diff --git a/docs/index.html b/docs/index.html
index 5c4273fb..28f3a9f1 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -7,8 +7,6 @@
A Primer on Bézier Curves
August-September 2020
June 2020
January 2020
- Added reset buttons to all graphics
- Updated to preface to correctly describe the on-page maths
- Fixed the Catmull-Rom section because it had glaring maths errors
+ Added reset buttons to all graphics
Updated to preface to correctly describe the on-page maths
Fixed the Catmull-Rom section because it had glaring maths errors
August 2019
December 2018
August 2018
July 2018
- Rewrote the 3D normals section, implementing and explaining Rotation Minimising Frames.
- Updated the section on curve order raising/lowering, showing how to get a least-squares optimized lower order curve.
- (Finally) updated 'npm test' so that it automatically rebuilds when files are changed while the dev server is running.
+ Rewrote the 3D normals section, implementing and explaining Rotation Minimising Frames.
Updated the section on curve order raising/lowering, showing how to get a least-squares optimized lower order curve.
+ (Finally) updated 'npm test' so that it automatically rebuilds when files are changed while the dev server is running.
+
June 2018
- Added a section on direct curve fitting.
- Added source links for all graphics.
- Added this "What's new?" section.
+ Added a section on direct curve fitting.
Added source links for all graphics.
Added this "What's new?" section.
April 2017
- Added a section on 3d normals.
- Added live-updating for the social link buttons, so they always link to the specific section you're reading.
+ Added a section on 3d normals.
Added live-updating for the social link buttons, so they always link to the specific section you're reading.
February 2017
January 2016
December 2015
- Set up the split repository between BezierInfo-2 as development repository, and bezierinfo as live page.
- Removed the need for client-side LaTeX parsing entirely, so the site doesn't take a full minute or more to load all the graphics.
+ Set up the split repository between BezierInfo-2 as development repository, and bezierinfo as live page.
+
+ Removed the need for client-side LaTeX parsing entirely, so the site doesn't take a full minute or more to load all the graphics.
+
+
May 2015
April 2015
February 2015
November 2014
- Switched to HTTPS.
+ Switched to HTTPS.
July 2014
April 2014
November 2013
April 2013
March 2013
- First drastic rewrite
- Added sections on circle approximations.
- Added a section on projecting a point onto a curve.
- Added a section on tangents and normals.
- Added Legendre-Gauss numerical data tables.
+ First drastic rewrite.
Added sections on circle approximations.
Added a section on projecting a point onto a curve.
Added a section on tangents and normals.
Added Legendre-Gauss numerical data tables.
October 2011
diff --git a/docs/ja-JP/index.html b/docs/ja-JP/index.html
index c2044a95..5cb796ea 100644
--- a/docs/ja-JP/index.html
+++ b/docs/ja-JP/index.html
@@ -8,7 +8,6 @@
June 2020
January 2020
- Added reset buttons to all graphics
- Updated to preface to correctly describe the on-page maths
- Fixed the Catmull-Rom section because it had glaring maths errors
+ Added reset buttons to all graphics
Updated to preface to correctly describe the on-page maths
Fixed the Catmull-Rom section because it had glaring maths errors
August 2019
December 2018
August 2018
July 2018
- Rewrote the 3D normals section, implementing and explaining Rotation Minimising Frames.
- Updated the section on curve order raising/lowering, showing how to get a least-squares optimized lower order curve.
- (Finally) updated 'npm test' so that it automatically rebuilds when files are changed while the dev server is running.
+ Rewrote the 3D normals section, implementing and explaining Rotation Minimising Frames.
Updated the section on curve order raising/lowering, showing how to get a least-squares optimized lower order curve.
+ (Finally) updated 'npm test' so that it automatically rebuilds when files are changed while the dev server is running.
+
June 2018
- Added a section on direct curve fitting.
- Added source links for all graphics.
- Added this "What's new?" section.
+ Added a section on direct curve fitting.
Added source links for all graphics.
Added this "What's new?" section.
April 2017
- Added a section on 3d normals.
- Added live-updating for the social link buttons, so they always link to the specific section you're reading.
+ Added a section on 3d normals.
Added live-updating for the social link buttons, so they always link to the specific section you're reading.
February 2017
January 2016
December 2015
- Set up the split repository between BezierInfo-2 as development repository, and bezierinfo as live page.
- Removed the need for client-side LaTeX parsing entirely, so the site doesn't take a full minute or more to load all the graphics.
+ Set up the split repository between BezierInfo-2 as development repository, and bezierinfo as live page.
+
+ Removed the need for client-side LaTeX parsing entirely, so the site doesn't take a full minute or more to load all the graphics.
+
+
May 2015
April 2015
February 2015
November 2014
- Switched to HTTPS.
