931389 0.054149537
+48.5 -0.001029 0.063264444 -0.13619429
+48.55 0.001372 0.043923056 -0.221785494
+48.6 0.0025725 0.035633889 -0.208446605
+48.65 0.0049735 0.026106111 -0.226178858
+48.7 0.005488 0.012767222 -0.234224537
+48.75 0.006174 0.000571667 -0.214533796
+48.8 0.0053165 -0.008003333 -0.212681173
+48.85 0.0053165 -0.016959444 -0.268206944
+48.9 0.004116 -0.034395278 -0.306794444
+48.95 0.002401 -0.0574525 -0.172929167
+49 -0.0029155 -0.058405278 0.064788889
+49.05 -0.004802 -0.036015 0.053567284
+49.1 -0.004459 -0.046019167 -0.080933179
+49.15 -0.009261 -0.058405278 0.012439043
+49.2 -0.0118335 -0.046590833 0.153238426
+49.25 -0.0135485 -0.037063056 0.202994599
+49.3 -0.015435 -0.027725833 0.247722222
+49.35 -0.01715 -0.007145833 0.19595463
+49.4 -0.015092 -0.004192222 0.095542438
+49.45 -0.0169785 -0.008956111 0.183515586
+49.5 -0.017493 0.010004167 0.336330556
+49.55 -0.016464 0.038015833 0.269371451
+49.6 -0.012005 0.039349722 0.135559105
+49.65 -0.013034 0.044875833 0.099194753
+49.7 -0.007889 0.055070556 -0.012280247
+49.75 -0.005831 0.038111111 -0.023819444
+49.8 -0.0056595 0.046781389 0.05372608
+49.85 -0.0012005 0.054498889 -0.050126698
+49.9 0.001029 0.042208056 -0.162448611
+49.95 0.002744 0.032680278 -0.186691512
+50 0.0042875 0.022295 -0.18033966
+50.05 0.004802 0.015530278 -0.189496914
+50.1 0.005831 0.00686 -0.252856636
+50.15 0.0060025 -0.009718333 -0.300177932
+50.2 0.0053165 -0.032775556 -0.183991975
+50.25 0.0012005 -0.0300125 -0.036734877
+50.3 0.0022295 -0.024676944 -0.09104321
+50.35 -0.0001715 -0.038396944 -0.154773457
+50.4 -0.0018865 -0.046114444 -0.10946358
+50.45 -0.004459 -0.058119444 0.082362346
+50.5 -0.0097755 -0.034109444 0.201830093
+50.55 -0.007203 -0.021246944 0.028318673
+50.6 -0.01029 -0.035919722 -0.073734414
+50.65 -0.011662 -0.037539444 -0.01159213
+50.7 -0.0138915 -0.040588333 0.138629167
+50.75 -0.0166355 -0.024772222 0.313675617
+50.8 -0.0166355 -0.002381944 0.35056929
+50.85 -0.016464 0.012767222 0.318968827
+50.9 -0.015778 0.033918889 0.196166358
+50.95 -0.0118335 0.032108611 0.074793056
+51 -0.013034 0.036205556 0.058278241
+51.05 -0.0080605 0.038492222 0.047797685
+51.1 -0.0087465 0.034490556 0.13592963
+51.15 -0.0063455 0.058500556 0.092684105
+51.2 -0.0015435 0.056213889 -0.156573148
+51.25 0.000343 0.036681944 -0.29356142
+51.3 0.0022295 0.012957778 -0.189073457
+51.35 0 0.017626389 -0.068070679
+51.4 0.0042875 0.0180075 -0.153979475
+51.45 0.0025725 0.0042875 -0.280857716
+51.5 0.0049735 -0.0145775 -0.323679784
+51.55 0.001372 -0.037825278 -0.182562809
+51.6 -0.000343 -0.032966111 -0.027895216
+51.65 -0.0015435 -0.033061389 -0.006510648
+51.7 -0.0036015 -0.033061389 -0.00529321
