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{"sheet":"Beispiele Risiko","index":0,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[]}
["Beispiel 1"]
[]
["Investition 1",null,null,"Investition 2"]
["Wahrscheinlichkeit","Gewinn in %",null,"Wahrscheinlichkeit","Gewinn in %"]
[0.05,-3,null,0.05,-20]
[0.04,-1,null,0.04,-14.5]
[0.32,0,null,0.32,0]
[0.4,5,null,0.4,8]
[0.19,16,null,0.19,17]
[]
[]
[]
[]
["Beispiel 2"]
[]
["Investition 1",null,null,"Investition 2"]
["Wahrscheinlichkeit","Gewinn in %",null,"Wahrscheinlichkeit","Gewinn in %"]
[0.06,-4,null,0.1,-3]
[0.15,-2,null,0.3,-2.2999999999999998]
[0.2,-1,null,0.12,1.5]
[0.12,1,null,0.44,3.8]
[0.4,5,null,0.04,7]
[7.0000000000000007E-2,10]

{"sheet":"LösUebung 11","index":1,"n_rows":35,"n_cols":10,"rows_kept":35,"cut":false,"hidden":false,"merged":[]}
["Lösung Uebung 11"]
["mögliche Wertekombinationen der Zuvallsvariablen Xi",null,null,null,"(32 Möglichkeiten).","Produktverteilung auf X(B(Xi)",null,"Häufigkeitsauszählung:",null,"Verteilung der Summe mit P(T=t) ausgedrückt."]
["X1","X2","X3","X4","X5","w(Xl1,X2,X3,X4,X5)((x1,x2,x3,x4,x5))=  (wegen Unabhängigkeit der Zufallsvariablen, wegen Gleichverteilung auf S und bijektiven Zufallsvariablen)","Summe:","Mögliche Summen t (=B(T))","Häufigkeiten","P(T=t)"]
[0,0,0,0,0,{"$f":"(1/2)^5","v":3.125E-2},{"$f":"SUM(A4:E4)","v":0},0,{"$f":"FREQUENCY(G4:G35,H4:H9)","v":1},{"$f":"I4*$F$4","v":3.125E-2}]
[0,0,0,0,2,{"$f":"(1/2)^5","v":3.125E-2},2,2,5,0.15625]
[0,0,0,2,0,3.125E-2,2,4,10,0.3125]
[0,0,0,2,2,3.125E-2,4,6,10,0.3125]
[0,0,2,0,0,3.125E-2,2,8,5,0.15625]
[0,0,2,0,2,3.125E-2,4,10,1,3.125E-2]
[0,0,2,2,0,3.125E-2,4,null,"Summe:",{"$f":"SUM(J4:J9)","v":1}]
[0,0,2,2,2,3.125E-2,6]
[0,2,0,0,0,3.125E-2,2]
[0,2,0,0,2,3.125E-2,4]
[0,2,0,2,0,3.125E-2,4]
[0,2,0,2,2,3.125E-2,6]
[0,2,2,0,0,3.125E-2,4]
[0,2,2,0,2,3.125E-2,6]
[0,2,2,2,0,3.125E-2,6]
[0,2,2,2,2,3.125E-2,8]
[2,0,0,0,0,3.125E-2,2]
[2,0,0,0,2,3.125E-2,4]
[2,0,0,2,0,3.125E-2,4]
[2,0,0,2,2,3.125E-2,6]
[2,0,2,0,0,3.125E-2,4]
[2,0,2,0,2,3.125E-2,6]
[2,0,2,2,0,3.125E-2,6]
[2,0,2,2,2,3.125E-2,8]
[2,2,0,0,0,3.125E-2,4]
[2,2,0,0,2,3.125E-2,6]
[2,2,0,2,0,3.125E-2,6]
[2,2,0,2,2,3.125E-2,8]
[2,2,2,0,0,3.125E-2,6]
[2,2,2,0,2,3.125E-2,8]
[2,2,2,2,0,3.125E-2,8]
[2,2,2,2,2,3.125E-2,10]

{"sheet":"LösUebung 12","index":2,"n_rows":67,"n_cols":11,"rows_kept":67,"cut":false,"hidden":false,"merged":[]}
["Lösung Uebung 12"]
["mögliche Wertekombinationen der Zuvallsvariablen Xi",null,null,null,"(64 Möglichkeiten)."]
