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{"sheet":"APPENDIX A","index":0,"n_rows":0,"n_cols":0,"rows_kept":0}

{"sheet":"APPENDIX B ","index":1,"n_rows":0,"n_cols":0,"rows_kept":0}

{"sheet":"APPENDIX C","index":2,"n_rows":0,"n_cols":0,"rows_kept":0}

{"sheet":"APPENDIX D","index":3,"n_rows":47,"n_cols":17,"rows_kept":47,"merged":[[3,5,6,5],[4,7,6,7],[4,8,6,8],[5,2,6,2],[5,3,6,3],[5,4,6,4],[5,6,6,6]]}
[]
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[]
[{"$nulls":5},"AQM predicted tumbling","AQM predicted r (precession more closely approximates experimental)"]
[{"$nulls":7},"prediction closest to experimental","R=1.25*A^1/3",{"$nulls":7},{"$f":"1","v":1}]
[null,null,"Nuclide","RMS Charge Radius R","Uncertainty △R",null,"predicted precessing"]
[]
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[{"$f":"A9+1","v":3},3,"He-3",1.97,0.003,{"v":1.920970813,"d":"1.92"},1.63,{"v":1.920970813,"d":"1.92"},{"v":1.8028119628842605,"d":"1.803"},null,"He-3",1.97,3,1.76]
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[null,5,"He-5",{"$nulls":5},{"v":2.137469933345871,"d":"2.137"},null,"Li-6",2.59,6,2.39]
[{"$f":"A11+1","v":5},6,"Li-6",2.59,0.039,{"v":2.422924252,"d":"2.42"},2.42,{"v":2.422924252,"d":"2.42"},{"v":2.2714007410401744,"d":"2.271"},null,"Li-7",2.44,7,2.44]
[6,7,"Li-7",2.44,0.042,{"v":2.422924252,"d":"2.42"},2.42,{"v":2.422924252,"d":"2.42"},{"v":2.391163978465486,"d":"2.391"},null,"Be-9",{"v":2.519,"d":"2.52"},9,2.46]
[null,8,"Be-8",{"$nulls":5},{"v":2.4999999999999996,"d":"2.500"},null,"B-10",{"v":2.4277,"d":"2.43"},10,2.28]
[{"$f":"A14+1","v":7},9,"Be-9",{"v":2.519,"d":"2.52"},0.012,{"v":2.4701,"d":"2.47"},2.47,{"v":2.4701,"d":"2.47"},{"v":2.60010477881488,"d":"2.600"},null,"C-12",2.47,{"$f":"12","v":12},2.32]
[8,10,"B-10",{"v":2.4277,"d":"2.43"},0.0499,{"v":2.4229,"d":"2.42"},2.42,{"v":2.4229,"d":"2.42"},{"v":2.693043362539855,"d":"2.693"}]
[9,11,"B-11",{"v":2.406,"d":"2.41"},0.0294,{"v":2.4234,"d":"2.42"},2.42,{"v":2.4234,"d":"2.42"},{"v":2.779975113211645,"d":"2.780"}]
[10,12,"C-12",2.47,0.0022,2.47,2.47,2.47,{"v":2.8617856063833296,"d":"2.862"}]
[11,13,"C-13",{"v":2.4614,"d":"2.46"},0.0034,2.48,2.47,2.47,{"v":2.939168359650947,"d":"2.939"}]
[12,14,"N-14",{"v":2.5582,"d":"2.56"},0.007,2.79,2.61,2.61,{"v":3.012677830219037,"d":"3.013"}]
[13,15,"N-15",{"v":2.6058,"d":"2.61"},0.008,2.84,2.61,2.61,{"v":3.082765092913088,"d":"3.083"}]
[14,16,"O-16",{"v":2.6991,"d":"2.70"},0.0052,{"v":2.800547462,"d":"2.80"},2.61,2.61,{"v":3.149802624737182,"d":"3.150"}]
[15,17,"O-17",{"v":2.6932,"d":"2.69"},0.0075,{"v":2.726230737,"d":"2.73"},2.61,{"v":2.726230737,"d":"2.73"},{"v":3.2141019883227937,"d":"3.214"}]
[16,18,"O-18",{"v":2.7726,"d":"2.77"},0.0056,2.74,2.61,2.74,{"v":3.2759267427611203,"d":"3.276"}]
[17,19,"F-19",{"v":2.8976,"d":"2.90"},0.0025,{"v":2.626,"d":"2.63"},2.61,{"v":2.626,"d":"2.63"},{"v":3.3355020609024306,"d":"3.336"}]
[18,20,"Ne-20",{"v":3.0055,"d":"3.01"},0.0021,{"v":2.864259158,"d":"2.86"},2.82,{"v":2.864259158,"d":"2.86"},{"v":3.393022020743633,"d":"3.393"}]
[{"$f":"A27+1","v":19},21,"Ne-21",{"v":2.9695,"d":"2.97"},3.3E-3,{"v":2.919171148,"d":"2.92"},2.82,{"v":2.919171148,"d":"2.92"},{"v":3.448655220476401,"d":"3.449"}]
[20,22,"Ne-22",{"v":2.9525,"d":"2.95"},0.004,{"v":2.923463193,"d":"2.92"},2.82,{"v":2.923463193,"d":"2.92"},{"v":3.502549163319234,"d":"3.503"}]
[21,23,"Na-23",{"v":2.9936,"d":"2.99"},0.0021,{"v":2.833,"d":"2.83"},2.82,{"v":2.833,"d":"2.83"},{"v":3.554833724814457,"d":"3.555"}]
[22,24,"Mg-24",{"v":3.057,"d":"3.06"},0.0016,{"v":2.819765893,"d":"2.82"},2.82,{"v":2.819765893,"d":"2.82"},{"v":3.605623925768521,"d":"3.606"}]
[23,25,"Mg-25",{"v":3.0284,"d":"3.03"},0.0022,{"v":2.849832409,"d":"2.85"},2.82,{"v":2.849832409,"d":"2.85"},{"v":3.655022172766082,"d":"3.655"}]
[24,26,"Mg-26",{"v":3.0337,"d":"3.03"},1.8E-3,{"v":2.8198,"d":"2.82"},2.82,{"v":2.8198,"d":"2.82"},{"v":3.703120085509213,"d":"3.703"}]
[25,27,"Al-27",{"v":3.061,"d":"3.06"},0.0031,{"v":3.107714614,"d":"3.11"},3.09,{"v":3.107714614,"d":"3.11"},{"v":3.7499999999999996,"d":"3.750"}]
[26,28,"Si-28",{"v":3.1224,"d":"3.12"},0.0024,{"v":3.1251967022291587,"d":"3.13"},3.09,{"v":3.1251967022291587,"d":"3.13"},{"v":3.7957362148445775,"d":"3.796"}]
[27,29,"Si-29",{"v":3.1176,"d":"3.12"},0.0052,{"v":3.116606947133155,"d":"3.12"},3.09,{"v":3.116606947133155,"d":"3.12"},{"v":3.840396032107309,"d":"3.840"}]
[28,30,"Si-30",{"v":3.1336,"d":"3.13"},0.004,3.13,3.09,3.13,{"v":3.884040632442323,"d":"3.884"}]
[29,31,"P-31",{"v":3.1889,"d":"3.19"},1.9E-3,{"v":3.132447808357531,"d":"3.13"},3.09,{"v":3.132447808357531,"d":"3.13"},{"v":3.926725815489241,"d":"3.927"}]
[30,32,"S-32",{"v":3.2611,"d":"3.26"},1.8E-3,{"v":3.303291559618404,"d":"3.30"},3.41,{"v":3.303291559618404,"d":"3.30"},{"v":3.9685026299204984,"d":"3.969"}]
[31,33,"S-34",{"v":3.2847,"d":"3.28"},0.0021,{"v":3.342255023,"d":"3.34"},3.41,{"v":3.342255023,"d":"3.34"},{"v":4.009417912494783,"d":"4.009"}]
[32,35,"Cl-35",{"v":3.3654,"d":"3.37"},0.0191,{"v":3.413315108191048,"d":"3.41"},3.41,{"v":3.413315108191048,"d":"3.41"},{"v":4.0888328877357365,"d":"4.089"}]
[33,36,"Ar-36",{"v":3.3905,"d":"3.39"},2.3E-3,{"v":3.4132,"d":"3.41"},3.41,{"v":3.4132,"d":"3.41"},{"v":4.127409061118283,"d":"4.127"}]
[{"$nulls":3},"Ave =",{"$f":"AVERAGE(E8:E42)","v":0.008966666666666668}]
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[{"$nulls":3},"Pearsons R=",{"$f":"ROUND(CORREL(D9:D42,F9:F42),2)","v":{"v":0.96,"d":"0.960"}}]
[{"$nulls":3},"t=",{"$f":"E45*SQRT(33-2)/SQRT(1-E45^2)","v":19.089477815417215}]
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[{"$nulls":9},"\"Best Fit\" Radius/Structure Predictions for Light Nuclei through F-19 based on Alternating Quark Model"]
[]
[]
[]
[]
[{"$nulls":9},"• "]
[{"$nulls":3},"best fit ="]
[]
[]
["H-2",{"$nulls":4},"nucleon","quark position","mass     (MeV)","x (fm)","y (fm)","weight x","weight y"]
[]
[{"$nulls":5},"p",0,336,0,0,{"$f":"H12*I12","v":0},{"$f":"H12*J12","v":0}]
[{"$nulls":6},1,340,{"$f":"I12+0.8414","v":0.8414},0,{"$f":"H13*I13","v":286.076},{"$f":"H13*J13","v":0}]
[null,"proton mass =",938.272088,{"$f":"C14/3","v":312.75736266666667},null,null,2,336,{"$f":"I13+0.8414","v":1.6828},0,565.4208,0]
[null,"neutron mass =",939.56542052,{"$f":"C15/3","v":313.18847350666664},{"$f":"C14/C15","v":{"v":0.9986234779486839,"d":"99.86%"}},"n",3,340,2.5242,0,858.228,0]
[null,null,{"$f":"C14+C15","v":1877.83750852},{"$nulls":3},4,336,3.3656,0,1130.8416,0]
[null,"u mass",{"$f":"C16/H18","v":0.9259553789546351},{"$nulls":3},5,340,4.207,0,1430.3799999999999,0]
[null,"d mass",{"$f":"C17*1.12","v":1.0370700244291915},{"$nulls":4},{"$f":"SUM(H12:H17)","v":2028},{"$f":"SUM(I12:I17)","v":12.620999999999999},null,{"$f":"SUM(K12:K17)","v":4270.9464},{"$f":"SUM(L12:L17)","v":0},null,{"$f":"SUM(L12:L17)","v":0}]
[]
[{"$nulls":11}," Center of Mass"," x =",{"$f":"K18/H18","v":2.1059893491124257}]
[{"$nulls":3},{"$f":"700/2.12","v":330.188679245283},{"$nulls":8}," y = ",{"$f":"L18/H18","v":0}]
[{"$nulls":3},{"$f":"D21*1.12","v":369.81132075471703},{"$nulls":8},"experimental (fm) =",2.12799]
[{"$nulls":12},"AQM predicted r (tumbling) =",{"$f":"SQRT((N20-I12)^2+(N21-J12)^2)","v":{"v":2.1059893491124257,"d":"2.1060"}},"COM to quark 0",null,2.10598934911243]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N23-N22)/((N22+N23)/2)","v":{"v":0.010392422387315765,"d":"1.0%"}}]
[{"$nulls":11},"(5 x 0.8414)/2=",null,{"$f":"5*0.8414/2","v":2.1035}]
[]
[{"$nulls":3},"COM = Center of Mass"]
[]
["H-3",{"$nulls":3},"H-3 as a sequence of 9 quarks occupying 9 of 12 vertices of a dodecagon",{"$nulls":8},"dodecagon circumradius = 1.625 fm"]
[{"$nulls":4},"(Axis of rotation passes through Center of Mass (COM) and comes directly out of the page)",{"$nulls":8},"dodecagon exterior angle = 30 degrees"]
[]
[{"$nulls":5},"nucleon","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","weight x","weight y"]
[]
[{"$nulls":5},"p",0,330,{"$f":"RADIANS(H34)","v":5.759586531581287},336,{"$f":"TRUNC(1.62546*SIN(I34),4)","v":-0.8127},{"$f":"TRUNC(1.62546*COS(I34),4)","v":1.4076},{"$f":"J34*K34","v":-273.0672},{"$f":"J34*L34","v":472.9536}]
[{"$nulls":6},1,0,{"$f":"RADIANS(H35)","v":0},340,{"$f":"TRUNC(1.62546*SIN(I35),4)","v":0},1.6254,{"$f":"J35*K35","v":0},{"$f":"J35*L35","v":552.636}]
[{"$nulls":3},"Up Quark ",null,null,2,{"$f":"H35+30","v":30},0.5235987755982988,336,0.8127,1.4076,273.0672,472.9536]
[{"$nulls":3},"Down Quark ",null,"n",3,{"$f":"H36+30","v":60},1.0471975511965976,340,1.4076,0.8127,478.584,276.318]
[{"$nulls":6},4,90,1.5707963267948966,336,1.6254,0,546.1344,0]
[{"$nulls":6},5,120,2.0943951023931953,340,1.4076,-0.8127,478.584,-276.318]
[{"$nulls":5},"unoccupied",6,150,2.6179938779914944,0,0.8127,-1.4076,0,0]
[{"$nulls":6},7,180,3.141592653589793,0,0,-1.6254,0,0]
[{"$nulls":6},8,210,3.6651914291880923,0,-0.8127,-1.4076,0,0]
[{"$nulls":5},"n",9,240,4.1887902047863905,340,-1.4076,-0.8127,-478.584,-276.318]
[{"$nulls":6},10,270,4.71238898038469,336,-1.6254,0,-546.1344,0]
[{"$nulls":6},11,300,5.235987755982989,340,-1.4076,0.8127,-478.584,{"$f":"J45*L45","v":276.318}]
[{"$nulls":8},"Total=",{"$f":"SUM(J34:J45)","v":3044},null,null,{"$f":"SUM(M34:M45)","v":0},{"$f":"SUM(N34:N45)","v":1498.5432}]
[]
[{"$nulls":11}," Center of Mass"," x =",{"$f":"M46/J46","v":0}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((K38-K44)^2+(L38-L44)^J623)/2","v":1.6254},null,null," y = ",{"$f":"N46/J46","v":0.4922940867279895}]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J49-N50)/((N50+J49)/2)","v":{"v":0.07900723888314383,"d":"7.9%"}},null,null,"experimental (fm) =",1.7591]
[{"$nulls":12},"AQM predicted r (tumbling) =",{"$f":"SQRT((N48-K39)^2+(N49-L39)^2)","v":1.919465375148773},"COM to quark 5"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N51-N50)/((N50+N51)/2)","v":{"v":0.08718908530600036,"d":"8.7%"}}]
[]
["He-3",{"$nulls":3},"He-3 as a sequence of 9 quarks occupying 9 of 12 vertices of a dodecagon"]
[{"$nulls":4},"(Axis of rotation passes through Center of Mass (COM) and comes directly out of the page)",{"$nulls":8},"dodecagon circumradius = 1.625 fm"]
[]
[{"$nulls":5},"nucleon","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","weight x","weight y"]
[]
[{"$nulls":5},"n",0,330,{"$f":"RADIANS(H59)","v":5.759586531581287},340,{"$f":"TRUNC(1.62546*SIN(I59),4)","v":-0.8127},{"$f":"TRUNC(1.62546*COS(I59),4)","v":1.4076},{"$f":"J59*K59","v":-276.318},{"$f":"J59*L59","v":478.584}]
[{"$nulls":3},"Up Quark ",null,null,1,0,{"$f":"RADIANS(H60)","v":0},336,0,1.6254,{"$f":"J60*K60","v":0},{"$f":"J60*L60","v":546.1344}]
[{"$nulls":3},"Down Quark ",null,null,2,30,0.5235987755982988,340,0.8127,1.4076,276.318,478.584]
[{"$nulls":5},"p",3,60,1.0471975511965976,336,1.4076,0.8127,472.9536,273.0672]
[{"$nulls":6},4,90,1.5707963267948966,340,1.6254,0,552.636,0]
[{"$nulls":6},5,120,2.0943951023931953,336,1.4076,-0.8127,472.9536,-273.0672]
[{"$nulls":5},"unoccupied",6,150,2.6179938779914944,0,0.8127,-1.4076,0,0]
[{"$nulls":6},7,180,3.141592653589793,0,0,-1.6254,0,0]
[{"$nulls":6},8,210,3.6651914291880923,0,-0.8127,-1.4076,0,0]
[{"$nulls":5},"p",9,240,4.1887902047863905,336,-1.4076,-0.8127,-472.9536,-273.0672]
[{"$nulls":6},10,270,4.71238898038469,340,-1.6254,0,-552.636,0]
[{"$nulls":6},11,300,5.235987755982989,336,-1.4076,0.8127,{"$f":"J70*K70","v":-472.9536},273.0672]
[{"$nulls":8},"Total =",{"$f":"SUM(J59:J70)","v":3040},null,null,{"$f":"SUM(M59:M70)","v":0},{"$f":"SUM(N59:N70)","v":1503.3024}]
[]
[{"$nulls":10},"Center of Mass",null," x =",{"$f":"M71/J71","v":0}]
[{"$nulls":12}," y = ",{"$f":"N71/J71","v":0.49450736842105264}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((J63-J69)^2+(K63-K69)^2)/2","v":1.6254},null,null,"experimental (fm) =",1.9661]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J75-N76)/((N76+J75)/2)","v":{"v":0.16668917521796836,"d":"16.7%"}},null,null,"AQM predicted r (tumbling) =",{"$f":"SQRT((N73-K64)^2+(N74-L64)^2)","v":1.9209708129105694},"Center of Mass to quark 5"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N76-N75)/((N75+N76)/2)","v":{"v":0.023220151760311593,"d":"2.3%"}}]
[]
[]
["He-4"]
[]
[{"$nulls":5},"nucleon","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","weight x","weight y"]
[]
[{"$nulls":5},"n",0,330,{"$f":"RADIANS(H84)","v":5.759586531581287},340,{"$f":"TRUNC(1.62546*SIN(I84),4)","v":-0.8127},{"$f":"TRUNC(1.62546*COS(I84),4)","v":1.4076},{"$f":"J84*K84","v":-276.318},{"$f":"J84*L84","v":478.584}]
[{"$nulls":6},1,0,{"$f":"RADIANS(H85)","v":0},336,0,1.6254,{"$f":"J85*K85","v":0},{"$f":"J85*L85","v":546.1344}]
[{"$nulls":6},2,30,0.5235987755982988,340,0.8127,1.4076,276.318,478.584]
[{"$nulls":5},"p",3,60,1.0471975511965976,336,1.4076,0.8127,472.9536,273.0672]
[{"$nulls":6},4,90,1.5707963267948966,340,1.6254,0,552.636,0]
[{"$nulls":6},5,120,2.0943951023931953,336,1.4076,-0.8127,472.9536,-273.0672]
[{"$nulls":5},"n",6,150,2.6179938779914944,340,0.8127,-1.4076,276.318,-478.584]
[{"$nulls":6},7,180,3.141592653589793,336,0,-1.6254,0,-546.1344]
[{"$nulls":6},8,210,3.6651914291880923,340,-0.8127,-1.4076,-276.318,-478.584]
[{"$nulls":5},"p",9,240,4.1887902047863905,336,-1.4076,-0.8127,-472.9536,-273.0672]
[{"$nulls":6},10,270,4.71238898038469,340,-1.6254,0,-552.636,0]
[{"$nulls":6},11,300,5.235987755982989,336,-1.4076,0.8127,{"$f":"J95*K95","v":-472.9536},273.0672]
[{"$nulls":8},"Total =",{"$f":"SUM(J84:J95)","v":4056},null,null,{"$f":"SUM(M84:M95)","v":0},{"$f":"SUM(N84:N95)","v":0}]
[]
[{"$nulls":10},"Center of Mass",null," x =",{"$f":"M96/J96","v":0}]
[{"$nulls":12}," y = ",{"$f":"N96/J96","v":0}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((J87-J93)^2+(K87-K93)^2)/2","v":1.4076},null,null,"experimental (fm) =",1.6755]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J100-N101)/((N101+J100)/2)","v":{"v":0.14360019923566703,"d":"14.4%"}},null,null,"AQM predicted r (tumbling) =",{"$f":"SQRT((N98-K89)^2+(N99-L89)^2)","v":1.6253673584762307},1.6253673584762307]
[{"$nulls":12}," % agreement=",{"$f":"ABS(N101-N100)/((N100+N101)/2)","v":{"v":0.03037543535036916,"d":"3.0%"}}]
{"$rows_empty":9}
["Li-6",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},"Li-6 Base",0,"p",0,0,{"$f":"RADIANS(J114)","v":0},336,{"$f":"TRUNC(2.423*SIN(K114),4)","v":0},{"$f":"TRUNC(2.423*COS(K114),4)","v":2.423},0,{"$f":"L114*M114","v":0},{"$f":"L114*N114","v":814.128},{"$f":"L114*O114","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J115)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K115),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K115),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":11},{"$f":"SUM(L114:L131)","v":6084},{"$nulls":3},{"$f":"SUM(P114:P131)","v":0},{"$f":"SUM(Q114:Q131)","v":0},{"$f":"SUM(R114:R131)","v":0}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P132/L132","v":0}]
[{"$nulls":14},"y=",{"$f":"Q132/L132","v":0}]
[{"$nulls":14},"z=",{"$f":"R132/L132","v":0}]
[{"$nulls":13},"experimental radius=",null,2.59]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M124-P134)^2+(N124-P135)^2+(O124-P136)^2)","v":2.422924251808133},"COM to quark 8  (farthest)"]
[{"$nulls":15},{"$f":"ABS(P138-P137)/((P137+P138)/2)","v":{"v":0.0666579983256693,"d":"6.7%"}}]
[]
[]
["Li-7"]
[]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J147)","v":0},336,{"$f":"TRUNC(2.423*SIN(K147),4)","v":0},{"$f":"TRUNC(2.423*COS(K147),4)","v":2.423},0,{"$f":"L147*M147","v":0},{"$f":"L147*N147","v":814.128},{"$f":"L147*O147","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J148)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K148),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K148),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[null,"Up Quark ",{"$nulls":6},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[null,"Down Quark ",{"$nulls":6},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},"C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(J165)","v":1.5707963267948966},340,0.84,0,0,285.59999999999997,0,0]
[{"$nulls":8},"C","c","c",336,0,0,0,0,0,0]
[{"$nulls":8},"C - 0.84(x)",270,{"$f":"RADIANS(J167)","v":4.71238898038469},340,-0.84,0,0,-285.59999999999997,0,0]
[{"$nulls":11},{"$f":"SUM(L147:L167)","v":7100},{"$nulls":3},{"$f":"SUM(P147:P167)","v":0},{"$f":"SUM(Q147:Q167)","v":3.410605131648481e-13},{"$f":"SUM(R147:R167)","v":0}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P168/L168","v":0}]
[{"$nulls":14},"y=",{"$f":"Q168/L168","v":4.803669199504903e-17}]
[{"$nulls":14},"z=",{"$f":"R168/L168","v":0}]
[{"$nulls":13},"experimental radius=",null,2.444]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M157-P170)^2+(N157-P171)^2+(O157-P172)^2)","v":2.422924251808133},"COM to quark 8  (farthest)"]
[{"$nulls":15},{"$f":"ABS(P174-P173)/((P173+P174)/2)","v":{"v":0.008660807977045016,"d":"0.9%"}}]
[]
[]
[{"$nulls":14},2.422924251808133]
[]
["Be-9"]
[]
[]
[null,"Be-9 has 9 sequential quarks overlapping an 18-gon base"]
[null,"a=0.8414 fm (proton radius)"]
[null,"circumradius of 18-gon = 2.423 fm"]
[null,"angle=20 degrees"]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J190)","v":0},336,{"$f":"TRUNC(2.423*SIN(K190),4)","v":0},{"$f":"TRUNC(2.423*COS(K190),4)","v":2.423},0,{"$f":"L190*M190","v":0},{"$f":"L190*N190","v":814.128},{"$f":"L190*O190","v":0}]
[{"$nulls":8},1,{"$f":"J190+20","v":20},0.3490658503988659,340,0.8287,2.2768,0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},"7*",140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[null,"Up Quark ",{"$nulls":6},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[null,"Down Quark ",{"$nulls":4},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0,null,"r=",{"$f":"SQRT((0.9616)^2+(SQRT((2*0.9616)^2+(2*0.8414)^2)/2))","v":1.484054610413884}]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},1,{"$f":"J208+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,{"$f":"J209+20","v":40},0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,{"$f":"J210+20","v":60},1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":11},{"$f":"SUM(L190:L216)","v":9128},{"$nulls":3},{"$f":"SUM(P190:P216)","v":4644.458},{"$f":"SUM(Q190:Q216)","v":818.9740000000002},{"$f":"SUM(R190:R216)","v":2927.1104}]
[{"$nulls":12},"Coordinates"]
[{"$nulls":11},"Center of Mass","x=",{"$f":"P217/L217","v":0.5088144171779141}]
[{"$nulls":8},"AQM predicted r (precessing*)=",{"$f":"SQRT((M212-M203)^2+(N212-N203)^2+(O212-O203)^2)/2","v":2.4701478376809756},null,null,"y=",{"$f":"Q217/L217","v":0.08972107800175287}]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J220-N222)/((N222+J220)/2)","v":{"v":0.019583369308106818,"d":"2.0%"}},null,null,"z=",{"$f":"R217/L217","v":0.3206737949167397}]
[{"$nulls":12},"Be-9 accepted r=",2.519,"(+/-  0.0120 fm)"]
[{"$nulls":12},"AQM predicted r (tumbling)=",{"$f":"TRUNC(SQRT((N219-M208)^2+(N220-N208)^2+(N221-O208)^2),4)","v":2.4726},"Center of Mass to quark 0, Ring 2"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N223-N222)/((N222+N223)/2)","v":{"v":0.018591233271896875,"d":"1.9%"}}]
[]
[]
["B-10",{"$nulls":3},"B-10 as an 18-gon + sequence of 12 overlapping quarks"]
[{"$nulls":4},"a=0.8414 fm (proton radius)"]
[{"$nulls":4},"circumradius of 18-gon = 2.423 fm"]
[{"$nulls":4},"angle=20 degrees"]
[]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":3},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J235)","v":0},336,{"$f":"TRUNC(2.423*SIN(K235),4)","v":0},{"$f":"TRUNC(2.423*COS(K235),4)","v":2.423},0,{"$f":"L235*M235","v":0},{"$f":"L235*N235","v":814.128},{"$f":"L235*O235","v":0},{"$nulls":3},1,0,"p",0,0,{"$f":"RADIANS(Z235)","v":0},2.16,{"$f":"TRUNC(2.423*SIN(AA235),4)","v":0},{"$f":"TRUNC(2.423*COS(AA235),4)","v":2.423},0,{"$f":"AB235*AC235","v":0},{"$f":"AB235*AD235","v":5.2336800000000006},{"$f":"AB235*AE235","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J236)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K236),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K236),4)","v":2.2768},0,281.758,774.1120000000001,0,{"$nulls":6},1,20,{"$f":"RADIANS(Z236)","v":0.3490658503988659},4.67,{"$f":"TRUNC(2.423*SIN(AA236),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(AA236),4)","v":2.2768},0,3.8700289999999997,10.632656,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0,{"$nulls":6},2,40,0.6981317007977318,2.16,1.5574,1.8561,0,3.363984,4.009176,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0,{"$nulls":4},1,"n",3,60,1.0471975511965976,4.67,2.0983,1.2115,0,9.799061,5.657705,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0,{"$nulls":6},4,80,1.3962634015954636,2.16,2.3861,0.4207,0,5.153976,0.9087120000000001,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0,{"$nulls":6},5,100,1.7453292519943295,4.67,2.3861,-0.4207,0,11.143087,-1.964669,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0,{"$nulls":4},2,"p",6,120,2.0943951023931953,2.16,2.0983,-1.2115,0,4.532328000000001,-2.6168400000000003,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0,{"$nulls":6},7,140,2.443460952792061,4.67,1.5574,-1.8561,0,7.273058,-8.667987,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0,{"$nulls":6},8,160,2.792526803190927,2.16,0.8287,-2.2768,0,1.789992,-4.9178880000000005,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0,{"$nulls":4},3,"n",9,180,3.141592653589793,4.67,0,-2.423,0,0,-11.31541,0]
[null,"Up Quark ",{"$nulls":6},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0,{"$nulls":6},10,200,3.490658503988659,2.16,-0.8287,-2.2768,0,-1.789992,-4.9178880000000005,0]
[null,"Down Quark ",{"$nulls":6},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0,{"$nulls":6},11,220,3.839724354387525,4.67,-1.5574,-1.8561,0,-7.273058,-8.667987,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0,{"$nulls":4},4,"p",12,240,4.1887902047863905,2.16,-2.0983,-1.2115,0,-4.532328000000001,-2.6168400000000003,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0,{"$nulls":6},13,260,4.537856055185257,4.67,-2.3861,-0.4207,0,-11.143087,-1.964669,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0,{"$nulls":6},14,280,4.886921905584122,2.16,-2.3861,0.4207,0,-5.153976,0.9087120000000001,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0,{"$nulls":4},5,"n",15,300,5.235987755982989,4.67,-2.0983,1.2115,0,-9.799061,5.657705,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0,{"$nulls":6},16,320,5.585053606381854,2.16,-1.5574,1.8561,0,-3.363984,4.009176,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0,{"$nulls":6},17,340,5.934119456780721,4.67,-0.8287,2.2768,0,-3.8700289999999997,10.632656,0]
[{"$nulls":5},"1C",0,"n",0,0,{"$f":"RADIANS(J253)","v":0},340,{"$f":"TRUNC(1.62546*SIN(K253),4)","v":0},{"$f":"TRUNC(1.62546*COS(K253),4)","v":1.6254},0,{"$f":"L253*N253","v":552.636},552.636,0,{"$nulls":3},"1C",0,"n",0,0,{"$f":"RADIANS(Z253)","v":0},4.67,{"$f":"TRUNC(1.62546*SIN(AA253),4)","v":0},{"$f":"TRUNC(1.62546*COS(AA253),4)","v":1.6254},0,{"$f":"AB253*AD253","v":7.590618},7.590618,0]
[{"$nulls":8},1,30,{"$f":"RADIANS(J254)","v":0.5235987755982988},336,0.8127,1.4076,0,{"$f":"L254*N254","v":472.9536},472.9536,0,{"$nulls":6},1,30,{"$f":"RADIANS(Z254)","v":0.5235987755982988},2.16,0.8127,1.4076,0,{"$f":"AB254*AD254","v":3.040416},3.040416,0]
[{"$nulls":8},2,60,1.0471975511965976,340,1.4076,0.8127,0,276.318,276.318,0,{"$nulls":6},2,60,1.0471975511965976,4.67,1.4076,0.8127,0,3.795309,3.795309,0]
[{"$nulls":6},1,"p",3,90,1.5707963267948966,336,1.6254,0,0,0,0,0,{"$nulls":4},1,"p",3,90,1.5707963267948966,2.16,1.6254,0,0,0,0,0]
[{"$nulls":8},4,120,2.0943951023931953,340,1.4076,-0.8127,0,-276.318,-276.318,0,{"$nulls":6},4,120,2.0943951023931953,4.67,1.4076,-0.8127,0,-3.795309,-3.795309,0]
[{"$nulls":8},5,150,2.6179938779914944,336,0.8127,-1.4076,0,-472.9536,-472.9536,0,{"$nulls":6},5,150,2.6179938779914944,2.16,0.8127,-1.4076,0,-3.040416,-3.040416,0]
[{"$nulls":6},2,"n",6,180,3.141592653589793,340,0,-1.6254,0,-552.636,-552.636,0,{"$nulls":4},2,"n",6,180,3.141592653589793,4.67,0,-1.6254,0,-7.590618,-7.590618,0]
[{"$nulls":8},7,210,3.6651914291880923,336,-0.8127,-1.4076,0,-472.9536,-472.9536,0,{"$nulls":6},7,210,3.6651914291880923,2.16,-0.8127,-1.4076,0,-3.040416,-3.040416,0]
[{"$nulls":8},8,240,4.1887902047863905,340,-1.4076,-0.8127,0,-276.318,-276.318,0,{"$nulls":6},8,240,4.1887902047863905,4.67,-1.4076,-0.8127,0,-3.795309,-3.795309,0]
[{"$nulls":6},3,"p",9,270,4.71238898038469,336,-1.6254,0,0,0,0,0,{"$nulls":4},3,"p",9,270,4.71238898038469,2.16,-1.6254,0,0,0,0,0]
[{"$nulls":8},10,300,5.235987755982989,340,-1.4076,0.8127,0,276.318,276.318,0,{"$nulls":6},10,300,5.235987755982989,4.67,-1.4076,0.8127,0,3.795309,3.795309,0]
[{"$nulls":8},11,330,5.759586531581287,336,-0.8127,1.4076,0,472.9536,472.9536,0,{"$nulls":6},11,330,5.759586531581287,2.16,-0.8127,1.4076,0,3.040416,3.040416,0]
[{"$nulls":11},{"$f":"SUM(L235:L264)","v":10140},{"$nulls":3},{"$f":"SUM(P235:P264)","v":0},{"$f":"SUM(Q235:Q264)","v":0},{"$f":"SUM(R235:R264)","v":0},{"$nulls":9},{"$f":"SUM(AB235:AB264)","v":102.44999999999999},{"$nulls":3},{"$f":"SUM(AF235:AF264)","v":0},{"$f":"SUM(AG235:AG264)","v":0},{"$f":"SUM(AH235:AH264)","v":0}]
[{"$nulls":14},"Coordinates",{"$nulls":15},"Coordinates"]
[{"$nulls":5},"Radius of Li-6=",2.423,{"$nulls":6},"Center of Mass","x=",{"$f":"P265/L265","v":0},{"$nulls":5},"Radius of Li-6=",2.423,{"$nulls":6},"Center of Mass","x=",{"$f":"AF265/AB265","v":0}]
[{"$nulls":5},"Radius of He-4=",1.6253673584762307,{"$nulls":7},"y=",{"$f":"Q265/L265","v":0},{"$nulls":5},"Radius of He-4=",1.6253673584762307,{"$nulls":7},"y=",{"$f":"AG265/AB265","v":0}]
[{"$nulls":6},{"$f":"G267-G268","v":0.7976326415237693},{"$nulls":7},"z=",{"$f":"R265/L265","v":0},{"$nulls":6},{"$f":"W267-W268","v":0.7976326415237693},{"$nulls":7},"z=",{"$f":"AH265/AB265","v":0}]
[{"$nulls":10},"AQM predicted r (precessing)=","(same)",null,"experimental radius=",null,2.4277,{"$nulls":10},"AQM predicted r (precessing)=","(same)",null,"experimental radius=",null,2.4277]
[{"$nulls":10},"% agreement=",{"$nulls":3},"AQM predicted r (tumbling)=",{"$f":"SQRT((M246-P267)^2+(N246-P268)^2+(O246-P269)^2)","v":2.4229325145368783},"COM to quark 10  (farthest)",{"$nulls":9},"% agreement=",{"$nulls":3},"AQM predicted r (tumbling)=",{"$f":"SQRT((AC246-AF267)^2+(AD246-AF268)^2+(AE246-AF269)^2)","v":2.4229325145368783},"COM to quark 10  (farthest)"]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P271-P270)/((P270+P271)/2)","v":{"v":1.9657170271440666E-3,"d":"0.2%"}},{"$nulls":13},"% agreement=",null,{"$f":"ABS(AF271-AF270)/((AF270+AF271)/2)","v":{"v":1.9657170271440666E-3,"d":"0.2%"}}]
[]
["B-11",{"$nulls":3},"B-11 as an 18-gon+2nd strand"]
[{"$nulls":4},"a=0.8414 fm (proton radius)"]
[{"$nulls":4},"circumradius of 18-gon = 2.423 fm"]
[{"$nulls":4},"angle=20 degrees"]
