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{
"-1": {
"comment": "The negative real boundary of the torus-zero region, with $k=-1$."
},
"0": {
"comment": "The Fermat specialization gives $N(0)=\\mu_3$, HREF{Mahler_measures_of_(short_random_walks)#3}[the three-step Mahler measure]."
},
"27": {
"comment": "The cubic factors into three linear factors, each of Mahler measure $\\mu_3$, so $N(27)=3\\mu_3$."
},
"-216": {
"comment": "At $t=t_Q([1,1,1])$, $C_t$ has CM order discriminant $\\Delta=-3$. The parameter is rational. CITE{ST}, Section 1."
},
"24": {
"comment": "At $t=t_Q([9,3,1])$, $C_t$ has CM order discriminant $\\Delta=-27$. The parameter is rational. CITE{ST}, Section 1. An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"54": {
"comment": "At $t=t_Q([3,0,1])$, $C_t$ has CM order discriminant $\\Delta=-12$. The parameter is rational. CITE{ST}, Section 1."
},
"108+54*sqrt(2)": {
"param-latex": "$108+54\\sqrt{2}$",
"comment": "At $t=t_Q([3,0,2])$, $C_t$ has CM order discriminant $\\Delta=-24$. The parameter is real quadratic. CITE{ST}, Table 1, row 13."
},
"108-54*sqrt(2)": {
"param-latex": "$108-54\\sqrt{2}$",
"comment": "At $t=t_Q([6,0,1])$, $C_t$ has CM order discriminant $\\Delta=-24$. The parameter is real quadratic. CITE{ST}, Table 1, row 13."
},
"18+6*sqrt(3)": {
"param-latex": "$18+6\\sqrt{3}$",
"comment": "At $t=t_Q([9,0,1])$, $C_t$ has CM order discriminant $\\Delta=-36$. The parameter is real quadratic. CITE{ST}, Table 1, row 14."
},
"18-6*sqrt(3)": {
"param-latex": "$18-6\\sqrt{3}$",
"comment": "At $t=t_Q([9,6,2])$, $C_t$ has CM order discriminant $\\Delta=-36$. The parameter is real quadratic. CITE{ST}, Table 1, row 14."
},
"270+162*sqrt(3)": {
"param-latex": "$270+162\\sqrt{3}$",
"comment": "At $t=t_Q([1,0,1])$, $C_t$ has CM order discriminant $\\Delta=-4$. The parameter is real quadratic. CITE{ST}, Table 1, row 15."
},
"270-162*sqrt(3)": {
"param-latex": "$270-162\\sqrt{3}$",
"comment": "At $t=t_Q([2,2,1])$, $C_t$ has CM order discriminant $\\Delta=-4$. The parameter is real quadratic. CITE{ST}, Table 1, row 15."
},
"729+405*sqrt(3)": {
"param-latex": "$729+405\\sqrt{3}$",
"comment": "At $t=t_Q([3,0,4])$, $C_t$ has CM order discriminant $\\Delta=-48$. The parameter is real quadratic. CITE{ST}, Table 1, row 16."
},
"729-405*sqrt(3)": {
"param-latex": "$729-405\\sqrt{3}$",
"comment": "At $t=t_Q([12,0,1])$, $C_t$ has CM order discriminant $\\Delta=-48$. The parameter is real quadratic. CITE{ST}, Table 1, row 16."
},
"-27/2-27/2*sqrt(5)": {
"param-latex": "$\\frac{-27}{2}-\\frac{27}{2}\\sqrt{5}$",
"comment": "At $t=t_Q([3,-3,2])$, $C_t$ has CM order discriminant $\\Delta=-15$. The parameter is real quadratic. CITE{ST}, Table 1, row 17."
},
"-27/2+27/2*sqrt(5)": {
"param-latex": "$\\frac{-27}{2}+\\frac{27}{2}\\sqrt{5}$",
"comment": "At $t=t_Q([6,3,1])$, $C_t$ has CM order discriminant $\\Delta=-15$. The parameter is real quadratic. CITE{ST}, Table 1, row 17."
},
"3375/2+1485/2*sqrt(5)": {
"param-latex": "$\\frac{3375}{2}+\\frac{1485}{2}\\sqrt{5}$",
"comment": "At $t=t_Q([3,0,5])$, $C_t$ has CM order discriminant $\\Delta=-60$. The parameter is real quadratic. CITE{ST}, Table 1, row 18."
},
"3375/2-1485/2*sqrt(5)": {
"param-latex": "$\\frac{3375}{2}-\\frac{1485}{2}\\sqrt{5}$",
"comment": "At $t=t_Q([15,0,1])$, $C_t$ has CM order discriminant $\\Delta=-60$. The parameter is real quadratic. CITE{ST}, Table 1, row 18."
},
"-4320-1944*sqrt(5)": {
"param-latex": "$-4320-1944\\sqrt{5}$",
"comment": "At $t=t_Q([3,-3,7])$, $C_t$ has CM order discriminant $\\Delta=-75$. The parameter is real quadratic. CITE{ST}, Table 1, row 19."
},
"-4320+1944*sqrt(5)": {
"param-latex": "$-4320+1944\\sqrt{5}$",
"comment": "At $t=t_Q([21,3,1])$, $C_t$ has CM order discriminant $\\Delta=-75$. The parameter is real quadratic. CITE{ST}, Table 1, row 19."
},
"32+2*sqrt(6)": {
"param-latex": "$32+2\\sqrt{6}$",
"comment": "At $t=t_Q([9,0,2])$, $C_t$ has CM order discriminant $\\Delta=-72$. The parameter is real quadratic. CITE{ST}, Table 1, row 20."