+51.75 -0.004802 -0.033347222 -0.022654938
+51.8 -0.0066885 -0.038873333 0.012491975
+51.85 -0.0097755 -0.027058889 -0.025619136
+51.9 -0.007889 -0.039445 -0.084109105
+51.95 -0.0138915 -0.04802 0.072728704
+52 -0.0142345 -0.0300125 0.200824383
+52.05 -0.016121 -0.022676111 0.241529167
+52.1 -0.0169785 -0.0060025 0.26910679
+52.15 -0.016464 0.0060025 0.2529625
+52.2 -0.0162925 0.01715 0.2529625
+52.25 -0.015435 0.036777222 0.148845062
+52.3 -0.011662 0.0385875 -0.050708951
+52.35 -0.0104615 0.021913889 -0.074052006
+52.4 -0.0104615 0.021246944 0.075745833
+52.45 -0.009261 0.036205556 0.121902623
+52.5 -0.006174 0.041636389 0.021384568
+52.55 -0.004459 0.035348056 -0.05017963
+52.6 -0.003087 0.034204722 -0.083368056
+52.65 -0.0008575 0.029250278 -0.142916667
+52.7 0.0001715 0.018674444 -0.176687346
+52.75 0.0008575 0.009908889 -0.178487037
+52.8 0.0012005 0.000476389 -0.166100926
+52.85 0.0008575 -0.007431667 -0.137676389
+52.9 0.000343 -0.013243611 -0.109622377
+52.95 -0.0005145 -0.017912222 -0.086120525
+53 -0.001372 -0.022199722 -0.067276698
+53.05 -0.0029155 -0.025058056 -0.05017963
+53.1 -0.0042875 -0.021056389 -0.129154321
+53.15 -0.0036015 -0.040778889 -0.152497377
+53.2 -0.009261 -0.045256944 -0.008204475
+53.25 -0.008575 -0.039730833 0.116609414
+53.3 -0.013034 -0.034871667 0.249098457
+53.35 -0.013377 -0.007812778 0.240735185
+53.4 -0.0125195 -0.003525278 0.103005864
+53.45 -0.013377 -0.004859167 0.085697068
+53.5 -0.0135485 0.001333889 0.135664969
+53.55 -0.013377 0.010480556 0.167583025
+53.6 -0.0125195 0.020770556 0.151703395
+53.65 -0.010976 0.025439167 0.132806636
+53.7 -0.0101185 0.032299167 0.138735031
+53.75 -0.007889 0.040683611 0.123384722
+53.8 -0.005831 0.046019167 0.082044753
+53.85 -0.003087 0.047257778 0.053302623
+53.9 -0.0015435 0.053927222 -0.027207099
+53.95 0.0029155 0.049068056 -0.188279475
+54 0.0039445 0.031918056 -0.291867593
+54.05 0.005831 0.017721667 -0.335748302
+54.1 0.0063455 -0.006193056 -0.279269753
+54.15 0.004459 -0.015625556 -0.126984105
+54.2 0.004116 -0.013338889 -0.071405401
+54.25 0.0036015 -0.017721667 -0.108404938
+54.3 0.0025725 -0.026010833 -0.126454784
+54.35 0.0008575 -0.032489722 -0.111686728
+54.4 -0.0008575 -0.036681944 -0.092895833
+54.45 -0.002744 -0.0403025 -0.088079012
+54.5 -0.004459 -0.0505925 0.00529321
+54.55 -0.008918 -0.040874167 0.121002778
+54.6 -0.008232 -0.034204722 0.149956636
+54.65 -0.0125195 -0.025248611 0.147310031
+54.7 -0.0111475 -0.011528611 0.01513858
+54.75 -0.0118335 -0.028202222 -0.02445463
+54.8 -0.0149205 -0.027535278 0.170335494
+54.85 -0.015778 -0.007050556 0.30668858
+54.9 -0.0152635 0.011242778 0.298537037