["X1","X2","X3","X4","X5","X6","w(Xl1,X2,X3,X4,X5,X6)((x1,x2,x3,x4,x5,x6))=  (wegen Unabhängigkeit der Zufallsvariablen, wegen Gleichverteilung auf S und bijektiven Zufallsvariablen)","Varianzen","Bild von S^2 (mögliche Varianzen)","Häufigkeiten der Varianzen","Werte der Wahrscheinlichkeitsfunktions von S^2"]
[0,0,0,0,0,0,{"$f":"0.5^6","v":1.5625E-2},{"$f":"VAR(A4:F4)","v":0},0,{"$f":"FREQUENCY(H4:H67,I4:I7)","v":2},{"$f":"J4*$G$4","v":3.125E-2}]
[0,0,0,0,0,2,{"$f":"0.5^6","v":1.5625E-2},{"$f":"VAR(A5:F5)","v":0.66666666666666674},{"$f":"VAR(A5:F5)","v":0.66666666666666674},12,{"$f":"J5*$G$4","v":0.1875}]
[0,0,0,0,2,0,1.5625E-2,0.66666666666666674,{"$f":"VAR(A14:F14)","v":1.0666666666666669},30,{"$f":"J6*$G$4","v":0.46875}]
[0,0,0,0,2,2,1.5625E-2,1.0666666666666669,1.2,20,{"$f":"J7*$G$4","v":0.3125}]
[0,0,0,2,0,0,1.5625E-2,0.66666666666666674,null,null,{"$f":"SUM(K4:K7)","v":1}]
[0,0,0,2,0,2,1.5625E-2,1.0666666666666669]
[0,0,0,2,2,0,1.5625E-2,1.0666666666666669]
[0,0,0,2,2,2,1.5625E-2,1.2]
[0,0,2,0,0,0,1.5625E-2,0.66666666666666674]
[0,0,2,0,0,2,1.5625E-2,1.0666666666666669]
[0,0,2,0,2,0,1.5625E-2,1.0666666666666669]
[0,0,2,0,2,2,1.5625E-2,1.2]
[0,0,2,2,0,0,1.5625E-2,1.0666666666666669]
[0,0,2,2,0,2,1.5625E-2,1.2]
[0,0,2,2,2,0,1.5625E-2,1.2]
[0,0,2,2,2,2,1.5625E-2,1.0666666666666669]
[0,2,0,0,0,0,1.5625E-2,0.66666666666666674]
[0,2,0,0,0,2,1.5625E-2,1.0666666666666669]
[0,2,0,0,2,0,1.5625E-2,1.0666666666666669]
[0,2,0,0,2,2,1.5625E-2,1.2]
[0,2,0,2,0,0,1.5625E-2,1.0666666666666669]
[0,2,0,2,0,2,1.5625E-2,1.2]
[0,2,0,2,2,0,1.5625E-2,1.2]
[0,2,0,2,2,2,1.5625E-2,1.0666666666666669]
[0,2,2,0,0,0,1.5625E-2,1.0666666666666669]
[0,2,2,0,0,2,1.5625E-2,1.2]
[0,2,2,0,2,0,1.5625E-2,1.2]
[0,2,2,0,2,2,1.5625E-2,1.0666666666666669]
[0,2,2,2,0,0,1.5625E-2,1.2]
[0,2,2,2,0,2,1.5625E-2,1.0666666666666669]
[0,2,2,2,2,0,1.5625E-2,1.0666666666666669]
[0,2,2,2,2,2,1.5625E-2,0.66666666666666641]
[2,0,0,0,0,0,1.5625E-2,0.66666666666666674]
[2,0,0,0,0,2,1.5625E-2,1.0666666666666669]
[2,0,0,0,2,0,1.5625E-2,1.0666666666666669]
[2,0,0,0,2,2,1.5625E-2,1.2]
[2,0,0,2,0,0,1.5625E-2,1.0666666666666669]
[2,0,0,2,0,2,1.5625E-2,1.2]
[2,0,0,2,2,0,1.5625E-2,1.2]
[2,0,0,2,2,2,1.5625E-2,1.0666666666666669]
[2,0,2,0,0,0,1.5625E-2,1.0666666666666669]
[2,0,2,0,0,2,1.5625E-2,1.2]
[2,0,2,0,2,0,1.5625E-2,1.2]
[2,0,2,0,2,2,1.5625E-2,1.0666666666666669]
[2,0,2,2,0,0,1.5625E-2,1.2]
[2,0,2,2,0,2,1.5625E-2,1.0666666666666669]
[2,0,2,2,2,0,1.5625E-2,1.0666666666666669]
[2,0,2,2,2,2,1.5625E-2,0.66666666666666641]
[2,2,0,0,0,0,1.5625E-2,1.0666666666666669]
[2,2,0,0,0,2,1.5625E-2,1.2]
[2,2,0,0,2,0,1.5625E-2,1.2]
[2,2,0,0,2,2,1.5625E-2,1.0666666666666669]
[2,2,0,2,0,0,1.5625E-2,1.2]
[2,2,0,2,0,2,1.5625E-2,1.0666666666666669]
[2,2,0,2,2,0,1.5625E-2,1.0666666666666669]
