{
  "108+54*sqrt(2)": {
    "param-latex": "$108+54\\sqrt{2}$",
    "comment": "The coefficients are $a=2$ and $b=1$ (CITE{ST}, Table 1, row 13). The period at $t$ is HREF{T649#108+54*sqrt(2)}[$N$] and the period at $t^\\sigma$ is HREF{T649#108-54*sqrt(2)}[$N$]. Here $t=t_Q([3,0,2])$ and $t^\\sigma=t_Q([6,0,1])$, with CM order discriminant $\\Delta=-24$."
  },
  "18+6*sqrt(3)": {
    "param-latex": "$18+6\\sqrt{3}$",
    "comment": "The coefficients are $a=2$ and $b=1$ (CITE{ST}, Table 1, row 14). The period at $t$ is HREF{T649#18+6*sqrt(3)}[$N$] and the period at $t^\\sigma$ is HREF{T650#18-6*sqrt(3)}[$\\widetilde N$]. Here $t=t_Q([9,0,1])$ and $t^\\sigma=t_Q([9,6,2])$, with CM order discriminant $\\Delta=-36$."
  },
  "270+162*sqrt(3)": {
    "param-latex": "$270+162\\sqrt{3}$",
    "comment": "The coefficients are $a=2$ and $b=1$ (CITE{ST}, Table 1, row 15). The period at $t$ is HREF{T649#270+162*sqrt(3)}[$N$] and the period at $t^\\sigma$ is HREF{T649#270-162*sqrt(3)}[$N$]. Here $t=t_Q([1,0,1])$ and $t^\\sigma=t_Q([2,2,1])$, with CM order discriminant $\\Delta=-4$."
  },
  "729+405*sqrt(3)": {
    "param-latex": "$729+405\\sqrt{3}$",
    "comment": "The coefficients are $a=4$ and $b=-1$ (CITE{ST}, Table 1, row 16). The period at $t$ is HREF{T649#729+405*sqrt(3)}[$N$] and the period at $t^\\sigma$ is HREF{T649#729-405*sqrt(3)}[$N$]. Here $t=t_Q([3,0,4])$ and $t^\\sigma=t_Q([12,0,1])$, with CM order discriminant $\\Delta=-48$."
  },
  "-27/2-27/2*sqrt(5)": {
    "param-latex": "$\\frac{-27}{2}-\\frac{27}{2}\\sqrt{5}$",
    "comment": "The coefficients are $a=5$ and $b=1$ (CITE{ST}, Table 1, row 17). The period at $t$ is HREF{T649#-27/2-27/2*sqrt(5)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-27/2+27/2*sqrt(5)}[$\\widetilde N$]. Here $t=t_Q([3,-3,2])$ and $t^\\sigma=t_Q([6,3,1])$, with CM order discriminant $\\Delta=-15$."
  },
  "3375/2+1485/2*sqrt(5)": {
    "param-latex": "$\\frac{3375}{2}+\\frac{1485}{2}\\sqrt{5}$",
    "comment": "The coefficients are $a=5$ and $b=1$ (CITE{ST}, Table 1, row 18). The period at $t$ is HREF{T649#3375/2+1485/2*sqrt(5)}[$N$] and the period at $t^\\sigma$ is HREF{T649#3375/2-1485/2*sqrt(5)}[$N$]. Here $t=t_Q([3,0,5])$ and $t^\\sigma=t_Q([15,0,1])$, with CM order discriminant $\\Delta=-60$."
  },
  "-4320-1944*sqrt(5)": {
    "param-latex": "$-4320-1944\\sqrt{5}$",
    "comment": "The coefficients are $a=25$ and $b=-1$ (CITE{ST}, Table 1, row 19). The period at $t$ is HREF{T649#-4320-1944*sqrt(5)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-4320+1944*sqrt(5)}[$\\widetilde N$]. Here $t=t_Q([3,-3,7])$ and $t^\\sigma=t_Q([21,3,1])$, with CM order discriminant $\\Delta=-75$."
