Q0 = [1,0]


[61A-8,1] = 2 Q0
[61A-8,2] = []

[61A-17,1] = -2 Q0
[61A-17,2] = []

[61A-29,1] = -2 Q0
[61A-29,2] = []

[61A-37,1] = 2 Q0
[61A-37,2] = []

[61A-53,1] = -4 Q0
[61A-53,2] = []

[61A-68,1] = 6 Q0
[61A-68,2] = []

[61A-89,1] = []
[61A-89,2] = []

[61A-101,1] = 2 Q0
[61A-101,2] = []

[61A-116,1] = 2 Q0
[61A-116,2] = []

[61A-157,1] = 2 Q0
[61A-157,2] = []

[61A-173,1] = 4 Q0
[61A-173,2] = []

[61A-181,1] = []
[61A-181,2] = []

[61A-193,1] = []
[61A-193,2] = []


[61A-21,1] = Q0
[61A-21,2] = Q0
[61A-21,3] = [-79/7, 79/14-1377/98*I*7^(1/2)]
[61A-21,4] = [-79/7, 79/14+1377/98*I*7^(1/2)]
\brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-24,1] = []
[61A-24,2] = []
[61A-24,3] = 2 [-2, 1-I*2^(1/2)]
[61A-24,4] = 2 [-2, 1-I*2^(1/2)]
2 \brak{-2, 1 \pm \sqrt{-2}}

[61A-28,1] = -1 Q0
[61A-28,2] = -1 Q0
[61A-28,3] = [-79/7, 79/14-1377/98*I*7^(1/2)]
[61A-28,4] = [-79/7, 79/14+1377/98*I*7^(1/2)]
\brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-32,1] = -2 Q0
[61A-32,2] = -2 Q0
[61A-32,3] = [-2, 1+I*2^(1/2)]
[61A-32,4] = [-2, 1-I*2^(1/2)]
\brak{-2, 1 \pm \sqrt{-2}}

[61A-33,1] = Q0
[61A-33,2] = Q0
[61A-33,3] = [-20/11, 10/11-27/121*I*11^(1/2)]
[61A-33,4] = [-20/11, 10/11+27/121*I*11^(1/2)]
\brak{-\frac{20}{11}, \frac{10}{11} \pm \frac{27}{121} \sqrt{-11}}

[61A-40,1] = -1 Q0 + [4/5, -2/5-3/25*5^(1/2)]
[61A-40,2] = -1 Q0 + [4/5, -2/5+3/25*5^(1/2)]
-1 P_0 + \brak{\frac{4}{5}, -\frac{2}{5} \pm \frac{3}{25} \sqrt{5}}
[61A-40,3] = []
[61A-40,4] = []

[61A-44,1] = Q0
[61A-44,2] = Q0
[61A-44,3] = [-20/11, 10/11+27/121*I*11^(1/2)]
[61A-44,4] = [-20/11, 10/11-27/121*I*11^(1/2)]
\brak{-\frac{20}{11}, \frac{10}{11} \pm \frac{27}{121} \sqrt{-11}}

[61A-69,1] = Q0
[61A-69,2] = Q0
[61A-69,3] = [-1039/575, 1039/1150+18899/132250*I*23^(1/2)]
[61A-69,4] = [-1039/575, 1039/1150-18899/132250*I*23^(1/2)]
\brak{-\frac{1039}{575}, \frac{1039}{1150} \pm \frac{18899}{132250} \sqrt{-23}}

[61A-72,1] = -2 Q0
[61A-72,2] = -2 Q0
[61A-72,3] = ????
[61A-72,4] = - [61A-72,3]

[61A-84,1] = -1 Q0
[61A-84,2] = -1 Q0
[61A-84,3] = [-79/7, 79/14+1377/98*I*7^(1/2)]
[61A-84,4] = [-79/7, 79/14-1377/98*I*7^(1/2)]
\brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-85,1] = Q0 + [4/5, -2/5-3/25*5^(1/2)]
[61A-85,2] = Q0 + [4/5, -2/5+3/25*5^(1/2)]
P_0 + \brak{\frac{4}{5}, -\frac{2}{5} \pm \frac{3}{25} \sqrt{5}}
[61A-85,3] = []
[61A-85,4] = []