[2,2,0,2,2,2,1.5625E-2,0.66666666666666641]
[2,2,2,0,0,0,1.5625E-2,1.2]
[2,2,2,0,0,2,1.5625E-2,1.0666666666666669]
[2,2,2,0,2,0,1.5625E-2,1.0666666666666669]
[2,2,2,0,2,2,1.5625E-2,0.66666666666666641]
[2,2,2,2,0,0,1.5625E-2,1.0666666666666669]
[2,2,2,2,0,2,1.5625E-2,0.66666666666666641]
[2,2,2,2,2,0,1.5625E-2,0.66666666666666641]
[2,2,2,2,2,2,1.5625E-2,0]

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["Münze n = 10"]
[]
["Zufallszahlen fixiert"]
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[0.48572758433217844,0]

{"sheet":"Münze n = 100","index":4,"n_rows":103,"n_cols":5,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["Münze n = 100"]
[]
["Zufallszahlen fixiert",null,null,"Mittelwert"]
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["Münze n = 1000"]
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["Münze n = 10000"]
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{"sheet":"Würfel n=10","index":7,"n_rows":1142,"n_cols":9,"rows_kept":1142,"cut":false,"hidden":false,"merged":[]}
["Würfelbeispiel für das Gesetz der grossen Zahlen"]
["n = 10",{"$nulls":7},{"$f":"RAND()","v":0.46482880832814322}]
["Zufallszahlen","Anzahl Augen",null,null,"Zufallszahlen werden mit dem Befehl: '=ZUFALLSZAHL()' erstellt z.B. "]
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[0.8250444577318421,5,null,null,"(z.B. durch Kopieren, Inhalte einfügen, Werte)."]
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[null,null,null,"(gehen Sie auf die Felder, um die Berechnung nachzuprüfen)"]
[null,"Augenzahl","Häufigkeiten","rel. Häufigkeiten","Wahrscheinlichkeiten","Betrag der Abweichungen"]
[null,1,{"$f":"COUNTIF($B$4:$B$13,B16)","v":0},{"$f":"(C16/10)","v":0},{"$f":"(1/6)","v":0.16666666666666666},{"$f":"ABS(D16-E16)","v":0.16666666666666666}]
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{"sheet":"Hausaufgabe 2 mai 06","index":10,"n_rows":54,"n_cols":21,"rows_kept":54,"cut":false,"hidden":false,"merged":[]}
["Hausaufgabe vom 2. Mai  2006 (Statistiken) Modul 502_D  "]
[]
["Ausgangslage:"]
["Zufallsexperiment Würfeln mit Würfel - eins bis sechs Augen. Dreimaliger Wurf"]
["Stichprobenraum S = {ein Auge, zwei Augen, drei Augen, vier Augen, fünf Augen, sechs Augen}"]
["Gleichverteilung auf S. "]
["Zufallsvariable X: X(sechs Augen)=10; X(s)=1 für s <>sechs Augen)"]
[]
["Aufgabenstellung: Zu berechnen ist die Wahrscheinlichkeitsfunktion der Statistik T (=Summe) und T' (=Mittelwert)",{"$nulls":8},"n = 3 und n = 4"]
["und die Erwartungswerte und Varianzen E(Xi), V(Xi), E(T), E(T'), V(T), V(T')"]
{"$rows_empty":26}
["Lösung","n = 4"]
