data_2d_s = { const data = [ { name: 'ℜ ζ(s,x)}', x: ζ_s_partials.map((z,i) => i+1), y: ζ_s_partials.map((z) => z.re), type: 'scatter', mode: 'lines', marker: { color: 'green', }, visible: 'legendonly', }, { name: 'ℑ ζ(s,x)}', x: ζ_s_partials.map((z,i) => i+1), y: ζ_s_partials.map((z) => z.im), type: 'scatter', mode: 'lines', marker: { color: 'orange', }, visible: 'legendonly', }, { name: 'ℜ ζ^*(s,x)}', x: ζ_s_partials_norm.map((z,i) => i+1), y: ζ_s_partials_norm.map((z) => z.re), type: 'scatter', mode: 'lines', marker: { color: 'blue', }, }, { name: 'ℑ ζ^*(s,x)}', x: ζ_s_partials_norm.map((z,i) => i+1), y: ζ_s_partials_norm.map((z) => z.im), type: 'scatter', mode: 'lines', marker: { color: 'red', }, }, { name: 'Arg ζ(s,x)}', x: ζ_s_partials.map((z,i) => i+1), y: ζ_s_partials.map((z) => z.arg()), type: 'scatter', mode: 'lines', marker: { color: 'gray', }, visible: 'legendonly', }, { name: 'Arg ζ^*(s,x)', x: ζ_s_partials_norm.map((z,i) => i+1), y: ζ_s_partials_norm.map((z) => z.arg()), type: 'scatter', mode: 'lines', marker: { color: 'purple', }, }, { name: 'Abs ζ(s,x)}', x: ζ_s_partials.map((z,i) => i+1), y: ζ_s_partials.map((z) => z.abs()), type: 'scatter', mode: 'lines', marker: { color: 'pink', }, }, { name: '-Abs ζ(s,x)}', x: ζ_s_partials.map((z,i) => i+1), y: ζ_s_partials.map((z) => -z.abs()), type: 'scatter', mode: 'lines', marker: { color: 'pink', }, }, ] for (let i = 1; i <= 6; ++i) { data.push({ name: `x = ${i}/2 ℑ s/π + 1/2`, x: [ i/2 * ℑs/π + 1/2, i/2 * ℑs/π + 1/2], y: [ -π, π ], type: 'scatter', mode: 'lines', line: { color: 'gray', dash: 'dot', width: 0.5, }, }) } let abs_lastmin_x = 0 let abs_lastmin_y = 0 let abs_lastmin_init = ℑs / π / 2 let x = 0 for (let z of ζ_s_partials) { x += 1 if (x > abs_lastmin_init) { const y = z.abs() if (y < abs_lastmin_y || !abs_lastmin_y) { abs_lastmin_x = x abs_lastmin_y = y } } } if (abs_lastmin_x >= abs_lastmin_init) { data.push({ name: `abs last mininum`, x: [ abs_lastmin_x, abs_lastmin_x ], y: [ -abs_lastmin_y, abs_lastmin_y ], type: 'scatter', mode: 'lines+markers', marker: { color: 'brown', }, line: { // dash: 'dot', }, }) // data.push({ // name: `x ~ abs last minimum`, // x: [ Math.E/2 * ℑs/π - 1/π, Math.E/2 * ℑs/π - 1/π], // y: [ -π, π ], // type: 'scatter', // mode: 'lines', // line: { // color: 'brown', // dash: 'dash', // width: 0.5, // }, // }) } // data.push({ // name: 'Arg ζ^**(s,x)', // x: ζ_s_partials_norm.map((z,i) => i+1), // y: ζ_s_partials_norm.map((z,i) => (z.arg() + rotation_factor(i+1) + π) % (2*π) - π), // type: 'scatter', // mode: 'lines', // marker: { // color: 'black', // }, // line: { // color: 'black', // dash: 'dot', // } // }) // data.push({ // name: 'evens: Arg ζ^*(s,x)', // x: ζ_s_partials_norm.map((z,i) => i % 2 === 1 ? (i+1) : null).filter(Boolean), // y: ζ_s_partials_norm.map((z,i) => i % 2 === 1 ? z.arg() : null).filter(Boolean), // type: 'scatter', // mode: 'lines', // marker: { // color: 'brown', // }, // }, // { // name: '3vens: Arg ζ^*(s,x)', // x: ζ_s_partials_norm.map((z,i) => i % 3 === 2 ? (i+1) : null).filter(Boolean), // y: ζ_s_partials_norm.map((z,i) => i % 3 === 2 ? z.arg() : null).filter(Boolean), // type: 'scatter', // mode: 'lines', // marker: { // color: 'tan', // }, // }, // { // name: '4vens: Arg ζ^*(s,x)', // x: ζ_s_partials_norm.map((z,i) => i % 4 === 3 ? (i+1) : null).filter(Boolean), // y: ζ_s_partials_norm.map((z,i) => i % 4 === 3 ? z.arg() : null).filter(Boolean), // type: 'scatter', // mode: 'lines', // marker: { // color: 'blue', // }, // }, // { // name: '5vens: Arg ζ^*(s,x)', // x: ζ_s_partials_norm.map((z,i) => i % 5 === 4 ? (i+1) : null).filter(Boolean), // y: ζ_s_partials_norm.map((z,i) => i % 5 === 4 ? z.arg() : null).filter(Boolean), // type: 'scatter', // mode: 'lines', // marker: { // color: 'green', // }, // }) if (plot_2d_s && plot_2d_s.data) plot_2d_s.data.forEach((d,i) => { const cur = data[i] if (cur) cur.visible = d.visible || cur.visible }) return data }