[]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":3},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J282)","v":0},336,{"$f":"TRUNC(2.423*SIN(K282),4)","v":0},{"$f":"TRUNC(2.423*COS(K282),4)","v":2.423},0,{"$f":"L282*M282","v":0},{"$f":"L282*N282","v":814.128},{"$f":"L282*O282","v":0},{"$nulls":4},1,0,"p",0,0,{"$f":"RADIANS(AA282)","v":0},2.16,{"$f":"TRUNC(2.423*SIN(AB282),4)","v":0},{"$f":"TRUNC(2.423*COS(AB282),4)","v":2.423},0,{"$f":"AC282*AD282","v":0},{"$f":"AC282*AE282","v":5.2336800000000006},{"$f":"AC282*AF282","v":0},{"$nulls":3},1,0,"p",0,0,{"$f":"RADIANS(AQ282)","v":0},2.16,{"$f":"TRUNC(2.423*SIN(AR282),4)","v":0},{"$f":"TRUNC(2.423*COS(AR282),4)","v":2.423},0,{"$f":"AS282*AT282","v":0},{"$f":"AS282*AU282","v":5.2336800000000006},{"$f":"AS282*AV282","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J283)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K283),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K283),4)","v":2.2768},0,281.758,774.1120000000001,0,{"$nulls":7},1,20,{"$f":"RADIANS(AA283)","v":0.3490658503988659},4.67,{"$f":"TRUNC(2.423*SIN(AB283),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(AB283),4)","v":2.2768},0,3.8700289999999997,10.632656,0,{"$nulls":6},1,20,{"$f":"RADIANS(AQ283)","v":0.3490658503988659},4.67,{"$f":"TRUNC(2.423*SIN(AR283),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(AR283),4)","v":2.2768},0,3.8700289999999997,10.632656,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0,{"$nulls":7},2,40,0.6981317007977318,2.16,1.5574,1.8561,0,3.363984,4.009176,0,{"$nulls":6},2,40,0.6981317007977318,2.16,1.5574,1.8561,0,3.363984,4.009176,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0,{"$nulls":5},1,"n",3,60,1.0471975511965976,4.67,2.0983,1.2115,0,9.799061,5.657705,0,{"$nulls":4},1,"n",3,60,1.0471975511965976,4.67,2.0983,1.2115,0,9.799061,5.657705,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0,{"$nulls":7},4,80,1.3962634015954636,2.16,2.3861,0.4207,0,5.153976,0.9087120000000001,0,{"$nulls":6},4,80,1.3962634015954636,2.16,2.3861,0.4207,0,5.153976,0.9087120000000001,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0,{"$nulls":7},5,100,1.7453292519943295,4.67,2.3861,-0.4207,0,11.143087,-1.964669,0,{"$nulls":6},5,100,1.7453292519943295,4.67,2.3861,-0.4207,0,11.143087,-1.964669,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0,{"$nulls":5},2,"p",6,120,2.0943951023931953,2.16,2.0983,-1.2115,0,4.532328000000001,-2.6168400000000003,0,{"$nulls":4},2,"p",6,120,2.0943951023931953,2.16,2.0983,-1.2115,0,4.532328000000001,-2.6168400000000003,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0,{"$nulls":7},7,140,2.443460952792061,4.67,1.5574,-1.8561,0,7.273058,-8.667987,0,{"$nulls":6},7,140,2.443460952792061,4.67,1.5574,-1.8561,0,7.273058,-8.667987,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0,{"$nulls":7},8,160,2.792526803190927,2.16,0.8287,-2.2768,0,1.789992,-4.9178880000000005,0,{"$nulls":6},8,160,2.792526803190927,2.16,0.8287,-2.2768,0,1.789992,-4.9178880000000005,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0,{"$nulls":5},3,"n",9,180,3.141592653589793,4.67,0,-2.423,0,0,-11.31541,0,{"$nulls":4},3,"n",9,180,3.141592653589793,4.67,0,-2.423,0,0,-11.31541,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0,{"$nulls":7},10,200,3.490658503988659,2.16,-0.8287,-2.2768,0,-1.789992,-4.9178880000000005,0,{"$nulls":6},10,200,3.490658503988659,2.16,-0.8287,-2.2768,0,-1.789992,-4.9178880000000005,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0,{"$nulls":7},11,220,3.839724354387525,4.67,-1.5574,-1.8561,0,-7.273058,-8.667987,0,{"$nulls":6},11,220,3.839724354387525,4.67,-1.5574,-1.8561,0,-7.273058,-8.667987,0]
[{"$nulls":3},"Up Quark ",null,null,4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0,{"$nulls":5},4,"p",12,240,4.1887902047863905,2.16,-2.0983,-1.2115,0,-4.532328000000001,-2.6168400000000003,0,{"$nulls":4},4,"p",12,240,4.1887902047863905,2.16,-2.0983,-1.2115,0,-4.532328000000001,-2.6168400000000003,0]
[{"$nulls":3},"Down Quark ",{"$nulls":4},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0,{"$nulls":7},13,260,4.537856055185257,4.67,-2.3861,-0.4207,0,-11.143087,-1.964669,0,{"$nulls":6},13,260,4.537856055185257,4.67,-2.3861,-0.4207,0,-11.143087,-1.964669,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0,{"$nulls":7},14,280,4.886921905584122,2.16,-2.3861,0.4207,0,-5.153976,0.9087120000000001,0,{"$nulls":6},14,280,4.886921905584122,2.16,-2.3861,0.4207,0,-5.153976,0.9087120000000001,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0,{"$nulls":5},5,"n",15,300,5.235987755982989,4.67,-2.0983,1.2115,0,-9.799061,5.657705,0,{"$nulls":4},5,"n",15,300,5.235987755982989,4.67,-2.0983,1.2115,0,-9.799061,5.657705,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0,{"$nulls":7},16,320,5.585053606381854,2.16,-1.5574,1.8561,0,-3.363984,4.009176,0,{"$nulls":6},16,320,5.585053606381854,2.16,-1.5574,1.8561,0,-3.363984,4.009176,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0,{"$nulls":7},17,340,5.934119456780721,4.67,-0.8287,2.2768,0,-3.8700289999999997,10.632656,0,{"$nulls":6},17,340,5.934119456780721,4.67,-0.8287,2.2768,0,-3.8700289999999997,10.632656,0]
[{"$nulls":5},"1C",0,"n",0,0,{"$f":"RADIANS(J300)","v":0},340,{"$f":"TRUNC(1.62546*SIN(K300),4)","v":0},{"$f":"TRUNC(1.62546*COS(K300),4)","v":1.6254},0,{"$f":"L300*N300","v":552.636},552.636,0,{"$nulls":4},2,0,"n",0,0,0,4.67,0,2.423,0.9616,0,11.31541,4.490672,{"$nulls":3},"1C",0,"n",0,0,{"$f":"RADIANS(AQ300)","v":0},4.67,{"$f":"TRUNC(1.62546*SIN(AR300),4)","v":0},{"$f":"TRUNC(1.62546*COS(AR300),4)","v":1.6254},0,{"$f":"AS300*AU300","v":7.590618},7.590618,0]
[{"$nulls":8},1,30,{"$f":"RADIANS(J301)","v":0.5235987755982988},336,0.8127,1.4076,0,{"$f":"L301*N301","v":472.9536},472.9536,0,{"$nulls":7},1,20,0.3490658503988659,2.16,0.8287,2.2768,0.9616,1.789992,4.9178880000000005,2.0770560000000002,{"$nulls":6},1,30,{"$f":"RADIANS(AQ301)","v":0.5235987755982988},2.16,0.8127,1.4076,0,{"$f":"AS301*AU301","v":3.040416},3.040416,0]
[{"$nulls":8},2,60,1.0471975511965976,340,1.4076,0.8127,0,276.318,276.318,0,{"$nulls":7},2,40,0.6981317007977318,4.67,1.5574,1.8561,0.9616,7.273058,8.667987,4.490672,{"$nulls":6},2,60,1.0471975511965976,4.67,1.4076,0.8127,0,3.795309,3.795309,0]
[{"$nulls":6},1,"p",3,90,1.5707963267948966,336,1.6254,0,0,0,0,0,{"$nulls":5},1,"p",3,60,1.0471975511965976,2.16,2.0983,1.2115,0.9616,4.532328000000001,2.6168400000000003,2.0770560000000002,{"$nulls":4},1,"p",3,90,1.5707963267948966,2.16,1.6254,0,0,0,0,0]
[{"$nulls":8},4,120,2.0943951023931953,340,1.4076,-0.8127,0,-276.318,-276.318,0,{"$nulls":7},4,80,1.3962634015954636,4.67,2.3861,0.4207,0.9616,11.143087,1.964669,4.490672,{"$nulls":6},4,120,2.0943951023931953,4.67,1.4076,-0.8127,0,-3.795309,-3.795309,0]
[{"$nulls":8},5,150,2.6179938779914944,336,0.8127,-1.4076,0,-472.9536,-472.9536,0,{"$nulls":7},5,100,1.7453292519943295,2.16,2.3861,-0.4207,0.9616,5.153976,-0.9087120000000001,2.0770560000000002,{"$nulls":6},5,150,2.6179938779914944,2.16,0.8127,-1.4076,0,-3.040416,-3.040416,0]
[{"$nulls":6},2,"n",6,180,3.141592653589793,340,0,-1.6254,0,-552.636,-552.636,0,{"$nulls":5},2,"n",6,120,2.0943951023931953,4.67,2.0983,-1.2115,0.9616,9.799061,-5.657705,4.490672,{"$nulls":4},2,"n",6,180,3.141592653589793,4.67,0,-1.6254,0,-7.590618,-7.590618,0]
[{"$nulls":8},7,210,3.6651914291880923,336,-0.8127,-1.4076,0,-472.9536,-472.9536,0,{"$nulls":7},7,140,2.443460952792061,2.16,1.5574,-1.8561,0.9616,3.363984,-4.009176,2.0770560000000002,{"$nulls":6},7,210,3.6651914291880923,2.16,-0.8127,-1.4076,0,-3.040416,-3.040416,0]
[{"$nulls":8},8,240,4.1887902047863905,340,-1.4076,-0.8127,0,-276.318,-276.318,0,{"$nulls":7},8,160,2.792526803190927,4.67,0.8287,-2.2768,0.9616,3.8700289999999997,-10.632656,4.490672,{"$nulls":6},8,240,4.1887902047863905,4.67,-1.4076,-0.8127,0,-3.795309,-3.795309,0]
[{"$nulls":6},3,"p",9,270,4.71238898038469,336,-1.6254,0,0,0,0,0,{"$nulls":5},4,"n",12,240,4.1887902047863905,4.67,-2.0983,-1.2115,0.9616,-9.799061,-5.657705,4.490672,{"$nulls":4},3,"p",9,270,4.71238898038469,2.16,-1.6254,0,0,0,0,0]
[{"$nulls":8},10,300,5.235987755982989,340,-1.4076,0.8127,0,276.318,276.318,0,{"$nulls":7},13,260,4.537856055185257,2.16,-2.3861,-0.4207,0.9616,-5.153976,-0.9087120000000001,2.0770560000000002,{"$nulls":6},10,300,5.235987755982989,4.67,-1.4076,0.8127,0,3.795309,3.795309,0]
[{"$nulls":8},11,330,5.759586531581287,336,-0.8127,1.4076,0,472.9536,472.9536,0,{"$nulls":7},14,280,4.886921905584122,4.67,-2.3861,0.4207,0.9616,-11.143087,1.964669,4.490672,{"$nulls":6},11,330,5.759586531581287,2.16,-0.8127,1.4076,0,3.040416,3.040416,0]
[{"$nulls":5},"1C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(J312)","v":1.5707963267948966},340,0.84,0,{"$f":"0.9616*0.5","v":0.4808},{"$f":"L312*M312","v":285.59999999999997},0,163.472,{"$nulls":5},5,"p",15,300,5.235987755982989,2.16,-2.0983,1.2115,0.9616,-4.532328000000001,2.6168400000000003,2.0770560000000002,{"$nulls":3},"1C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(AQ312)","v":1.5707963267948966},4.67,0.84,0,{"$f":"0.9616*0.5","v":0.4808},{"$f":"AS312*AT312","v":3.9227999999999996},0,2.245336]
[{"$nulls":8},"C","c","c",336,0,0,0.4808,0,0,161.5488,{"$nulls":7},16,320,5.585053606381854,4.67,-1.5574,1.8561,0.9616,-7.273058,8.667987,4.490672,{"$nulls":6},"C","c","c",2.16,0,0,0.4808,0,0,1.0385280000000001]
[{"$nulls":8},"C - 0.84(x)",270,{"$f":"RADIANS(J314)","v":4.71238898038469},340,-0.84,0,0.4808,-285.59999999999997,0,163.472,{"$nulls":7},17,340,5.934119456780721,2.16,-0.8287,2.2768,0.9616,-1.789992,4.9178880000000005,2.0770560000000002,{"$nulls":6},"C - 0.84(x)",270,{"$f":"RADIANS(AQ314)","v":4.71238898038469},4.67,-0.84,0,0.4808,-3.9227999999999996,0,2.245336]
[{"$nulls":11},{"$f":"SUM(L282:L314)","v":11156},{"$nulls":3},{"$f":"SUM(P282:P314)","v":0},{"$f":"SUM(Q282:Q314)","v":1.7053025658242404E-13},{"$f":"SUM(R282:R314)","v":488.4928},{"$nulls":10},{"$f":"SUM(AC282:AC314)","v":113.94999999999999},{"$nulls":3},{"$f":"SUM(AG282:AG314)","v":7.234013000000003},{"$f":"SUM(AH282:AH314)","v":19.875512},{"$f":"SUM(AI282:AI314)","v":50.46476800000001},{"$nulls":9},{"$f":"SUM(AS282:AS314)","v":113.94999999999999},{"$nulls":3},{"$f":"SUM(AW282:AW314)","v":0},{"$f":"SUM(AX282:AX314)","v":-8.881784197001252e-16},{"$f":"SUM(AY282:AY314)","v":5.5292}]
[{"$nulls":14},"Coordinates",{"$nulls":16},"Coordinates",{"$nulls":15},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P315/L315","v":0},{"$nulls":14},"Center of Mass","x=",{"$f":"AG315/AC315","v":0.06348409828872316},{"$nulls":13},"Center of Mass","x=",{"$f":"AW315/AS315","v":0}]
[{"$nulls":14},"y=",{"$f":"Q315/L315","v":1.5285967782576555E-17},{"$nulls":15},"y=",{"$f":"AH315/AC315","v":0.1744230978499342},{"$nulls":14},"y=",{"$f":"AX315/AS315","v":-7.794457390962048e-18}]
[{"$nulls":14},"z=",{"$f":"R315/L315","v":0.04378745069917533},{"$nulls":15},"z=",{"$f":"AI315/AC315","v":0.4428676437033788},{"$nulls":14},"z=",{"$f":"AY315/AS315","v":0.04852303641948224}]
[{"$nulls":10},"AQM predicted r (precessing)=","(same)",null,"experimental radius=",null,2.406,{"$nulls":11},"AQM predicted r (precessing)=",{"$f":"SQRT((AD300-AD291)^2+(AE300-AE291)^2+(AF300-AF291)^2)/2","v":2.4702424253501922},null,"experimental radius=",null,2.406,{"$nulls":10},"AQM predicted r (precessing)=","(same)",null,"experimental radius=",null,2.406]
[{"$nulls":10},"% agreement=",{"$nulls":3},"AQM predicted r (tumbling)=",{"$f":"SQRT((M292-P317)^2+(N292-P318)^2+(O292-P319)^2)","v":2.4233198861971843},"COM to quark 8  (farthest)",{"$nulls":10},"% agreement=",{"$f":"AC320/AG320","v":{"v":1.0267009249169543,"d":"102.7%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((AD292-AG317)^2+(AE292-AG318)^2+(AF292-AG319)^2)","v":2.6458682677925736},"COM to quark 8  (farthest)",{"$nulls":9},"% agreement=",{"$nulls":3},"AQM predicted r (tumbling)=",{"$f":"SQRT((AT292-AW317)^2+(AU292-AW318)^2+(AV292-AW319)^2)","v":2.423410079838608},"COM to quark 8  (farthest)"]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P321-P320)/((P320+P321)/2)","v":{"v":0.007172805531763021,"d":"0.7%"}},{"$nulls":14},"% agreement=",null,{"$f":"AG321/AG320","v":{"v":1.0996958719004877,"d":"110.0%"}},{"$nulls":13},"% agreement=",null,{"$f":"ABS(AW321-AW320)/((AW320+AW321)/2)","v":{"v":0.007210023398629868,"d":"0.7%"}}]
[]
[]
[]
[]
[]
["C-12",{"$nulls":3},"C-12 as a double 18-gon, the distance between 18-gons was set at 0.9616 fm  (In other words, carbon was used to determine distance between strands)"]
[{"$nulls":4},"a=0.8414 fm (proton radius)"]
[{"$nulls":4},"circumradius of 18-gon = 2.423 fm"]
[{"$nulls":4},"angle=20 degrees"]
[]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J336)","v":0},336,{"$f":"TRUNC(2.423*SIN(K336),4)","v":0},{"$f":"TRUNC(2.423*COS(K336),4)","v":2.423},0,{"$f":"L336*M336","v":0},{"$f":"L336*N336","v":814.128},{"$f":"L336*O336","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J337)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K337),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K337),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":11},{"$f":"SUM(L336:L371)","v":12168},{"$nulls":3},{"$f":"SUM(P336:P371)","v":0},{"$f":"SUM(Q336:Q371)","v":0},{"$f":"SUM(R336:R371)","v":5850.3744000000015}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P372/L372","v":0}]
[{"$nulls":14},"y=",{"$f":"Q372/L372","v":0}]
[{"$nulls":14},"z=",{"$f":"R372/L372","v":0.4808000000000001}]
[{"$nulls":10},"AQM predicted r (precessing)=","(same)",null,"experimental radius=",null,2.4702]
[{"$nulls":10},"% agreement=",{"$nulls":3},"AQM predicted r (tumbling)=",{"$f":"SQRT((M344-P374)^2+(N344-P375)^2+(O344-P376)^2)","v":2.4701681258570236},"COM to quark 8  (farthest)"]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P378-P377)/((P377+P378)/2)","v":{"v":1.2903549761702425E-5,"d":"0.0%"}}]
[]
[]
["C-13"]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J386)","v":0},336,{"$f":"TRUNC(2.423*SIN(K386),4)","v":0},{"$f":"TRUNC(2.423*COS(K386),4)","v":2.423},0,{"$f":"L386*M386","v":0},{"$f":"L386*N386","v":814.128},{"$f":"L386*O386","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J387)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K387),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K387),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[null,"Up Quark ",{"$nulls":4},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[null,"Down Quark ",{"$nulls":6},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},"2C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(J404)","v":1.5707963267948966},340,0.84,0,0.9616,285.59999999999997,0,326.944]
[{"$nulls":8},"C","c","c",336,0,0,0.9616,0,0,323.0976]
[{"$nulls":8},"C - 0.84(x)",270,{"$f":"RADIANS(J406)","v":4.71238898038469},340,-0.84,0,0.9616,-285.59999999999997,0,326.944]
[{"$nulls":5},2,0,"n",0,0,0,340,{"$f":"TRUNC(2.423*SIN(K407),4)","v":0},{"$f":"TRUNC(2.423*COS(K407),4)","v":2.423},0.9616,0,823.82,326.944]
[{"$nulls":8},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":11},{"$f":"SUM(L386:L424)","v":13184},{"$nulls":3},{"$f":"SUM(P386:P424)","v":0},{"$f":"SUM(Q386:Q424)","v":0},{"$f":"SUM(R386:R424)","v":6827.3600000000015}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P425/L425","v":0}]
[{"$nulls":4},"q1(0) - q5(1)=",{"$f":"SQRT((M386-M412)^2+(N386-N412)^2+(O386-O412)^2)","v":3.8346808811164457},null,"q1 to q7=",{"$f":"SQRT((M387-M393)^2+(N387-N393)^2+(O387-0)^2)","v":4.196649389691734},{"$nulls":5},"y=",{"$f":"Q425/L425","v":0}]
[{"$nulls":8},{"$f":"4*0.84","v":3.36},{"$nulls":5},"z=",{"$f":"R425/L425","v":0.5178519417475729}]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M407-M395)^2+(N407-N395)^2+(O407-O395)^2)/2","v":2.4702424253501922},null,"experimental radius=",null,2.4614]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L430-P430)/((P430+L430)/2)","v":{"v":0.003585996139841596,"d":"0.4%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M386-P427)^2+(N386-P428)^2+(O386-P429)^2)","v":2.4777206528524824},"COM to quark 8  (farthest)"]
[{"$nulls":15},{"$f":"ABS(P431-P430)/((P430+P431)/2)","v":{"v":0.006608728152067713,"d":"0.7%"}}]
[]
[]
[]
[]
[]
[]
["N-14",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J441)","v":0},336,{"$f":"TRUNC(2.423*SIN(K441),4)","v":0},{"$f":"TRUNC(2.423*COS(K441),4)","v":2.423},0,{"$f":"L441*M441","v":0},{"$f":"L441*N441","v":814.128},{"$f":"L441*O441","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J442)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K442),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K442),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[null,"Up Quark ",{"$nulls":6},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[null,"Down Quark ",{"$nulls":6},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},3,0,"p",0,0,0,336,0,2.423,{"$f":"0.9616*2","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},1,20,0.3490658503988659,340,0.8287,2.2768,{"$f":"0.9616*2","v":1.9232},281.758,774.1120000000001,653.888]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":11},{"$f":"SUM(L441:L482)","v":14196},{"$nulls":3},{"$f":"SUM(P441:P482)","v":-713.4220000000003},{"$f":"SUM(Q441:Q482)","v":4021.5612000000006},{"$f":"SUM(R441:R482)","v":9750.624000000003}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P483/L483","v":-0.05025514229360385}]
[{"$nulls":14},"y=",{"$f":"Q483/L483","v":0.28328833474218096}]
[{"$nulls":14},"z=",{"$f":"R483/L483","v":0.686857142857143},null,null,{"$f":"P489-P488","v":0.2343427238956317}]
[{"$nulls":10},"AQM predicted r (intermediate axis precession)=",{"$f":"SQRT((M477-M450)^2+(N477-N450)^2+(O477-O450)^2)/2","v":2.6068378468942024},null,"experimental radius=",null,2.5582]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L488-P488)/((P488+L488)/2)","v":{"v":0.01883349099695333,"d":"1.9%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M450-P485)^2+(N450-P486)^2+(O450-P487)^2)","v":2.7925427238956315},"COM to quark 8  (farthest)"]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P489-P488)/((P488+P489)/2)","v":{"v":0.08759259638819542,"d":"8.8%"}}]
[]
["N-15",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J494)","v":0},336,{"$f":"TRUNC(2.423*SIN(K494),4)","v":0},{"$f":"TRUNC(2.423*COS(K494),4)","v":2.423},0,{"$f":"L494*M494","v":0},{"$f":"L494*N494","v":814.128},{"$f":"L494*O494","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J495)","v":0.3490658503988659},340,0.8287,2.2768,0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[null,"Up Quark ",{"$nulls":3},1,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[null,"Down Quark ",{"$nulls":6},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},2,0,"p",0,0,0,336,0,2.423,{"$f":"0.9616*2","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},1,20,0.3490658503988659,340,0.8287,2.2768,{"$f":"0.9616*2","v":1.9232},281.758,774.1120000000001,653.888]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":11},{"$f":"SUM(L494:L538)","v":15212},{"$nulls":3},{"$f":"SUM(P494:P538)","v":1613.0035999999998},{"$f":"SUM(Q494:Q538)","v":4431.7884},{"$f":"SUM(R494:R538)","v":11704.595200000005}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P539/L539","v":0.106034946095188}]
[{"$nulls":14},"y=",{"$f":"Q539/L539","v":0.29133502498027875}]
[{"$nulls":14},"z=",{"$f":"R539/L539","v":0.769431711806469}]
[{"$nulls":10},"AQM predicted r (intermediate axis precession)=",{"$f":"SQRT((M531-M504)^2+(N531-N504)^2+(O531-O504)^2)/2","v":2.6067674407204033},null,"experimental radius=",null,2.6058,null,null,{"$f":"P545-P544","v":0.233402719975357}]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L544-P544)/((P544+L544)/2)","v":{"v":3.7119547378738183E-4,"d":"0.0%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M504-P541)^2+(N504-P542)^2+(O504-P543)^2)","v":2.839202719975357},"COM to quark 10  (farthest)"]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P545-P544)/((P544+P545)/2)","v":{"v":0.08573098379514248,"d":"8.6%"}}]
[]
["O-16",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J550)","v":0},336,{"$f":"TRUNC(2.423*SIN(K550),4)","v":0},{"$f":"TRUNC(2.423*COS(K550),4)","v":2.423},0,{"$f":"L550*M550","v":0},{"$f":"L550*N550","v":814.128},{"$f":"L550*O550","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J551)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K551),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K551),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[null,"Up Quark ",{"$nulls":6},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[null,"Down Quark ",{"$nulls":6},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},3,0,"p",0,0,0,336,0,2.423,{"$f":"0.9616*2","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},1,20,0.3490658503988659,340,0.8287,2.2768,{"$f":"0.9616*2","v":1.9232},281.758,774.1120000000001,653.888]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":11},{"$f":"SUM(L550:L597)","v":16224},{"$nulls":3},{"$f":"SUM(P550:P597)","v":-705.0288},{"$f":"SUM(Q550:Q597)","v":4023.0416000000005},{"$f":"SUM(R550:R597)","v":13650.873600000006}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P598/L598","v":-0.04345591715976332}]
[{"$nulls":14},"y=",{"$f":"Q598/L598","v":0.24796854043392508}]
[{"$nulls":14},"z=",{"$f":"R598/L598","v":0.8414000000000004},null,null,{"$f":"P604-P603","v":0.10144746194411791}]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M586-M559)^2+(N586-N559)^2+(O586-O559)^2)/2","v":2.6068378468942024},null,"experimental radius=",null,2.6991]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L603-P603)/((P603+L603)/2)","v":{"v":0.03477694453575356,"d":"3.5%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M558-P600)^2+(N558-P601)^2+(O558-P602)^2)","v":2.800547461944118},"COM to quark 5, Ring 2  (farthest)",null,null,2.7560983568030286]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P604-P603)/((P603+P604)/2)","v":{"v":0.03689235088107134,"d":"3.7%"}},{"$nulls":3},2.6068378468942024]
[{"$nulls":19},2.800547461944118]
[]
["O-17",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J610)","v":0},336,{"$f":"TRUNC(2.423*SIN(K610),4)","v":0},{"$f":"TRUNC(2.423*COS(K610),4)","v":2.423},0,{"$f":"L610*M610","v":0},{"$f":"L610*N610","v":814.128},{"$f":"L610*O610","v":0}]
[{"$nulls":8},1,20,{"$f":"RADIANS(J611)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K611),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K611),4)","v":2.2768},0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},2,40,0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p",3,60,1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},4,80,1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[null,"Up Quark ",{"$nulls":6},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[null,"Down Quark ",{"$nulls":4},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},16,320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},17,340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},3,0,"p",0,0,0,336,0,2.423,{"$f":"0.9616*2","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},1,20,0.3490658503988659,340,0.8287,2.2768,{"$f":"0.9616*2","v":1.9232},281.758,774.1120000000001,653.888]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952,{"$f":"SUM(P661:R661)","v":15894.999600000008}]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":11},{"$f":"SUM(L610:L660)","v":17240},{"$nulls":3},{"$f":"SUM(P610:P660)","v":-1512.9880000000005},{"$f":"SUM(Q610:Q660)","v":1803.1428},{"$f":"SUM(R610:R660)","v":15604.844800000008}]
[{"$nulls":11},{"$f":"25*2.16+26*4.67","v":175.42000000000002},null,null,"Coordinates"]
[{"$nulls":13},"Center of Mass","x=",{"$f":"P661/L661","v":-0.08776032482598611}]
[{"$nulls":14},"y=",{"$f":"Q661/L661","v":0.10459064965197216},null,null,{"$f":"P667-P666","v":0.03303073700678505}]
[{"$nulls":14},"z=",{"$f":"R661/L661","v":0.9051534106728543}]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M646-M619)^2+(N646-N619)^2+(O646-O619)^2)/2","v":2.6068378468942024},null,"experimental radius=",null,2.6932]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L666-P666)/((P666+L666)/2)","v":{"v":0.03258925902063339,"d":"3.3%"}},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M651-P663)^2+(N651-P664)^2+(O651-P665)^2)","v":2.726230737006785},"COM to quark 6  (farthest)",null,null,2.726230737006785]
[{"$nulls":13},"% agreement=",null,{"$f":"ABS(P667-P666)/((P666+P667)/2)","v":{"v":0.012189744129852397,"d":"1.2%"}}]
[]
[]
["O-18"]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[{"$nulls":38},2.16]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J674)","v":0},336,{"$f":"TRUNC(2.423*SIN(K674),4)","v":0},{"$f":"TRUNC(2.423*COS(K674),4)","v":2.423},0,{"$f":"L674*M674","v":0},{"$f":"L674*N674","v":814.128},{"$f":"L674*O674","v":0},{"$nulls":20},4.67]
[{"$nulls":8},1,20,{"$f":"RADIANS(J675)","v":0.3490658503988659},340,{"$f":"TRUNC(2.423*SIN(K675),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K675),4)","v":2.2768},0,281.758,774.1120000000001,0,{"$nulls":20},2.16]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0,{"$nulls":20},4.67]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0,{"$nulls":20},2.16]
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[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0,{"$nulls":20},2.16]
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[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0,{"$nulls":20},2.16]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0,{"$nulls":20},4.67]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0,{"$nulls":20},2.16]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0,{"$nulls":20},4.67]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0,{"$nulls":20},2.16]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0,{"$nulls":20},4.67]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0,{"$nulls":20},2.16]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0,{"$nulls":20},4.67]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0,{"$nulls":20},2.16]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0,{"$nulls":20},4.67]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0,{"$nulls":20},4.67]
[{"$nulls":5},"1C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(J692)","v":1.5707963267948966},340,0.84,0,0,{"$f":"L692*M692","v":285.59999999999997},{"$f":"L692*N692","v":0},{"$f":"L692*O692","v":0},{"$nulls":20},2.16]
[{"$nulls":8},"C","c","c",336,0,0,0,{"$f":"L693*M693","v":0},{"$f":"L693*N693","v":0},{"$f":"L693*O693","v":0},{"$nulls":20},4.67]
[{"$nulls":8},"C - 0.84(x)",270,{"$f":"RADIANS(J694)","v":4.71238898038469},340,-0.84,0,0,{"$f":"L694*M694","v":-285.59999999999997},{"$f":"L694*N694","v":0},{"$f":"L694*O694","v":0},{"$nulls":20},2.16]
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[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976,{"$nulls":20},2.16]
[{"$nulls":3},"Up Quark ",{"$nulls":4},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944,{"$nulls":20},4.67]
[{"$nulls":3},"Down Quark ",{"$nulls":4},11,220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976,{"$nulls":20},2.16]
[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944,{"$nulls":20},4.67]
[{"$nulls":8},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976,{"$nulls":20},2.16]
[{"$nulls":8},14,280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944,{"$nulls":20},2.16]
[{"$nulls":6},5,"p",15,300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976,{"$nulls":20},4.67]
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[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,1.9232,0,-823.82,653.888,{"$nulls":20},4.67]
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[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":11},{"$f":"SUM(L674:L727)","v":18256},{"$nulls":3},{"$f":"SUM(P674:P727)","v":-1512.9880000000005},{"$f":"SUM(Q674:Q727)","v":1803.1428},{"$f":"SUM(R674:R727)","v":15604.844800000008}]
[{"$nulls":12},"Center of Mass","x=",{"$f":"P728/L728","v":-0.08287620508326032}]
[{"$nulls":13},"y=",{"$f":"Q728/L728","v":0.09876987291849255}]
[{"$nulls":13},"z=",{"$f":"R728/L728","v":0.854778965819457}]
[{"$nulls":9},"AQM predicted r (precessing)=",{"$f":"SQRT((M684-M714)^2+(N684-N714)^2+(O684-O714)^2)/2","v":2.6067674407204033},null,"experimental radius=",null,2.7726,{"$nulls":3},2.716875930803723]
[{"$nulls":9},"% agreement=",{"$f":"ABS(K732-O732)/((O732+K732)/2)","v":{"v":0.061655040711399545,"d":"6.2%"}},null,"AQM predicted r (tumbling)=",null,{"$f":"SQRT((O729-M719)^2+(O730-N719)^2+(O731-O719)^2)","v":2.7400210334243376},"COM to quark 7  (farthest)",null,null,2.728059156992799]
[{"$nulls":12},"% agreement=",null,{"$f":"ABS(O733-O732)/((O732+O733)/2)","v":{"v":0.011819773707689522,"d":"1.2%"}},{"$nulls":3},2.7400210334243376]
[]
[]
[]
["F-19"]
[]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
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[{"$nulls":8},5,100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976,{"$nulls":7},5,100,1.7453292519943295,2.16,2.3861,-0.4207,0.9616,5.153976,-0.9087120000000001,2.0770560000000002]
[{"$nulls":6},2,"n",6,120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944,{"$nulls":5},2,"n",6,120,2.0943951023931953,4.67,2.0983,-1.2115,0.9616,9.799061,-5.657705,4.490672]
[{"$nulls":8},7,140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976,{"$nulls":7},7,140,2.443460952792061,2.16,1.5574,-1.8561,0.9616,3.363984,-4.009176,2.0770560000000002]
[{"$nulls":8},8,160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944,{"$nulls":7},8,160,2.792526803190927,4.67,0.8287,-2.2768,0.9616,3.8700289999999997,-10.632656,4.490672]
[{"$nulls":6},3,"p",9,180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976,{"$nulls":5},3,"p",9,180,3.141592653589793,2.16,0,-2.423,0.9616,0,-5.2336800000000006,2.0770560000000002]
[{"$nulls":8},10,200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944,{"$nulls":7},10,200,3.490658503988659,4.67,-0.8287,-2.2768,0.9616,-3.8700289999999997,-10.632656,4.490672]
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[{"$nulls":6},4,"n",12,240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944,{"$nulls":5},4,"n",12,240,4.1887902047863905,4.67,-2.0983,-1.2115,0.9616,-9.799061,-5.657705,4.490672]