+ Switched to HTTPS.
July 2014
April 2014
November 2013
April 2013
March 2013
- First drastic rewrite
- Added sections on circle approximations.
- Added a section on projecting a point onto a curve.
- Added a section on tangents and normals.
- Added Legendre-Gauss numerical data tables.
+ First drastic rewrite.
Added sections on circle approximations.
Added a section on projecting a point onto a curve.
Added a section on tangents and normals.
Added Legendre-Gauss numerical data tables.
October 2011
diff --git a/docs/js/custom-element/api/base-api.js b/docs/js/custom-element/api/base-api.js
index e34de3b5..721f3fd7 100644
--- a/docs/js/custom-element/api/base-api.js
+++ b/docs/js/custom-element/api/base-api.js
@@ -6,14 +6,7 @@
*/
class BaseAPI {
static get privateMethods() {
- return [
- `constructor`,
- `createHatchPatterns`,
- `addListeners`,
- `getCursorCoords`,
- ]
- .concat(this.superCallers)
- .concat(this.eventHandlers);
+ return [`constructor`, `createHatchPatterns`, `addListeners`, `getCursorCoords`].concat(this.superCallers).concat(this.eventHandlers);
}
static get superCallers() {
@@ -26,10 +19,7 @@ class BaseAPI {
static get methods() {
const priv = this.privateMethods;
- const names = Object.getOwnPropertyNames(this.prototype).concat([
- `setSize`,
- `redraw`,
- ]);
+ const names = Object.getOwnPropertyNames(this.prototype).concat([`setSize`, `redraw`]);
return names.filter((v) => priv.indexOf(v) < 0);
}
@@ -101,9 +91,7 @@ class BaseAPI {
const root = typeof document !== "undefined" ? document : canvas;
- [`touchstart`, `mousedown`].forEach((evtName) =>
- canvas.addEventListener(evtName, (evt) => this.onMouseDown(evt))
- );
+ [`touchstart`, `mousedown`].forEach((evtName) => canvas.addEventListener(evtName, (evt) => this.onMouseDown(evt)));
[`touchmove`, `mousemove`].forEach((evtName) =>
canvas.addEventListener(evtName, (evt) => {
@@ -118,19 +106,13 @@ class BaseAPI {
})
);
- [`touchend`, `mouseup`].forEach((evtName) =>
- root.addEventListener(evtName, (evt) => this.onMouseUp(evt))
- );
+ [`touchend`, `mouseup`].forEach((evtName) => root.addEventListener(evtName, (evt) => this.onMouseUp(evt)));
this.keyboard = {};
- [`keydown`].forEach((evtName) =>
- canvas.addEventListener(evtName, (evt) => this.onKeyDown(evt))
- );
+ [`keydown`].forEach((evtName) => canvas.addEventListener(evtName, (evt) => this.onKeyDown(evt)));
- [`keyup`].forEach((evtName) =>
- canvas.addEventListener(evtName, (evt) => this.onKeyUp(evt))
- );
+ [`keyup`].forEach((evtName) => canvas.addEventListener(evtName, (evt) => this.onKeyUp(evt)));
}
stopEvent(evt) {
diff --git a/docs/js/custom-element/api/graphics-api.js b/docs/js/custom-element/api/graphics-api.js
index 3437ed5a..6342d35b 100644
--- a/docs/js/custom-element/api/graphics-api.js
+++ b/docs/js/custom-element/api/graphics-api.js
@@ -18,18 +18,7 @@ let CURRENT_HUE = 0;
*/
class GraphicsAPI extends BaseAPI {
static get constants() {
- return [
- `POINTER`,
- `HAND`,
- `PI`,
- `TAU`,
- `POLYGON`,
- `CURVE`,
- `BEZIER`,
- `CENTER`,
- `LEFT`,
- `RIGHT`,
- ];
+ return [`POINTER`, `HAND`, `PI`, `TAU`, `POLYGON`, `CURVE`, `BEZIER`, `CENTER`, `LEFT`, `RIGHT`];
}
draw() {
@@ -96,9 +85,7 @@ class GraphicsAPI extends BaseAPI {
// as well as for "what it was the previous cursor event"
this.cursor.last = { x: this.cursor.x, y: this.cursor.y };
- const cdist = evt.targetTouches
- ? TOUCH_PRECISION_ZONE
- : MOUSE_PRECISION_ZONE;
+ const cdist = evt.targetTouches ? TOUCH_PRECISION_ZONE : MOUSE_PRECISION_ZONE;
for (let i = 0, e = this.movable.length, p, d; i < e; i++) {
p = this.movable[i];
@@ -413,8 +400,7 @@ class GraphicsAPI extends BaseAPI {
}
setFont(font) {
- font =