},
"32-2*sqrt(6)": {
"param-latex": "$32-2\\sqrt{6}$",
"comment": "At $t=t_Q([18,0,1])$, $C_t$ has CM order discriminant $\\Delta=-72$. The parameter is real quadratic. CITE{ST}, Table 1, row 20."
},
"3672+1458*sqrt(6)": {
"param-latex": "$3672+1458\\sqrt{6}$",
"comment": "At $t=t_Q([1,0,2])$, $C_t$ has CM order discriminant $\\Delta=-8$. The parameter is real quadratic. CITE{ST}, Table 1, row 21."
},
"3672-1458*sqrt(6)": {
"param-latex": "$3672-1458\\sqrt{6}$",
"comment": "At $t=t_Q([2,0,1])$, $C_t$ has CM order discriminant $\\Delta=-8$. The parameter is real quadratic. CITE{ST}, Table 1, row 21."
},
"-864-216*sqrt(17)": {
"param-latex": "$-864-216\\sqrt{17}$",
"comment": "At $t=t_Q([3,-3,5])$, $C_t$ has CM order discriminant $\\Delta=-51$. The parameter is real quadratic. CITE{ST}, Table 1, row 22."
},
"-864+216*sqrt(17)": {
"param-latex": "$-864+216\\sqrt{17}$",
"comment": "At $t=t_Q([15,3,1])$, $C_t$ has CM order discriminant $\\Delta=-51$. The parameter is real quadratic. CITE{ST}, Table 1, row 22."
},
"-163296-35640*sqrt(21)": {
"param-latex": "$-163296-35640\\sqrt{21}$",
"comment": "At $t=t_Q([3,-3,13])$, $C_t$ has CM order discriminant $\\Delta=-147$. The parameter is real quadratic. CITE{ST}, Table 1, row 23."
},
"-163296+35640*sqrt(21)": {
"param-latex": "$-163296+35640\\sqrt{21}$",
"comment": "At $t=t_Q([39,3,1])$, $C_t$ has CM order discriminant $\\Delta=-147$. The parameter is real quadratic. CITE{ST}, Table 1, row 23."
},
"4-4*sqrt(33)": {
"param-latex": "$4-4\\sqrt{33}$",
"comment": "At $t=t_Q([9,-9,5])$, $C_t$ has CM order discriminant $\\Delta=-99$. The parameter is real quadratic. CITE{ST}, Table 1, row 24."
},
"4+4*sqrt(33)": {
"param-latex": "$4+4\\sqrt{33}$",
"comment": "At $t=t_Q([27,3,1])$, $C_t$ has CM order discriminant $\\Delta=-99$. The parameter is real quadratic. CITE{ST}, Table 1, row 24."
},
"-16740-2916*sqrt(33)": {
"param-latex": "$-16740-2916\\sqrt{33}$",
"comment": "At $t=t_Q([1,-1,3])$, $C_t$ has CM order discriminant $\\Delta=-11$. The parameter is real quadratic. CITE{ST}, Table 1, row 25."
},
"-16740+2916*sqrt(33)": {
"param-latex": "$-16740+2916\\sqrt{33}$",
"comment": "At $t=t_Q([5,3,1])$, $C_t$ has CM order discriminant $\\Delta=-11$. The parameter is real quadratic. CITE{ST}, Table 1, row 25."
},
"-55296-8640*sqrt(41)": {
"param-latex": "$-55296-8640\\sqrt{41}$",
"comment": "At $t=t_Q([3,-3,11])$, $C_t$ has CM order discriminant $\\Delta=-123$. The parameter is real quadratic. CITE{ST}, Table 1, row 26."
},
"-55296+8640*sqrt(41)": {
"param-latex": "$-55296+8640\\sqrt{41}$",
"comment": "At $t=t_Q([33,3,1])$, $C_t$ has CM order discriminant $\\Delta=-123$. The parameter is real quadratic. CITE{ST}, Table 1, row 26."
},
"-13500000-1431000*sqrt(89)": {
"param-latex": "$-13500000-1431000\\sqrt{89}$",
"comment": "At $t=t_Q([3,-3,23])$, $C_t$ has CM order discriminant $\\Delta=-267$. The parameter is real quadratic. CITE{ST}, Table 1, row 27."
},
"-13500000+1431000*sqrt(89)": {
"param-latex": "$-13500000+1431000\\sqrt{89}$",
"comment": "At $t=t_Q([69,3,1])$, $C_t$ has CM order discriminant $\\Delta=-267$. The parameter is real quadratic. CITE{ST}, Table 1, row 27."
},
"1": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"2": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"3": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"4": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"5": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"6": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"7": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"8": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"9": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"10": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"11": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"12": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"13": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"14": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"15": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"16": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"17": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"18": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"19": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"20": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"21": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"22": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"23": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"25": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"26": {
"comment": "An ordinary companion at an integer parameter of the modified-period arithmetic family in CITE{S}, Table 2; those proposed $L$-value identities are for $\\widetilde N$, not $N$."
},
"-27": {
"comment": "An exterior Hessian argument with a proved $L$-value evaluation listed in CITE{S}, Table 1."
},
"-8": {
"comment": "An exterior Hessian argument with a proved $L$-value evaluation listed in CITE{S}, Table 1."
},
"32": {
"comment": "An exterior Hessian argument with a proved $L$-value evaluation listed in CITE{S}, Table 1. CITE{formula-related-g} relates this value to HREF{Mahler_measures_of_1_x_1_y_x_y-k_xy#4}[$g(4)$]."
},
"125": {
"comment": "An exterior Hessian argument with a proved $L$-value evaluation listed in CITE{S}, Table 1."