[null,"Up Quark",{"$nulls":6},13,260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976,{"$nulls":7},13,260,4.537856055185257,2.16,-2.3861,-0.4207,0.9616,-5.153976,-0.9087120000000001,2.0770560000000002]
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[]
[{"$nulls":13},"Center of Mass Coordinates:"]
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[]
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[{"$nulls":10},"\"Best Fit\" Radius/Structure Predictions for Light Nuclei Ne-20 to Mg-24 based on Alternating Quark Model (Average Agreement = 100%, SD=1.5%)"]
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["Ne-20",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
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[null,"Up Quark",{"$nulls":4},4,"n","12'",240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[null,"Down Quark",{"$nulls":6},"13'",260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
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[{"$nulls":8},"4\"'",80,1.3962634015954636,340,2.3861,0.4207,2.8848000000000003,811.274,143.038,980.8320000000001,{"$nulls":12},0.4207,0.8807]
[{"$nulls":8},"5\"'",100,1.7453292519943295,336,2.3861,-0.4207,2.8848000000000003,801.7296,-141.3552,969.2928,{"$nulls":12},-0.4207,0.0393]
[{"$nulls":11},{"$f":"SUM(L24:L83)","v":20280},{"$nulls":3},{"$f":"SUM(P24:P83)","v":3125.9916},{"$f":"SUM(Q24:Q83)","v":2628.6456000000003},{"$f":"SUM(R24:R83)","v":23401.4976}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":14},"x=",{"$f":"P84/L84","v":0.1541415976331361}]
[{"$nulls":14},"y=",{"$f":"Q84/L84","v":0.1296176331360947}]
[{"$nulls":14},"z=",{"$f":"R84/L84","v":1.1539199999999998}]
[{"$nulls":13},"experimental radius=",null,3.0055]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M34-M79)^2+(N34-N79)^2+(O34-O79)^2)/2","v":2.819765892764859},null,null,"AQM predicted r (tumbling)=",{"$f":"SQRT((M35-P86)^2+(N35-P87)^2+(O35-P88)^2)","v":2.8642591582076165},"COM to quark 11",null,{"$f":"SQRT((P35-S86)^2+(Q35-S87)^2+(R35-S88)^2)","v":823.7970549425387}]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L90-P89)/((P90+L90)/2)","v":{"v":0.06535302204671466,"d":"6.5%"}},null,null,"% agreement=",{"$f":"ABS(P90-P89)/((P89+P90)/2)","v":{"v":0.04812491892274257,"d":"4.8%"}},null,null,2.8642591582076165]
[]
[{"$nulls":8},2.9695]
[]
["Ne-21",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J97)","v":0},336,{"$f":"TRUNC(2.423*SIN(K97),4)","v":0},{"$f":"TRUNC(2.423*COS(K97),4)","v":2.423},0,{"$f":"L97*M97","v":0},{"$f":"L97*N97","v":814.128},{"$f":"L97*O97","v":0}]
[{"$nulls":8},1,{"$f":"J97+20","v":20},0.3490658503988659,340,0.8287,2.2768,0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},"1'",{"$f":"J115+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},"2'",{"$f":"J116+20","v":40},0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p","3'",{"$f":"J117+20","v":60},1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},"4'",{"$f":"J118+20","v":80},1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},"5'",100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n","6'",120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},"7'",140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},"8'",160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p","9'",180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},"10'",200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},"11'",220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n","12'",240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},"13'",260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},"14'",280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p","15'",300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},"16'",320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},"17'",340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},3,0,"p","0\"",0,0,336,0,2.423,{"$f":"2*0.9616","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},"1\"",20,0.3490658503988659,340,0.8287,2.2768,1.9232,281.758,774.1120000000001,653.888]
[null,"Up Quark",{"$nulls":6},"2\"",40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[null,"Down Quark",{"$nulls":4},1,"n","3\"",60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},"4\"",80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},"5\"",100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},2,"p","6\"",{"$f":"J138+20","v":120},2.0943951023931953,336,2.0983,-1.2115,1.9232,705.0288,-407.064,646.1952]
[{"$nulls":8},"7\"",{"$f":"J139+20","v":140},2.443460952792061,340,1.5574,-1.8561,1.9232,529.516,-631.0740000000001,653.888]
[{"$nulls":8},"8\"",{"$f":"J140+20","v":160},2.792526803190927,336,0.8287,-2.2768,1.9232,278.4432,-765.0048,646.1952]
[{"$nulls":6},3,"n","9\"",180,3.141592653589793,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":8},"10\"",200,3.490658503988659,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":8},"11\"",220,3.839724354387525,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":6},4,"p","12\"",240,4.1887902047863905,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":8},"13\"",260,4.537856055185257,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":8},"14\"",280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":6},5,"n","15\"",300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},"16\"",320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},"17\"",340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":5},4,0,"n","0\"'",0,0,340,0,2.423,{"$f":"3*0.9616","v":2.8848000000000003},0,823.82,980.8320000000001]
[{"$nulls":8},"1\"'",{"$f":"J151+20","v":20},0.3490658503988659,336,0.8287,2.2768,2.8848000000000003,278.4432,765.0048,969.2928]
[{"$nulls":8},"2\"'",{"$f":"J152+20","v":40},0.6981317007977318,340,1.5574,1.8561,2.8848000000000003,529.516,631.0740000000001,980.8320000000001]
[{"$nulls":6},1,"p","3\"'",60,1.0471975511965976,336,2.0983,1.2115,2.8848000000000003,705.0288,407.064,969.2928]
[{"$nulls":8},"4\"'",80,1.3962634015954636,340,2.3861,0.4207,2.8848000000000003,811.274,143.038,980.8320000000001]
[{"$nulls":8},"5\"'",100,1.7453292519943295,336,2.3861,-0.4207,2.8848000000000003,801.7296,-141.3552,969.2928]
[{"$nulls":6},2,"n","6\"'",120,2.0943951023931953,340,2.0983,-1.2115,2.8848000000000003,713.422,-411.91,980.8320000000001]
[{"$nulls":8},"7\"'",140,2.443460952792061,336,1.5574,-1.8561,2.8848000000000003,523.2864,-623.6496000000001,969.2928]
[{"$nulls":8},"8\"'",160,2.792526803190927,340,0.8287,-2.2768,2.8848000000000003,281.758,-774.1120000000001,980.8320000000001]
[{"$nulls":11},{"$f":"SUM(L97:L159)","v":21296},{"$nulls":3},{"$f":"SUM(P97:P159)","v":4644.458},{"$f":"SUM(Q97:Q159)","v":818.9740000000002},{"$f":"SUM(R97:R159)","v":26332.454399999995}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":14},"x=",{"$f":"P160/L160","v":0.21809062734785872}]
[{"$nulls":14},"y=",{"$f":"Q160/L160","v":0.03845670548459806}]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M155-M110)^2+(N155-N110)^2+(O155-O110)^2)/2","v":2.819748119956816},null,null,"z=",{"$f":"R160/L160","v":1.2364976709241169}]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L164-P165)/((P165+L164)/2)","v":{"v":0.051734483283573926,"d":"5.2%"}},null,"experimental radius=",null,2.9695]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M110-P162)^2+(N110-P163)^2+(O110-P164)^2)","v":2.919171148452702},"COM to quark 13",null,2.9220243914179447]
[{"$nulls":14},"% agreement=",{"$f":"ABS(P166-P165)/((P165+P166)/2)","v":{"v":0.01709344953335432,"d":"1.7%"}},null,null,2.919171148452702]
[]
["Ne-22"]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":5},1,0,"p",0,0,{"$f":"RADIANS(J172)","v":0},336,{"$f":"TRUNC(2.423*SIN(K172),4)","v":0},{"$f":"TRUNC(2.423*COS(K172),4)","v":2.423},0,{"$f":"L172*M172","v":0},{"$f":"L172*N172","v":814.128},{"$f":"L172*O172","v":0}]
[{"$nulls":8},1,{"$f":"J172+20","v":20},0.3490658503988659,340,0.8287,2.2768,0,281.758,774.1120000000001,0]
[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},2,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},"1'",{"$f":"J190+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},"2'",{"$f":"J191+20","v":40},0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
["Ne-22",{"$nulls":5},1,"p","3'",{"$f":"J192+20","v":60},1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},"4'",{"$f":"J193+20","v":80},1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},"5'",100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n","6'",120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},"7'",140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},"8'",160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p","9'",180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},"10'",200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},"11'",220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n","12'",240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},"13'",260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},"14'",280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p","15'",300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},"16'",320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},"17'",340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},3,0,"p","0\"",0,0,336,0,2.423,{"$f":"2*0.9616","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},"1\"",20,0.3490658503988659,340,0.8287,2.2768,1.9232,281.758,774.1120000000001,653.888]
[{"$nulls":8},"2\"",40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},1,"n","3\"",60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},"4\"",80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},"5\"",100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},2,"p","6\"",{"$f":"J213+20","v":120},2.0943951023931953,336,2.0983,-1.2115,1.9232,705.0288,-407.064,646.1952]
[{"$nulls":8},"7\"",{"$f":"J214+20","v":140},2.443460952792061,340,1.5574,-1.8561,1.9232,529.516,-631.0740000000001,653.888]
[null,"Up Quark",{"$nulls":6},"8\"",{"$f":"J215+20","v":160},2.792526803190927,336,0.8287,-2.2768,1.9232,278.4432,-765.0048,646.1952]
[null,"Down Quark",{"$nulls":4},3,"n","9\"",180,3.141592653589793,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":8},"10\"",200,3.490658503988659,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":8},"11\"",220,3.839724354387525,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":6},4,"p","12\"",240,4.1887902047863905,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":8},"13\"",260,4.537856055185257,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":8},"14\"",280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
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[{"$nulls":8},"16\"",320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
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[{"$nulls":6},1,"proton","3\"'",60,1.0471975511965976,336,2.0983,1.2115,2.8848000000000003,705.0288,407.064,969.2928]
[{"$nulls":8},"4\"'",80,1.3962634015954636,340,2.3861,0.4207,2.8848000000000003,811.274,143.038,980.8320000000001]
[{"$nulls":8},"5\"'",100,1.7453292519943295,336,2.3861,-0.4207,2.8848000000000003,801.7296,-141.3552,969.2928]
[{"$nulls":6},2,"neutron","6\"'",120,2.0943951023931953,340,2.0983,-1.2115,2.8848000000000003,713.422,-411.91,980.8320000000001]
[{"$nulls":8},"7\"'",140,2.443460952792061,336,1.5574,-1.8561,2.8848000000000003,523.2864,-623.6496000000001,969.2928]
[{"$nulls":8},"8\"'",160,2.792526803190927,340,0.8287,-2.2768,2.8848000000000003,281.758,-774.1120000000001,980.8320000000001]
[{"$nulls":11},{"$f":"SUM(L172:L237)","v":22312},{"$nulls":3},{"$f":"SUM(P172:P237)","v":4644.458},{"$f":"SUM(Q172:Q237)","v":818.9740000000002},{"$f":"SUM(R172:R237)","v":28286.42559999999}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":14},"x=",{"$f":"P238/L238","v":0.20815964503406237}]
[{"$nulls":14},"y=",{"$f":"Q238/L238","v":0.036705539619935466}]
[{"$nulls":10},"AQM predicted r (precessing)=",{"$f":"SQRT((M233-M185)^2+(N233-N185)^2+(O233-O185)^2)/2","v":2.819748119956816},null,null,"z=",{"$f":"R238/L238","v":1.2677673718178555}]
[{"$nulls":10},"% agreement=",{"$f":"ABS(L242-P243)/((P243+L242)/2)","v":{"v":0.045996595185924576,"d":"4.6%"}},null,"experimental radius=",null,2.9525]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M185-P240)^2+(N185-P241)^2+(O185-P242)^2)","v":2.923463193298868},"COM to quark 13",null,2.9267636121544007]
[{"$nulls":14},"% agreement=",{"$f":"ABS(P244-P243)/((P243+P244)/2)","v":{"v":0.009883250029287678,"d":"1.0%"}},null,null,2.923371621749029]
[]
[]
[]
[]
[]
["Na-23",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":17},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":11},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
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[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0,{"$nulls":20},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0,{"$nulls":14},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[null,"Up Quark",{"$nulls":4},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0,{"$nulls":18},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0,{"$nulls":12},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[null,"Down Quark",{"$nulls":6},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0,{"$nulls":20},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0,{"$nulls":14},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
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[{"$nulls":14},"Coordinates",{"$nulls":29},"Coordinates",{"$nulls":23},"Coordinates"]
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[{"$nulls":10},"% agreement=",{"$f":"ABS(L326-P327)/((P327+L326)/2)","v":{"v":0.059804977165290686,"d":"6.0%"}},null,"experimental radius=",null,2.9936,{"$nulls":24},"% agreement=",{"$f":"ABS(AP326-AT327)/((AT327+AP326)/2)","v":{"v":0.19279439209417537,"d":"19.3%"}},null,"experimental radius=",null,2.9936,{"$nulls":18},"% agreement=",{"$f":"BN326/BR327","v":{"v":0.9419314179465723,"d":"94.2%"}},null,"experimental radius=",null,2.9936]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M254-P324)^2+(N254-P325)^2+(O254-P326)^2)","v":2.8335768600424},"COM to quark , Ring 1",{"$nulls":27},"AQM predicted r (tumbling)=",{"$f":"SQRT((AQ262-AT324)^2+(AR262-AT325)^2+(AS262-AT326)^2)","v":2.9895495515110304},"COM to quark 8, Ring 3",{"$nulls":21},"AQM predicted r (tumbling)=",{"$f":"SQRT((BO315-BR324)^2+(BP315-BR325)^2+(BQ315-BR326)^2)","v":2.918963774791699},"COM to quark 8, Ring 3",null,null,2.907129620610376]
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{"$rows_empty":15}
["Mg-24",3.057]
[{"$nulls":5},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z",{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
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[{"$nulls":14},"Coordinates",{"$nulls":16},"Coordinates"]
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[]
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[]
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[{"$nulls":6},"8'",160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
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[{"$nulls":6},"13'",260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
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[{"$nulls":4},5,"p","15'",300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":6},"16'",320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":6},"17'",340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":3},3,0,"p","0\"",0,0,336,0,2.423,{"$f":"2*0.9616","v":1.9232},0,814.128,646.1952]
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[{"$nulls":6},"1\"'",{"$f":"H58+20","v":20},0.3490658503988659,336,0.8287,2.2768,{"$f":"3*0.9616","v":2.8848000000000003},278.4432,765.0048,969.2928]
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[{"$nulls":4},1,"p","3\"'",60,1.0471975511965976,336,2.0983,1.2115,2.8848000000000003,705.0288,407.064,969.2928]
[{"$nulls":6},"4\"'",80,1.3962634015954636,340,2.3861,0.4207,2.8848000000000003,811.274,143.038,980.8320000000001]
[{"$nulls":6},"5\"'",100,1.7453292519943295,336,2.3861,-0.4207,2.8848000000000003,801.7296,-141.3552,969.2928]
[{"$nulls":4},2,"n","6\"'",120,2.0943951023931953,340,2.0983,-1.2115,2.8848000000000003,713.422,-411.91,980.8320000000001]
[{"$nulls":6},"7\"'",140,2.443460952792061,336,1.5574,-1.8561,2.8848000000000003,523.2864,-623.6496000000001,969.2928]
[{"$nulls":6},"8\"'",160,2.792526803190927,340,0.8287,-2.2768,2.8848000000000003,281.758,-774.1120000000001,980.8320000000001]
[{"$nulls":4},3,"p","9\"'",180,3.141592653589793,336,0,-2.423,2.8848000000000003,0,-814.128,969.2928]
[{"$nulls":6},"10\"'",200,{"$f":"RADIANS(H68)","v":3.490658503988659},340,{"$f":"TRUNC(2.423*SIN(I68),4)","v":-0.8287},{"$f":"TRUNC(2.423*COS(I68),4)","v":-2.2768},2.8848000000000003,{"$f":"J68*K68","v":-281.758},{"$f":"J68*L68","v":-774.1120000000001},{"$f":"J68*M68","v":980.8320000000001}]
[{"$nulls":6},"11\"'",220,3.839724354387525,336,-1.5574,-1.8561,2.8848000000000003,-523.2864,-623.6496000000001,969.2928]
[{"$nulls":4},4,"n","12\"'",240,4.1887902047863905,340,-2.0983,-1.2115,2.8848000000000003,-713.422,-411.91,980.8320000000001]
[{"$nulls":6},"13\"'",260,4.537856055185257,336,-2.3861,-0.4207,2.8848000000000003,-801.7296,-141.3552,969.2928]
[{"$nulls":6},"14\"",280,4.886921905584122,340,-2.3861,0.4207,2.8848000000000003,-811.274,143.038,980.8320000000001]
[{"$nulls":4},5,"p","15\"'",300,5.235987755982989,336,-2.0983,1.2115,2.8848000000000003,-705.0288,407.064,969.2928]
[{"$nulls":6},"16\"'",320,5.585053606381854,340,-1.5574,1.8561,2.8848000000000003,-529.516,631.0740000000001,980.8320000000001]
[{"$nulls":6},"17\"'",340,5.934119456780721,336,-0.8287,2.2768,2.8848000000000003,-278.4432,765.0048,969.2928]
[{"$nulls":3},"C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(H76)","v":1.5707963267948966},340,0.84,0,2.8848000000000003,285.59999999999997,0,980.8320000000001]
[{"$nulls":6},"C","c","c",336,0,0,2.8848000000000003,0,0,969.2928]
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[{"$nulls":9},{"$f":"SUM(J4:J78)","v":25352},{"$nulls":3},{"$f":"SUM(N4:N78)","v":0},{"$f":"SUM(O4:O78)","v":1.1368683772161603E-13},{"$f":"SUM(P4:P78)","v":38033.2032}]
[{"$nulls":12},"Coordinates"]
[{"$nulls":12},"x=",{"$f":"N79/J79","v":0}]
[{"$nulls":12},"y=",{"$f":"O79/J79","v":4.4843340849485656E-18}]
[{"$nulls":7},"AQM predicted r (precessing)=",{"$f":"SQRT((K5-K68)^2+(L5-L68)^2+(M5-M68)^2)/2","v":2.819765892764859},{"$nulls":3},"z=",{"$f":"P79/J79","v":1.5002052382455036},null,{"$f":"M72/2","v":1.4424000000000001}]
[{"$nulls":7},"% agreement=",{"$f":"ABS(I83-N84)/((N84+I83)/2)","v":{"v":0.071350269831865,"d":"7.1%"}},null,"Mg-25 experimental radius=",null,null,3.0284]
[{"$nulls":12},"AQM predicted r (tumbling)=",{"$f":"SQRT((K4-N81)^2+(L4-N82)^2+(M4-N83)^2)","v":2.8498324085565536},"COM to quark 13",null,2.853334818743924]
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[]
[{"$nulls":5},0,0,"p",0,0,{"$f":"RADIANS(J11)","v":0},336,{"$f":"TRUNC(2.423*SIN(K11),4)","v":0},{"$f":"TRUNC(2.423*COS(K11),4)","v":2.423},0,{"$f":"L11*M11","v":0},{"$f":"L11*N11","v":814.128},{"$f":"L11*O11","v":0}]
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[{"$nulls":8},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":6},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":8},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":8},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":6},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":8},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":8},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":6},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":8},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":8},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":6},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":8},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":8},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":6},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":8},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":8},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":5},1,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":8},"1'",{"$f":"J29+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":8},"2'",{"$f":"J30+20","v":40},0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":6},1,"p","3'",{"$f":"J31+20","v":60},1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":8},"4'",{"$f":"J32+20","v":80},1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":8},"5'",100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":6},2,"n","6'",120,2.0943951023931953,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":8},"7'",140,2.443460952792061,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":8},"8'",160,2.792526803190927,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":6},3,"p","9'",180,3.141592653589793,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":8},"10'",200,3.490658503988659,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":8},"11'",220,3.839724354387525,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},4,"n","12'",240,4.1887902047863905,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":8},"13'",260,4.537856055185257,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":8},"14'",280,4.886921905584122,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":6},5,"p","15'",300,5.235987755982989,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":8},"16'",320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":8},"17'",340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":5},2,0,"p","0\"",0,0,336,0,2.423,{"$f":"2*0.9616","v":1.9232},0,814.128,646.1952]
[{"$nulls":8},"1\"",20,0.3490658503988659,340,0.8287,2.2768,{"$f":"2*0.9616","v":1.9232},281.758,774.1120000000001,653.888]
[{"$nulls":8},"2\"",40,0.6981317007977318,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":6},1,"n","3\"",60,1.0471975511965976,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":8},"4\"",80,1.3962634015954636,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":8},"5\"",100,1.7453292519943295,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":6},2,"p","6\"",{"$f":"J52+20","v":120},2.0943951023931953,336,2.0983,-1.2115,1.9232,705.0288,-407.064,646.1952]
[{"$nulls":8},"7\"",{"$f":"J53+20","v":140},2.443460952792061,340,1.5574,-1.8561,1.9232,529.516,-631.0740000000001,653.888]
[{"$nulls":8},"8\"",{"$f":"J54+20","v":160},2.792526803190927,336,0.8287,-2.2768,1.9232,278.4432,-765.0048,646.1952]
[{"$nulls":6},3,"n","9\"",180,3.141592653589793,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":8},"10\"",200,3.490658503988659,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":8},"11\"",220,3.839724354387525,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":6},4,"p","12\"",240,4.1887902047863905,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":8},"13\"",260,4.537856055185257,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":8},"14\"",280,4.886921905584122,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":6},5,"n","15\"",300,5.235987755982989,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":8},"16\"",320,5.585053606381854,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":8},"17\"",340,5.934119456780721,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":5},3,0,"n","0\"'",0,0,340,0,2.423,{"$f":"3*0.9616","v":2.8848000000000003},0,823.82,980.8320000000001]
[{"$nulls":8},"1\"'",{"$f":"J65+20","v":20},0.3490658503988659,336,{"$f":"TRUNC(2.423*SIN(K66),4)","v":0.8287},2.2768,{"$f":"3*0.9616","v":2.8848000000000003},278.4432,765.0048,969.2928]
[{"$nulls":8},"2\"'",{"$f":"J66+20","v":40},0.6981317007977318,340,1.5574,1.8561,2.8848000000000003,529.516,631.0740000000001,980.8320000000001]
[{"$nulls":6},1,"p","3\"'",60,1.0471975511965976,336,2.0983,1.2115,2.8848000000000003,705.0288,407.064,969.2928]
[{"$nulls":8},"4\"'",80,1.3962634015954636,340,2.3861,0.4207,2.8848000000000003,811.274,143.038,980.8320000000001]
[{"$nulls":8},"5\"'",100,1.7453292519943295,336,{"$f":"TRUNC(2.423*SIN(K70),4)","v":2.3861},-0.4207,2.8848000000000003,801.7296,-141.3552,969.2928]
[{"$nulls":6},2,"n","6\"'",120,2.0943951023931953,340,2.0983,-1.2115,2.8848000000000003,713.422,-411.91,980.8320000000001]
[{"$nulls":8},"7\"'",140,2.443460952792061,336,1.5574,-1.8561,2.8848000000000003,523.2864,-623.6496000000001,969.2928]
[{"$nulls":8},"8\"'",160,2.792526803190927,340,0.8287,-2.2768,2.8848000000000003,281.758,-774.1120000000001,980.8320000000001]
[{"$nulls":6},3,"p","9'\"",180,3.141592653589793,336,0,-2.423,2.8848000000000003,0,-814.128,969.2928]
[{"$nulls":8},"10'\"",200,{"$f":"RADIANS(J75)","v":3.490658503988659},340,-0.8287,-2.2768,2.8848000000000003,-281.758,-774.1120000000001,980.8320000000001]
[{"$nulls":8},"11'\"",220,3.839724354387525,336,-1.5574,-1.8561,2.8848000000000003,-523.2864,-623.6496000000001,969.2928]
[{"$nulls":6},4,"n","12\"'",240,4.1887902047863905,340,{"$f":"TRUNC(2.423*SIN(K77),4)","v":-2.0983},{"$f":"TRUNC(2.423*COS(K77),4)","v":-1.2115},2.8848000000000003,{"$f":"L77*M77","v":-713.422},{"$f":"L77*N77","v":-411.91},{"$f":"L77*O77","v":980.8320000000001}]
[{"$nulls":8},"13\"'",260,4.537856055185257,336,{"$f":"TRUNC(2.423*SIN(K78),4)","v":-2.3861},{"$f":"TRUNC(2.423*COS(K78),4)","v":-0.4207},2.8848000000000003,{"$f":"L78*M78","v":-801.7296},{"$f":"L78*N78","v":-141.3552},{"$f":"L78*O78","v":969.2928}]
[{"$nulls":8},"14\"",280,4.886921905584122,340,{"$f":"TRUNC(2.423*SIN(K79),4)","v":-2.3861},{"$f":"TRUNC(2.423*COS(K79),4)","v":0.4207},2.8848000000000003,{"$f":"L79*M79","v":-811.274},{"$f":"L79*N79","v":143.038},{"$f":"L79*O79","v":980.8320000000001}]
[{"$nulls":6},5,"p","15\"'",300,5.235987755982989,336,-2.0983,1.2115,2.8848000000000003,-705.0288,407.064,969.2928]
[{"$nulls":8},"16\"'",320,5.585053606381854,340,-1.5574,1.8561,2.8848000000000003,-529.516,631.0740000000001,980.8320000000001]
[{"$nulls":8},"17\"'",340,5.934119456780721,336,-0.8287,2.2768,2.8848000000000003,{"$f":"L82*M82","v":-278.4432},{"$f":"L82*N82","v":765.0048},{"$f":"L82*O82","v":969.2928}]
[{"$nulls":5},4,0,"p","0\"\"",0,0,336,0,2.423,{"$f":"4*0.9616","v":3.8464},{"$f":"L83*M83","v":0},{"$f":"L83*N83","v":814.128},{"$f":"L83*O83","v":1292.3904}]
[{"$nulls":8},"1\"\"",{"$f":"J83+20","v":20},0.3490658503988659,340,{"$f":"TRUNC(2.423*SIN(K84),4)","v":0.8287},{"$f":"TRUNC(2.423*COS(K84),4)","v":2.2768},{"$f":"4*0.9616","v":3.8464},281.758,774.1120000000001,1307.776]
[{"$nulls":8},"2\"\"",{"$f":"J84+20","v":40},0.6981317007977318,336,1.5574,1.8561,3.8464,523.2864,623.6496000000001,1292.3904]
[{"$nulls":6},1,"n","3\"\"",60,1.0471975511965976,340,2.0983,1.2115,3.8464,713.422,411.91,1307.776]
[{"$nulls":8},"4\"\"",80,1.3962634015954636,336,2.3861,0.4207,3.8464,801.7296,141.3552,1292.3904]
[{"$nulls":8},"5\"\"",100,1.7453292519943295,340,2.3861,-0.4207,3.8464,811.274,-143.038,1307.776]
[{"$nulls":6},5,"n","15\"\"",300,5.235987755982989,340,-2.0983,1.2115,3.8464,-713.422,411.91,1307.776]
[{"$nulls":8},"16\"\"",320,5.585053606381854,336,-1.5574,1.8561,3.8464,-523.2864,623.6496000000001,1292.3904]
[{"$nulls":8},"17\"\"",340,5.934119456780721,340,-0.8287,2.2768,3.8464,-281.758,774.1120000000001,1307.776]
[{"$nulls":11},{"$f":"SUM(L11:L91)","v":27380},{"$nulls":3},{"$f":"SUM(P11:P91)","v":1613.0035999999998},{"$f":"SUM(Q11:Q91)","v":4431.7884},{"$f":"SUM(R11:R91)","v":46810.68799999997}]
[{"$nulls":14},"Coordinates"]
[{"$nulls":14},"x=",{"$f":"P92/L92","v":0.0589117457998539}]
[{"$nulls":14},"y=",{"$f":"Q92/L92","v":0.16186224981738498}]
[{"$nulls":9},"AQM predicted r (precessing)=",{"$f":"SQRT((M21-M84)^2+(N21-N84)^2+(O21-O84)^2)/2","v":3.093422080803071},{"$nulls":3},"z=",{"$f":"R92/L92","v":1.7096672023374717},null,{"$f":"O79/2","v":1.4424000000000001}]
[{"$nulls":9},"% agreement=",{"$f":"K96/P97","v":{"v":1.0105919898082558,"d":"101.1%"}},null,"Al-27 experimental radius=",null,null,3.061]
[{"$nulls":14},"AQM predicted r (tumbling)=",{"$f":"SQRT((M21-P94)^2+(N21-P95)^2+(O21-P96)^2)","v":3.1077146141038585},"COM to quark 10"]
[{"$nulls":10},3.093422080803071,{"$nulls":3},"% agreement=",{"$f":"P98/P97","v":{"v":1.015261226430532,"d":"101.53%"}}]
[]
[{"$nulls":17},3.1077146141038585]