[61A-92,1] = Q0
[61A-92,2] = Q0
[61A-92,3] = [-1039/575, 1039/1150+18899/132250*I*23^(1/2)]
[61A-92,4] = [-1039/575, 1039/1150-18899/132250*I*23^(1/2)]
\brak{-\frac{1039}{575}, \frac{1039}{1150} \pm \frac{18899}{132250} \sqrt{-23}}

[61A-93,1] = []
[61A-93,2] = []
[61A-93,3] = 2 [-19/9, 19/18+17/54*I*31^(1/2)]
[61A-93,4] = 2 [-19/9, 19/18-17/54*I*31^(1/2)]
2 \brak{-\frac{19}{9}, \frac{19}{18} \pm \frac{17}{54} \sqrt{-31}}

[61A-104,1] = -1 Q0 + [4/13, -2/13+31/169*13^(1/2)]
[61A-104,2] = -1 Q0 + [4/13, -2/13-31/169*13^(1/2)]
- P_0 + \brak{\frac{4}{13}, -\frac{2}{13}-\frac{31}{169} \sqrt{13}}
[61A-104,3] = []
[61A-104,4] = []

[61A-112,1] = 2 Q0
[61A-112,2] = 2 Q0
[61A-112,3] = 2 [-79/7, 79/14-1377/98*I*7^(1/2)]
[61A-112,4] = 2 [-79/7, 79/14+1377/98*I*7^(1/2)]
2 \brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-124,1] = []
[61A-124,2] = []
[61A-124,3] = 2 [-19/9, 19/18-17/54*I*31^(1/2)]
[61A-124,4] = 2 [-19/9, 19/18+17/54*I*31^(1/2)]
2 \brak{-\frac{19}{9}, \frac{19}{18} \pm \frac{17}{54} \sqrt{-31}}

[61A-128,1] = []
[61A-128,2] = []
[61A-128,3] = 2 [-2, 1-I*2^(1/2)]
[61A-128,4] = 2 [-2, 1+I*2^(1/2)]
2 \brak{-2, 1 \pm \sqrt{-2}}

[61A-129,1] = []
[61A-129,2] = []
[61A-129,3] = 4 [-13/4, 13/8-3/4*I*43^(1/2)]
[61A-129,4] = 4 [-13/4, 13/8+3/4*I*43^(1/2)]
4 \brak{-\frac{13}{4}, \frac{13}{8} \pm \frac{3}{4} \sqrt{-43}}

[61A-132,1] = -3 Q0
[61A-132,2] = -3 Q0
[61A-132,3] = [-20/11, 10/11+27/121*I*11^(1/2)]
[61A-132,4] = [-20/11, 10/11-27/121*I*11^(1/2)]
\brak{-\frac{20}{11}, \frac{10}{11} \pm \frac{27}{121} \sqrt{-11}}

[61A-133,1] = Q0
[61A-133,2] = Q0
[61A-133,3] = [-79/7, 79/14-1377/98*I*7^(1/2)]
[61A-133,4] = [-79/7, 79/14+1377/98*I*7^(1/2)]
\brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-152,1] = -2 Q0
[61A-152,2] = -2 Q0
[61A-152,3] = 2 [-2, 1-I*2^(1/2)]
[61A-152,4] = 2 [-2, 1+I*2^(1/2)]
2 \brak{-2, 1 \pm \sqrt{-2}}

[61A-153,1] = 2 Q0
[61A-153,2] = 2 Q0
[61A-153,3] = ????
[61A-153,4] = - [61A-153,3]

[61A-172,1] = 2 Q0
[61A-172,2] = 2 Q0
[61A-172,3] = 4 [-13/4, 13/8+3/4*I*43^(1/2)]
[61A-172,4] = 4 [-13/4, 13/8-3/4*I*43^(1/2)]
4 \brak{-\frac{13}{4}, \frac{13}{8} \pm \frac{3}{4} \sqrt{-43}}