- font || `${this.font.weight} ${this.font.size}px ${this.font.family}`;
+ font = font || `${this.font.weight} ${this.font.size}px ${this.font.family}`;
this.ctx.font = font;
}
@@ -609,9 +595,7 @@ class GraphicsAPI extends BaseAPI {
this.ctx.beginPath();
let { x, y } = this.currentShape.first;
this.ctx.moveTo(x, y);
- this.currentShape.segments.forEach((s) =>
- this[`draw${s.type}`](s.points, s.factor)
- );
+ this.currentShape.segments.forEach((s) => this[`draw${s.type}`](s.points, s.factor));
if (close) this.ctx.closePath();
this.ctx.fill();
this.ctx.stroke();
diff --git a/docs/js/custom-element/api/impart-slider-logic.js b/docs/js/custom-element/api/impart-slider-logic.js
index b91820db..b026b94f 100644
--- a/docs/js/custom-element/api/impart-slider-logic.js
+++ b/docs/js/custom-element/api/impart-slider-logic.js
@@ -4,15 +4,7 @@ export default function impartSliderLogic(GraphicsAPI) {
/**
* Dynamically add a slider
*/
- GraphicsAPI.prototype.addSlider = function addSlider(
- classes,
- propname,
- min,
- max,
- step,
- value,
- transform
- ) {
+ GraphicsAPI.prototype.addSlider = function addSlider(classes, propname, min, max, step, value, transform) {
if (this.element) {
let slider = create(`input`);
slider.type = `range`;
@@ -35,13 +27,7 @@ export default function impartSliderLogic(GraphicsAPI) {
* @param {*} step
* @param {*} value
*/
- GraphicsAPI.prototype.updateSlider = function updateSlider(
- propname,
- min,
- max,
- step,
- value
- ) {
+ GraphicsAPI.prototype.updateSlider = function updateSlider(propname, min, max, step, value) {
let slider = this._sliders[propname];
if (!slider) {
@@ -63,12 +49,7 @@ export default function impartSliderLogic(GraphicsAPI) {
* @param {float} initial the initial value for this property.
* @param {boolean} redraw whether or not to redraw after updating the value from the slider.
*/
- GraphicsAPI.prototype.setSlider = function setSlider(
- qs,
- propname,
- initial,
- transform
- ) {
+ GraphicsAPI.prototype.setSlider = function setSlider(qs, propname, initial, transform) {
if (propname !== false && typeof this[propname] !== `undefined`) {
throw new Error(`this.${propname} already exists: cannot bind slider.`);
}
@@ -130,9 +111,7 @@ export default function impartSliderLogic(GraphicsAPI) {
}
let step = slider.getAttribute(`step`) || "1";
- let res = !step.includes(`.`)
- ? 0
- : step.substring(step.indexOf(`.`) + 1).length;
+ let res = !step.includes(`.`) ? 0 : step.substring(step.indexOf(`.`) + 1).length;
slider.updateProperty = (evt) => {
let value = parseFloat(slider.value);
diff --git a/docs/js/custom-element/api/types/bezier.js b/docs/js/custom-element/api/types/bezier.js
index ae731236..319a6d66 100644
--- a/docs/js/custom-element/api/types/bezier.js
+++ b/docs/js/custom-element/api/types/bezier.js
@@ -8,18 +8,14 @@ import { fitCurveToPoints } from "../util/fit-curve-to-points.js";
class Bezier extends Original {
static defaultQuadratic(apiInstance) {
if (!apiInstance) {
- throw new Error(
- `missing reference of API instance in Bezier.defaultQuadratic(instance)`
- );
+ throw new Error(`missing reference of API instance in Bezier.defaultQuadratic(instance)`);
}
return new Bezier(apiInstance, 70, 250, 20, 110, 220, 60);
}
static defaultCubic(apiInstance) {
if (!apiInstance) {
- throw new Error(
- `missing reference of API instance in Bezier.defaultCubic(instance)`
- );
+ throw new Error(`missing reference of API instance in Bezier.defaultCubic(instance)`);
}
return new Bezier(apiInstance, 110, 150, 25, 190, 210, 250, 210, 30);
}
@@ -28,9 +24,7 @@ class Bezier extends Original {
if (!tvalues) {
const D = [0];
for (let i = 1; i < n; i++) {
- D[i] =
- D[i - 1] +