{"sheet":"Si-28","index":9,"n_rows":102,"n_cols":17,"rows_kept":102,"merged":[[8,4,9,4],[8,5,9,5],[8,6,9,6],[8,7,9,7],[8,8,9,8],[8,9,9,9],[8,10,9,10],[8,11,9,11],[8,12,9,12],[8,13,9,13],[8,14,9,14],[8,15,9,15],[8,16,9,16],[10,4,27,4],[10,5,12,5],[10,6,12,6],[13,5,15,5],[13,6,15,6],[16,5,18,5],[16,6,18,6],[19,5,21,5],[19,6,21,6],[22,5,24,5],[22,6,24,6],[25,5,27,5],[25,6,27,6],[28,4,45,4],[28,5,30,5],[28,6,30,6],[31,5,33,5],[31,6,33,6],[34,5,36,5],[34,6,36,6],[37,5,39,5],[37,6,39,6],[40,5,42,5],[40,6,42,6],[43,5,45,5],[43,6,45,6],[46,4,63,4],[46,5,48,5],[46,6,48,6],[49,5,51,5],[49,6,51,6],[52,5,54,5],[52,6,54,6],[55,5,57,5],[55,6,57,6],[58,5,60,5],[58,6,60,6],[61,5,63,5],[61,6,63,6],[64,4,81,4],[64,5,66,5],[64,6,66,6],[67,5,69,5],[67,6,69,6],[70,5,72,5],[70,6,72,6],[73,5,75,5],[73,6,75,6],[76,5,78,5],[76,6,78,6],[79,5,81,5],[79,6,81,6],[82,4,93,4],[82,5,84,5],[82,6,84,6],[85,5,87,5],[85,6,87,6],[88,5,90,5],[88,6,90,6],[91,5,93,5],[91,6,93,6],[99,11,99,13]]}
{"$rows_empty":8}
[{"$nulls":4},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":4},1,0,"p",0,0,{"$f":"RADIANS(I11)","v":0},336,{"$f":"TRUNC(2.423*SIN(J11),4)","v":0},{"$f":"TRUNC(2.423*COS(J11),4)","v":2.423},0,{"$f":"K11*L11","v":0},{"$f":"K11*M11","v":814.128},{"$f":"K11*N11","v":0}]
[{"$nulls":7},1,{"$f":"I11+20","v":20},0.3490658503988659,340,0.8287,2.2768,0,{"$f":"K12*L12","v":281.758},{"$f":"K12*M12","v":774.1120000000001},{"$f":"K12*N12","v":0}]
[{"$nulls":7},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":5},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":7},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":7},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":5},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":7},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":7},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":5},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":7},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":7},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":5},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":7},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":7},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":5},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":7},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":7},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":4},2,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":7},"1'",{"$f":"I29+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":7},"2'",{"$f":"I30+20","v":40},0.6981317007977318,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":5},1,"p","3'",{"$f":"I31+20","v":60},1.0471975511965976,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":7},"4'",{"$f":"I32+20","v":80},1.3962634015954636,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":7},"5'",100,1.7453292519943295,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
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[{"$nulls":10},{"$f":"SUM(K11:K94)","v":28392},{"$nulls":3},{"$f":"SUM(O11:O94)","v":3125.9916},{"$f":"SUM(P11:P94)","v":2628.6456000000003},{"$f":"SUM(Q11:Q94)","v":50703.244799999964}]
[{"$nulls":10},{"$f":"28*3","v":84},null,null,"Coordinates"]
[{"$nulls":10},{"$f":"84*338","v":28392},null,null,"x=",{"$f":"O95/K95","v":0.11010114116652578}]
[{"$nulls":13},"y=",{"$f":"P95/K95","v":0.09258402366863906}]
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[{"$nulls":8},"% agreement=",{"$f":"ABS(J99-O100)/((O100+J99)/2)","v":{"v":0.009322186498673843,"d":"0.9%"}},null,"Si-28 experimental radius=",null,null,3.1224]
[{"$nulls":13},"AQM predicted r (tumbling)=",{"$f":"SQRT((L23-O97)^2+(M23-O98)^2+(N23-O99)^2)","v":3.1251967022291587},"COM to quark 10"]
[{"$nulls":13},"% agreement=",{"$f":"ABS(O101-O100)/((O100+O101)/2)","v":{"v":8.9528897669114023E-4,"d":"0.1%"}}]