["X1","X2","X3","X4","Wahrscheinlichkeiten",null,null,null,"Summen","Wahrscheinlichkeit der Werte von (X1,X2,X3,X4)","Bild der Zufallsvariable T","Wahrscheinlichkeiten","gewichtete Werte der ZV T","gewichtete quadrierte Abweichungen",null,"Mittelwerte","Bild der Zufallsvariable T'","Wahrscheinlichkeiten","gewichtete Werte der ZV T'","gewichtete quadrierte Abweichungen"]
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[10,10,1,10,0.16666666666666666,0.16666666666666666,0.83333333333333337,0.16666666666666666,31,3.8580246913580245E-3,{"$nulls":5},7.75]
[10,1,10,10,0.16666666666666666,0.83333333333333337,0.16666666666666666,0.16666666666666666,31,3.8580246913580245E-3,{"$nulls":5},7.75]
[1,10,10,10,0.83333333333333337,0.16666666666666666,0.16666666666666666,0.16666666666666666,31,3.8580246913580245E-3,{"$nulls":5},7.75]
[10,10,10,10,0.16666666666666666,0.16666666666666666,0.16666666666666666,0.16666666666666666,40,7.716049382716049E-4,{"$nulls":5},10]

{"sheet":"Lös HA 2_5_06","index":11,"n_rows":19,"n_cols":20,"rows_kept":19,"cut":false,"hidden":false,"merged":[]}
["Lösung","n = 3"]
["Bild von Xi = {1, 10}"]
["Graph der Wahrscheinlichkeitsfunktion auf das Bild von Xi: {(1,5/6), (10,1/6)}"]
["dreifaches Kartesisches Produkt des Bildes von Xi als Tabelle dargestellt:"]
["X1","X2","X3","Wahrscheinlichkeiten",null,null,"Wahrscheinlichkeit für Wert von (X1,X2,X3)","Summen","Bild der Summe = Werte der Zufallsvariable","Wahrscheinlichkeiten","gewichtete Werte der Zufallsvariable t","gewichtete quadrierte Abweichungen",null,"Mittelwerte","Wahrscheinlichkeiten","Bild der ZV Mittelwert","Wahrscheinlichkeiten","gewichtete Werte der Zufallsvariable T'","gewichtete quadrierte Abweichungen"]
[1,1,1,{"$f":"IF(A6=1,5/6,1/6)","v":0.83333333333333337},0.83333333333333337,0.83333333333333337,{"$f":"PRODUCT(D6:F6)","v":0.57870370370370383},{"$f":"SUM(A6:C6)","v":3},3,{"$f":"G6","v":0.57870370370370383},{"$f":"I6*J6","v":1.7361111111111116},{"$f":"J6*(I6-$K$21)^2","v":5.2083333333333348},null,{"$f":"AVERAGE(A6:C6)","v":1},{"$f":"G6","v":0.57870370370370383},1,{"$f":"O6","v":0.57870370370370383},{"$f":"P6*Q6","v":0.57870370370370383},{"$f":"Q6*(P6-$R$21)^2","v":0.57870370370370383}]
[1,1,10,0.83333333333333337,0.83333333333333337,0.16666666666666666,0.11574074074074076,12,12,{"$f":"SUM(G7:G9)","v":0.34722222222222227},{"$f":"I7*J7","v":4.166666666666667},{"$f":"J7*(I7-$K$21)^2","v":50.000000000000007},null,4,0.11574074074074076,4,{"$f":"SUM(O7:O9)","v":0.34722222222222227},{"$f":"P7*Q7","v":1.3888888888888891},{"$f":"Q7*(P7-$R$21)^2","v":5.5555555555555562}]
[1,10,1,0.83333333333333337,0.16666666666666666,0.83333333333333337,0.11574074074074076,12,21,{"$f":"SUM(G10:G12)","v":6.9444444444444448E-2},{"$f":"I8*J8","v":1.4583333333333335},{"$f":"J8*(I8-$K$21)^2","v":30.625},null,4,0.11574074074074076,7,{"$f":"SUM(O10:O12)","v":6.9444444444444448E-2},{"$f":"P8*Q8","v":0.48611111111111116},{"$f":"Q8*(P8-$R$21)^2","v":3.4027777777777781}]