},
"cm-m108-27-0-1": {
"param-latex": "$t_Q([27,0,1])$",
"comment": "At $t=t_Q([27,0,1])$, $C_t$ has CM order discriminant $\\Delta=-108$. The parameter is real cubic; its other two algebraic conjugates are nonreal. CITE{Supplement}, entry ν-C-1-1."
},
"cm-m12-1-0-3": {
"param-latex": "$t_Q([1,0,3])$",
"comment": "At $t=t_Q([1,0,3])$, $C_t$ has CM order discriminant $\\Delta=-12$. The parameter is real cubic; its other two algebraic conjugates are nonreal. CITE{Supplement}, entry ν-C-2-1."
},
"cm-m243-63-3-1": {
"param-latex": "$t_Q([63,3,1])$",
"comment": "At $t=t_Q([63,3,1])$, $C_t$ has CM order discriminant $\\Delta=-243$. The parameter is real cubic; its other two algebraic conjugates are nonreal. CITE{Supplement}, entry ν-C-3-1."
},
"cm-m27-1-m1-7": {
"param-latex": "$t_Q([1,-1,7])$",
"comment": "At $t=t_Q([1,-1,7])$, $C_t$ has CM order discriminant $\\Delta=-27$. The parameter is real cubic; its other two algebraic conjugates are nonreal. CITE{Supplement}, entry ν-C-4-1."
},
"cm-m288-27-24-8": {
"param-latex": "$t_Q([27,24,8])$",
"comment": "At $t=t_Q([27,24,8])$, $C_t$ has CM order discriminant $\\Delta=-288$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 52."
},
"cm-m288-27-12-4": {
"param-latex": "$t_Q([27,12,4])$",
"comment": "At $t=t_Q([27,12,4])$, $C_t$ has CM order discriminant $\\Delta=-288$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 52."
},
"cm-m288-72-0-1": {
"param-latex": "$t_Q([72,0,1])$",
"comment": "At $t=t_Q([72,0,1])$, $C_t$ has CM order discriminant $\\Delta=-288$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 52."
},
"cm-m288-9-0-8": {
"param-latex": "$t_Q([9,0,8])$",
"comment": "At $t=t_Q([9,0,8])$, $C_t$ has CM order discriminant $\\Delta=-288$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 52."
},
"cm-m96-12-12-5": {
"param-latex": "$t_Q([12,12,5])$",
"comment": "At $t=t_Q([12,12,5])$, $C_t$ has CM order discriminant $\\Delta=-96$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 53."
},
"cm-m96-15-12-4": {
"param-latex": "$t_Q([15,12,4])$",
"comment": "At $t=t_Q([15,12,4])$, $C_t$ has CM order discriminant $\\Delta=-96$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 53."
},
"cm-m96-24-0-1": {
"param-latex": "$t_Q([24,0,1])$",
"comment": "At $t=t_Q([24,0,1])$, $C_t$ has CM order discriminant $\\Delta=-96$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 53."
},
"cm-m96-3-0-8": {
"param-latex": "$t_Q([3,0,8])$",
"comment": "At $t=t_Q([3,0,8])$, $C_t$ has CM order discriminant $\\Delta=-96$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 53."
},
"cm-m192-12-m12-7": {
"param-latex": "$t_Q([12,-12,7])$",
"comment": "At $t=t_Q([12,-12,7])$, $C_t$ has CM order discriminant $\\Delta=-192$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 54."
},
"cm-m192-21-12-4": {
"param-latex": "$t_Q([21,12,4])$",
"comment": "At $t=t_Q([21,12,4])$, $C_t$ has CM order discriminant $\\Delta=-192$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 54."
},
"cm-m192-48-0-1": {
"param-latex": "$t_Q([48,0,1])$",
"comment": "At $t=t_Q([48,0,1])$, $C_t$ has CM order discriminant $\\Delta=-192$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 54."
},
"cm-m192-3-0-16": {
"param-latex": "$t_Q([3,0,16])$",
"comment": "At $t=t_Q([3,0,16])$, $C_t$ has CM order discriminant $\\Delta=-192$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 54."
},
"cm-m32-4-m4-3": {
"param-latex": "$t_Q([4,-4,3])$",
"comment": "At $t=t_Q([4,-4,3])$, $C_t$ has CM order discriminant $\\Delta=-32$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 55."
},
"cm-m32-8-8-3": {
"param-latex": "$t_Q([8,8,3])$",
"comment": "At $t=t_Q([8,8,3])$, $C_t$ has CM order discriminant $\\Delta=-32$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 55."
},
"cm-m32-8-0-1": {
"param-latex": "$t_Q([8,0,1])$",
"comment": "At $t=t_Q([8,0,1])$, $C_t$ has CM order discriminant $\\Delta=-32$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 55."
},
"cm-m32-1-0-8": {
"param-latex": "$t_Q([1,0,8])$",
"comment": "At $t=t_Q([1,0,8])$, $C_t$ has CM order discriminant $\\Delta=-32$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 55."
},
"cm-m120-30-0-1": {
"param-latex": "$t_Q([30,0,1])$",
"comment": "At $t=t_Q([30,0,1])$, $C_t$ has CM order discriminant $\\Delta=-120$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 56."
},
"cm-m120-15-0-2": {
"param-latex": "$t_Q([15,0,2])$",
"comment": "At $t=t_Q([15,0,2])$, $C_t$ has CM order discriminant $\\Delta=-120$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 56."
},
"cm-m120-6-0-5": {
"param-latex": "$t_Q([6,0,5])$",
"comment": "At $t=t_Q([6,0,5])$, $C_t$ has CM order discriminant $\\Delta=-120$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 56."