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[]
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[{"$nulls":7},"16\"'",320,5.585053606381854,340,-1.5574,1.8561,2.8848000000000003,-529.516,631.0740000000001,980.8320000000001]
[{"$nulls":7},"17\"'",340,5.934119456780721,336,-0.8287,2.2768,2.8848000000000003,{"$f":"K82*L82","v":-278.4432},{"$f":"K82*M82","v":765.0048},{"$f":"K82*N82","v":969.2928}]
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[{"$nulls":7},"4\"\"",80,1.3962634015954636,336,2.3861,0.4207,3.8464,801.7296,141.3552,1292.3904]
[{"$nulls":7},"5\"\"",100,1.7453292519943295,340,2.3861,-0.4207,3.8464,811.274,-143.038,1307.776]
[{"$nulls":5},2,"p","6\"\"",{"$f":"I88+20","v":120},2.0943951023931953,336,2.0983,-1.2115,3.8464,705.0288,-407.064,1292.3904]
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[{"$nulls":5},3,"n","9\"\"",180,3.141592653589793,340,0,-2.423,3.8464,0,-823.82,1307.776]
[{"$nulls":7},"10\"\"",200,3.490658503988659,336,-0.8287,-2.2768,3.8464,-278.4432,-765.0048,1292.3904]
[{"$nulls":7},"11\"\"",220,3.839724354387525,340,-1.5574,-1.8561,3.8464,-529.516,-631.0740000000001,1307.776]
[{"$nulls":5},5,"n","15\"\"",300,5.235987755982989,340,-2.0983,1.2115,3.8464,-713.422,411.91,1307.776]
[{"$nulls":7},"16\"\"",320,5.585053606381854,336,-1.5574,1.8561,3.8464,-523.2864,623.6496000000001,1292.3904]
[{"$nulls":7},"17\"\"",340,5.934119456780721,340,-0.8287,2.2768,3.8464,-281.758,774.1120000000001,1307.776]
[{"$nulls":10},{"$f":"SUM(K11:K97)","v":29408},{"$nulls":3},{"$f":"SUM(O11:O97)","v":2318.0324},{"$f":"SUM(P11:P97)","v":408.74680000000046},{"$f":"SUM(Q11:Q97)","v":54611.18719999996}]
[{"$nulls":10},{"$f":"K98/338","v":87.00591715976331},null,null,"Coordinates"]
[{"$nulls":10},{"$f":"29*3","v":87},null,null,"x=",{"$f":"O98/K98","v":0.07882319096844397}]
[{"$nulls":10},{"$f":"87*338","v":29406},null,null,"y=",{"$f":"P98/K98","v":0.013899170293797622}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((L24-L87)^2+(M24-M87)^2+(N24-N87)^2)/2","v":3.0934058802556126},{"$nulls":3},"z=",{"$f":"Q98/K98","v":1.857018063112077},null,{"$f":"N79/2","v":1.4424000000000001}]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J102-O103)/((O103+J102)/2)","v":{"v":0.007790725113076737,"d":"0.8%"}},null,"Si-29 experimental radius=",null,null,3.1176]
[{"$nulls":13},"AQM predicted r (tumbling)=",{"$f":"SQRT((L24-O100)^2+(M24-O101)^2+(N24-O102)^2)","v":3.116606947133155},"COM to quark 10"]
[{"$nulls":13},"% agreement=",{"$f":"ABS(O104-O103)/((O103+O104)/2)","v":{"v":3.1858193841370185E-4,"d":"0.0%"}}]

{"sheet":"Si-30","index":11,"n_rows":108,"n_cols":18,"rows_kept":108,"merged":[[8,4,9,4],[8,5,9,5],[8,6,9,6],[8,7,9,7],[8,8,9,8],[8,9,9,9],[8,10,9,10],[8,11,9,11],[8,12,9,12],[8,13,9,13],[8,14,9,14],[8,15,9,15],[8,16,9,16],[10,4,27,4],[10,5,12,5],[10,6,12,6],[13,5,15,5],[13,6,15,6],[16,5,18,5],[16,6,18,6],[19,5,21,5],[19,6,21,6],[22,5,24,5],[22,6,24,6],[25,5,27,5],[25,6,27,6],[28,4,45,4],[28,5,30,5],[28,6,30,6],[31,5,33,5],[31,6,33,6],[34,5,36,5],[34,6,36,6],[37,5,39,5],[37,6,39,6],[40,5,42,5],[40,6,42,6],[43,5,45,5],[43,6,45,6],[46,4,63,4],[46,5,48,5],[46,6,48,6],[49,5,51,5],[49,6,51,6],[52,5,54,5],[52,6,54,6],[55,5,57,5],[55,6,57,6],[58,5,60,5],[58,6,60,6],[61,5,63,5],[61,6,63,6],[64,4,81,4],[64,5,66,5],[64,6,66,6],[67,5,69,5],[67,6,69,6],[70,5,72,5],[70,6,72,6],[73,5,75,5],[73,6,75,6],[76,5,78,5],[76,6,78,6],[79,5,81,5],[79,6,81,6],[82,4,84,4],[82,5,84,5],[82,6,84,6],[85,4,99,4],[85,5,87,5],[85,6,87,6],[88,5,90,5],[88,6,90,6],[91,5,93,5],[91,6,93,6],[94,5,96,5],[94,6,96,6],[97,5,99,5],[97,6,99,6],[105,11,105,13]]}
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[]
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[{"$nulls":4},2,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":7},"1'",{"$f":"I29+20","v":20},0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
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[{"$nulls":7},"16'",320,5.585053606381854,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":7},"17'",340,5.934119456780721,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":4},3,0,"p","0\"",0,0,336,0,2.423,{"$f":"2*0.9616","v":1.9232},0,814.128,646.1952]
[{"$nulls":7},"1\"",20,0.3490658503988659,340,0.8287,2.2768,{"$f":"2*0.9616","v":1.9232},281.758,774.1120000000001,653.888]
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[{"$nulls":10},{"$f":"SUM(K11:K100)","v":29419.499999999996},{"$nulls":3},{"$f":"SUM(O11:O100)","v":2318.0324},{"$f":"SUM(P11:P100)","v":408.74680000000046},{"$f":"SUM(Q11:Q100)","v":54644.362399999955}]
[{"$nulls":13},"Coordinates"]
[{"$nulls":13},"x=",{"$f":"O101/K101","v":0.07879237920426929}]
[{"$nulls":13},"y=",{"$f":"P101/K101","v":0.013893737147130322}]
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[{"$nulls":8},"% agreement=",{"$f":"ABS(J105-O106)/((O106+J105)/2)","v":{"v":0.07838418764187767,"d":"7.8%"}},null,"Si-30 experimental radius=",null,null,3.1336]
[{"$nulls":13},"AQM predicted r (tumbling)=",{"$f":"SQRT((L24-O103)^2+(M24-O104)^2+(N24-O105)^2)","v":3.1168212245573814},"COM to quark 12",null,3.1168212245573814]
[{"$nulls":13},"% agreement=",{"$f":"ABS(O107-O106)/((O106+O107)/2)","v":{"v":0.005368846303252689,"d":"0.5%"}}]

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[]
[{"$nulls":7},"P-31"]
[]
[]
[]
[]
[]
[]
[{"$nulls":3},"ring","nucleon position","type","quark position","angle     (deg)","angle      (rad)","mass     (MeV)","x (fm)","y (fm)","z (fm)","weight x","weight y","weight z"]
[]
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[{"$nulls":12},"Coordinates"]
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[]
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[{"$nulls":4},1,"p","3\"'",60,1.04719755,336,2.0983,1.2115,4.808,705.0288,407.064,1615.4879999999998]
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[{"$nulls":12},"Coordinates"]
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[{"$nulls":12},"y=",{"$f":"O107/J107","v":0.08101102071005918}]
[{"$nulls":7},"AQM predicted r (precessing)=",{"$f":"SQRT((K102-K21)^2+(L102-L21)^2+(M102-M21)^2)/2","v":3.413177102056089},{"$nulls":3},"z=",{"$f":"P107/J107","v":2.103499999999998}]
[{"$nulls":7},"% agreement=",{"$f":"ABS(I111-N112)/((N112+I111)/2)","v":{"v":0.04557110822061614,"d":"4.6%"}},null,"S-32 experimental radius=",null,null,3.2611]
[{"$nulls":12},"AQM predicted r (tumbling)=",{"$f":"SQRT((K23-N109)^2+(L23-N110)^2+(M23-N111)^2)","v":3.303291559618404},"COM to quark 12"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N113-N112)/((N112+N113)/2)","v":{"v":0.01285467487282449,"d":"1.3%"}}]