- dist(points[i - 1].x, points[i - 1].y, points[i].x, points[i].y);
+ D[i] = D[i - 1] + dist(points[i - 1].x, points[i - 1].y, points[i].x, points[i].y);
}
const S = [],
len = D[n - 1];
@@ -50,9 +44,7 @@ class Bezier extends Original {
constructor(apiInstance, ...coords) {
if (!apiInstance || !apiInstance.setMovable) {
- throw new Error(
- `missing reference of API instance in Bezier constructor`
- );
+ throw new Error(`missing reference of API instance in Bezier constructor`);
}
super(...coords);
this.api = apiInstance;
@@ -91,15 +83,7 @@ class Bezier extends Original {
}
drawPoints(labels = true) {
- const colors = [
- `red`,
- `green`,
- `blue`,
- `yellow`,
- `orange`,
- `cyan`,
- `magenta`,
- ];
+ const colors = [`red`, `green`, `blue`, `yellow`, `orange`, `cyan`, `magenta`];
const api = this.api;
const ctx = this.ctx;
diff --git a/docs/js/custom-element/api/types/bspline.js b/docs/js/custom-element/api/types/bspline.js
index 103eabe6..b49173dc 100644
--- a/docs/js/custom-element/api/types/bspline.js
+++ b/docs/js/custom-element/api/types/bspline.js
@@ -47,9 +47,7 @@ class BSpline {
}
formUniformKnots() {
- return (this.knots = [...new Array(this.points.length + DEGREE + 1)].map(
- (_, i) => i
- ));
+ return (this.knots = [...new Array(this.points.length + DEGREE + 1)].map((_, i) => i));
}
formNodes() {
diff --git a/docs/js/custom-element/api/types/matrix.js b/docs/js/custom-element/api/types/matrix.js
index cca93d33..e9ef38b1 100644
--- a/docs/js/custom-element/api/types/matrix.js
+++ b/docs/js/custom-element/api/types/matrix.js
@@ -127,8 +127,7 @@ function transpose(M) {
class Matrix {
constructor(n, m, data) {
data = n instanceof Array ? n : data;
- this.data =
- data ?? [...new Array(n)].map((v) => [...new Array(m)].map((v) => 0));
+ this.data = data ?? [...new Array(n)].map((v) => [...new Array(m)].map((v) => 0));
this.rows = this.data.length;
this.cols = this.data[0].length;
}
diff --git a/docs/js/custom-element/api/types/vector.js b/docs/js/custom-element/api/types/vector.js
index 8a9639a1..e8b03e30 100644
--- a/docs/js/custom-element/api/types/vector.js
+++ b/docs/js/custom-element/api/types/vector.js
@@ -23,11 +23,7 @@ class Vector {
}
normalize(f) {
let mag = this.dist(0, 0, 0);
- return new Vector(
- (f * this.x) / mag,
- (f * this.y) / mag,
- (f * this.z) / mag
- );
+ return new Vector((f * this.x) / mag, (f * this.y) / mag, (f * this.z) / mag);
}
getAngle() {
return -Math.atan2(this.y, this.x);
diff --git a/docs/js/custom-element/api/util/interpolate-bspline.js b/docs/js/custom-element/api/util/interpolate-bspline.js
index 03009707..b3a59b0d 100644
--- a/docs/js/custom-element/api/util/interpolate-bspline.js
+++ b/docs/js/custom-element/api/util/interpolate-bspline.js
@@ -1,20 +1,11 @@
// https://github.com/thibauts/b-spline
-export default function interpolate(
- t,
- degree,
- points,
- knots,
- weights,
- result,
- scaled
-) {
+export default function interpolate(t, degree, points, knots, weights, result, scaled) {
var i, j, s, l; // function-scoped iteration variables
var n = points.length; // points count
var d = points[0].length; // point dimensionality
if (degree < 1) throw new Error("degree must be at least 1 (linear)");
- if (degree > n - 1)
- throw new Error("degree must be less than or equal to point count - 1");
+ if (degree > n - 1) throw new Error("degree must be less than or equal to point count - 1");
if (!weights) {
// build weight vector of length [n]
@@ -36,8 +27,7 @@ export default function interpolate(
knots[i] = i;
}
} else {
- if (knots.length !== n + degree + 1)
- throw new Error("bad knot vector length");
+ if (knots.length !== n + degree + 1) throw new Error("bad knot vector length");
}
// closed curve?