[61A-176,1] = -2 Q0
[61A-176,2] = -2 Q0
[61A-176,3] = []
[61A-176,4] = []

[61A-177,1] = Q0
[61A-177,2] = Q0
[61A-177,3] = [-79849300/36542771, 39924650/36542771-434520424417/1696790485843*I*59^(1/2)]
[61A-177,4] = [-79849300/36542771, 39924650/36542771+434520424417/1696790485843*I*59^(1/2)]
\brak{-\frac{79849300}{36542771}, \frac{39924650}{36542771} \pm \frac{434520424417}{1696790485843} \sqrt{-59}}

[61A-185,1] = -1 Q0 + [4/5, -2/5-3/25*5^(1/2)]
[61A-185,2] = -1 Q0 + [4/5, -2/5+3/25*5^(1/2)]
- P_0 + \brak{\frac{4}{5}, -\frac{2}{5} \pm \frac{3}{25} \sqrt{5}}
[61A-185,3] = []
[61A-185,4] = []

[61A-189,1] = -3 Q0
[61A-189,2] = -3 Q0
[61A-189,3] = [-79/7, 79/14-1377/98*I*7^(1/2)]
[61A-189,4] = [-79/7, 79/14+1377/98*I*7^(1/2)]
\brak{-\frac{79}{7}, \frac{79}{14} \pm \frac{1377}{98} \sqrt{-7}}

[61A-200,1] = -3 Q0 + [4/5, -2/5+3/25*5^(1/2)]
[61A-200,2] = -3 Q0 + [4/5, -2/5-3/25*5^(1/2)]
-3 P_0 + \brak{\frac{4}{5}, -\frac{2}{5} \pm \frac{3}{25} \sqrt{5}}
[61A-200,3] = []
[61A-200,4] = []


[61A-96,1] = [1/2, -1/4-1/4*3^(1/2)]
[61A-96,2] = [1/2, -1/4+1/4*3^(1/2)]
[61A-96,3] = [1/2, -1/4-1/4*3^(1/2)]
[61A-96,4] = [1/2, -1/4+1/4*3^(1/2)]
\brak{\frac{1}{2}, -\frac{1}{4} \pm \frac{1}{4} \sqrt{3}}
---
[1,1,1,1] -> []
[1,-1,-1,1] -> 4 [-7/4, 7/8-1/8*I*6^(1/2)]
[1,1,-1,-1] -> []
[1,-1,1,-1] -> []
[61A-96,5] = [-7/4, 7/8-1/8*I*6^(1/2)]
[61A-96,6] = [-7/4, 7/8+1/8*I*6^(1/2)]
[61A-96,7] = [-7/4, 7/8+1/8*I*6^(1/2)]
[61A-96,8] = [-7/4, 7/8-1/8*I*6^(1/2)]
\brak{-\frac{7}{4}, \frac{7}{8} \pm \frac{1}{8} \sqrt{-6}}