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[]
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[{"$nulls":7},5,100,1.74532925,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":5},2,"p",6,120,2.0943951,336,2.0983,-1.2115,0,705.0288,-407.064,0]
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[{"$nulls":7},8,160,2.7925268,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
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[{"$nulls":7},11,220,3.83972435,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":5},4,"p",12,240,4.1887902,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":7},13,260,4.53785606,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":7},14,280,4.88692191,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":5},5,"n",15,300,5.23598776,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":7},16,320,5.58505361,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":7},17,340,5.93411946,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":4},2,0,"n","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":7},"1'",20,0.34906585,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":7},"2'",40,0.6981317,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":5},1,"p","3'",60,1.04719755,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":7},"4'",80,1.3962634,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":7},"5'",100,1.74532925,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":5},2,"n","6'",120,2.0943951,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":7},"7'",140,2.44346095,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":7},"8'",160,2.7925268,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":5},3,"p","9'",180,3.14159265,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":7},"10'",200,3.4906585,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":7},"11'",220,3.83972435,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":5},4,"n","12'",240,4.1887902,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":7},"13'",260,4.53785606,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":7},"14'",280,4.88692191,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":5},5,"p","15'",300,5.23598776,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":7},"16'",320,5.58505361,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":7},"17'",340,5.93411946,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":4},3,0,"p","0\"",0,0,336,0,2.423,1.9232,0,814.128,646.1952]
[{"$nulls":7},"1\"",20,0.34906585,340,0.8287,2.2768,1.9232,281.758,774.1120000000001,653.888]
[{"$nulls":7},"2\"",40,0.6981317,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":5},1,"n","3\"",60,1.04719755,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":7},"4\"",80,1.3962634,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":7},"5\"",100,1.74532925,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":5},2,"p","6\"",120,2.0943951,336,2.0983,-1.2115,1.9232,705.0288,-407.064,646.1952]
[{"$nulls":7},"7\"",140,2.44346095,340,1.5574,-1.8561,1.9232,529.516,-631.0740000000001,653.888]
[{"$nulls":7},"8\"",160,2.7925268,336,0.8287,-2.2768,1.9232,278.4432,-765.0048,646.1952]
[{"$nulls":5},3,"n","9\"",180,3.14159265,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":7},"10\"",200,3.4906585,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":7},"11\"",220,3.83972435,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":5},4,"p","12\"",240,4.1887902,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":7},"13\"",260,4.53785606,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":7},"14\"",280,4.88692191,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":5},5,"n","15\"",300,5.23598776,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":7},"16\"",320,5.58505361,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":7},"17\"",340,5.93411946,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":4},4,0,"n","0\"'",0,0,340,0,2.423,2.8848,0,823.82,980.8319999999999]
[{"$nulls":7},"1\"'",20,0.34906585,336,0.8287,2.2768,2.8848,278.4432,765.0048,969.2927999999999]
[{"$nulls":7},"2\"'",40,0.6981317,340,1.5574,1.8561,2.8848,529.516,631.0740000000001,980.8319999999999]
[{"$nulls":5},1,"p","3\"'",60,1.04719755,336,2.0983,1.2115,2.8848,705.0288,407.064,969.2927999999999]
[{"$nulls":7},"4\"'",80,1.3962634,340,2.3861,0.4207,2.8848,811.274,143.038,980.8319999999999]
[{"$nulls":7},"5\"'",100,1.74532925,336,2.3861,-0.4207,2.8848,801.7296,-141.3552,969.2927999999999]
[{"$nulls":5},2,"n","6\"'",120,2.0943951,340,2.0983,-1.2115,2.8848,713.422,-411.91,980.8319999999999]
[{"$nulls":7},"7\"'",140,2.44346095,336,1.5574,-1.8561,2.8848,523.2864,-623.6496000000001,969.2927999999999]
[{"$nulls":7},"8\"'",160,2.7925268,340,0.8287,-2.2768,2.8848,281.758,-774.1120000000001,980.8319999999999]
[{"$nulls":5},3,"p","9'\"",180,3.14159265,336,0,-2.423,2.8848,0,-814.128,969.2927999999999]
[{"$nulls":7},"10'\"",200,3.4906585,340,-0.8287,-2.2768,2.8848,-281.758,-774.1120000000001,980.8319999999999]
[{"$nulls":7},"11'\"",220,3.83972435,336,-1.5574,-1.8561,2.8848,{"$f":"K76*L76","v":-523.2864},{"$f":"K76*M76","v":-623.6496000000001},{"$f":"K76*N76","v":969.2927999999999}]
[{"$nulls":5},4,"n","12\"'",240,4.1887902,340,-2.0983,-1.2115,2.8848,-713.422,-411.91,980.8319999999999]
[{"$nulls":7},"13\"'",260,4.53785606,336,-2.3861,-0.4207,2.8848,-801.7296,-141.3552,969.2927999999999]
[{"$nulls":7},"14\"",280,4.88692191,340,-2.3861,0.4207,2.8848,-811.274,143.038,980.8319999999999]
[{"$nulls":5},5,"p","15\"'",300,5.23598776,336,-2.0983,1.2115,2.8848,-705.0288,407.064,969.2927999999999]
[{"$nulls":7},"16\"'",320,5.58505361,340,-1.5574,1.8561,2.8848,-529.516,631.0740000000001,980.8319999999999]
[{"$nulls":7},"17\"'",340,5.93411946,336,-0.8287,2.2768,2.8848,-278.4432,765.0048,969.2927999999999]
[{"$nulls":4},5,0,"p","0\"\"",0,0,336,0,2.423,3.8464,0,814.128,1292.3904]
[{"$nulls":7},"1\"\"",20,0.34906585,340,0.8287,2.2768,3.8464,281.758,774.1120000000001,1307.776]
[{"$nulls":7},"2\"\"",40,0.6981317,336,1.5574,1.8561,3.8464,523.2864,623.6496000000001,1292.3904]
[{"$nulls":5},1,"n","3\"\"",60,1.04719755,340,2.0983,1.2115,3.8464,713.422,411.91,1307.776]
[{"$nulls":7},"4\"\"",80,1.3962634,336,2.3861,0.4207,3.8464,801.7296,141.3552,1292.3904]
[{"$nulls":7},"5\"\"",100,1.74532925,340,2.3861,-0.4207,3.8464,811.274,-143.038,1307.776]
[{"$nulls":5},2,"p","6\"\"",120,2.0943951,336,2.0983,-1.2115,3.8464,705.0288,-407.064,1292.3904]
[{"$nulls":7},"7\"\"",140,2.44346095,340,1.5574,-1.8561,3.8464,529.516,-631.0740000000001,1307.776]
[{"$nulls":7},"8\"\"",160,2.7925268,336,0.8287,-2.2768,3.8464,278.4432,-765.0048,1292.3904]
[{"$nulls":5},3,"n","9\"\"",180,3.14159265,340,0,-2.423,3.8464,0,-823.82,1307.776]
[{"$nulls":7},"10\"\"",200,3.4906585,336,-0.8287,-2.2768,3.8464,-278.4432,-765.0048,1292.3904]
[{"$nulls":7},"11\"\"",220,3.83972435,340,-1.5574,-1.8561,3.8464,-529.516,-631.0740000000001,1307.776]
[{"$nulls":5},4,"p","12\"",240,4.1887902,336,-2.0983,-1.2115,3.8464,-705.0288,-407.064,1292.3904]
[{"$nulls":7},"13\"",260,4.53785606,340,-2.3861,-0.4207,3.8464,-811.274,-143.038,1307.776]
[{"$nulls":7},"14\"",280,4.88692191,336,-2.3861,0.4207,3.8464,-801.7296,141.3552,1292.3904]
[{"$nulls":5},5,"n","15\"\"",300,5.23598776,340,-2.0983,1.2115,3.8464,-713.422,411.91,1307.776]
[{"$nulls":7},"16\"\"",320,5.58505361,336,-1.5574,1.8561,3.8464,-523.2864,623.6496000000001,1292.3904]
[{"$nulls":7},"17\"\"",340,5.93411946,340,-0.8287,2.2768,3.8464,-281.758,774.1120000000001,1307.776]
[{"$nulls":4},"5C","Center","n","C + 0.84(x)",90,{"$f":"RADIANS(I101)","v":1.5707963267948966},340,0.84,0,0,{"$f":"K101*L101","v":285.59999999999997},{"$f":"K101*M101","v":0},{"$f":"K101*N101","v":0}]
[{"$nulls":7},"C","c","c",336,0,0,0,{"$f":"K102*L102","v":0},{"$f":"K102*M102","v":0},{"$f":"K102*N102","v":0}]
[{"$nulls":7},"C - 0.84(x)",270,{"$f":"RADIANS(I103)","v":4.71238898038469},340,-0.84,0,0,{"$f":"K103*L103","v":-285.59999999999997},{"$f":"K103*M103","v":0},{"$f":"K103*N103","v":0}]
[{"$nulls":4},6,0,"n","0'\"\"",0,0,340,0,2.423,{"$f":"0.9616*5","v":4.808},0,823.82,1634.72]
[{"$nulls":7},"1'\"\"",20,0.34906585,336,0.8287,2.2768,{"$f":"0.9616*5","v":4.808},278.4432,765.0048,1615.4879999999998]
[{"$nulls":7},"2'\"\"",40,0.6981317,340,1.5574,1.8561,4.808,529.516,631.0740000000001,1634.72]
[{"$nulls":5},1,"p","3\"'",60,1.04719755,336,2.0983,1.2115,4.808,705.0288,407.064,1615.4879999999998]
[{"$nulls":7},"4\"'",80,1.3962634,340,2.3861,0.4207,4.808,811.274,143.038,1634.72]
[{"$nulls":7},"5\"'",100,1.74532925,336,2.3861,-0.4207,4.808,801.7296,-141.3552,1615.4879999999998]
[{"$nulls":5},2,"n","6\"'",120,2.0943951,340,0,0,4.808,0,0,1634.72]
[{"$nulls":7},"7\"'",140,2.44346095,336,0,0,4.808,0,0,1615.4879999999998]
[{"$nulls":7},"8\"'",160,2.7925268,340,0,0,4.808,0,0,1634.72]
[{"$nulls":10},{"$f":"SUM(K11:K112)","v":34480},{"$nulls":3},{"$f":"SUM(O11:O112)","v":3125.9916},{"$f":"SUM(P11:P112)","v":2628.6456000000003},{"$f":"SUM(Q11:Q112)","v":73139.29599999994}]
[{"$nulls":12},"Coordinates"]
[{"$nulls":12},"x=",{"$f":"O113/K113","v":0.09066100928074246}]
[{"$nulls":12},"y=",{"$f":"P113/K113","v":0.07623682134570767}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((L105-L21)^2+(M105-M21)^2+(N105-N21)^2)/2","v":3.413177102056089},null,null,"z=",{"$f":"Q113/K113","v":2.1212092807424576}]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J117-N118)/((O118+J117)/2)","v":{"v":0.07528299775519695,"d":"7.5%"}},"S-34 experimental radius=",null,null,3.2847]
[{"$nulls":12},"AQM predicted r (tumbling)=",{"$f":"SQRT((L24-N115)^2+(M24-N116)^2+(N24-N117)^2)","v":3.2986088149719226},"COM to quark 13"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N119-N118)/((N118+N119)/2)","v":{"v":0.004225478513263992,"d":"0.4%"}}]

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{"$rows_empty":10}
[{"$nulls":5},"nucleon","quark #","angle (deg)","angle (rad)","mass (MeV)","x-value (fm)","y-value (fm)","z-value (fm)","weight x","weight y","weight z"]
[{"$nulls":3},1,0,"proton",0,0,0,336,0,2.423,0,{"$f":"J12*K12","v":0},{"$f":"J12*L12","v":814.128},{"$f":"J12*M12","v":0}]
[{"$nulls":6},1,20,0.34906585,340,0.8287,2.2768,0,{"$f":"J13*K13","v":281.758},{"$f":"J13*L13","v":774.1120000000001},{"$f":"J13*M13","v":0}]
[{"$nulls":6},2,40,0.6981317,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":4},1,"neutron",3,60,1.04719755,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":6},4,80,1.3962634,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":6},5,100,1.74532925,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":4},2,"proton",6,120,2.0943951,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":6},7,140,2.44346095,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":6},8,160,2.7925268,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":4},3,"neutron",9,180,3.14159265,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":6},10,200,3.4906585,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":6},11,220,3.83972435,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":4},4,"proton",12,240,4.1887902,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":6},13,260,4.53785606,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":6},14,280,4.88692191,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":4},5,"neutron",15,300,5.23598776,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":6},16,320,5.58505361,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":6},17,340,5.93411946,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":3},2,0,"neutron","0'",0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":6},"1'",20,0.34906585,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
[{"$nulls":6},"2'",40,0.6981317,340,1.5574,1.8561,0.9616,529.516,631.0740000000001,326.944]
[{"$nulls":4},1,"proton","3'",60,1.04719755,336,2.0983,1.2115,0.9616,705.0288,407.064,323.0976]
[{"$nulls":6},"4'",80,1.3962634,340,2.3861,0.4207,0.9616,811.274,143.038,326.944]
[{"$nulls":6},"5'",100,1.74532925,336,2.3861,-0.4207,0.9616,801.7296,-141.3552,323.0976]
[{"$nulls":4},2,"neutron","6'",120,2.0943951,340,2.0983,-1.2115,0.9616,713.422,-411.91,326.944]
[{"$nulls":6},"7'",140,2.44346095,336,1.5574,-1.8561,0.9616,523.2864,-623.6496000000001,323.0976]
[{"$nulls":6},"8'",160,2.7925268,340,0.8287,-2.2768,0.9616,281.758,-774.1120000000001,326.944]
[{"$nulls":4},3,"proton","9'",180,3.14159265,336,0,-2.423,0.9616,0,-814.128,323.0976]
[{"$nulls":6},"10'",200,3.4906585,340,-0.8287,-2.2768,0.9616,-281.758,-774.1120000000001,326.944]
[{"$nulls":6},"11'",220,3.83972435,336,-1.5574,-1.8561,0.9616,-523.2864,-623.6496000000001,323.0976]
[{"$nulls":4},4,"neutron","12'",240,4.1887902,340,-2.0983,-1.2115,0.9616,-713.422,-411.91,326.944]
[{"$nulls":6},"13'",260,4.53785606,336,-2.3861,-0.4207,0.9616,-801.7296,-141.3552,323.0976]
[{"$nulls":6},"14'",280,4.88692191,340,-2.3861,0.4207,0.9616,-811.274,143.038,326.944]
[{"$nulls":4},5,"proton","15'",300,5.23598776,336,-2.0983,1.2115,0.9616,-705.0288,407.064,323.0976]
[{"$nulls":6},"16'",320,5.58505361,340,-1.5574,1.8561,0.9616,-529.516,631.0740000000001,326.944]
[{"$nulls":6},"17'",340,5.93411946,336,-0.8287,2.2768,0.9616,-278.4432,765.0048,323.0976]
[{"$nulls":3},3,0,"proton","0\"",0,0,336,0,2.423,1.9232,0,814.128,646.1952]
[{"$nulls":6},"1\"",20,0.34906585,340,0.8287,2.2768,1.9232,281.758,774.1120000000001,653.888]
[{"$nulls":6},"2\"",40,0.6981317,336,1.5574,1.8561,1.9232,523.2864,623.6496000000001,646.1952]
[{"$nulls":4},1,"neutron","3\"",60,1.04719755,340,2.0983,1.2115,1.9232,713.422,411.91,653.888]
[{"$nulls":6},"4\"",80,1.3962634,336,2.3861,0.4207,1.9232,801.7296,141.3552,646.1952]
[{"$nulls":6},"5\"",100,1.74532925,340,2.3861,-0.4207,1.9232,811.274,-143.038,653.888]
[{"$nulls":4},2,"proton","6\"",120,2.0943951,336,2.0983,-1.2115,1.9232,705.0288,-407.064,646.1952]
[{"$nulls":6},"7\"",140,2.44346095,340,1.5574,-1.8561,1.9232,529.516,-631.0740000000001,653.888]
[{"$nulls":6},"8\"",160,2.7925268,336,0.8287,-2.2768,1.9232,278.4432,-765.0048,646.1952]
[{"$nulls":4},3,"neutron","9\"",180,3.14159265,340,0,-2.423,1.9232,0,-823.82,653.888]
[{"$nulls":6},"10\"",200,3.4906585,336,-0.8287,-2.2768,1.9232,-278.4432,-765.0048,646.1952]
[{"$nulls":6},"11\"",220,3.83972435,340,-1.5574,-1.8561,1.9232,-529.516,-631.0740000000001,653.888]
[{"$nulls":4},4,"proton","12\"",240,4.1887902,336,-2.0983,-1.2115,1.9232,-705.0288,-407.064,646.1952]
[{"$nulls":6},"13\"",260,4.53785606,340,-2.3861,-0.4207,1.9232,-811.274,-143.038,653.888]
[{"$nulls":6},"14\"",280,4.88692191,336,-2.3861,0.4207,1.9232,-801.7296,141.3552,646.1952]
[{"$nulls":4},5,"neutron","15\"",300,5.23598776,340,-2.0983,1.2115,1.9232,-713.422,411.91,653.888]
[{"$nulls":6},"16\"",320,5.58505361,336,-1.5574,1.8561,1.9232,-523.2864,623.6496000000001,646.1952]
[{"$nulls":6},"17\"",340,5.93411946,340,-0.8287,2.2768,1.9232,-281.758,774.1120000000001,653.888]
[{"$nulls":3},4,0,"neutron","0\"'",0,0,340,0,2.423,2.8848,0,823.82,980.8319999999999]
[{"$nulls":6},"1\"'",20,0.34906585,336,0.8287,2.2768,2.8848,278.4432,765.0048,969.2927999999999]
[{"$nulls":6},"2\"'",40,0.6981317,340,1.5574,1.8561,2.8848,529.516,631.0740000000001,980.8319999999999]
[{"$nulls":4},1,"proton","3\"'",60,1.04719755,336,2.0983,1.2115,2.8848,705.0288,407.064,969.2927999999999]
[{"$nulls":6},"4\"'",80,1.3962634,340,2.3861,0.4207,2.8848,811.274,143.038,980.8319999999999]
[{"$nulls":6},"5\"'",100,1.74532925,336,2.3861,-0.4207,2.8848,801.7296,-141.3552,969.2927999999999]
[{"$nulls":4},2,"neutron","6\"'",120,2.0943951,340,2.0983,-1.2115,2.8848,713.422,-411.91,980.8319999999999]
[{"$nulls":6},"7\"'",140,2.44346095,336,1.5574,-1.8561,2.8848,523.2864,-623.6496000000001,969.2927999999999]
[{"$nulls":6},"8\"'",160,2.7925268,340,0.8287,-2.2768,2.8848,281.758,-774.1120000000001,980.8319999999999]
[{"$nulls":4},3,"proton","9'\"",180,3.14159265,336,0,-2.423,2.8848,0,-814.128,969.2927999999999]
[{"$nulls":6},"10'\"",200,3.4906585,340,-0.8287,-2.2768,2.8848,-281.758,-774.1120000000001,980.8319999999999]
[{"$nulls":6},"11'\"",220,3.83972435,336,-1.5574,-1.8561,2.8848,{"$f":"J77*K77","v":-523.2864},{"$f":"J77*L77","v":-623.6496000000001},{"$f":"J77*M77","v":969.2927999999999}]
[{"$nulls":4},4,"neutron","12\"'",240,4.1887902,340,-2.0983,-1.2115,2.8848,-713.422,-411.91,980.8319999999999]
[{"$nulls":6},"13\"'",260,4.53785606,336,-2.3861,-0.4207,2.8848,-801.7296,-141.3552,969.2927999999999]
[{"$nulls":6},"14\"",280,4.88692191,340,-2.3861,0.4207,2.8848,-811.274,143.038,980.8319999999999]
[{"$nulls":4},5,"proton","15\"'",300,5.23598776,336,-2.0983,1.2115,2.8848,-705.0288,407.064,969.2927999999999]
[{"$nulls":6},"16\"'",320,5.58505361,340,-1.5574,1.8561,2.8848,-529.516,631.0740000000001,980.8319999999999]
[{"$nulls":6},"17\"'",340,5.93411946,336,-0.8287,2.2768,2.8848,-278.4432,765.0048,969.2927999999999]
[{"$nulls":3},5,0,"proton","0\"\"",0,0,336,0,2.423,3.8464,0,814.128,1292.3904]
[{"$nulls":6},"1\"\"",20,0.34906585,340,0.8287,2.2768,3.8464,281.758,774.1120000000001,1307.776]
[{"$nulls":6},"2\"\"",40,0.6981317,336,1.5574,1.8561,3.8464,523.2864,623.6496000000001,1292.3904]
[{"$nulls":4},1,"neutron","3\"\"",60,1.04719755,340,2.0983,1.2115,3.8464,713.422,411.91,1307.776]
[{"$nulls":6},"4\"\"",80,1.3962634,336,2.3861,0.4207,3.8464,801.7296,141.3552,1292.3904]
[{"$nulls":6},"5\"\"",100,1.74532925,340,2.3861,-0.4207,3.8464,811.274,-143.038,1307.776]
[{"$nulls":4},2,"proton","6\"\"",120,2.0943951,336,2.0983,-1.2115,3.8464,705.0288,-407.064,1292.3904]
[{"$nulls":6},"7\"\"",140,2.44346095,340,1.5574,-1.8561,3.8464,529.516,-631.0740000000001,1307.776]
[{"$nulls":6},"8\"\"",160,2.7925268,336,0.8287,-2.2768,3.8464,278.4432,-765.0048,1292.3904]
[{"$nulls":4},3,"neutron","9\"\"",180,3.14159265,340,0,-2.423,3.8464,0,-823.82,1307.776]
[{"$nulls":6},"10\"\"",200,3.4906585,336,-0.8287,-2.2768,3.8464,-278.4432,-765.0048,1292.3904]
[{"$nulls":6},"11\"\"",220,3.83972435,340,-1.5574,-1.8561,3.8464,-529.516,-631.0740000000001,1307.776]
[{"$nulls":4},4,"proton","12\"",240,4.1887902,336,-2.0983,-1.2115,3.8464,-705.0288,-407.064,1292.3904]
[{"$nulls":6},"13\"",260,4.53785606,340,-2.3861,-0.4207,3.8464,-811.274,-143.038,1307.776]
[{"$nulls":6},"14\"",280,4.88692191,336,-2.3861,0.4207,3.8464,-801.7296,141.3552,1292.3904]
[{"$nulls":4},5,"neutron","15\"\"",300,5.23598776,340,-2.0983,1.2115,3.8464,-713.422,411.91,1307.776]
[{"$nulls":6},"16\"\"",320,5.58505361,336,-1.5574,1.8561,3.8464,-523.2864,623.6496000000001,1292.3904]
[{"$nulls":6},"17\"\"",340,5.93411946,340,-0.8287,2.2768,3.8464,-281.758,774.1120000000001,1307.776]
[{"$nulls":3},6,0,"neutron","0'\"\"",0,0,340,0,2.423,4.808,0,823.82,1634.72]
[{"$nulls":6},"1'\"\"",20,0.34906585,336,0.8287,2.2768,4.808,278.4432,765.0048,1615.4879999999998]
[{"$nulls":6},"2'\"\"",40,0.6981317,340,1.5574,1.8561,4.808,529.516,631.0740000000001,1634.72]
[{"$nulls":4},1,"proton","3\"'",60,1.04719755,336,2.0983,1.2115,4.808,705.0288,407.064,1615.4879999999998]
[{"$nulls":6},"4\"'",80,1.3962634,340,2.3861,0.4207,4.808,811.274,143.038,1634.72]
[{"$nulls":6},"5\"'",100,1.74532925,336,2.3861,-0.4207,4.808,801.7296,-141.3552,1615.4879999999998]
[{"$nulls":4},2,"neutron","6\"'",120,2.0943951,340,2.0983,-1.2115,4.808,713.422,-411.91,1634.72]
[{"$nulls":6},"7\"'",140,2.44346095,336,1.5574,-1.8561,4.808,523.2864,-623.6496000000001,1615.4879999999998]
[{"$nulls":6},"8\"'",160,2.7925268,340,0.8287,-2.2768,4.808,281.758,-774.1120000000001,1634.72]
[{"$nulls":4},3,"proton","9'\"",180,3.14159265,336,0,-2.423,4.808,0,-814.128,1615.4879999999998]
[{"$nulls":6},"10'\"",200,3.4906585,340,-0.8287,-2.2768,4.808,-281.758,-774.1120000000001,1634.72]
[{"$nulls":6},"11'\"",220,3.83972435,336,-1.5574,-1.8561,4.808,-523.2864,-623.6496000000001,1615.4879999999998]
[{"$nulls":4},4,"neutron","12\"'",240,4.1887902,340,-2.0983,-1.2115,4.808,-713.422,-411.91,1634.72]
[{"$nulls":6},"13\"'",260,4.53785606,336,-2.3861,-0.4207,4.808,-801.7296,-141.3552,1615.4879999999998]
[{"$nulls":6},"14\"",280,4.88692191,340,-2.3861,0.4207,4.808,-811.274,143.038,1634.72]
[{"$nulls":9},{"$f":"SUM(J12:J116)","v":35492},{"$nulls":3},{"$f":"SUM(N12:N116)","v":1512.9879999999998},{"$f":"SUM(O12:O116)","v":-1803.1428},{"$f":"SUM(P12:P116)","v":82889.91999999994}]
[{"$nulls":12},"Coordinates"]
[{"$nulls":12},"x=",{"$f":"N117/J117","v":0.042628986813929896}]
[{"$nulls":12},"y=",{"$f":"O117/J117","v":-0.05080420376422856}]
[{"$nulls":7},"AQM predicted r (precessing)=",{"$f":"SQRT((K106-K25)^2+(L106-L25)^2+(M106-M25)^2)/2","v":3.4131624192235566},{"$nulls":3},"z=",{"$f":"P117/J117","v":2.3354536233517393}]
[{"$nulls":7},"% agreement=",{"$f":"ABS(I121-M122)/((N122+I121)/2)","v":{"v":1.0070460986075906,"d":"100.7%"}},null,"Cl-35 experimental radius=",null,null,3.3654]
[{"$nulls":12},"AQM predicted r (tumbling)=",{"$f":"SQRT((K28-N119)^2+(L28-N120)^2+(M28-N121)^2)","v":3.413315108191048},"COM to quark 13"]
[{"$nulls":12},"% agreement=",{"$f":"ABS(N123-N122)/((N122+N123)/2)","v":{"v":0.014136929322534795,"d":"1.4%"}}]

