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13401 bytes, as of the version from 2026-11-02 11:02 (current). Recorded here, not run.
{
"cm-m288-27-24-8": {
"param-latex": "$t_Q([27,24,8])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-288$. The prescribed normalization is $(a,b,c,d)=(2,1,1,8)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 52). The scalar inputs are HREF{T650#cm-m288-27-24-8}[$\\widetilde N(t_1)$] at $t_1=t_Q([27,24,8])$; HREF{T650#cm-m288-27-12-4}[$\\widetilde N(t_2)$] at $t_2=t_Q([27,12,4])$; HREF{T649#cm-m288-72-0-1}[$N(t_3)$] at $t_3=t_Q([72,0,1])$; HREF{T649#cm-m288-9-0-8}[$N(t_4)$] at $t_4=t_Q([9,0,8])$."
},
"cm-m96-12-12-5": {
"param-latex": "$t_Q([12,12,5])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-96$. The prescribed normalization is $(a,b,c,d)=(2,1,1,8)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 53). The scalar inputs are HREF{T649#cm-m96-12-12-5}[$N(t_1)$] at $t_1=t_Q([12,12,5])$; HREF{T650#cm-m96-15-12-4}[$\\widetilde N(t_2)$] at $t_2=t_Q([15,12,4])$; HREF{T649#cm-m96-24-0-1}[$N(t_3)$] at $t_3=t_Q([24,0,1])$; HREF{T649#cm-m96-3-0-8}[$N(t_4)$] at $t_4=t_Q([3,0,8])$."
},
"cm-m192-12-m12-7": {
"param-latex": "$t_Q([12,-12,7])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-192$. The prescribed normalization is $(a,b,c,d)=(4,1,1,16)$, with sign variant $j=6$ (CITE{ST}, Tables 2 and 3, row 54). The scalar inputs are HREF{T649#cm-m192-12-m12-7}[$N(t_1)$] at $t_1=t_Q([12,-12,7])$; HREF{T650#cm-m192-21-12-4}[$\\widetilde N(t_2)$] at $t_2=t_Q([21,12,4])$; HREF{T649#cm-m192-48-0-1}[$N(t_3)$] at $t_3=t_Q([48,0,1])$; HREF{T649#cm-m192-3-0-16}[$N(t_4)$] at $t_4=t_Q([3,0,16])$."
},
"cm-m32-4-m4-3": {
"param-latex": "$t_Q([4,-4,3])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-32$. The prescribed normalization is $(a,b,c,d)=(2,1,1,8)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 55). The scalar inputs are HREF{T649#cm-m32-4-m4-3}[$N(t_1)$] at $t_1=t_Q([4,-4,3])$; HREF{T650#cm-m32-8-8-3}[$\\widetilde N(t_2)$] at $t_2=t_Q([8,8,3])$; HREF{T649#cm-m32-8-0-1}[$N(t_3)$] at $t_3=t_Q([8,0,1])$; HREF{T649#cm-m32-1-0-8}[$N(t_4)$] at $t_4=t_Q([1,0,8])$."
},
"cm-m120-30-0-1": {
"param-latex": "$t_Q([30,0,1])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-120$. The prescribed normalization is $(a,b,c,d)=(1,2,5,10)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 56). The scalar inputs are HREF{T649#cm-m120-30-0-1}[$N(t_1)$] at $t_1=t_Q([30,0,1])$; HREF{T649#cm-m120-15-0-2}[$N(t_2)$] at $t_2=t_Q([15,0,2])$; HREF{T649#cm-m120-6-0-5}[$N(t_3)$] at $t_3=t_Q([6,0,5])$; HREF{T649#cm-m120-3-0-10}[$N(t_4)$] at $t_4=t_Q([3,0,10])$."
},
"cm-m180-18-18-7": {
"param-latex": "$t_Q([18,18,7])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-180$. The prescribed normalization is $(a,b,c,d)=(5,1,2,10)$, with sign variant $j=2$ (CITE{ST}, Tables 2 and 3, row 57). The scalar inputs are HREF{T650#cm-m180-18-18-7}[$\\widetilde N(t_1)$] at $t_1=t_Q([18,18,7])$; HREF{T650#cm-m180-27-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([27,6,2])$; HREF{T649#cm-m180-45-0-1}[$N(t_3)$] at $t_3=t_Q([45,0,1])$; HREF{T649#cm-m180-9-0-5}[$N(t_4)$] at $t_4=t_Q([9,0,5])$."