diff --git a/docs/js/custom-element/custom-element.js b/docs/js/custom-element/custom-element.js
index d21e3075..2a0ec26d 100644
--- a/docs/js/custom-element/custom-element.js
+++ b/docs/js/custom-element/custom-element.js
@@ -2,20 +2,15 @@ const REG_KEY = `registered as custom element`;
// helper function
function NotImplemented(instance, fname) {
- console.warn(
- `missing implementation for ${fname}(...data) in ${instance.__proto__.constructor.name}`
- );
+ console.warn(`missing implementation for ${fname}(...data) in ${instance.__proto__.constructor.name}`);
}
// helper function for turning "ClassName" into "class-name"
function getElementTagName(cls) {
- return cls.prototype.constructor.name.replace(
- /([A-Z])([a-z])/g,
- (a, b, c, d) => {
- const r = `${b.toLowerCase()}${c}`;
- return d > 0 ? `-${r}` : r;
- }
- );
+ return cls.prototype.constructor.name.replace(/([A-Z])([a-z])/g, (a, b, c, d) => {
+ const r = `${b.toLowerCase()}${c}`;
+ return d > 0 ? `-${r}` : r;
+ });
}
/**
@@ -56,18 +51,11 @@ class CustomElement extends HTMLElement {
const route = {
childList: (record) => {
- this.handleChildChanges(
- Array.from(record.addedNodes),
- Array.from(record.removedNodes)
- );
+ this.handleChildChanges(Array.from(record.addedNodes), Array.from(record.removedNodes));
this.render();
},
attributes: (record) => {
- this.handleAttributeChange(
- record.attributeName,
- record.oldValue,
- this.getAttribute(record.attributeName)
- );
+ this.handleAttributeChange(record.attributeName, record.oldValue, this.getAttribute(record.attributeName));
this.render();
},
};
@@ -99,12 +87,9 @@ class CustomElement extends HTMLElement {
this._style = document.createElement(`style`);
this._style.textContent = this.getStyle();
- if (this._options.header !== false)
- this._header = document.createElement(`header`);
- if (this._options.slot !== false && this._options.void !== true)
- this._slot = document.createElement(`slot`);
- if (this._options.footer !== false)
- this._footer = document.createElement(`footer`);
+ if (this._options.header !== false) this._header = document.createElement(`header`);
+ if (this._options.slot !== false && this._options.void !== true) this._slot = document.createElement(`slot`);
+ if (this._options.footer !== false) this._footer = document.createElement(`footer`);
}
connectedCallback() {
diff --git a/docs/js/custom-element/graphics-element.css b/docs/js/custom-element/graphics-element.css
index f2a7e272..92d9ac58 100644
--- a/docs/js/custom-element/graphics-element.css
+++ b/docs/js/custom-element/graphics-element.css
@@ -37,7 +37,7 @@ graphics-element:not(:defined) fallback-image {
display: block;
text-align: center;
padding: 0.5em;
- margin:auto;
+ margin: auto;
}
/*
diff --git a/docs/js/custom-element/graphics-element.js b/docs/js/custom-element/graphics-element.js
index 98e35a88..e9c3e869 100644
--- a/docs/js/custom-element/graphics-element.js
+++ b/docs/js/custom-element/graphics-element.js
@@ -123,9 +123,7 @@ class GraphicsElement extends CustomElement {
debugLog(`loading ${this.getAttribute(`src`)}`);
if (!IMPORT_GLOBALS_FROM_GRAPHICS_API) {
- const importStatement = (
- await fetch(`${MODULE_PATH}/api/graphics-api.js`).then((r) => r.text())
- )
+ const importStatement = (await fetch(`${MODULE_PATH}/api/graphics-api.js`).then((r) => r.text()))
.match(/(export { [^}]+ })/)[0]
.replace(`export`, `import`);
IMPORT_GLOBALS_FROM_GRAPHICS_API = `${importStatement} from "${MODULE_PATH}/api/graphics-api.js"`;
@@ -188,10 +186,7 @@ class GraphicsElement extends CustomElement {
rerender = true;
}
- const uid = (this.uid = `bg-uid-${Date.now()}-${`${Math.random()}`.replace(
- `0.`,
- ``
- )}`);
+ const uid = (this.uid = `bg-uid-${Date.now()}-${`${Math.random()}`.replace(`0.`, ``)}`);
window[uid] = this;
// Step 1: fix the imports. This is ... a bit of work.
@@ -245,9 +240,7 @@ class GraphicsElement extends CustomElement {
const script = (this.script = document.createElement(`script`));
script.type = "module";
- script.src = `data:application/javascript;charset=utf-8,${encodeURIComponent(
- this.code
- )}`;
+ script.src = `data:application/javascript;charset=utf-8,${encodeURIComponent(this.code)}`;
if (rerender) this.render();
}
@@ -258,14 +251,14 @@ class GraphicsElement extends CustomElement {
async reset() {
const parent = this.parentNode;
const offDOM = document.createElement(`div`);
+ offDOM.style.display = `none`;
offDOM.innerHTML = this.originalHTML;
const newElement = offDOM.querySelector(`graphics-element`);
- offDOM.style.display = `none`;
- document.body.appendChild(offDOM);
- newElement.addEventListener(`loaded`, () => {
+ newElement.addEventListener(`load`, () => {
parent.replaceChild(newElement, this);
document.body.removeChild(offDOM);
});
+ document.body.appendChild(offDOM);
}
/**
@@ -293,7 +286,11 @@ class GraphicsElement extends CustomElement {
// If we get here, there were no source code errors: undo the scheduled error print.
clearTimeout(this.errorPrintTimeout);
this.render();
- this.dispatchEvent(new CustomEvent(`loaded`));
+ // Once we've rendered, we can send the "ready for use" signal.