},
"cm-m120-3-0-10": {
"param-latex": "$t_Q([3,0,10])$",
"comment": "At $t=t_Q([3,0,10])$, $C_t$ has CM order discriminant $\\Delta=-120$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 56."
},
"cm-m180-18-18-7": {
"param-latex": "$t_Q([18,18,7])$",
"comment": "At $t=t_Q([18,18,7])$, $C_t$ has CM order discriminant $\\Delta=-180$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 57."
},
"cm-m180-27-6-2": {
"param-latex": "$t_Q([27,6,2])$",
"comment": "At $t=t_Q([27,6,2])$, $C_t$ has CM order discriminant $\\Delta=-180$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 57."
},
"cm-m180-45-0-1": {
"param-latex": "$t_Q([45,0,1])$",
"comment": "At $t=t_Q([45,0,1])$, $C_t$ has CM order discriminant $\\Delta=-180$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 57."
},
"cm-m180-9-0-5": {
"param-latex": "$t_Q([9,0,5])$",
"comment": "At $t=t_Q([9,0,5])$, $C_t$ has CM order discriminant $\\Delta=-180$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 57."
},
"cm-m20-2-m2-3": {
"param-latex": "$t_Q([2,-2,3])$",
"comment": "At $t=t_Q([2,-2,3])$, $C_t$ has CM order discriminant $\\Delta=-20$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 58."
},
"cm-m20-7-6-2": {
"param-latex": "$t_Q([7,6,2])$",
"comment": "At $t=t_Q([7,6,2])$, $C_t$ has CM order discriminant $\\Delta=-20$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 58."
},
"cm-m20-5-0-1": {
"param-latex": "$t_Q([5,0,1])$",
"comment": "At $t=t_Q([5,0,1])$, $C_t$ has CM order discriminant $\\Delta=-20$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 58."
},
"cm-m20-1-0-5": {
"param-latex": "$t_Q([1,0,5])$",
"comment": "At $t=t_Q([1,0,5])$, $C_t$ has CM order discriminant $\\Delta=-20$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 58."
},
"cm-m240-60-0-1": {
"param-latex": "$t_Q([60,0,1])$",
"comment": "At $t=t_Q([60,0,1])$, $C_t$ has CM order discriminant $\\Delta=-240$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 59."
},
"cm-m240-15-0-4": {
"param-latex": "$t_Q([15,0,4])$",
"comment": "At $t=t_Q([15,0,4])$, $C_t$ has CM order discriminant $\\Delta=-240$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 59."
},
"cm-m240-12-0-5": {
"param-latex": "$t_Q([12,0,5])$",
"comment": "At $t=t_Q([12,0,5])$, $C_t$ has CM order discriminant $\\Delta=-240$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 59."
},
"cm-m240-3-0-20": {
"param-latex": "$t_Q([3,0,20])$",
"comment": "At $t=t_Q([3,0,20])$, $C_t$ has CM order discriminant $\\Delta=-240$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 59."
},
"cm-m84-6-m6-5": {
"param-latex": "$t_Q([6,-6,5])$",
"comment": "At $t=t_Q([6,-6,5])$, $C_t$ has CM order discriminant $\\Delta=-84$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 60."
},
"cm-m84-15-6-2": {
"param-latex": "$t_Q([15,6,2])$",
"comment": "At $t=t_Q([15,6,2])$, $C_t$ has CM order discriminant $\\Delta=-84$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 60."
},
"cm-m84-21-0-1": {
"param-latex": "$t_Q([21,0,1])$",
"comment": "At $t=t_Q([21,0,1])$, $C_t$ has CM order discriminant $\\Delta=-84$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 60."
},
"cm-m84-3-0-7": {
"param-latex": "$t_Q([3,0,7])$",
"comment": "At $t=t_Q([3,0,7])$, $C_t$ has CM order discriminant $\\Delta=-84$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 60."
},
"cm-m132-6-m6-7": {
"param-latex": "$t_Q([6,-6,7])$",
"comment": "At $t=t_Q([6,-6,7])$, $C_t$ has CM order discriminant $\\Delta=-132$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 61."
},
"cm-m132-21-6-2": {
"param-latex": "$t_Q([21,6,2])$",
"comment": "At $t=t_Q([21,6,2])$, $C_t$ has CM order discriminant $\\Delta=-132$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 61."
},
"cm-m132-33-0-1": {
"param-latex": "$t_Q([33,0,1])$",
"comment": "At $t=t_Q([33,0,1])$, $C_t$ has CM order discriminant $\\Delta=-132$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 61."
},
"cm-m132-3-0-11": {
"param-latex": "$t_Q([3,0,11])$",
"comment": "At $t=t_Q([3,0,11])$, $C_t$ has CM order discriminant $\\Delta=-132$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 61."
},
"cm-m312-78-0-1": {
"param-latex": "$t_Q([78,0,1])$",
"comment": "At $t=t_Q([78,0,1])$, $C_t$ has CM order discriminant $\\Delta=-312$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 62."
},
"cm-m312-39-0-2": {
"param-latex": "$t_Q([39,0,2])$",
"comment": "At $t=t_Q([39,0,2])$, $C_t$ has CM order discriminant $\\Delta=-312$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 62."
},
"cm-m312-6-0-13": {
"param-latex": "$t_Q([6,0,13])$",
"comment": "At $t=t_Q([6,0,13])$, $C_t$ has CM order discriminant $\\Delta=-312$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 62."
},
"cm-m312-3-0-26": {
"param-latex": "$t_Q([3,0,26])$",
"comment": "At $t=t_Q([3,0,26])$, $C_t$ has CM order discriminant $\\Delta=-312$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 62."