+54.95 -0.0142345 0.022676111 0.249204321
+55 -0.0135485 0.038873333 0.143869444
+55.05 -0.009604 0.042398611 -0.036999537
+55.1 -0.0080605 0.02401 -0.025195679
+55.15 -0.0090895 0.036110278 0.064365432
+55.2 -0.003773 0.038111111 0.033876543
+55.25 -0.0049735 0.036205556 0.039804938
+55.3 -0.001029 0.046400278 -0.041234105
+55.35 0.0008575 0.035348056 -0.169170988
+55.4 0.0025725 0.023343056 -0.193519753
+55.45 0.0029155 0.013910556 -0.177163735
+55.5 0.003773 0.008003333 -0.185897531
+55.55 0.004116 -0.004001667 -0.201141975
+55.6 0.00343 -0.016387778 -0.146145525
+55.65 0.0018865 -0.018865 -0.088131944
+55.7 0.0015435 -0.020865833 -0.102211883
+55.75 0.0001715 -0.028773889 -0.122643673
+55.8 -0.001372 -0.036015 -0.092207716
+55.85 -0.0036015 -0.039921389 -0.022125617
+55.9 -0.0056595 -0.037634722 0.041975154
+55.95 -0.0073745 -0.034204722 0.078498302
+56 -0.0090895 -0.029821944 0.111051543
+56.05 -0.0104615 -0.023247778 0.140375926
+56.1 -0.0114905 -0.015053889 0.150591821
+56.15 -0.012005 -0.006383611 0.122643673
+56.2 -0.012005 -0.001333889 0.078127778
+56.25 -0.0118335 -0.000381111 0.079874537
+56.3 -0.0118335 -0.001143333 0.207123302
+56.35 -0.013377 0.021628056 0.299542747
+56.4 -0.009604 0.042970278 0.146251389
+56.45 -0.0073745 0.035443333 -0.007622222
+56.5 -0.006517 0.033347222 -0.022972531
+56.55 -0.004459 0.035062222 -0.048274074
+56.6 -0.0025725 0.031441667 -0.101576698
+56.65 -0.000686 0.018293333 -0.05976034
+56.7 -0.002058 0.024676944 -0.011697994
+56.75 0.0018865 0.029536111 -0.166736111
+56.8 0.002744 0.003239444 -0.248675
+56.85 0.0008575 -0.0025725 -0.201671296
+56.9 0.002744 -0.013148333 -0.183409722
+56.95 0 -0.026868333 -0.057590123
+57 -0.001029 -0.021628056 0.086808642
+57.05 -0.002744 -0.007336389 0.029165586
+57.1 -0.0008575 -0.009813611 -0.18108071
+57.15 -0.0025725 -0.032108611 -0.270800617
+57.2 -0.0042875 -0.051259444 -0.104964352
+57.25 -0.0094325 -0.040969444 0.060183796
+57.3 -0.007889 -0.0351575 0.065635802
+57.35 -0.0121765 -0.040493056 0.156679012
+57.4 -0.013377 -0.021246944 0.262013889
+57.45 -0.0138915 -0.008289167 0.251745062
+57.5 -0.014406 0.007526944 0.162131019
+57.55 -0.012691 0.012767222 -0.004499228
+57.6 -0.012005 -0.000762222 -0.015297377
+57.65 -0.0135485 0.000381111 0.162925
+57.7 -0.013034 0.019246111 0.279640278
+57.75 -0.011662 0.040493056 0.184891821
+57.8 -0.007546 0.037539444 0.067170833
+57.85 -0.0084035 0.040207222 0.05372608
+57.9 -0.0039445 0.047924722 -0.034247068
+57.95 -0.0025725 0.037825278 -0.127989815
+58 -0.000343 0.030488889 -0.1414875
+58.05 0.0005145 0.0214375 -0.111263272
+58.1 0.001372 0.020389444 -0.095542438
+58.15 0.002744 0.015625556 -0.146727778