+ this.dispatchEvent(new CustomEvent(`load`));
+ if (this.onload) {
+ this.onload();
+ }
}
/**
@@ -320,10 +317,7 @@ class GraphicsElement extends CustomElement {
if (!this.script.__inserted) {
// Schedule an error print, which will get cleared if there
// were no source code errors.
- this.errorPrintTimeout = setTimeout(
- () => this.printCodeDueToError(),
- 1000
- );
+ this.errorPrintTimeout = setTimeout(() => this.printCodeDueToError(), 1000);
this.script.__inserted = true;
this._shadow.appendChild(this.script);
}
diff --git a/docs/js/custom-element/lib/bezierjs/bezier.js b/docs/js/custom-element/lib/bezierjs/bezier.js
index ed2e1f13..431648ad 100644
--- a/docs/js/custom-element/lib/bezierjs/bezier.js
+++ b/docs/js/custom-element/lib/bezierjs/bezier.js
@@ -23,8 +23,7 @@ const ZERO = { x: 0, y: 0, z: 0 };
*/
class Bezier {
constructor(coords) {
- let args =
- coords && coords.forEach ? coords : Array.from(arguments).slice();
+ let args = coords && coords.forEach ? coords : Array.from(arguments).slice();
let coordlen = false;
if (typeof args[0] === "object") {
@@ -46,25 +45,19 @@ class Bezier {
if (coordlen) {
if (coordlen > 4) {
if (arguments.length !== 1) {
- throw new Error(
- "Only new Bezier(point[]) is accepted for 4th and higher order curves"
- );
+ throw new Error("Only new Bezier(point[]) is accepted for 4th and higher order curves");
}
higher = true;
}
} else {
if (len !== 6 && len !== 8 && len !== 9 && len !== 12) {
if (arguments.length !== 1) {
- throw new Error(
- "Only new Bezier(point[]) is accepted for 4th and higher order curves"
- );
+ throw new Error("Only new Bezier(point[]) is accepted for 4th and higher order curves");
}
}
}
- const _3d = (this._3d =
- (!higher && (len === 9 || len === 12)) ||
- (coords && coords[0] && typeof coords[0].z !== "undefined"));
+ const _3d = (this._3d = (!higher && (len === 9 || len === 12)) || (coords && coords[0] && typeof coords[0].z !== "undefined"));
const points = (this.points = []);
for (let idx = 0, step = _3d ? 3 : 2; idx < len; idx += step) {
@@ -390,17 +383,7 @@ class Bezier {
c.y /= m;
c.z /= m;
// rotation matrix
- const R = [
- c.x * c.x,
- c.x * c.y - c.z,
- c.x * c.z + c.y,
- c.x * c.y + c.z,
- c.y * c.y,
- c.y * c.z - c.x,
- c.x * c.z - c.y,
- c.y * c.z + c.x,
- c.z * c.z,
- ];
+ const R = [c.x * c.x, c.x * c.y - c.z, c.x * c.z + c.y, c.x * c.y + c.z, c.y * c.y, c.y * c.z - c.x, c.x * c.z - c.y, c.y * c.z + c.x, c.z * c.z];
// normal vector:
const n = {
x: R[0] * r1.x + R[1] * r1.y + R[2] * r1.z,
@@ -446,14 +429,8 @@ class Bezier {
// no shortcut: use "de Casteljau" iteration.