},
"cm-m195-3-m3-17": {
"param-latex": "$t_Q([3,-3,17])$",
"comment": "At $t=t_Q([3,-3,17])$, $C_t$ has CM order discriminant $\\Delta=-195$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 63."
},
"cm-m195-15-15-7": {
"param-latex": "$t_Q([15,15,7])$",
"comment": "At $t=t_Q([15,15,7])$, $C_t$ has CM order discriminant $\\Delta=-195$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 63."
},
"cm-m195-21-15-5": {
"param-latex": "$t_Q([21,15,5])$",
"comment": "At $t=t_Q([21,15,5])$, $C_t$ has CM order discriminant $\\Delta=-195$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 63."
},
"cm-m195-51-3-1": {
"param-latex": "$t_Q([51,3,1])$",
"comment": "At $t=t_Q([51,3,1])$, $C_t$ has CM order discriminant $\\Delta=-195$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 63."
},
"cm-m408-102-0-1": {
"param-latex": "$t_Q([102,0,1])$",
"comment": "At $t=t_Q([102,0,1])$, $C_t$ has CM order discriminant $\\Delta=-408$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 64."
},
"cm-m408-51-0-2": {
"param-latex": "$t_Q([51,0,2])$",
"comment": "At $t=t_Q([51,0,2])$, $C_t$ has CM order discriminant $\\Delta=-408$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 64."
},
"cm-m408-6-0-17": {
"param-latex": "$t_Q([6,0,17])$",
"comment": "At $t=t_Q([6,0,17])$, $C_t$ has CM order discriminant $\\Delta=-408$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 64."
},
"cm-m408-3-0-34": {
"param-latex": "$t_Q([3,0,34])$",
"comment": "At $t=t_Q([3,0,34])$, $C_t$ has CM order discriminant $\\Delta=-408$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 64."
},
"cm-m168-42-0-1": {
"param-latex": "$t_Q([42,0,1])$",
"comment": "At $t=t_Q([42,0,1])$, $C_t$ has CM order discriminant $\\Delta=-168$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 65."
},
"cm-m168-21-0-2": {
"param-latex": "$t_Q([21,0,2])$",
"comment": "At $t=t_Q([21,0,2])$, $C_t$ has CM order discriminant $\\Delta=-168$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 65."
},
"cm-m168-6-0-7": {
"param-latex": "$t_Q([6,0,7])$",
"comment": "At $t=t_Q([6,0,7])$, $C_t$ has CM order discriminant $\\Delta=-168$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 65."
},
"cm-m168-3-0-14": {
"param-latex": "$t_Q([3,0,14])$",
"comment": "At $t=t_Q([3,0,14])$, $C_t$ has CM order discriminant $\\Delta=-168$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 65."
},
"cm-m228-6-m6-11": {
"param-latex": "$t_Q([6,-6,11])$",
"comment": "At $t=t_Q([6,-6,11])$, $C_t$ has CM order discriminant $\\Delta=-228$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 66."
},
"cm-m228-33-6-2": {
"param-latex": "$t_Q([33,6,2])$",
"comment": "At $t=t_Q([33,6,2])$, $C_t$ has CM order discriminant $\\Delta=-228$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 66."
},
"cm-m228-57-0-1": {
"param-latex": "$t_Q([57,0,1])$",
"comment": "At $t=t_Q([57,0,1])$, $C_t$ has CM order discriminant $\\Delta=-228$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 66."
},
"cm-m228-3-0-19": {
"param-latex": "$t_Q([3,0,19])$",
"comment": "At $t=t_Q([3,0,19])$, $C_t$ has CM order discriminant $\\Delta=-228$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 66."
},
"cm-m315-9-m9-11": {
"param-latex": "$t_Q([9,-9,11])$",
"comment": "At $t=t_Q([9,-9,11])$, $C_t$ has CM order discriminant $\\Delta=-315$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 67."
},
"cm-m315-27-21-7": {
"param-latex": "$t_Q([27,21,7])$",
"comment": "At $t=t_Q([27,21,7])$, $C_t$ has CM order discriminant $\\Delta=-315$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 67."
},
"cm-m315-27-15-5": {
"param-latex": "$t_Q([27,15,5])$",
"comment": "At $t=t_Q([27,15,5])$, $C_t$ has CM order discriminant $\\Delta=-315$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 67."
},
"cm-m315-81-3-1": {
"param-latex": "$t_Q([81,3,1])$",
"comment": "At $t=t_Q([81,3,1])$, $C_t$ has CM order discriminant $\\Delta=-315$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 67."
},
"cm-m35-1-m1-9": {
"param-latex": "$t_Q([1,-1,9])$",
"comment": "At $t=t_Q([1,-1,9])$, $C_t$ has CM order discriminant $\\Delta=-35$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 68."
},
"cm-m35-5-m5-3": {
"param-latex": "$t_Q([5,-5,3])$",
"comment": "At $t=t_Q([5,-5,3])$, $C_t$ has CM order discriminant $\\Delta=-35$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 68."
},
"cm-m35-7-7-3": {
"param-latex": "$t_Q([7,7,3])$",
"comment": "At $t=t_Q([7,7,3])$, $C_t$ has CM order discriminant $\\Delta=-35$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 68."
},
"cm-m35-11-3-1": {
"param-latex": "$t_Q([11,3,1])$",
"comment": "At $t=t_Q([11,3,1])$, $C_t$ has CM order discriminant $\\Delta=-35$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 68."