[1,1,1,1] -> -2 Q0
[1,-1,-1,1] -> []
[1,1,-1,-1] -> []
[1,-1,1,-1] -> 2 [4/5, -2/5-3/25*5^(1/2)]
[61A-105,1] = [-1/2+1/2*5^(1/2), 0]
[61A-105,2] = [-1/2-1/2*5^(1/2), 0]
[61A-105,3] = [-1/2+1/2*5^(1/2), 0]
[61A-105,4] = [-1/2-1/2*5^(1/2), 0]
\brak{-\frac{1}{2} \pm \frac{1}{2} \sqrt{5}, 0}
---
[1,1,1,1] -> []
[1,-1,-1,1] -> 2 [-179764/84035, 89882/84035-44696777/144120025*I*35^(1/2)]
[1,1,-1,-1] -> 2 [-79/7, 79/14-1377/98*I*7^(1/2)]
[1,-1,1,-1] -> []
[61A-105,5] = [-163/14+7/2*5^(1/2), 163/28-7/4*5^(1/2)-31/4*I*7^(1/2)*5^(1/2)+2909/196*I*7^(1/2)]
[61A-105,6] = [-163/14-7/2*5^(1/2), 163/28+7/4*5^(1/2)+31/4*I*7^(1/2)*5^(1/2)+2909/196*I*7^(1/2)]
[61A-105,7] = [-163/14+7/2*5^(1/2), 163/28-7/4*5^(1/2)+31/4*I*7^(1/2)*5^(1/2)-2909/196*I*7^(1/2)]
[61A-105,8] = [-163/14-7/2*5^(1/2), 163/28+7/4*5^(1/2)-31/4*I*7^(1/2)*5^(1/2)-2909/196*I*7^(1/2)]
\brak{-\frac{163}{14}-\frac{7}{2} \sqrt{5}, \frac{163}{28} + \frac{7}{4} \sqrt{5} + \frac{2909}{196} \sqrt{-7} + \frac{31}{4} \sqrt{-35}}  and conjugates

[1,1,1,1] -> -4 Q0
[1,-1,-1,1] -> []
[1,1,-1,-1] -> []
[1,-1,1,-1] -> []
[61A-120,1] = - Q0
[61A-120,2] = - Q0
[61A-120,3] = - Q0
[61A-120,4] = - Q0
---
[1,1,1,1] -> []
[1,-1,-1,1] -> 4 [-962/45, 481/45-20927/675*I*10^(1/2)]
[1,1,-1,-1] -> []
[1,-1,1,-1] -> 4 [-2, 1-I*2^(1/2)]
[61A-120,5] = [-962/45, 481/45-20927/675*I*10^(1/2)] + [-2, 1-I*2^(1/2)]
[61A-120,6] = [-962/45, 481/45+20927/675*I*10^(1/2)] + [-2, 1+I*2^(1/2)]
[61A-120,7] = [-962/45, 481/45+20927/675*I*10^(1/2)] + [-2, 1-I*2^(1/2)]
[61A-120,8] = [-962/45, 481/45-20927/675*I*10^(1/2)] + [-2, 1+I*2^(1/2)]
\brak{-\frac{962}{45}, \frac{481}{45} + \frac{20927}{675} \sqrt{-10}} + \brak{-2, 1 + \sqrt{-2}}  and conjugates

[61A-140,1] = [-1/2+1/2*5^(1/2), 1/2-1/2*5^(1/2)]
[61A-140,2] = [-1/2+1/2*5^(1/2), 1/2-1/2*5^(1/2)]
[61A-140,3] = [-1/2-1/2*5^(1/2), 1/2+1/2*5^(1/2)]
[61A-140,4] = [-1/2-1/2*5^(1/2), 1/2+1/2*5^(1/2)]
\brak{-\frac{1}{2} \pm \frac{1}{2} \sqrt{5}, \frac{1}{2} \mp \frac{1}{2} \sqrt{5}}
---
[61A-140,5] = [-163/14+7/2*5^(1/2), 163/28-7/4*5^(1/2)-31/4*I*7^(1/2)*5^(1/2)+2909/196*I*7^(1/2)]
[61A-140,6] = [-163/14+7/2*5^(1/2), 163/28-7/4*5^(1/2)+31/4*I*7^(1/2)*5^(1/2)-2909/196*I*7^(1/2)]
[61A-140,7] = [-163/14-7/2*5^(1/2), 163/28+7/4*5^(1/2)+31/4*I*7^(1/2)*5^(1/2)+2909/196*I*7^(1/2)]
[61A-140,8] = [-163/14-7/2*5^(1/2), 163/28+7/4*5^(1/2)-31/4*I*7^(1/2)*5^(1/2)-2909/196*I*7^(1/2)]
\brak{-\frac{163}{14}-\frac{7}{2} \sqrt{5}, \frac{163}{28} + \frac{7}{4} \sqrt{5} + \frac{2909}{196} \sqrt{-7} + \frac{31}{4} \sqrt{-35}}  and conjugates