[10,1,1,0.16666666666666666,0.83333333333333337,0.83333333333333337,0.11574074074074076,12,30,{"$f":"G13","v":4.6296296296296294E-3},{"$f":"I9*J9","v":0.1388888888888889},{"$f":"J9*(I9-$K$21)^2","v":4.1666666666666661},null,4,0.11574074074074076,10,{"$f":"O13","v":4.6296296296296294E-3},{"$f":"P9*Q9","v":4.6296296296296294E-2},{"$f":"Q9*(P9-$R$21)^2","v":0.46296296296296291}]
[1,10,10,0.83333333333333337,0.16666666666666666,0.16666666666666666,2.3148148148148147E-2,21,null,"E(T)=",{"$f":"SUM(K6:K9)","v":7.5000000000000018},{"$f":"SUM(L6:L9)","v":90.000000000000014},"(=V(T)",7,2.3148148148148147E-2,null,"E(T')=",{"$f":"SUM(R6:R9)","v":2.5000000000000004},{"$f":"SUM(S6:S9)","v":10.000000000000002},"(= V(T'))"]
[10,1,10,0.16666666666666666,0.83333333333333337,0.16666666666666666,2.3148148148148147E-2,21,null,null,"(=3*E(Xi)","(3*V(Xi)",null,7,2.3148148148148147E-2,null,null,"(=E(Xi)","(=V(Xi)/3"]
[10,10,1,0.16666666666666666,0.16666666666666666,0.83333333333333337,2.3148148148148147E-2,21,{"$nulls":5},7,2.3148148148148147E-2]
[10,10,10,0.16666666666666666,0.16666666666666666,0.16666666666666666,4.6296296296296294E-3,30,{"$nulls":5},10,4.6296296296296294E-3]
[{"$nulls":6},{"$f":"SUM(G6:G13)","v":1}]
[null,"Werte der Zufallsvariable","Wahrscheinlichkeiten","gewichtete Werte der Zufallsvariable","gewichtete Quadrierte Abweichungen"]
[null,1,{"$f":"5/6","v":0.83333333333333337},{"$f":"B16*C16","v":0.83333333333333337},{"$f":"C16*(B16-$D$29)^2","v":0.83333333333333337}]
[null,10,{"$f":"1/6","v":0.16666666666666666},{"$f":"B17*C17","v":1.6666666666666665},{"$f":"C17*(B17-$D$29)^2","v":16.666666666666664}]
["E(Xi)=",null,null,{"$f":"SUM(D16:D17)","v":2.5}]
["V(Xi)=",null,null,null,{"$f":"SUM(E16:E17)","v":17.499999999999996}]

{"sheet":"ZU","index":12,"n_rows":12,"n_cols":1,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
["Zusatzübung"]
["Gegenben sei"]
[]
["Wurfexperiment Münze mit S = {K,Z}"]
["w(K)=0.4"]
["w(Z)=0.6"]
["X(K)=1"]
["X(Z)=10"]
[]
["Es werden 5 Wurfexperimente durchgeführt. Berechnen Sie den Erwartungswert und die Varianz der Zufallsvariable \"Varianz\" auf das "]
["das Bild von X=(X1,...X5)."]
["Vergleichen Sie die Resultate mit E(Xi) und V(Xi)."]

{"sheet":"Lösung ZU","index":13,"n_rows":35,"n_cols":17,"rows_kept":35,"cut":false,"hidden":false,"merged":[]}
[]
["Kartesisches Produkt der Bilder von Xi"]
["X1","X2","X3","X4","X5","Wahrscheinlichkeiten",{"$nulls":4},"Werte der gemeinsamen Wahrscheinlichkeitsfunktion","Varianzen","Bild der Statistik \"Varianz\"","Wahrscheinlichkeitsfunktion der Statistik \"Varianz\"","gewichtete Werte der Statistik","gewichtete quadrierte Abweichungen"]