},
"cm-m435-3-m3-37": {
"param-latex": "$t_Q([3,-3,37])$",
"comment": "At $t=t_Q([3,-3,37])$, $C_t$ has CM order discriminant $\\Delta=-435$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 69."
},
"cm-m435-15-m15-11": {
"param-latex": "$t_Q([15,-15,11])$",
"comment": "At $t=t_Q([15,-15,11])$, $C_t$ has CM order discriminant $\\Delta=-435$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 69."
},
"cm-m435-33-15-5": {
"param-latex": "$t_Q([33,15,5])$",
"comment": "At $t=t_Q([33,15,5])$, $C_t$ has CM order discriminant $\\Delta=-435$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 69."
},
"cm-m435-111-3-1": {
"param-latex": "$t_Q([111,3,1])$",
"comment": "At $t=t_Q([111,3,1])$, $C_t$ has CM order discriminant $\\Delta=-435$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 69."
},
"cm-m372-6-m6-17": {
"param-latex": "$t_Q([6,-6,17])$",
"comment": "At $t=t_Q([6,-6,17])$, $C_t$ has CM order discriminant $\\Delta=-372$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 70."
},
"cm-m372-51-6-2": {
"param-latex": "$t_Q([51,6,2])$",
"comment": "At $t=t_Q([51,6,2])$, $C_t$ has CM order discriminant $\\Delta=-372$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 70."
},
"cm-m372-93-0-1": {
"param-latex": "$t_Q([93,0,1])$",
"comment": "At $t=t_Q([93,0,1])$, $C_t$ has CM order discriminant $\\Delta=-372$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 70."
},
"cm-m372-3-0-31": {
"param-latex": "$t_Q([3,0,31])$",
"comment": "At $t=t_Q([3,0,31])$, $C_t$ has CM order discriminant $\\Delta=-372$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 70."
},
"cm-m555-3-m3-47": {
"param-latex": "$t_Q([3,-3,47])$",
"comment": "At $t=t_Q([3,-3,47])$, $C_t$ has CM order discriminant $\\Delta=-555$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 71."
},
"cm-m555-15-m15-13": {
"param-latex": "$t_Q([15,-15,13])$",
"comment": "At $t=t_Q([15,-15,13])$, $C_t$ has CM order discriminant $\\Delta=-555$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 71."
},
"cm-m555-39-15-5": {
"param-latex": "$t_Q([39,15,5])$",
"comment": "At $t=t_Q([39,15,5])$, $C_t$ has CM order discriminant $\\Delta=-555$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 71."
},
"cm-m555-141-3-1": {
"param-latex": "$t_Q([141,3,1])$",
"comment": "At $t=t_Q([141,3,1])$, $C_t$ has CM order discriminant $\\Delta=-555$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 71."
},
"cm-m795-3-m3-67": {
"param-latex": "$t_Q([3,-3,67])$",
"comment": "At $t=t_Q([3,-3,67])$, $C_t$ has CM order discriminant $\\Delta=-795$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 72."
},
"cm-m795-15-m15-17": {
"param-latex": "$t_Q([15,-15,17])$",
"comment": "At $t=t_Q([15,-15,17])$, $C_t$ has CM order discriminant $\\Delta=-795$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 72."
},
"cm-m795-51-15-5": {
"param-latex": "$t_Q([51,15,5])$",
"comment": "At $t=t_Q([51,15,5])$, $C_t$ has CM order discriminant $\\Delta=-795$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 72."
},
"cm-m795-201-3-1": {
"param-latex": "$t_Q([201,3,1])$",
"comment": "At $t=t_Q([201,3,1])$, $C_t$ has CM order discriminant $\\Delta=-795$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 72."
},
"cm-m708-6-m6-31": {
"param-latex": "$t_Q([6,-6,31])$",
"comment": "At $t=t_Q([6,-6,31])$, $C_t$ has CM order discriminant $\\Delta=-708$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 73."
},
"cm-m708-93-6-2": {
"param-latex": "$t_Q([93,6,2])$",
"comment": "At $t=t_Q([93,6,2])$, $C_t$ has CM order discriminant $\\Delta=-708$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 73."
},
"cm-m708-177-0-1": {
"param-latex": "$t_Q([177,0,1])$",
"comment": "At $t=t_Q([177,0,1])$, $C_t$ has CM order discriminant $\\Delta=-708$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 73."
},
"cm-m708-3-0-59": {
"param-latex": "$t_Q([3,0,59])$",
"comment": "At $t=t_Q([3,0,59])$, $C_t$ has CM order discriminant $\\Delta=-708$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 73."
},
"cm-m483-3-m3-41": {
"param-latex": "$t_Q([3,-3,41])$",
"comment": "At $t=t_Q([3,-3,41])$, $C_t$ has CM order discriminant $\\Delta=-483$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 74."
},
"cm-m483-21-m21-11": {
"param-latex": "$t_Q([21,-21,11])$",
"comment": "At $t=t_Q([21,-21,11])$, $C_t$ has CM order discriminant $\\Delta=-483$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 74."
},
"cm-m483-33-21-7": {
"param-latex": "$t_Q([33,21,7])$",
"comment": "At $t=t_Q([33,21,7])$, $C_t$ has CM order discriminant $\\Delta=-483$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 74."
},
"cm-m483-123-3-1": {
"param-latex": "$t_Q([123,3,1])$",
"comment": "At $t=t_Q([123,3,1])$, $C_t$ has CM order discriminant $\\Delta=-483$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 74."
},
"cm-m627-3-m3-53": {
"param-latex": "$t_Q([3,-3,53])$",
"comment": "At $t=t_Q([3,-3,53])$, $C_t$ has CM order discriminant $\\Delta=-627$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 75."