MAY BE EASIER TO WORK BY IDENTIFYING [1,0,0,1] AND [1,0,0,-1]
[1,1,1,1] -> 2 Q0
[1,-1,-1,1] -> 2 [4/5, -2/5-3/25*5^(1/2)]
[1,1,-1,-1] -> ????
[1,-1,1,-1] -> ????
[61A-145,1] = 
[61A-145,2] = 
[61A-145,3] = 
[61A-145,4] = 
---
[61A-145,5] = []
[61A-145,6] = []
[61A-145,7] = []
[61A-145,8] = []

[1,1,1,1] -> 4 Q0
[1,-1,-1,1] -> []
[1,1,-1,-1] -> []
[1,-1,1,-1] -> []
[61A-160,1] = Q0
[61A-160,2] = Q0
[61A-160,3] = Q0
[61A-160,4] = Q0
---
[1,1,1,1] -> []
[1,-1,-1,1] -> 4 [-962/45, 481/45+20927/675*I*10^(1/2)]
[1,1,-1,-1] -> []
[1,-1,1,-1] -> 4 [-2, 1+I*2^(1/2)]
[61A-160,5] = [-962/45, 481/45+20927/675*I*10^(1/2)] + [-2, 1+I*2^(1/2)]
[61A-160,6] = [-962/45, 481/45-20927/675*I*10^(1/2)] + [-2, 1-I*2^(1/2)]
[61A-160,7] = [-962/45, 481/45-20927/675*I*10^(1/2)] + [-2, 1+I*2^(1/2)]
[61A-160,8] = [-962/45, 481/45+20927/675*I*10^(1/2)] + [-2, 1-I*2^(1/2)]
\brak{-\frac{962}{45}, \frac{481}{45} + \frac{20927}{675} \sqrt{-10}} + \brak{-2, 1 + \sqrt{-2}}  and conjugates

[1,1,1,1] -> 2 Q0
[1,-1,-1,1] -> 2 Q5
[1,1,-1,-1] -> []
[1,-1,1,-1] -> []
[61A-165,1] = [-1/2-1/2*5^(1/2), 1/2+1/2*5^(1/2)]
[61A-165,2] = [-1/2+1/2*5^(1/2), 1/2-1/2*5^(1/2)]
[61A-165,3] = [-1/2+1/2*5^(1/2), 1/2-1/2*5^(1/2)]
[61A-165,4] = [-1/2-1/2*5^(1/2), 1/2+1/2*5^(1/2)]
\brak{-\frac{1}{2} \pm \frac{1}{2} \sqrt{5}, \frac{1}{2} \mp \frac{1}{2} \sqrt{5}}
---
[1,1,1,1] -> []
[1,-1,-1,1] -> []
[1,1,-1,-1] -> 2 [-20/11, 10/11-27/121*I*11^(1/2)]
[1,-1,1,-1] -> 2 [-5226707910319/1237615502695, 5226707910319/2475231005390-21580193649731343279/20421608758404575150*I*55^(1/2)]
[61A-165,5] = [-486813/76582-13637/6962*5^(1/2), 486813/153164+13637/13924*5^(1/2)+20169123/9036676*I*11^(1/2)*5^(1/2)+536241399/99403436*I*11^(1/2)]
[61A-165,6] = [-486813/76582+13637/6962*5^(1/2), 486813/153164-13637/13924*5^(1/2)-20169123/9036676*I*11^(1/2)*5^(1/2)+536241399/99403436*I*11^(1/2)]
[61A-165,7] = [-486813/76582+13637/6962*5^(1/2), 486813/153164-13637/13924*5^(1/2)+20169123/9036676*I*11^(1/2)*5^(1/2)-536241399/99403436*I*11^(1/2)]
[61A-165,8] = [-486813/76582-13637/6962*5^(1/2), 486813/153164+13637/13924*5^(1/2)-20169123/9036676*I*11^(1/2)*5^(1/2)-536241399/99403436*I*11^(1/2)]
\brak{-\frac{486813}{76582}-\frac{13637}{6962} \sqrt{5}, \frac{486813}{153164}+\frac{13637}{13924} \sqrt{5}+\frac{536241399}{99403436} \sqrt{-11} + \frac{20169123}{9036676}\sqrt{-55}}