[1,1,1,1,1,{"$f":"IF(A4=1,0.6,0.4)","v":0.6},{"$f":"IF(B4=1,0.6,0.4)","v":0.6},{"$f":"IF(C4=1,0.6,0.4)","v":0.6},{"$f":"IF(D4=1,0.6,0.4)","v":0.6},{"$f":"IF(E4=1,0.6,0.4)","v":0.6},{"$f":"PRODUCT(F4:J4)","v":7.7759999999999996E-2},{"$f":"VAR(A4:E4)","v":0},0,{"$f":"K4+K35","v":8.7999999999999995E-2},{"$f":"M4*N4","v":0},{"$f":"N4*(M4-$O$7)^2","v":8.1100799999999987E-2}]
[1,1,1,1,-1,0.6,0.6,0.6,0.6,0.4,5.1839999999999997E-2,0.8,0.8,{"$f":"K5+K6+K8+K12+K19+K20+K27+K31+K33+K34","v":0.33599999999999991},{"$f":"M5*N5","v":0.26879999999999993},{"$f":"N5*(M5-$O$7)^2","v":8.6015999999999888E-3}]
[1,1,1,-1,1,0.6,0.6,0.6,0.4,0.6,5.1840000000000004E-2,0.8,1.2,{"$f":"K7+SUM(K9:K11)+SUM(K13:K18)+SUM(K21:K26)+SUM(K28:K30)+K32","v":0.57600000000000007},{"$f":"M6*N6","v":0.69120000000000004},{"$f":"N6*(M6-$O$7)^2","v":3.3177600000000002E-2}]
[1,1,1,-1,-1,0.6,0.6,0.6,0.4,0.4,3.456E-2,1.2,null,"E(V)=",{"$f":"SUM(O4:O6)","v":0.96},null,"(=Erwartungswert der Statistik \"Varianz\")"]
[1,1,-1,1,1,0.6,0.6,0.4,0.6,0.6,5.183999999999999E-2,0.8,null,"V(V)=",null,{"$f":"SUM(P4:P7)","v":0.12287999999999998},"(= Varianz der Statistik \"Varianz\")"]
[1,1,-1,1,-1,0.6,0.6,0.4,0.6,0.4,3.456E-2,1.2]
[1,1,-1,-1,1,0.6,0.6,0.4,0.4,0.6,3.456E-2,1.2]
[1,1,-1,-1,-1,0.6,0.6,0.4,0.4,0.4,2.3040000000000001E-2,1.2,null,"E(Xi)",{"$f":"(0.4*-1+0.6*1)","v":0.19999999999999996}]
[1,-1,1,1,1,0.6,0.4,0.6,0.6,0.6,5.183999999999999E-2,0.8,null,"V(Xi)",{"$f":"0.4*(-1-0.2)^2+0.6*(1-0.2)^2","v":0.96}]
[1,-1,1,1,-1,0.6,0.4,0.6,0.6,0.4,3.456E-2,1.2]
[1,-1,1,-1,1,0.6,0.4,0.6,0.4,0.6,3.456E-2,1.2,null,"Somit gilt E(V)=V(Xi)"]
[1,-1,1,-1,-1,0.6,0.4,0.6,0.4,0.4,2.3040000000000001E-2,1.2]
[1,-1,-1,1,1,0.6,0.4,0.4,0.6,0.6,3.456E-2,1.2]
[1,-1,-1,1,-1,0.6,0.4,0.4,0.6,0.4,2.3040000000000001E-2,1.2]
[1,-1,-1,-1,1,0.6,0.4,0.4,0.4,0.6,2.3040000000000001E-2,1.2]
[1,-1,-1,-1,-1,0.6,0.4,0.4,0.4,0.4,1.5360000000000002E-2,0.8]
[-1,1,1,1,1,0.4,0.6,0.6,0.6,0.6,5.183999999999999E-2,0.8]
[-1,1,1,1,-1,0.4,0.6,0.6,0.6,0.4,3.456E-2,1.2]
[-1,1,1,-1,1,0.4,0.6,0.6,0.4,0.6,3.456E-2,1.2]
[-1,1,1,-1,-1,0.4,0.6,0.6,0.4,0.4,2.3040000000000001E-2,1.2]
[-1,1,-1,1,1,0.4,0.6,0.4,0.6,0.6,3.456E-2,1.2]
[-1,1,-1,1,-1,0.4,0.6,0.4,0.6,0.4,2.3040000000000001E-2,1.2]
[-1,1,-1,-1,1,0.4,0.6,0.4,0.4,0.6,2.3040000000000001E-2,1.2]
[-1,1,-1,-1,-1,0.4,0.6,0.4,0.4,0.4,1.5360000000000002E-2,0.8]
[-1,-1,1,1,1,0.4,0.4,0.6,0.6,0.6,3.456E-2,1.2]
[-1,-1,1,1,-1,0.4,0.4,0.6,0.6,0.4,2.3040000000000005E-2,1.2]
[-1,-1,1,-1,1,0.4,0.4,0.6,0.4,0.6,2.3040000000000005E-2,1.2]
[-1,-1,1,-1,-1,0.4,0.4,0.6,0.4,0.4,1.5360000000000006E-2,0.8]
[-1,-1,-1,1,1,0.4,0.4,0.4,0.6,0.6,2.3040000000000005E-2,1.2]
[-1,-1,-1,1,-1,0.4,0.4,0.4,0.6,0.4,1.5360000000000006E-2,0.8]
[-1,-1,-1,-1,1,0.4,0.4,0.4,0.4,0.6,1.5360000000000004E-2,0.8]
[-1,-1,-1,-1,-1,0.4,0.4,0.4,0.4,0.4,1.0240000000000004E-2,0]