},
"cm-m20-2-m2-3": {
"param-latex": "$t_Q([2,-2,3])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-20$. The prescribed normalization is $(a,b,c,d)=(5,1,2,10)$, with sign variant $j=2$ (CITE{ST}, Tables 2 and 3, row 58). The scalar inputs are HREF{T649#cm-m20-2-m2-3}[$N(t_1)$] at $t_1=t_Q([2,-2,3])$; HREF{T650#cm-m20-7-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([7,6,2])$; HREF{T649#cm-m20-5-0-1}[$N(t_3)$] at $t_3=t_Q([5,0,1])$; HREF{T649#cm-m20-1-0-5}[$N(t_4)$] at $t_4=t_Q([1,0,5])$."
},
"cm-m240-60-0-1": {
"param-latex": "$t_Q([60,0,1])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-240$. The prescribed normalization is $(a,b,c,d)=(1,4,5,20)$, with sign variant $j=1$ (CITE{ST}, Tables 2 and 3, row 59). The scalar inputs are HREF{T649#cm-m240-60-0-1}[$N(t_1)$] at $t_1=t_Q([60,0,1])$; HREF{T649#cm-m240-15-0-4}[$N(t_2)$] at $t_2=t_Q([15,0,4])$; HREF{T649#cm-m240-12-0-5}[$N(t_3)$] at $t_3=t_Q([12,0,5])$; HREF{T649#cm-m240-3-0-20}[$N(t_4)$] at $t_4=t_Q([3,0,20])$."
},
"cm-m84-6-m6-5": {
"param-latex": "$t_Q([6,-6,5])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-84$. The prescribed normalization is $(a,b,c,d)=(7,1,2,14)$, with sign variant $j=1$ (CITE{ST}, Tables 2 and 3, row 60). The scalar inputs are HREF{T649#cm-m84-6-m6-5}[$N(t_1)$] at $t_1=t_Q([6,-6,5])$; HREF{T650#cm-m84-15-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([15,6,2])$; HREF{T649#cm-m84-21-0-1}[$N(t_3)$] at $t_3=t_Q([21,0,1])$; HREF{T649#cm-m84-3-0-7}[$N(t_4)$] at $t_4=t_Q([3,0,7])$."
},
"cm-m132-6-m6-7": {
"param-latex": "$t_Q([6,-6,7])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-132$. The prescribed normalization is $(a,b,c,d)=(11,1,2,22)$, with sign variant $j=2$ (CITE{ST}, Tables 2 and 3, row 61). The scalar inputs are HREF{T649#cm-m132-6-m6-7}[$N(t_1)$] at $t_1=t_Q([6,-6,7])$; HREF{T650#cm-m132-21-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([21,6,2])$; HREF{T649#cm-m132-33-0-1}[$N(t_3)$] at $t_3=t_Q([33,0,1])$; HREF{T649#cm-m132-3-0-11}[$N(t_4)$] at $t_4=t_Q([3,0,11])$."
},
"cm-m312-78-0-1": {
"param-latex": "$t_Q([78,0,1])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-312$. The prescribed normalization is $(a,b,c,d)=(1,2,13,26)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 62). The scalar inputs are HREF{T649#cm-m312-78-0-1}[$N(t_1)$] at $t_1=t_Q([78,0,1])$; HREF{T649#cm-m312-39-0-2}[$N(t_2)$] at $t_2=t_Q([39,0,2])$; HREF{T649#cm-m312-6-0-13}[$N(t_3)$] at $t_3=t_Q([6,0,13])$; HREF{T649#cm-m312-3-0-26}[$N(t_4)$] at $t_4=t_Q([3,0,26])$."
},
"cm-m195-3-m3-17": {
"param-latex": "$t_Q([3,-3,17])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-195$. The prescribed normalization is $(a,b,c,d)=(65,13,5,1)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 63). The scalar inputs are HREF{T649#cm-m195-3-m3-17}[$N(t_1)$] at $t_1=t_Q([3,-3,17])$; HREF{T649#cm-m195-15-15-7}[$N(t_2)$] at $t_2=t_Q([15,15,7])$; HREF{T650#cm-m195-21-15-5}[$\\widetilde N(t_3)$] at $t_3=t_Q([21,15,5])$; HREF{T650#cm-m195-51-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([51,3,1])$."