  },
  "32+2*sqrt(6)": {
    "param-latex": "$32+2\\sqrt{6}$",
    "comment": "The coefficients are $a=2$ and $b=1$ (CITE{ST}, Table 1, row 20). The period at $t$ is HREF{T649#32+2*sqrt(6)}[$N$] and the period at $t^\\sigma$ is HREF{T649#32-2*sqrt(6)}[$N$]. Here $t=t_Q([9,0,2])$ and $t^\\sigma=t_Q([18,0,1])$, with CM order discriminant $\\Delta=-72$."
  },
  "3672+1458*sqrt(6)": {
    "param-latex": "$3672+1458\\sqrt{6}$",
    "comment": "The coefficients are $a=2$ and $b=1$ (CITE{ST}, Table 1, row 21). The period at $t$ is HREF{T649#3672+1458*sqrt(6)}[$N$] and the period at $t^\\sigma$ is HREF{T649#3672-1458*sqrt(6)}[$N$]. Here $t=t_Q([1,0,2])$ and $t^\\sigma=t_Q([2,0,1])$, with CM order discriminant $\\Delta=-8$."
  },
  "-864-216*sqrt(17)": {
    "param-latex": "$-864-216\\sqrt{17}$",
    "comment": "The coefficients are $a=17$ and $b=1$ (CITE{ST}, Table 1, row 22). The period at $t$ is HREF{T649#-864-216*sqrt(17)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-864+216*sqrt(17)}[$\\widetilde N$]. Here $t=t_Q([3,-3,5])$ and $t^\\sigma=t_Q([15,3,1])$, with CM order discriminant $\\Delta=-51$."
  },
  "-163296-35640*sqrt(21)": {
    "param-latex": "$-163296-35640\\sqrt{21}$",
    "comment": "The coefficients are $a=49$ and $b=-1$ (CITE{ST}, Table 1, row 23). The period at $t$ is HREF{T649#-163296-35640*sqrt(21)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-163296+35640*sqrt(21)}[$\\widetilde N$]. Here $t=t_Q([3,-3,13])$ and $t^\\sigma=t_Q([39,3,1])$, with CM order discriminant $\\Delta=-147$."
  },
  "4-4*sqrt(33)": {
    "param-latex": "$4-4\\sqrt{33}$",
    "comment": "The coefficients are $a=11$ and $b=1$ (CITE{ST}, Table 1, row 24). The period at $t$ is HREF{T649#4-4*sqrt(33)}[$N$] and the period at $t^\\sigma$ is HREF{T650#4+4*sqrt(33)}[$\\widetilde N$]. Here $t=t_Q([9,-9,5])$ and $t^\\sigma=t_Q([27,3,1])$, with CM order discriminant $\\Delta=-99$."
  },
  "-16740-2916*sqrt(33)": {
    "param-latex": "$-16740-2916\\sqrt{33}$",
    "comment": "The coefficients are $a=11$ and $b=1$ (CITE{ST}, Table 1, row 25). The period at $t$ is HREF{T649#-16740-2916*sqrt(33)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-16740+2916*sqrt(33)}[$\\widetilde N$]. Here $t=t_Q([1,-1,3])$ and $t^\\sigma=t_Q([5,3,1])$, with CM order discriminant $\\Delta=-11$."
  },
  "-55296-8640*sqrt(41)": {
    "param-latex": "$-55296-8640\\sqrt{41}$",
    "comment": "The coefficients are $a=41$ and $b=1$ (CITE{ST}, Table 1, row 26). The period at $t$ is HREF{T649#-55296-8640*sqrt(41)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-55296+8640*sqrt(41)}[$\\widetilde N$]. Here $t=t_Q([3,-3,11])$ and $t^\\sigma=t_Q([33,3,1])$, with CM order discriminant $\\Delta=-123$."
  },
  "-13500000-1431000*sqrt(89)": {
    "param-latex": "$-13500000-1431000\\sqrt{89}$",
    "comment": "The coefficients are $a=89$ and $b=1$ (CITE{ST}, Table 1, row 27). The period at $t$ is HREF{T649#-13500000-1431000*sqrt(89)}[$N$] and the period at $t^\\sigma$ is HREF{T650#-13500000+1431000*sqrt(89)}[$\\widetilde N$]. Here $t=t_Q([3,-3,23])$ and $t^\\sigma=t_Q([69,3,1])$, with CM order discriminant $\\Delta=-267$."
  }
}