},
"cm-m627-33-33-13": {
"param-latex": "$t_Q([33,33,13])$",
"comment": "At $t=t_Q([33,33,13])$, $C_t$ has CM order discriminant $\\Delta=-627$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 75."
},
"cm-m627-39-33-11": {
"param-latex": "$t_Q([39,33,11])$",
"comment": "At $t=t_Q([39,33,11])$, $C_t$ has CM order discriminant $\\Delta=-627$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 75."
},
"cm-m627-159-3-1": {
"param-latex": "$t_Q([159,3,1])$",
"comment": "At $t=t_Q([159,3,1])$, $C_t$ has CM order discriminant $\\Delta=-627$. Its parameter field $\\mathbb Q(t)$ is totally real and biquadratic. CITE{ST}, Table 2, row 75."
},
"cm-m7-1-m1-2": {
"param-latex": "$t_Q([1,-1,2])$",
"comment": "At $t=t_Q([1,-1,2])$, $C_t$ has CM order discriminant $\\Delta=-7$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-1-1."
},
"cm-m7-4-3-1": {
"param-latex": "$t_Q([4,3,1])$",
"comment": "At $t=t_Q([4,3,1])$, $C_t$ has CM order discriminant $\\Delta=-7$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-1-2."
},
"cm-m19-1-m1-5": {
"param-latex": "$t_Q([1,-1,5])$",
"comment": "At $t=t_Q([1,-1,5])$, $C_t$ has CM order discriminant $\\Delta=-19$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-2-1."
},
"cm-m19-7-3-1": {
"param-latex": "$t_Q([7,3,1])$",
"comment": "At $t=t_Q([7,3,1])$, $C_t$ has CM order discriminant $\\Delta=-19$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-2-2."
},
"cm-m43-1-m1-11": {
"param-latex": "$t_Q([1,-1,11])$",
"comment": "At $t=t_Q([1,-1,11])$, $C_t$ has CM order discriminant $\\Delta=-43$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-4-1."
},
"cm-m43-13-3-1": {
"param-latex": "$t_Q([13,3,1])$",
"comment": "At $t=t_Q([13,3,1])$, $C_t$ has CM order discriminant $\\Delta=-43$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-4-2."
},
"cm-m63-9-9-4": {
"param-latex": "$t_Q([9,9,4])$",
"comment": "At $t=t_Q([9,9,4])$, $C_t$ has CM order discriminant $\\Delta=-63$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-5-1."
},
"cm-m63-18-3-1": {
"param-latex": "$t_Q([18,3,1])$",
"comment": "At $t=t_Q([18,3,1])$, $C_t$ has CM order discriminant $\\Delta=-63$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-5-2."
},
"cm-m67-1-m1-17": {
"param-latex": "$t_Q([1,-1,17])$",
"comment": "At $t=t_Q([1,-1,17])$, $C_t$ has CM order discriminant $\\Delta=-67$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-6-1."
},
"cm-m67-19-3-1": {
"param-latex": "$t_Q([19,3,1])$",
"comment": "At $t=t_Q([19,3,1])$, $C_t$ has CM order discriminant $\\Delta=-67$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-6-2."
},
"cm-m163-1-m1-41": {
"param-latex": "$t_Q([1,-1,41])$",
"comment": "At $t=t_Q([1,-1,41])$, $C_t$ has CM order discriminant $\\Delta=-163$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-7-1."
},
"cm-m163-43-3-1": {
"param-latex": "$t_Q([43,3,1])$",
"comment": "At $t=t_Q([43,3,1])$, $C_t$ has CM order discriminant $\\Delta=-163$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-7-2."
},
"cm-m171-9-m9-7": {
"param-latex": "$t_Q([9,-9,7])$",
"comment": "At $t=t_Q([9,-9,7])$, $C_t$ has CM order discriminant $\\Delta=-171$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-8-1."
},
"cm-m171-45-3-1": {
"param-latex": "$t_Q([45,3,1])$",
"comment": "At $t=t_Q([45,3,1])$, $C_t$ has CM order discriminant $\\Delta=-171$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-8-2."
},
"cm-m387-9-m9-13": {
"param-latex": "$t_Q([9,-9,13])$",
"comment": "At $t=t_Q([9,-9,13])$, $C_t$ has CM order discriminant $\\Delta=-387$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-9-1."
},
"cm-m387-99-3-1": {
"param-latex": "$t_Q([99,3,1])$",
"comment": "At $t=t_Q([99,3,1])$, $C_t$ has CM order discriminant $\\Delta=-387$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-9-2."
},
"cm-m144-36-0-1": {
"param-latex": "$t_Q([36,0,1])$",
"comment": "At $t=t_Q([36,0,1])$, $C_t$ has CM order discriminant $\\Delta=-144$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-10-1."
},
"cm-m144-9-0-4": {
"param-latex": "$t_Q([9,0,4])$",
"comment": "At $t=t_Q([9,0,4])$, $C_t$ has CM order discriminant $\\Delta=-144$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-10-2."
},
"cm-m252-63-0-1": {
"param-latex": "$t_Q([63,0,1])$",
"comment": "At $t=t_Q([63,0,1])$, $C_t$ has CM order discriminant $\\Delta=-252$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-11-1."
},
"cm-m252-9-0-7": {
"param-latex": "$t_Q([9,0,7])$",
"comment": "At $t=t_Q([9,0,7])$, $C_t$ has CM order discriminant $\\Delta=-252$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-11-2."
},
"cm-m603-9-m9-19": {
"param-latex": "$t_Q([9,-9,19])$",
"comment": "At $t=t_Q([9,-9,19])$, $C_t$ has CM order discriminant $\\Delta=-603$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-13-1."