{"sheet":"Ar-36,38,40","index":16,"n_rows":122,"n_cols":17,"rows_kept":122,"merged":[[2,4,3,5],[4,4,5,4],[4,5,5,5],[4,6,5,6],[4,7,5,7],[4,8,5,8],[4,9,5,9],[4,10,5,10],[4,11,5,11],[4,12,5,12],[4,13,5,13],[4,14,5,14],[4,15,5,15],[4,16,5,16],[6,4,23,4],[6,5,8,5],[6,6,8,6],[9,5,11,5],[9,6,11,6],[12,5,14,5],[12,6,14,6],[15,5,17,5],[15,6,17,6],[18,5,20,5],[18,6,20,6],[21,5,23,5],[21,6,23,6],[24,4,41,4],[24,5,26,5],[24,6,26,6],[27,5,29,5],[27,6,29,6],[30,5,32,5],[30,6,32,6],[33,5,35,5],[33,6,35,6],[36,5,38,5],[36,6,38,6],[39,5,41,5],[39,6,41,6],[42,4,59,4],[42,5,44,5],[42,6,44,6],[45,5,47,5],[45,6,47,6],[48,5,50,5],[48,6,50,6],[51,5,53,5],[51,6,53,6],[54,5,56,5],[54,6,56,6],[57,5,59,5],[57,6,59,6],[60,4,77,4],[60,5,62,5],[60,6,62,6],[63,5,65,5],[63,6,65,6],[66,5,68,5],[66,6,68,6],[69,5,71,5],[69,6,71,6],[72,5,74,5],[72,6,74,6],[75,5,77,5],[75,6,77,6],[78,4,95,4],[78,5,80,5],[78,6,80,6],[81,5,83,5],[81,6,83,6],[84,5,86,5],[84,6,86,6],[87,5,89,5],[87,6,89,6],[90,5,92,5],[90,6,92,6],[93,5,95,5],[93,6,95,6],[96,4,113,4],[96,5,98,5],[96,6,98,6],[99,5,101,5],[99,6,101,6],[102,5,104,5],[102,6,104,6],[105,5,107,5],[105,6,107,6],[108,5,110,5],[108,6,110,6],[111,5,113,5],[111,6,113,6],[119,11,119,13]]}
[]
[]
[{"$nulls":4},"Ar-36 "]
[]
[{"$nulls":4},"ring level","nucleon position","nucleon type","quark position","angle (deg)","angle (rad)","mass (MeV)","x-value (fm)","y-value (fm)","z-value (fm)","weight x","weight y","weight z"]
[]
[{"$nulls":4},1,0,"p",0,0,{"$f":"RADIANS(I7)","v":0},336,{"$f":"TRUNC(2.423*SIN(J7),4)","v":0},{"$f":"TRUNC(2.423*COS(J7),4)","v":2.423},0,{"$f":"K7*L7","v":0},{"$f":"K7*M7","v":814.128},{"$f":"K7*N7","v":0}]
[{"$nulls":7},1,20,0.3490658503988659,340,0.8287,2.2768,0,281.758,774.1120000000001,0]
[{"$nulls":7},2,40,0.6981317007977318,336,1.5574,1.8561,0,523.2864,623.6496000000001,0]
[{"$nulls":5},1,"n",3,60,1.0471975511965976,340,2.0983,1.2115,0,713.422,411.91,0]
[{"$nulls":7},4,80,1.3962634015954636,336,2.3861,0.4207,0,801.7296,141.3552,0]
[{"$nulls":7},5,100,1.7453292519943295,340,2.3861,-0.4207,0,811.274,-143.038,0]
[{"$nulls":5},2,"p",6,120,2.0943951023931953,336,2.0983,-1.2115,0,705.0288,-407.064,0]
[{"$nulls":7},7,140,2.443460952792061,340,1.5574,-1.8561,0,529.516,-631.0740000000001,0]
[{"$nulls":7},8,160,2.792526803190927,336,0.8287,-2.2768,0,278.4432,-765.0048,0]
[{"$nulls":5},3,"n",9,180,3.141592653589793,340,0,-2.423,0,0,-823.82,0]
[{"$nulls":7},10,200,3.490658503988659,336,-0.8287,-2.2768,0,-278.4432,-765.0048,0]
[{"$nulls":7},11,220,3.839724354387525,340,-1.5574,-1.8561,0,-529.516,-631.0740000000001,0]
[{"$nulls":5},4,"p",12,240,4.1887902047863905,336,-2.0983,-1.2115,0,-705.0288,-407.064,0]
[{"$nulls":7},13,260,4.537856055185257,340,-2.3861,-0.4207,0,-811.274,-143.038,0]
[{"$nulls":7},14,280,4.886921905584122,336,-2.3861,0.4207,0,-801.7296,141.3552,0]
[{"$nulls":5},5,"n",15,300,5.235987755982989,340,-2.0983,1.2115,0,-713.422,411.91,0]
[{"$nulls":7},16,320,5.585053606381854,336,-1.5574,1.8561,0,-523.2864,623.6496000000001,0]
[{"$nulls":7},17,340,5.934119456780721,340,-0.8287,2.2768,0,-281.758,774.1120000000001,0]
[{"$nulls":4},2,0,"n",0,0,0,340,0,2.423,0.9616,0,823.82,326.944]
[{"$nulls":7},1,20,0.3490658503988659,336,0.8287,2.2768,0.9616,278.4432,765.0048,323.0976]
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[{"$nulls":10},{"$f":"SUM(K7:K114)","v":36504},{"$nulls":3},{"$f":"SUM(O7:O114)","v":0},{"$f":"SUM(P7:P114)","v":0},{"$f":"SUM(Q7:Q114)","v":87755.61599999994}]
[{"$nulls":13},"Coordinates"]
[{"$nulls":13},"x=",{"$f":"O115/K115","v":0}]
[{"$nulls":13},"y=",{"$f":"P115/K115","v":0}]
[{"$nulls":8},"AQM predicted r (precessing)=",{"$f":"SQRT((L107-L8)^2+(M107-M8)^2+(N107-N8)^2)/2","v":3.413177102056089},{"$nulls":3},"z=",{"$f":"Q115/K115","v":2.403999999999998}]
[{"$nulls":8},"% agreement=",{"$f":"ABS(J119-N120)/((O120+J119)/2)","v":{"v":1.0033330655931976,"d":"100.3%"}},null,"Ar-36 experimental radius=",null,null,3.3905]
[{"$nulls":13},"AQM predicted r (tumbling)=",{"$f":"SQRT((L22-O117)^2+(M22-O118)^2+(N22-O119)^2)","v":3.413181967021388},"COM to quark 15"]
[{"$nulls":13},"% agreement=",{"$f":"ABS(O121-O120)/((O120+O121)/2)","v":{"v":0.006667556517583164,"d":"0.7%"}}]

{"sheet":"Quark Confinement","index":17,"n_rows":123,"n_cols":34,"rows_kept":123,"merged":[[7,3,7,4],[7,6,7,8],[8,2,8,4],[9,2,9,4],[9,7,9,8],[9,10,10,11],[10,2,10,4],[33,3,33,5],[33,8,33,10],[33,13,33,15],[33,18,33,20],[33,26,33,28],[90,3,90,5],[90,8,90,10],[90,13,90,15],[90,18,90,20]]}
{"$rows_empty":7}
[{"$nulls":3},"ke^2=1.4400MeVfm"]
[null,null,"Coulombs Constant k (Nm^2/C^2)=",null,null,{"v":9000000000,"d":"9.00E+09"},null,"6.24E12 MeV per joule"]
[null,null,"Distance between quarks in an array=",null,null,0.8414,null,"1 e = 1.602×10−19 C"]
[null,null,"Coulombs Constant k (Nfm^2/C^2)=",null,null,{"$f":"(9000000000)*(0.000000000000001)^2","v":9.000000000000001e-21}]
[{"$nulls":7},"1.6E-19 J/eV"]
[{"$nulls":7},"1E-6MeV/eV"]
{"$rows_empty":13}
[{"$nulls":25},{"$f":"37*(0.5/1000000000000000)*6240000000000","v":0.11544}]
[]
[]
[]
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[]
[]
[{"$nulls":3},"Distance from q3",{"$nulls":4},"Vertical Component",{"$nulls":4},"Force (N)",{"$nulls":4},"vertical component of Force (N)",{"$nulls":3},"Total Force (N)",{"$nulls":3},"Potential (MeV)",{"$nulls":3},"Total",null,"Total Force (N)"]
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{"sheet":"H2 vs H2' antiparallel","index":18,"n_rows":498,"n_cols":30,"rows_kept":498}
{"$rows_empty":15}
[{"$nulls":13},"Coulombs Constant k (Nm^2/C^2)="]
[{"$nulls":13},"Distance between quarks in an array="]
["1 MeV is equal to 1.6021773E-13 joule",{"$nulls":12},"Coulombs Constant k (Nfm^2/C^2)="]
{"$rows_empty":7}
["q1 vs deuteron'"]
[]
[]
[{"$nulls":4},"distance from quark q1 (fm)",{"$nulls":5},"Coulombic Potential from quark q1 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"distance from quark q2 (fm)",{"$nulls":5},"Coulombic Potential from quark q2 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
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[]
[]
[]
[]
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[]
[{"$nulls":4},"distance from quark q3 (fm)",{"$nulls":5},"Coulombic Potential from quark q3 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"distance from quark q4 (fm)",{"$nulls":5},"Coulombic Potential from quark q4 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
[{"$nulls":3},"quark-->","q6'","q5'","q4'","q3'","q2'","q1'","q6'","q5'","q4'","q3'","q2'","q1'",null,"sum (MeV)"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"distance from quark q5 (fm)",{"$nulls":5},"Coulombic Potential from quark q5 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"distance from quark q6 (fm)",{"$nulls":5},"Coulombic Potential from quark q6 (MeV)",{"$nulls":5},"distance (fm)","horizontal"]
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{"$rows_empty":7}
[{"$nulls":6},"average"]
[{"$nulls":3},"distance (fm)","U(MeV)",null,"distance (fm)","U(MeV)"]
[{"$nulls":3},0.1,{"$f":"SUM(R31+R99+R167+R235+R303+R371)","v":-15.42666204348267},null,0.1,-0.24744263701713623]
[{"$nulls":3},0.2,-5.91241003286232,null,0.2,-0.147442637017136,{"$nulls":15},"Vc=0.476 MeV"]
[{"$nulls":3},0.3,-2.843897367008701,null,0.30000000000000004,0.33436765593023265]
[{"$nulls":3},0.4,-1.407551696992548,null,0.4,0.5547400145841335]
[{"$nulls":3},0.5,-0.6295835370518417,null,0.5,0.6728081790662299,{"$nulls":15},"AQM Vc=0.360 MeV"]
[{"$nulls":3},0.6,-0.17823246768517975,null,0.6,0.7411857558603139]
[{"$nulls":3},0.7,0.09240962869225633,null,0.7,0.7821630645164541]
[{"$nulls":3},0.8,0.25669994895290704,null,0.7999999999999999,0.806721898896848]
[{"$nulls":3},0.9,0.35606241452689347,null,0.8999999999999999,0.8208553093779796]
[{"$nulls":3},1,0.4148853470475632,null,0.9999999999999999,0.8280851039474968]
[{"$nulls":3},1.1,0.44804532771686106,null,1.0999999999999999,0.8306000405346389]
[{"$nulls":3},1.2,0.464834487845785,null,1.2,0.8298211810152463]
[{"$nulls":3},1.3,0.4711536211389794,null,1.3,0.8267039502518557]
[{"$nulls":3},1.4,0.4707948767804139,null,1.4000000000000001,0.8219092056892787]
[{"$nulls":3},1.5,0.46621654461401135,null,1.5000000000000002,0.815904854481332,{"$nulls":20},0.476,"MeV"]
[{"$nulls":3},1.6,0.4590220308690961,null,1.6000000000000003,0.8090286641795967]
[{"$nulls":3},1.7,0.45026115618104123,null,1.7000000000000004,0.8015284163790504]
[{"$nulls":3},1.8,0.4406222753445548,null,1.8000000000000005,0.7935883281421552]
[{"$nulls":3},1.9,0.43055613162467293,null,1.9000000000000006,0.7853468779786767]
[{"$nulls":3},2,0.4203564330835149,null,2.0000000000000004,0.7769090986283931]
[{"$nulls":3},2.1,0.41021267950528184,null,2.1000000000000005,0.7683552190758502]
[{"$nulls":3},2.2,0.40024502613661334,null,2.2000000000000006,0.759746844693385]
["q6 vs deuteron'",null,null,2.3,0.3905274234562134,null,2.3000000000000007,0.7511314446458749]
[{"$nulls":3},2.4,0.3811030501127448,null,2.400000000000001,0.7425456549353961]
[{"$nulls":3},2.5,0.3719946476006851,null,2.500000000000001,0.7340177396650815]
[{"$nulls":3},2.6,0.3632114633090735,null,2.600000000000001,0.725569445442078]
[{"$nulls":3},2.7,0.35475392596533384,null,2.700000000000001,0.7172174125891517]
[{"$nulls":3},2.8,0.3466167982284336,null,2.800000000000001,0.7089742588559916]
[{"$nulls":3},2.9,0.33879130257760126,null,2.9000000000000012,0.700849418497846]
[{"$nulls":3},3,0.331266552661586,null,3.0000000000000013,0.6928497968049467]
[{"$nulls":3},3.1,0.3240305134957575,null,3.1000000000000014,0.6849802841376523]
[{"$nulls":3},3.2,0.31707064135944774,null,3.2000000000000015,0.6772441621060087]
[{"$nulls":3},3.3,{"$f":"SUM(R63+R131+R199+R267+R335+R403)","v":0.3103743056455459},null,3.3000000000000016,0.6696434263076725]
[{"$nulls":3},3.4,0.3039290622055102,null,3.4000000000000017,0.6621790440493109]
[{"$nulls":3},3.5,0.2977228256281321,null,3.5000000000000018,0.6548511610725009]
[{"$nulls":3},3.6,0.2917439728942321,null,3.600000000000002,0.647659268036362]
[{"$nulls":3},3.7,0.28598140063943345,null,3.700000000000002,0.6406023350620391]
[{"$nulls":3},3.8,0.2804245512827016,null,3.800000000000002,0.6336789207972446]
[{"$nulls":3},3.9,0.2750634184995985,null,3.900000000000002,0.6268872610545904]
[{"$nulls":3},{"$f":"D478+0.1","v":4},0.26988853923594525,null,4.000000000000002,0.6202253410017475]
[{"$nulls":3},4.1,0.26489097719635984,null,4.100000000000001,0.6136909540520765]
[{"$nulls":3},4.199999999999999,0.2600623011816713,null,4.200000000000001,0.6072817499608278]
[{"$nulls":3},4.299999999999999,0.2553945605706051,null,4.300000000000001,0.6009952741296936]
[{"$nulls":3},4.399999999999999,0.2508802594949284,null,4.4,0.594828999728201]
[{"$nulls":3},4.499999999999998,0.2465123307407843,null,4.5,0.588780353929304]
[{"$nulls":3},4.599999999999998,0.2422841100517949,null,4.6,0.5828467393097674]
[{"$nulls":3},4.6999999999999975,0.2381893112629431,null,4.699999999999999,0.5770255512693122]
[{"$nulls":3},4.799999999999997,0.23422200252462527,null,4.799999999999999,0.5713141921651044]
[{"$nulls":3},4.899999999999997,0.2303765837602428,null,4.899999999999999,0.5657100827316552]
[{"$nulls":3},4.9999999999999964,0.22664776542201326,null,4.999999999999998,0.5602106712540942]
[{"$nulls":3},5.099999999999996,0.2230305485570174,null,5.099999999999998,0.5548134408800582]
[{"$nulls":3},5.199999999999996,0.21952020616096846,null,5.1999999999999975,0.5495159153881717]
[{"$nulls":3},5.299999999999995,0.21611226577521103,null,5.299999999999997,0.5443156636762285]
[{"$nulls":3},5.399999999999995,0.21280249326921286,null,5.399999999999997,0.53921030318726]
[{"$nulls":3},5.499999999999995,0.20958687774352758,null,5.4999999999999964,0.5341975024548018]
[{"$nulls":3},5.599999999999994,0.20646161748501385,null,5.599999999999996,0.5292749829183089]
[{"$nulls":3},5.699999999999994,0.20342310690562782,null,5.699999999999996,0.5244405201345939]
[{"$nulls":3},5.799999999999994,0.20046792439744632,null,5.799999999999995,0.5196919444904148]
[{"$nulls":3},5.899999999999993,0.19759282103905454,null,5.899999999999995,0.5150271415041149]

{"sheet":"H2 vs H2' antiparallel (2)","index":19,"n_rows":910,"n_cols":38,"rows_kept":910}
[]
[]
[]
[]
[{"$nulls":18},1000000000000000]
[{"$nulls":18},9000000000]
{"$rows_empty":10}
[{"$nulls":5},{"v":9000000000,"d":"9.00E+09"}]
["1 MeV is equal to 1.6021773E-13 joule",{"$nulls":4},0.8414]
[{"$nulls":5},{"$f":"(9000000000)*(0.000000000000001)^2","v":9.000000000000001e-21}]
[]
[]
[]
[]
[]
[]
["q1 vs deuteron'"]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q1 to …",{"$nulls":4},"distance from quark q1 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q1 to…",{"$nulls":4},"Coulombic Potential from quark q1 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE",null,"d <---> d'","Force from quark q1 to…"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q2 to …",{"$nulls":4},"distance from quark q2 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q2 to…",{"$nulls":4},"Coulombic Potential from quark q2 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE"]
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[]
[]
[]
[]
[{"$nulls":15},{"$f":"SQRT((2*0.8414)^2+L164^2)","v":1.6828}]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q3 to …",{"$nulls":4},"distance from quark q3 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q3 to…",{"$nulls":4},"Coulombic Potential from quark q3 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q4 to …",{"$nulls":4},"distance from quark q4 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q4 to…",{"$nulls":4},"Coulombic Potential from quark q4 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q5 to …",{"$nulls":4},"distance from quark q5 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q5 to…",{"$nulls":4},"Coulombic Potential from quark q5 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q6","q6'","q5'","q4'","q3'","q2'","q1'","q1","q2","q3","q4","q6","q6'","q5'","q4'","q3'","q2'","q1'",{"$nulls":3},"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","Sum"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q6 to …",{"$nulls":4},"distance from quark q6 (fm)",{"$nulls":5},"Coulombic potential UE (MeV) from quark q6 to…",{"$nulls":4},"Coulombic Potential from quark q6 (MeV)",{"$nulls":5},"distance (fm)","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q5","q6'","q5'","q4'","q3'","q2'","q1'","q1","q2","q3","q4","q5","q6'","q5'","q4'","q3'","q2'","q1'",{"$nulls":3},"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","Sum"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q1' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q1' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q2' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q2' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q3' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q3' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q4' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q4' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q5' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q5' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q6'","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q6'","distance (fm)"]
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[]
[]
[]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q6' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q6' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","distance (fm)"]
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{"sheet":" H2 vs H2' axial (2)","index":21,"n_rows":496,"n_cols":67,"rows_kept":496,"merged":[[1,11,3,14],[16,0,16,3],[17,0,17,3],[18,0,18,3],[20,0,20,3],[26,0,27,2],[28,28,29,28],[29,5,29,10],[29,11,29,16],[29,21,29,26],[93,0,94,2],[96,5,96,10],[96,11,96,16],[96,21,96,26],[96,28,97,28],[159,0,160,2],[163,5,163,10],[163,11,163,16],[163,21,163,26],[163,28,164,28],[227,0,228,2],[230,5,230,10],[230,11,230,16],[230,21,230,26],[230,28,231,28],[294,0,295,2],[297,5,297,10],[297,11,297,16],[297,21,297,26],[297,28,298,28],[361,0,362,2],[364,5,364,10],[364,11,364,16],[364,21,364,26],[364,28,365,28],[474,19,475,21],[476,19,477,21],[482,19,483,21]]}
[]
[]
[]
[]
[{"$nulls":18},1000000000000000]
[{"$nulls":18},9000000000]
{"$rows_empty":10}
["Coulombs Constant k (Nm^2/C^2)=",{"$nulls":4},{"v":9000000000,"d":"9.00E+09"}]
["Distance between quarks in an array=",{"$nulls":4},0.8414]
["Coulombs Constant k (Nfm^2/C^2)=",{"$nulls":4},{"$f":"(9000000000)*(0.000000000000001)^2","v":9.000000000000001e-21}]
[]
["1 MeV is equal to 1.6021773E-13 joule"]
[]
[]
[]
[]
[]
["q1 vs d'"]
[]
[{"$nulls":28},"Total d1 vs d' potential"]
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[]
[]
[]
[]
[]
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[]
["q3 vs d'"]
[]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q3 to …",{"$nulls":5},"Coulombic force (N) from quark q3 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' Force (N)",null,null,"Coulombic potential (MeV) from quark q3 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' potential"]
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[]
[]
["q4 vs d'"]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q4 to …",{"$nulls":5},"Coulombic force (N) from quark q4 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' Force (N)",null,null,"Coulombic potential (MeV) from quark q4 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' potential"]
[{"$nulls":4},"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)",{"$nulls":3},"q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)"]
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[]
[]
["q5 vs d'"]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q5 to …",{"$nulls":5},"Coulombic force (N) from quark q5 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' Force (N)",null,null,"Coulombic potential (MeV) from quark q5 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' potential"]
[{"$nulls":4},"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)",{"$nulls":3},"q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)"]
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[]
[]
["q6 vs d'"]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q6 to …",{"$nulls":5},"Coulombic force (N) from quark q6 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' Force (N)",null,null,"Coulombic potential (MeV) from quark q6 to…",{"$nulls":5},"d <---> d'","Total d1 vs d' potential"]
[{"$nulls":4},"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)",{"$nulls":3},"q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)"]
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{"$rows_empty":7}
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[{"$nulls":5},2.5,3.913526570140709,null,2.5,33.728415015324344]
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[{"$nulls":5},2.7,3.944531028667207,null,2.7,32.94118290886105,{"$nulls":21},"1 MeV is equal to 1.6021773E-13 joule"]
[{"$nulls":5},2.8,3.9325510715983256,null,2.8,32.54720521967545,{"$nulls":10},"1 MeV is equal to 1.6021773E-13 joule"]
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[{"$nulls":5},3.9,3.3537509299566404,null,3.9,28.49965235639177,{"$nulls":9},"Z=2, R=2.13 fm"]
[{"$nulls":5},4,3.2899326795055255,null,4,28.16747045186755]
[{"$nulls":5},4.1,3.226509113419589,null,4.1,27.841652605392117,{"$nulls":9},"Vc=0.338 MeV"]
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[{"$nulls":5},4.3,3.101647703825194,null,4.3,27.208888460896386]
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[{"$nulls":5},4.6,2.9213325536890253,null,4.6,26.30567679054335]
[{"$nulls":5},4.7,2.8634301539068043,null,4.7,26.016448377215482,{"$nulls":9},"AQM Vc=0.0841 MeV"]
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[{"$nulls":5},5.9999999999999964,2.220667308832568,null,5.9999999999999964,22.733713500570726]

