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1948 bytes, as of the version from 2026-11-02 11:04 (current). Recorded here, not run.
{
"T283": {
"title": "Mahler measures of $1+x_1+\\dots+x_{n-1}$ (uniform random walks in the plane)",
"entry_identity": "3",
"entry": {
"comment": "Smyth's value $\\mu_3=\\mathrm{Cl}_2(\\pi/3)/\\pi=\\frac{3\\sqrt3}{4\\pi}L(2,\\chi_{-3})$.",
"number": "0.32306594721945051409363651072380639407224184078059"
}
},
"T145": {
"title": "Values of Dirichlet L-functions at positive integers",
"entry_identity": "3,2,2",
"entry": {
"number": "0.7813024128964862968671874296240923563651343365452854202221000629668869846516182180928695708322098610 + i * 0",
"comment": "$\\chi=\\left(\\frac{-3}{\\cdot}\\right)$, odd"
}
},
"T649": {
"title": "Mahler measures of the Hessian family",
"entry_identity": "-1",
"entry": {
"number": "0.4549624460247022157899646290452669704837710430448280179561721677447580407691966814707910045615975207",
"comment": "The negative real boundary of the torus-zero region, with $k=-1$."
}
},
"T153-triangular": {
"title": "Entropy constants of lattice models",
"entry_identity": "spanning-tree,triangular,entropy",
"entry": {
"comment": "$z_{\\mathrm{tri}}=\\frac{3\\sqrt3}{\\pi}\\left(1-\\frac1{5^2}+\\frac1{7^2}-\\frac1{11^2}+\\frac1{13^2}-\\cdots\\right)=\\frac{15\\sqrt3}{4\\pi}L(2,\\chi_{-3})$ CITE{Wu77} CITE{ShrockWu}, OEIS A245725 CITE{OEISsttri}.",
"number": "1.615329736097252570468182553619031970361209203902935080654342351805075564036349210418938045446856960"
}
},
"T153-honeycomb": {
"title": "Entropy constants of lattice models",
"entry_identity": "spanning-tree,honeycomb,entropy",
"entry": {
"comment": "$z_{\\mathrm{hc}}=\\frac12 z_{\\mathrm{tri}}$ CITE{ShrockWu}, by the duality CITE{formula-duality}, OEIS A245737 CITE{OEISsthc}.",
"number": "0.8076648680486262852340912768095159851806046019514675403271711759025377820181746052094690227234284802"
}
}
}