},
"cm-m603-153-3-1": {
"param-latex": "$t_Q([153,3,1])$",
"comment": "At $t=t_Q([153,3,1])$, $C_t$ has CM order discriminant $\\Delta=-603$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-13-2."
},
"cm-m1467-9-m9-43": {
"param-latex": "$t_Q([9,-9,43])$",
"comment": "At $t=t_Q([9,-9,43])$, $C_t$ has CM order discriminant $\\Delta=-1467$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-14-1."
},
"cm-m1467-369-3-1": {
"param-latex": "$t_Q([369,3,1])$",
"comment": "At $t=t_Q([369,3,1])$, $C_t$ has CM order discriminant $\\Delta=-1467$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-14-2."
},
"cm-m16-4-0-1": {
"param-latex": "$t_Q([4,0,1])$",
"comment": "At $t=t_Q([4,0,1])$, $C_t$ has CM order discriminant $\\Delta=-16$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-16-1."
},
"cm-m16-1-0-4": {
"param-latex": "$t_Q([1,0,4])$",
"comment": "At $t=t_Q([1,0,4])$, $C_t$ has CM order discriminant $\\Delta=-16$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-16-2."
},
"cm-m28-7-0-1": {
"param-latex": "$t_Q([7,0,1])$",
"comment": "At $t=t_Q([7,0,1])$, $C_t$ has CM order discriminant $\\Delta=-28$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-17-1."
},
"cm-m28-1-0-7": {
"param-latex": "$t_Q([1,0,7])$",
"comment": "At $t=t_Q([1,0,7])$, $C_t$ has CM order discriminant $\\Delta=-28$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-17-2."
},
"cm-m39-3-m3-4": {
"param-latex": "$t_Q([3,-3,4])$",
"comment": "At $t=t_Q([3,-3,4])$, $C_t$ has CM order discriminant $\\Delta=-39$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-18-1."
},
"cm-m39-12-3-1": {
"param-latex": "$t_Q([12,3,1])$",
"comment": "At $t=t_Q([12,3,1])$, $C_t$ has CM order discriminant $\\Delta=-39$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-18-2."
},
"cm-m219-3-m3-19": {
"param-latex": "$t_Q([3,-3,19])$",
"comment": "At $t=t_Q([3,-3,19])$, $C_t$ has CM order discriminant $\\Delta=-219$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-19-1."
},
"cm-m219-57-3-1": {
"param-latex": "$t_Q([57,3,1])$",
"comment": "At $t=t_Q([57,3,1])$, $C_t$ has CM order discriminant $\\Delta=-219$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-19-2."
},
"cm-m291-3-m3-25": {
"param-latex": "$t_Q([3,-3,25])$",
"comment": "At $t=t_Q([3,-3,25])$, $C_t$ has CM order discriminant $\\Delta=-291$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-20-1."
},
"cm-m291-75-3-1": {
"param-latex": "$t_Q([75,3,1])$",
"comment": "At $t=t_Q([75,3,1])$, $C_t$ has CM order discriminant $\\Delta=-291$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-20-2."
},
"cm-m363-3-m3-31": {
"param-latex": "$t_Q([3,-3,31])$",
"comment": "At $t=t_Q([3,-3,31])$, $C_t$ has CM order discriminant $\\Delta=-363$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-21-1."
},
"cm-m363-93-3-1": {
"param-latex": "$t_Q([93,3,1])$",
"comment": "At $t=t_Q([93,3,1])$, $C_t$ has CM order discriminant $\\Delta=-363$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-21-2."
},
"cm-m507-3-m3-43": {
"param-latex": "$t_Q([3,-3,43])$",
"comment": "At $t=t_Q([3,-3,43])$, $C_t$ has CM order discriminant $\\Delta=-507$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-22-1."
},
"cm-m507-129-3-1": {
"param-latex": "$t_Q([129,3,1])$",
"comment": "At $t=t_Q([129,3,1])$, $C_t$ has CM order discriminant $\\Delta=-507$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-22-2."
},
"cm-m723-3-m3-61": {
"param-latex": "$t_Q([3,-3,61])$",
"comment": "At $t=t_Q([3,-3,61])$, $C_t$ has CM order discriminant $\\Delta=-723$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-23-1."
},
"cm-m723-183-3-1": {
"param-latex": "$t_Q([183,3,1])$",
"comment": "At $t=t_Q([183,3,1])$, $C_t$ has CM order discriminant $\\Delta=-723$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-23-2."
},
"cm-m1227-3-m3-103": {
"param-latex": "$t_Q([3,-3,103])$",
"comment": "At $t=t_Q([3,-3,103])$, $C_t$ has CM order discriminant $\\Delta=-1227$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-24-1."
},
"cm-m1227-309-3-1": {
"param-latex": "$t_Q([309,3,1])$",
"comment": "At $t=t_Q([309,3,1])$, $C_t$ has CM order discriminant $\\Delta=-1227$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-24-2."
},
"cm-m156-39-0-1": {
"param-latex": "$t_Q([39,0,1])$",
"comment": "At $t=t_Q([39,0,1])$, $C_t$ has CM order discriminant $\\Delta=-156$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-25-1."
},
"cm-m156-3-0-13": {
"param-latex": "$t_Q([3,0,13])$",
"comment": "At $t=t_Q([3,0,13])$, $C_t$ has CM order discriminant $\\Delta=-156$. Its quartic parameter field $\\mathbb Q(t)$ has two real embeddings and a conjugate pair of nonreal embeddings. CITE{Supplement}, entry ν-N4-25-2."
}
}