{"sheet":"H2 vs H2' (3)","index":22,"n_rows":889,"n_cols":38,"rows_kept":889,"merged":[[1,11,3,14],[16,0,16,3],[17,0,17,3],[18,0,18,3],[20,0,20,3],[26,0,27,2],[29,5,29,15],[29,16,29,26],[29,28,30,28],[29,31,29,36],[96,1,97,3],[96,5,96,15],[96,16,96,26],[96,28,97,28],[162,1,163,3],[162,5,162,15],[162,16,162,26],[162,28,163,28],[228,1,229,3],[228,5,228,15],[228,16,228,26],[228,28,229,28],[294,1,295,3],[294,5,294,15],[294,16,294,26],[294,28,295,28],[360,1,361,3],[360,5,360,15],[360,16,360,26],[360,28,361,28],[426,1,427,3],[426,5,426,15],[426,16,426,26],[426,28,427,28],[492,1,493,3],[492,5,492,15],[492,16,492,26],[492,28,493,28],[558,1,559,3],[558,5,558,15],[558,16,558,26],[558,28,559,28],[624,1,625,3],[624,5,624,15],[624,16,624,26],[624,28,625,28],[690,1,691,3],[690,5,690,15],[690,16,690,26],[690,28,691,28],[756,1,757,3],[756,5,756,15],[756,16,756,26],[756,28,757,28]]}
[]
[]
[]
[]
[{"$nulls":18},1000000000000000]
[{"$nulls":18},9000000000]
{"$rows_empty":10}
["Coulombs Constant k (Nm^2/C^2)=",{"$nulls":4},{"v":9000000000,"d":"9.00E+09"}]
["Distance between quarks in an array=",{"$nulls":4},0.8414]
["Coulombs Constant k (Nfm^2/C^2)=",{"$nulls":4},{"$f":"(9000000000)*(0.000000000000001)^2","v":9.000000000000001e-21}]
[]
["1 MeV is equal to 1.6021773E-13 joule"]
[]
[]
[]
[]
[]
["q1"]
[]
[]
[{"$nulls":4},"d <---> d'","distance (fm) from quark q1 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q1 to…",{"$nulls":10},"d <---> d'","Total q1 UE",null,"d <---> d'","Force from quark q1 to…"]
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[]
[]
[]
[]
[]
[null,"q2",null,null,"d <---> d'","distance (fm) from quark q2 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q2 to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","q6'","q1","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)",null,null,"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","Sum"]
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[]
[]
[]
[]
[null,"q3",null,null,"d <---> d'","distance (fm) from quark q3 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q3 to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q4",null,null,"d <---> d'","distance (fm) from quark q4 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q4 to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q5",null,null,"d <---> d'","distance (fm) from quark q5 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q5 to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q6","q1'","q2'","q3'","q4'","q5'","q6'","q1","q2","q3","q4","q6","q1'","q2'","q3'","q4'","q5'","q6'","distance (fm)",null,null,"distance (fm)","q1'","q2'","q3'","q4'","q5'","q6'","Sum"]
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[]
[]
[]
[]
[null,"q6",null,null,"d <---> d'","distance (fm) from quark q6 to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q6 to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q1'",null,null,"d <---> d'","distance (fm) from quark q1' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q1' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q2'",null,null,"d <---> d'","distance (fm) from quark q2' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q2' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q3'",null,null,"d <---> d'","distance (fm) from quark q3' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q3' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q4'",null,null,"d <---> d'","distance (fm) from quark q4' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q4' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
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[]
[]
[]
[]
[null,"q5'",null,null,"d <---> d'","distance (fm) from quark q5' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q5' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q6'","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q6'","distance (fm)"]
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[]
[]
[]
[]
[null,"q6'",null,null,"d <---> d'","distance (fm) from quark q6' to …",{"$nulls":10},"Coulombic potential UE (MeV) from quark q6' to…",{"$nulls":10},"d <---> d'","Total q1 UE"]
[{"$nulls":4},"distance (fm)","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","q1","q2","q3","q4","q5","q6","q1'","q2'","q3'","q4'","q5'","distance (fm)"]
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{"$rows_empty":10}
[null,"distance (fm)",{"$nulls":11},"distance (fm)"]
[null,0.1,{"$f":"SUM(AC32+AC99+AC165+AC231+AC297+AC363+AC429+AC495+AC561+AC627+AC693+AC759)","v":-318.2427065168579},{"$nulls":10},0.1,{"$f":"SUM(AL32+AL99+AL165+AL231+AL297+AL363)","v":58.035763752275706}]
[null,0.2,{"$f":"SUM(AC33+AC100+AC166+AC232+AC298+AC364+AC430+AC496+AC562+AC628+AC694+AC760)","v":-323.48440939007537},{"$nulls":10},0.2,{"$f":"SUM(AL33+AL100+AL166+AL232+AL298+AL364)","v":48.30503571614478}]
[null,0.3,-328.4103624862156,{"$nulls":10},0.3,41.03301179678359]
[null,0.4,-333.0532736922306,{"$nulls":10},0.4,35.44486745828421]
[null,0.5,-337.4409455967637,{"$nulls":10},0.5,31.048226352475094]
[null,0.6,-341.59722559427655,{"$nulls":10},0.6,27.518462441109826]
[null,0.7,-345.54273564148207,{"$nulls":10},0.7,24.63472114296188]
[null,0.8,-349.29543874043713,{"$nulls":10},0.8,22.242612606583]
[null,0.9,-352.8710860314861,{"$nulls":10},0.9,20.23161677424079]
[null,1,-356.28357151910416,{"$nulls":10},1,18.520941712515878]
[null,1.1,-359.5452184861118,{"$nulls":10},1.1,17.050414398545854]
[null,1.2,-362.6670115274654,{"$nulls":10},1.2,15.774462028198858]
[null,1.3,-365.6587877554547,{"$nulls":10},1.3,14.658044174868847]
[null,1.4,-368.52939247393175,{"$nulls":10},1.4,13.673846964745886]
[null,1.5,-371.2868115459874,{"$nulls":10},1.5,12.800311837034249]
[null,1.6,-373.93827945586753,{"$nulls":10},1.6,12.020227320256499]
[null,1.7,-376.49037263388675,{"$nulls":10},1.7,11.319707556780093]
[null,1.8,-378.9490880634539,{"$nulls":10},1.8,10.68744092031758]
[null,1.9,-381.3199095455002,{"$nulls":10},1.9,10.114130140276696]
[null,2,-383.6078647033974,{"$nulls":10},2,9.592070122773357]
[null,2.1,-385.81757573198684,{"$nulls":10},2.1,9.114826065424452]
[null,2.2,-387.95330149949046,{"$nulls":10},2.2,8.676985503932741]
[null,2.3,-390.0189749802414,{"$nulls":10},2.3,8.27396546916058]
[null,2.4,-392.01823471422153,{"$nulls":10},2.4,7.901861154880727]
[null,2.5,-393.9544554449805,{"$nulls":10},2.5,7.557326158609145]
[null,2.6,-395.8307715722006,{"$nulls":10},2.6,7.237476957426172]
[null,2.7,-397.65009986253415,{"$nulls":10},2.7,6.939816146645549]
[null,2.8,-399.41515878749357,{"$nulls":10},2.8,6.662170322746768]
[null,2.9,-401.1284868963878,{"$nulls":10},2.9,6.402639483605189]
[null,3,-402.79245658266296,{"$nulls":10},3,6.159555552315256]
[null,3.1,-404.4092903612859,{"$nulls":10},3.1,5.931448177909149]
[null,3.2,-405.981071441249,{"$nulls":10},3.2,5.717016377744144]
[null,3.3,-407.50975534948276,{"$nulls":10},3.3,5.515104898299439]
[null,3.4,-408.9971806393561,{"$nulls":10},3.4,5.3246844094252115]
[null,3.5,-410.4450772976615,{"$nulls":10},3.5,5.144834830415891]
[null,3.6,-411.85507504780486,{"$nulls":10},3.6,4.9747312282753855]
[null,3.7,-413.228711633328,{"$nulls":10},3.7,4.813631839233552]
[null,3.8,-414.5674384544011,{"$nulls":10},3.8,4.66086785139459]
[null,3.9,-415.8726275202006,{"$nulls":10},3.9,4.515834654897338]
[null,4,-417.1455761718094,{"$nulls":10},4,4.377984320315671]
[null,4.1,-418.3875135232323,{"$nulls":10},4.1,4.246819109379787]
[null,4.2,-419.5996041620841,{"$nulls":10},4.2,4.121885856859343]
[null,4.3,-420.78295304633355,{"$nulls":10},4.3,4.002771090457998]
[null,4.4,-421.9386086290295,{"$nulls":10},4.4,3.8890967782442085]
[null,4.5,-423.0675672391071,{"$nulls":10},4.5,3.780516611584575]
[null,4.6,-424.1707766430336,{"$nulls":10},4.6,3.676712746609774]
[null,4.7,-425.24913820918596,{"$nulls":10},4.7,3.577392939599444]
[null,4.8,-426.3035103943379,{"$nulls":10},4.8,3.482288021849339]
[null,4.9,-427.3347108694589,{"$nulls":10},4.9,3.3911496679984547]
[null,5,-428.34352030011564,{"$nulls":10},5,3.303748418777195]
[null,5.1,-429.3306820950995,{"$nulls":10},5.1,3.219871924954485]
[null,5.2,-430.2969077354403,{"$nulls":10},5.2,3.1393233841236494]
[null,5.3,-431.24287539467923,{"$nulls":10},5.3,3.061920146044617]
[null,5.4,-432.1692344601387,{"$nulls":10},5.4,2.9874924656909227]
[null,5.5,-433.07660516392536,{"$nulls":10},5.5,2.9158823860461]
[null,5.6,-433.9655817315227,{"$nulls":10},5.6,2.846942735145922]
[null,5.7,-434.8367333550379,{"$nulls":10},5.7,2.78053622394493]
[null,5.8,-435.69060449747633,{"$nulls":10},5.8,2.7165346333587204]
[null,5.9,-436.5277175337994,{"$nulls":10},5.9,2.6548180803474066]
[null,6,-437.34857353396507,{"$nulls":10},6,2.5952743542019183]

{"sheet":"FlorySchulz abundance","index":23,"n_rows":89,"n_cols":17,"rows_kept":89}
[]
[]
[]
[]
[]
[]
[null,null,1,"H","Hydrogen",1,{"v":750000000,"d":"750,000,000"},{"$f":"LN(G7)","v":20.43558376449463},null,1,{"v":20.43558376449463,"d":"20"},null,1,{"v":750000000,"d":"750,000,000"},null,1,20.43558376449463]
[null,null,2,"He","Helium",2,{"v":230000000,"d":"230,000,000"},19.25358986688747,null,2,{"v":19.25358986688747,"d":"19"},null,2,{"v":230000000,"d":"230,000,000"},null,2,19.25358986688747]
[null,null,3,"Li","Lithium",3,6,1.791759469228055,null,3,{"v":1.791759469228055,"d":"2"},null,3,6,null,3,1.791759469228055]
[null,null,4,"Be","Beryllium",4,1,0,null,4,0,null,4,1,null,4,0]
[null,null,5,"B","Boron",5,1,0,null,5,0,null,5,1,null,5,0]
[null,null,6,"C","Carbon",6,{"v":5000000,"d":"5,000,000"},15.424948470398375,null,6,{"v":15.424948470398375,"d":"15"},null,6,{"v":5000000,"d":"5,000,000"},null,6,15.424948470398375]
[null,null,7,"N","Nitrogen",7,{"v":1000000,"d":"1,000,000"},13.815510557964274,null,7,{"v":13.815510557964274,"d":"14"},null,8,{"v":10000000,"d":"10,000,000"},null,8,16.11809565095832]
[null,null,8,"O","Oxygen",8,{"v":10000000,"d":"10,000,000"},16.11809565095832,null,8,{"v":16.11809565095832,"d":"16"},null,10,{"v":1300000,"d":"1,300,000"},null,10,14.077874822431765]
[null,null,9,"F","Fluorine",9,400,5.991464547107982,null,9,{"v":5.991464547107982,"d":"6"},null,12,{"v":600000,"d":"600,000"},null,12,13.304684934198283]
[null,null,10,"Ne","Neon",10,{"v":1300000,"d":"1,300,000"},14.077874822431765,null,10,{"v":14.077874822431765,"d":"14"},null,14,{"v":700000,"d":"700,000"},null,14,13.458835614025542]
[null,null,11,"Na","Sodium",11,{"v":20000,"d":"20,000"},9.903487552536127,null,11,{"v":9.903487552536127,"d":"10"},null,16,{"v":500000,"d":"500,000"},null,16,13.122363377404328]
[null,null,12,"Mg","Magnesium",12,{"v":600000,"d":"600,000"},13.304684934198283,null,12,{"v":13.304684934198283,"d":"13"},null,18,{"v":200000,"d":"200,000"},null,18,12.206072645530174]
[null,null,13,"Al","Aluminum",13,{"v":50000,"d":"50,000"},10.819778284410283,null,13,{"v":10.819778284410283,"d":"11"},null,20,{"v":70000,"d":"70,000"},null,20,11.156250521031495]
[null,null,14,"Si","Silicon",14,{"v":700000,"d":"700,000"},13.458835614025542,null,14,{"v":13.458835614025542,"d":"13"},null,22,{"v":3000,"d":"3,000"},null,22,8.006367567650246]
[null,null,15,"P","Phosphorus",15,{"v":7000,"d":"7,000"},8.85366542803745,null,15,{"v":8.85366542803745,"d":"9"},null,24,{"v":15000,"d":"15,000"},null,24,9.615805480084347]
[null,null,16,"S","Sulfur",16,{"v":500000,"d":"500,000"},13.122363377404328,null,16,{"v":13.122363377404328,"d":"13"},null,26,{"v":1100000,"d":"1,100,000"},null,26,13.9108207377686]
[null,null,17,"Cl","Chlorine",17,{"v":1000,"d":"1,000"},6.907755278982137,null,17,{"v":6.907755278982137,"d":"7"},null,28,{"v":60000,"d":"60,000"},null,28,11.002099841204238]
[null,null,18,"Ar","Argon",18,{"v":200000,"d":"200,000"},12.206072645530174,null,18,{"v":12.206072645530174,"d":"12"},null,30,300,null,30,5.703782474656201]
[null,null,19,"K","Potassium",19,{"v":3000,"d":"3,000"},8.006367567650246,null,19,{"v":8.006367567650246,"d":"8"},null,32,200,null,32,5.298317366548036]
[null,null,20,"Ca","Calcium",20,{"v":70000,"d":"70,000"},11.156250521031495,null,20,{"v":11.156250521031495,"d":"11"},null,34,30,null,34,3.4011973816621555]
[null,null,21,"Sc","Scandium",21,30,3.4011973816621555,null,21,{"v":3.4011973816621555,"d":"3"},null,36,40,null,36,3.6888794541139363]
[null,null,22,"Ti","Titanium",22,{"v":3000,"d":"3,000"},8.006367567650246,null,22,{"v":8.006367567650246,"d":"8"},null,38,40,null,38,3.6888794541139363]
[null,null,23,"V","Vanadium",23,{"v":1000,"d":"1,000"},6.907755278982137,null,23,{"v":6.907755278982137,"d":"7"},null,40,50,null,40,3.912023005428146]
[null,null,24,"Cr","Chromium",24,{"v":15000,"d":"15,000"},9.615805480084347,null,24,{"v":9.615805480084347,"d":"10"},null,42,5,null,42,1.6094379124341003]
[null,null,25,"Mn","Manganese",25,{"v":8000,"d":"8,000"},8.987196820661973,null,25,{"v":8.987196820661973,"d":"9"},null,44,4,null,44,1.3862943611198906]
[null,null,26,"Fe","Iron",26,{"v":1100000,"d":"1,100,000"},13.9108207377686,null,26,{"v":13.9108207377686,"d":"14"},null,46,2,null,46,0.6931471805599453]
[null,null,27,"Co","Cobalt",27,{"v":3000,"d":"3,000"},8.006367567650246,null,27,{"v":8.006367567650246,"d":"8"},null,48,2,null,48,0.6931471805599453]
[null,null,28,"Ni","Nickel",28,{"v":60000,"d":"60,000"},11.002099841204238,null,28,{"v":11.002099841204238,"d":"11"},null,50,4,null,50,1.3862943611198906]
[null,null,29,"Cu","Copper",29,60,4.0943445622221,null,29,{"v":4.0943445622221,"d":"4"},null,52,9,null,52,2.1972245773362196]
[null,null,30,"Zn","Zinc",30,300,5.703782474656201,null,30,{"v":5.703782474656201,"d":"6"},null,54,10,null,54,2.302585092994046]
[null,null,31,"Ga","Gallium",31,10,2.302585092994046,null,31,{"v":2.302585092994046,"d":"2"},null,56,10,null,56,2.302585092994046]
[null,null,32,"Ge","Germanium",32,200,5.298317366548036,null,32,{"v":5.298317366548036,"d":"5"},null,58,10,null,58,2.302585092994046]
[null,null,33,"As","Arsenic",33,8,{"$f":"LN(G39)","v":2.0794415416798357},null,33,{"v":2.0794415416798357,"d":"2"},null,60,10,null,60,2.302585092994046]
[null,null,34,"Se","Selenium",34,30,3.4011973816621555,null,34,{"v":3.4011973816621555,"d":"3"},null,62,5,null,62,1.6094379124341003]
[null,null,35,"Br","Bromine",35,7,1.9459101490553132,null,35,{"v":1.9459101490553132,"d":"2"},null,64,2,null,64,0.6931471805599453]
[null,null,36,"Kr","Krypton",36,40,3.6888794541139363,null,36,{"v":3.6888794541139363,"d":"4"},null,66,2,null,66,0.6931471805599453]
[null,null,37,"Rb","Rubidium",37,10,2.302585092994046,null,37,{"v":2.302585092994046,"d":"2"},null,68,2,null,68,0.6931471805599453]
[null,null,38,"Sr","Strontium",38,40,3.6888794541139363,null,38,{"v":3.6888794541139363,"d":"4"},null,70,2,null,70,0.6931471805599453]
[null,null,39,"Y","Yttrium",39,7,1.9459101490553132,null,39,{"v":1.9459101490553132,"d":"2"},null,72,0.7,null,72,-0.35667494393873245]
[null,null,40,"Zr","Zirconium",40,50,3.912023005428146,null,40,{"v":3.912023005428146,"d":"4"},null,74,0.5,null,74,-0.6931471805599453]
[null,null,41,"Nb","Niobium",41,2,0.6931471805599453,null,41,{"v":0.6931471805599453,"d":"1"},null,76,3,null,76,1.0986122886681098]
[null,null,42,"Mo","Molybdenum",42,5,1.6094379124341003,null,42,{"v":1.6094379124341003,"d":"2"},null,78,5,null,78,1.6094379124341003]
[null,null,44,"Ru","Ruthenium",44,4,1.3862943611198906,null,44,{"v":1.3862943611198906,"d":"1"},null,80,1,null,80,0]
[null,null,45,"Rh","Rhodium",45,0.6,-0.5108256237659907,null,45,{"v":-0.5108256237659907,"d":"-1"},null,82,10,null,82,2.302585092994046]
[null,null,46,"Pd","Palladium",46,2,0.6931471805599453,null,46,{"v":0.6931471805599453,"d":"1"},null,90,0.4,null,90,-0.916290731874155]
[null,null,47,"Ag","Silver",47,0.6,-0.5108256237659907,null,47,{"v":-0.5108256237659907,"d":"-1"},null,92,0.2,null,92,-1.6094379124341003]
[null,null,48,"Cd","Cadmium",48,2,0.6931471805599453,null,48,{"v":0.6931471805599453,"d":"1"}]
[null,null,49,"In","Indium",49,0.3,-1.2039728043259361,null,49,{"v":-1.2039728043259361,"d":"-1"}]
[null,null,50,"Sn","Tin",50,4,1.3862943611198906,null,50,{"v":1.3862943611198906,"d":"1"}]
[null,null,51,"Sb","Antimony",51,0.4,-0.916290731874155,null,51,{"v":-0.916290731874155,"d":"-1"}]
[null,null,52,"Te","Tellurium",52,9,2.1972245773362196,null,52,{"v":2.1972245773362196,"d":"2"}]
[null,null,53,"I","Iodine",53,1,0,null,53,0]
[null,null,54,"Xe","Xenon",54,10,2.302585092994046,null,54,{"v":2.302585092994046,"d":"2"}]
[null,null,55,"Cs","Cesium",55,0.8,-0.2231435513142097,null,55,{"v":-0.2231435513142097,"d":"-0"}]
[null,null,56,"Ba","Barium",56,10,2.302585092994046,null,56,{"v":2.302585092994046,"d":"2"}]
[null,null,57,"La","Lanthanum",57,2,0.6931471805599453,null,57,{"v":0.6931471805599453,"d":"1"}]
[null,null,58,"Ce","Cerium",58,10,2.302585092994046,null,58,{"v":2.302585092994046,"d":"2"}]
[null,null,59,"Pr","Praseodymium",59,2,0.6931471805599453,null,59,{"v":0.6931471805599453,"d":"1"}]
[null,null,60,"Nd","Neodymium",60,10,2.302585092994046,null,60,{"v":2.302585092994046,"d":"2"}]
[null,null,62,"Sm","Samarium",62,5,1.6094379124341003,null,62,{"v":1.6094379124341003,"d":"2"}]
[null,null,63,"Eu","Europium",63,0.5,-0.6931471805599453,null,63,{"v":-0.6931471805599453,"d":"-1"}]
[null,null,64,"Gd","Gadolinium",64,2,0.6931471805599453,null,64,{"v":0.6931471805599453,"d":"1"}]
[null,null,65,"Tb","Terbium",65,0.5,-0.6931471805599453,null,65,{"v":-0.6931471805599453,"d":"-1"}]
[null,null,66,"Dy","Dysprosium",66,2,0.6931471805599453,null,66,{"v":0.6931471805599453,"d":"1"}]
[null,null,67,"Ho","Holmium",67,0.5,{"$f":"LN(G71)","v":-0.6931471805599453},null,67,{"v":-0.6931471805599453,"d":"-1"}]
[null,null,68,"Er","Erbium",68,2,0.6931471805599453,null,68,{"v":0.6931471805599453,"d":"1"}]
[null,null,69,"Tm","Thulium",69,0.1,-2.3025850929940455,null,69,{"v":-2.3025850929940455,"d":"-2"}]
[null,null,70,"Yb","Ytterbium",70,2,0.6931471805599453,null,70,{"v":0.6931471805599453,"d":"1"}]
[null,null,71,"Lu","Lutetium",71,0.1,-2.3025850929940455,null,71,{"v":-2.3025850929940455,"d":"-2"}]
[null,null,72,"Hf","Hafnium",72,0.7,-0.35667494393873245,null,72,{"v":-0.35667494393873245,"d":"-0"}]
[null,null,73,"Ta","Tantalum",73,0.08,-2.5257286443082556,null,73,{"v":-2.5257286443082556,"d":"-3"}]
[null,null,74,"W","Tungsten",74,0.5,-0.6931471805599453,null,74,{"v":-0.6931471805599453,"d":"-1"}]
[null,null,75,"Re","Rhenium",75,0.2,-1.6094379124341003,null,75,{"v":-1.6094379124341003,"d":"-2"}]
[null,null,76,"Os","Osmium",76,3,1.0986122886681098,null,76,{"v":1.0986122886681098,"d":"1"}]
[null,null,77,"Ir","Iridium",77,2,0.6931471805599453,null,77,{"v":0.6931471805599453,"d":"1"}]
[null,null,78,"Pt","Platinum",78,5,1.6094379124341003,null,78,{"v":1.6094379124341003,"d":"2"}]
[null,null,79,"Au","Gold",79,0.6,-0.5108256237659907,null,79,{"v":-0.5108256237659907,"d":"-1"}]
[null,null,80,"Hg","Mercury",80,1,0,null,80,0]
[null,null,81,"Tl","Thallium",81,0.5,-0.6931471805599453,null,81,{"v":-0.6931471805599453,"d":"-1"}]
[null,null,82,"Pb","Lead",82,10,2.302585092994046,null,82,{"v":2.302585092994046,"d":"2"}]
[null,null,83,"Bi","Bismuth",83,0.7,-0.35667494393873245,null,83,{"v":-0.35667494393873245,"d":"-0"}]
[null,null,90,"Th","Thorium",90,0.4,-0.916290731874155,null,90,{"v":-0.916290731874155,"d":"-1"}]
[null,null,92,"U","Uranium",92,0.2,-1.6094379124341003,null,92,{"v":-1.6094379124341003,"d":"-2"}]

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