const q = this.hull(t1);
const result = {
- left:
- this.order === 2
- ? new Bezier([q[0], q[3], q[5]])
- : new Bezier([q[0], q[4], q[7], q[9]]),
- right:
- this.order === 2
- ? new Bezier([q[5], q[4], q[2]])
- : new Bezier([q[9], q[8], q[6], q[3]]),
+ left: this.order === 2 ? new Bezier([q[0], q[3], q[5]]) : new Bezier([q[0], q[4], q[7], q[9]]),
+ right: this.order === 2 ? new Bezier([q[5], q[4], q[2]]) : new Bezier([q[9], q[8], q[6], q[3]]),
span: q,
};
@@ -722,12 +699,8 @@ class Bezier {
reduced.forEach(function (segment) {
slen = segment.length();
if (graduated) {
- fcurves.push(
- segment.scale(linearDistanceFunction(d1, d3, tlen, alen, slen))
- );
- bcurves.push(
- segment.scale(linearDistanceFunction(-d2, -d4, tlen, alen, slen))
- );
+ fcurves.push(segment.scale(linearDistanceFunction(d1, d3, tlen, alen, slen)));
+ bcurves.push(segment.scale(linearDistanceFunction(-d2, -d4, tlen, alen, slen)));
} else {
fcurves.push(segment.scale(d1));
bcurves.push(segment.scale(-d2));
@@ -766,11 +739,7 @@ class Bezier {
const outline = this.outline(d1, d2).curves;
const shapes = [];
for (let i = 1, len = outline.length; i < len / 2; i++) {
- const shape = utils.makeshape(
- outline[i],
- outline[len - i],
- curveIntersectionThreshold
- );
+ const shape = utils.makeshape(outline[i], outline[len - i], curveIntersectionThreshold);
shape.startcap.virtual = i > 1;
shape.endcap.virtual = i < len / 2 - 1;
shapes.push(shape);
@@ -786,11 +755,7 @@ class Bezier {
if (curve instanceof Bezier) {
curve = curve.reduce();
}
- return this.curveintersects(
- this.reduce(),
- curve,
- curveIntersectionThreshold
- );
+ return this.curveintersects(this.reduce(), curve, curveIntersectionThreshold);
}
lineIntersects(line) {
@@ -835,11 +800,7 @@ class Bezier {
// step 2: for each pairing, run through the convergence algorithm.
let intersections = [];
pairs.forEach(function (pair) {
- const result = utils.pairiteration(
- pair.left,
- pair.right,
- curveIntersectionThreshold
- );
+ const result = utils.pairiteration(pair.left, pair.right, curveIntersectionThreshold);
if (result.length > 0) {
intersections = intersections.concat(result);
}
diff --git a/docs/js/custom-element/lib/bezierjs/normalise-svg.js b/docs/js/custom-element/lib/bezierjs/normalise-svg.js
index 9a9f793a..d307b909 100644
--- a/docs/js/custom-element/lib/bezierjs/normalise-svg.js
+++ b/docs/js/custom-element/lib/bezierjs/normalise-svg.js
@@ -172,20 +172,7 @@ export default function normalizePath(d) {
x = args[a + 4];
y = args[a + 5];
}
- normalized +=
- "C " +
- cx +
- " " +
- cy +
- " " +
- cx2 +
- " " +
- cy2 +
- " " +
- x +
- " " +
- y +
- " ";
+ normalized += "C " + cx + " " + cy + " " + cx2 + " " + cy2 + " " + x + " " + y + " ";
}
} else if (lop === "s") {
for (a = 0; a < alen; a += 4) {
@@ -204,20 +191,7 @@ export default function normalizePath(d) {
x = args[a + 2];
y = args[a + 3];
}
- normalized +=
- "C " +
- cx +
- " " +
- cy +
- " " +
- cx2 +
- " " +
- cy2 +
- " " +
- x +
- " " +
- y +
- " ";
+ normalized += "C " + cx + " " + cy + " " + cx2 + " " + cy2 + " " + x + " " + y + " ";
}
}
@@ -239,22 +213,7 @@ export default function normalizePath(d) {
x = args[a + 5];
y = args[a + 6];
}
- normalized +=
- "A " +
- rx +
- " " +
- ry +
- " " +
- xrot +
- " " +
- lflag +
- " " +
- sweep +
- " " +
- x +
- " " +
- y +
- " ";
+ normalized += "A " + rx + " " + ry + " " + xrot + " " + lflag + " " + sweep + " " + x + " " + y + " ";
}
} else if (lop === "z") {
normalized += "Z ";
diff --git a/docs/js/custom-element/lib/bezierjs/utils.js b/docs/js/custom-element/lib/bezierjs/utils.js
index b4d5d7c5..d069154a 100644
--- a/docs/js/custom-element/lib/bezierjs/utils.js
+++ b/docs/js/custom-element/lib/bezierjs/utils.js
@@ -222,9 +222,7 @@ const utils = {
return {
x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x + f4 * p[3].x) / d,
y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y + f4 * p[3].y) / d,
- z: !_3d
- ? false
- : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z + f4 * p[3].z) / d,
+ z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z + f4 * p[3].z) / d,
t: t,
};
}
@@ -251,11 +249,7 @@ const utils = {