====================

[61A-148,10]
[29 + 45 61 + 2 61^2  + 20 61^3  + 40 61^4  + O(61^5),
51 + 31 61 + 43 61^2  + 54 61^3  + 39 61^4  + O(61^5)]

[61A-148,11]
[(48 + 7 61 + 29 61^2  + 20 61^3  + 10 61^4  + O(61^5)) + (59 + 44 61 + 20 61^2  + 30 61^3  + 53 61^4  + O(61^5)) sqrt(37),
(38 + 14 61 + 39 61^2  + 33 61^3  + 10 61^4  + O(61^5)) + (56 + 50 61 + 22 61^2  + 58 61^3  + 57 61^4  + O(61^5)) sqrt(37) ]

[61A-148,12]
[(48 + 7 61 + 29 61^2  + 20 61^3  + 10 61^4  + O(61^5)) + (2 + 16 61 + 40 61^2  + 30 61^3  + 7 61^4  + O(61^5)) sqrt(37),
(38 + 14 61 + 39 61^2  + 33 61^3  + 10 61^4  + O(61^5)) + (5 + 10 61 + 38 61^2  + 2 61^3  + 3 61^4  + O(61^5)) sqrt(37) ]

X and Y coords satisfy respective polynomials
X^3 - 3 X^2 - X + 1
Y^3 - 5 Y^2 + 3 Y + 5

====================

[61A-401,6]
[19 + 34 61 + 17 61^2  + 46 61^3  + 32 61^4 + O(61^5),
19 + 37 61 + 57 61^2 + 11 61^3  + 34 61^4 + O(61^5)]

[61A-401,7]
[(29 + 26 61 + 36 61^2  + 7 61^3  + 12 61^4 + O(61^5)) + (52 + 11 61 + 21 61^2  + 32 61^3  + 48 61^4 + O(61^5)) sqrt(401),
(48 + 53 61 + 8 61^2  + 59 61^3  + 12 61^4 + O(61^5)) + (58 + 60 61 + 9 61^2  + 28 61^3  + 51 61^4 + O(61^5)) sqrt(401)]

[61A-401,8]
[(29 + 26 61 + 36 61^2  + 7 61^3  + 12 61^4 + O(61^5)) + (9 + 49 61 + 39 61^2  + 28 61^3  + 12 61^4 + O(61^5)) sqrt(401),
(48 + 53 61 + 8 61^2  + 59 61^3  + 12 61^4 + O(61^5)) + (3 + 51 61^2  + 32 61^3  + 9 61^4  + O(61^5)) sqrt(401)]

[61A-401,9]
[(59 + 47 61 + 15 61^2  + 30 61^3  + 32 61^4 + O(61^5)) + (28 + 6 61 + 40 61^2  + 36 61^3  + 4 61^4 + O(61^5)) sqrt(401),
(37 + 49 61 + 53 61^2  + 56 61^3  + 30 61^4 + O(61^5)) + (50 + 2 61 + 38 61^2  + 6 61^3  + 11 61^4 + O(61^5)) sqrt(401)]

[61A-401,10]
[(59 + 47 61 + 15 61^2  + 30 61^3  + 32 61^4 + O(61^5)) + (33 + 54 61 + 20 61^2  + 24 61^3  + 56 61^4 + O(61^5)) sqrt(401),
(37 + 49 61 + 53 61^2  + 56 61^3  + 30 61^4 + O(61^5)) + (11 + 58 61 + 22 61^2  + 54 61^3  + 49 61^4 + O(61^5)) sqrt(401)]

X and Y coords satisfy respective polynomials:
X^5 - 12 X^4 + 34 X^3 - 5 X^2 - 24 X + 9
Y^5 - 6 Y^4 - 181 Y^3 - 428 Y^2 - 346 Y - 93