+58.2 0.0032585 0.005145 -0.188226543
+58.25 0.0032585 -0.005811944 -0.181715895
+58.3 0.0025725 -0.014672778 -0.142281481
+58.35 0.0015435 -0.019246111 -0.112110185
+58.4 0.000686 -0.023724167 -0.11549784
+58.45 -0.0005145 -0.032966111 -0.082785802
+58.5 -0.003087 -0.033728333 -0.020484722
+58.55 -0.0039445 -0.033061389 0.011962654
+58.6 -0.0063455 -0.032203889 0.04059892
+58.65 -0.007203 -0.029821944 0.079133488
+58.7 -0.0094325 -0.025343889 0.130530556
+58.75 -0.0101185 -0.014196389 0.13518858
+58.8 -0.0104615 -0.009623056 0.101312037
+58.85 -0.010976 -0.006478889 0.105334877
+58.9 -0.011319 -0.000381111 0.131218673
+58.95 -0.0111475 0.008193889 0.135347377
+59 -0.01029 0.013910556 0.122167284
+59.05 -0.0097755 0.019341389 0.119944136
+59.1 -0.008575 0.027916389 0.08273287
+59.15 -0.006517 0.028202222 0.03631142
+59.2 -0.005831 0.029440833 0.025354475
+59.25 -0.0036015 0.030774722 0.011803858
+59.3 -0.002744 0.031251111 -0.013550617
+59.35 -0.0005145 0.031822778 -0.079080556
+59.4 0.001029 0.022009167 -0.123225926
+59.45 0.001372 0.016673611 -0.119361883
+59.5 0.0025725 0.012576667 -0.149109722
+59.55 0.003087 0.001333889 -0.163666049
+59.6 0.0025725 -0.007241111 -0.120791049
+59.65 0.002058 -0.010766389 -0.078392438
+59.7 0.001372 -0.011909722 -0.089190586
+59.75 0.0012005 -0.018388611 -0.124729198
+59.8 -0.000343 -0.027344722 -0.109950556
+59.85 -0.0018865 -0.030298333 -0.072072346
+59.9 -0.0032585 -0.034242833 -0.036046759
+59.95 -0.005488 -0.034490556 0.009586003
+60 -0.00686 -0.031251111 0.04130821
diff --git a/fiz/vaje/4/preseki.py b/fiz/vaje/4/preseki.py
new file mode 100755
index 0000000..7a35c66
--- /dev/null
+++ b/fiz/vaje/4/preseki.py
@@ -0,0 +1,25 @@
+#!/usr/bin/python3
+from sys import stderr
+from math import log
+import numpy
+import csv
+t = []
+x = []
+v = []
+with open("nihanje.tsv") as file:
+ tsv = csv.reader(file, delimiter="\t")
+ i = -1
+ for line in tsv:
+ if i == -1:
+ i = i + 1
+ continue
+ t.append(float(line[0]))
+ x.append(float(line[1]))
+ v.append(float(line[2]))
+ i = i + 1
+zero_crossings_x = numpy.where(numpy.diff(numpy.sign(x)))[0]
+zero_crossings_v = numpy.where(numpy.diff(numpy.sign(v)))[0]
+print("v\tx\tt\tabsx\tln")
+for i in range(len(zero_crossings_x)-1):
+ print(f"{v[zero_crossings_x[i]]}\t{x[zero_crossings_v[i]]}\t{t[zero_crossings_v[i]]}\t{abs(x[zero_crossings_v[i]])}\t{log(abs(x[zero_crossings_v[i]])/0.0943867)}")
+print(f"za {len(zero_crossings_x/2)} nihajev je preteklo {t[zero_crossings_x[len(zero_crossings_x)-1]]-t[zero_crossings_x[0]]} sekund, zato je nihajni čas {(t[zero_crossings_x[len(zero_crossings_x)-1]]-t[zero_crossings_x[0]])/(len(zero_crossings_x)/2)}", file=stderr)