},
"cm-m408-102-0-1": {
"param-latex": "$t_Q([102,0,1])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-408$. The prescribed normalization is $(a,b,c,d)=(1,2,17,34)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 64). The scalar inputs are HREF{T649#cm-m408-102-0-1}[$N(t_1)$] at $t_1=t_Q([102,0,1])$; HREF{T649#cm-m408-51-0-2}[$N(t_2)$] at $t_2=t_Q([51,0,2])$; HREF{T649#cm-m408-6-0-17}[$N(t_3)$] at $t_3=t_Q([6,0,17])$; HREF{T649#cm-m408-3-0-34}[$N(t_4)$] at $t_4=t_Q([3,0,34])$."
},
"cm-m168-42-0-1": {
"param-latex": "$t_Q([42,0,1])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-168$. The prescribed normalization is $(a,b,c,d)=(1,2,7,14)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 65). The scalar inputs are HREF{T649#cm-m168-42-0-1}[$N(t_1)$] at $t_1=t_Q([42,0,1])$; HREF{T649#cm-m168-21-0-2}[$N(t_2)$] at $t_2=t_Q([21,0,2])$; HREF{T649#cm-m168-6-0-7}[$N(t_3)$] at $t_3=t_Q([6,0,7])$; HREF{T649#cm-m168-3-0-14}[$N(t_4)$] at $t_4=t_Q([3,0,14])$."
},
"cm-m228-6-m6-11": {
"param-latex": "$t_Q([6,-6,11])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-228$. The prescribed normalization is $(a,b,c,d)=(19,1,2,38)$, with sign variant $j=1$ (CITE{ST}, Tables 2 and 3, row 66). The scalar inputs are HREF{T649#cm-m228-6-m6-11}[$N(t_1)$] at $t_1=t_Q([6,-6,11])$; HREF{T650#cm-m228-33-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([33,6,2])$; HREF{T649#cm-m228-57-0-1}[$N(t_3)$] at $t_3=t_Q([57,0,1])$; HREF{T649#cm-m228-3-0-19}[$N(t_4)$] at $t_4=t_Q([3,0,19])$."
},
"cm-m315-9-m9-11": {
"param-latex": "$t_Q([9,-9,11])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-315$. The prescribed normalization is $(a,b,c,d)=(35,7,5,1)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 67). The scalar inputs are HREF{T649#cm-m315-9-m9-11}[$N(t_1)$] at $t_1=t_Q([9,-9,11])$; HREF{T650#cm-m315-27-21-7}[$\\widetilde N(t_2)$] at $t_2=t_Q([27,21,7])$; HREF{T650#cm-m315-27-15-5}[$\\widetilde N(t_3)$] at $t_3=t_Q([27,15,5])$; HREF{T650#cm-m315-81-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([81,3,1])$."
},
"cm-m35-1-m1-9": {
"param-latex": "$t_Q([1,-1,9])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-35$. The prescribed normalization is $(a,b,c,d)=(35,7,5,1)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 68). The scalar inputs are HREF{T649#cm-m35-1-m1-9}[$N(t_1)$] at $t_1=t_Q([1,-1,9])$; HREF{T649#cm-m35-5-m5-3}[$N(t_2)$] at $t_2=t_Q([5,-5,3])$; HREF{T649#cm-m35-7-7-3}[$N(t_3)$] at $t_3=t_Q([7,7,3])$; HREF{T650#cm-m35-11-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([11,3,1])$."
},
"cm-m435-3-m3-37": {
"param-latex": "$t_Q([3,-3,37])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-435$. The prescribed normalization is $(a,b,c,d)=(145,29,5,1)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 69). The scalar inputs are HREF{T649#cm-m435-3-m3-37}[$N(t_1)$] at $t_1=t_Q([3,-3,37])$; HREF{T649#cm-m435-15-m15-11}[$N(t_2)$] at $t_2=t_Q([15,-15,11])$; HREF{T650#cm-m435-33-15-5}[$\\widetilde N(t_3)$] at $t_3=t_Q([33,15,5])$; HREF{T650#cm-m435-111-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([111,3,1])$."
},
"cm-m372-6-m6-17": {
"param-latex": "$t_Q([6,-6,17])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-372$. The prescribed normalization is $(a,b,c,d)=(31,1,2,62)$, with sign variant $j=1$ (CITE{ST}, Tables 2 and 3, row 70). The scalar inputs are HREF{T649#cm-m372-6-m6-17}[$N(t_1)$] at $t_1=t_Q([6,-6,17])$; HREF{T650#cm-m372-51-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([51,6,2])$; HREF{T649#cm-m372-93-0-1}[$N(t_3)$] at $t_3=t_Q([93,0,1])$; HREF{T649#cm-m372-3-0-31}[$N(t_4)$] at $t_4=t_Q([3,0,31])$."
},
"cm-m555-3-m3-47": {
"param-latex": "$t_Q([3,-3,47])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-555$. The prescribed normalization is $(a,b,c,d)=(185,37,5,1)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 71). The scalar inputs are HREF{T649#cm-m555-3-m3-47}[$N(t_1)$] at $t_1=t_Q([3,-3,47])$; HREF{T649#cm-m555-15-m15-13}[$N(t_2)$] at $t_2=t_Q([15,-15,13])$; HREF{T650#cm-m555-39-15-5}[$\\widetilde N(t_3)$] at $t_3=t_Q([39,15,5])$; HREF{T650#cm-m555-141-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([141,3,1])$."
},
"cm-m795-3-m3-67": {
"param-latex": "$t_Q([3,-3,67])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-795$. The prescribed normalization is $(a,b,c,d)=(265,53,5,1)$, with sign variant $j=4$ (CITE{ST}, Tables 2 and 3, row 72). The scalar inputs are HREF{T649#cm-m795-3-m3-67}[$N(t_1)$] at $t_1=t_Q([3,-3,67])$; HREF{T649#cm-m795-15-m15-17}[$N(t_2)$] at $t_2=t_Q([15,-15,17])$; HREF{T650#cm-m795-51-15-5}[$\\widetilde N(t_3)$] at $t_3=t_Q([51,15,5])$; HREF{T650#cm-m795-201-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([201,3,1])$."
},
"cm-m708-6-m6-31": {
"param-latex": "$t_Q([6,-6,31])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-708$. The prescribed normalization is $(a,b,c,d)=(59,1,2,118)$, with sign variant $j=2$ (CITE{ST}, Tables 2 and 3, row 73). The scalar inputs are HREF{T649#cm-m708-6-m6-31}[$N(t_1)$] at $t_1=t_Q([6,-6,31])$; HREF{T650#cm-m708-93-6-2}[$\\widetilde N(t_2)$] at $t_2=t_Q([93,6,2])$; HREF{T649#cm-m708-177-0-1}[$N(t_3)$] at $t_3=t_Q([177,0,1])$; HREF{T649#cm-m708-3-0-59}[$N(t_4)$] at $t_4=t_Q([3,0,59])$."
},
"cm-m483-3-m3-41": {
"param-latex": "$t_Q([3,-3,41])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-483$. The prescribed normalization is $(a,b,c,d)=(161,23,7,1)$, with sign variant $j=1$ (CITE{ST}, Tables 2 and 3, row 74). The scalar inputs are HREF{T649#cm-m483-3-m3-41}[$N(t_1)$] at $t_1=t_Q([3,-3,41])$; HREF{T649#cm-m483-21-m21-11}[$N(t_2)$] at $t_2=t_Q([21,-21,11])$; HREF{T650#cm-m483-33-21-7}[$\\widetilde N(t_3)$] at $t_3=t_Q([33,21,7])$; HREF{T650#cm-m483-123-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([123,3,1])$."
},
"cm-m627-3-m3-53": {
"param-latex": "$t_Q([3,-3,53])$",
"comment": "The ordered inputs $t_1<t_2<t_3<t_4$ have CM order discriminant $\\Delta=-627$. The prescribed normalization is $(a,b,c,d)=(209,19,11,1)$, with sign variant $j=3$ (CITE{ST}, Tables 2 and 3, row 75). The scalar inputs are HREF{T649#cm-m627-3-m3-53}[$N(t_1)$] at $t_1=t_Q([3,-3,53])$; HREF{T649#cm-m627-33-33-13}[$N(t_2)$] at $t_2=t_Q([33,33,13])$; HREF{T650#cm-m627-39-33-11}[$\\widetilde N(t_3)$] at $t_3=t_Q([39,33,11])$; HREF{T650#cm-m627-159-3-1}[$\\widetilde N(t_4)$] at $t_4=t_Q([159,3,1])$."
}
}