},
between: function (v, m, M) {
- return (
- (m <= v && v <= M) ||
- utils.approximately(v, m) ||
- utils.approximately(v, M)
- );
+ return (m <= v && v <= M) || utils.approximately(v, m) || utils.approximately(v, M);
},
approximately: function (a, b, precision) {
@@ -378,8 +372,7 @@ const utils = {
},
lli8: function (x1, y1, x2, y2, x3, y3, x4, y4) {
- const nx =
- (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4),
+ const nx = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4),
ny = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (x3 * y4 - y3 * x4),
d = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
if (d == 0) {
@@ -411,16 +404,7 @@ const utils = {
y2 = p2.y,
dx = (x2 - x1) / 3,
dy = (y2 - y1) / 3;
- return new Bezier(
- x1,
- y1,
- x1 + dx,
- y1 + dy,
- x1 + 2 * dx,
- y1 + 2 * dy,
- x2,
- y2
- );
+ return new Bezier(x1, y1, x1 + dx, y1 + dy, x1 + 2 * dx, y1 + 2 * dy, x2, y2);
},
findbbox: function (sections) {
@@ -441,13 +425,7 @@ const utils = {
};
},
- shapeintersections: function (
- s1,
- bbox1,
- s2,
- bbox2,
- curveIntersectionThreshold
- ) {
+ shapeintersections: function (s1, bbox1, s2, bbox2, curveIntersectionThreshold) {
if (!utils.bboxoverlap(bbox1, bbox2)) return [];
const intersections = [];
const a1 = [s1.startcap, s1.forward, s1.back, s1.endcap];
@@ -482,13 +460,7 @@ const utils = {
bbox: utils.findbbox([start, forward, back, end]),
};
shape.intersections = function (s2) {
- return utils.shapeintersections(
- shape,
- shape.bbox,
- s2,
- s2.bbox,
- curveIntersectionThreshold
- );
+ return utils.shapeintersections(shape, shape.bbox, s2, s2.bbox, curveIntersectionThreshold);
};
return shape;
},
@@ -685,11 +657,7 @@ const utils = {
const qdsum = d.x * d.x + d.y * d.y;
if (_3d) {
- num = sqrt(
- pow(d.y * dd.z - dd.y * d.z, 2) +
- pow(d.z * dd.x - dd.z * d.x, 2) +
- pow(d.x * dd.y - dd.x * d.y, 2)
- );
+ num = sqrt(pow(d.y * dd.z - dd.y * d.z, 2) + pow(d.z * dd.x - dd.z * d.x, 2) + pow(d.x * dd.y - dd.x * d.y, 2));
dnm = pow(qdsum + d.z * d.z, 3 / 2);
} else {
num = d.x * dd.y - d.y * dd.x;
@@ -803,15 +771,8 @@ const utils = {
r = 100000,
threshold = curveIntersectionThreshold || 0.5;
- if (
- c1b.x.size + c1b.y.size < threshold &&
- c2b.x.size + c2b.y.size < threshold
- ) {
- return [
- (((r * (c1._t1 + c1._t2)) / 2) | 0) / r +
- "/" +
- (((r * (c2._t1 + c2._t2)) / 2) | 0) / r,
- ];
+ if (c1b.x.size + c1b.y.size < threshold && c2b.x.size + c2b.y.size < threshold) {
+ return [(((r * (c1._t1 + c1._t2)) / 2) | 0) / r + "/" + (((r * (c2._t1 + c2._t2)) / 2) | 0) / r];
}
let cc1 = c1.split(0.5),
@@ -832,9 +793,7 @@ const utils = {
if (pairs.length === 0) return results;
pairs.forEach(function (pair) {
- results = results.concat(
- utils.pairiteration(pair.left, pair.right, threshold)
- );
+ results = results.concat(utils.pairiteration(pair.left, pair.right, threshold));
});
results = results.filter(function (v, i) {
diff --git a/docs/js/custom-element/lib/enrich.js b/docs/js/custom-element/lib/enrich.js
index e0031432..548b9e41 100644
--- a/docs/js/custom-element/lib/enrich.js
+++ b/docs/js/custom-element/lib/enrich.js
@@ -18,9 +18,7 @@ function enrich(element) {
if (!evtNames.map) evtNames = [evtNames];
evtNames.forEach((evtName) => {
if (!handler) {
- return element.__listeners[evtName].forEach((h) =>
- element.removeEventListener(evtName, h)
- );
+ return element.__listeners[evtName].forEach((h) => element.removeEventListener(evtName, h));
}
element.removeEventListener(evtName, handler);
});
diff --git a/docs/js/custom-element/lib/lexer.js b/docs/js/custom-element/lib/lexer.js
index 58c0e4d5..c7fab63b 100644
--- a/docs/js/custom-element/lib/lexer.js
+++ b/docs/js/custom-element/lib/lexer.js
@@ -93,11 +93,7 @@ class Lexer {
token = this.tokens[this.pos++];
buffer.push(token);
blen++;
- } while (
- token !== symbol &&
- buffer[blen - 2] !== `\\` &&
- this.pos < this.tokens.length
- );
+ } while (token !== symbol && buffer[blen - 2] !== `\\` && this.pos < this.tokens.length);
// buffer = buffer.join(``);
// if (symbol === "`") {
// this.parseTemplateString(buffer);
diff --git a/docs/js/site/better-lazy-loading.js b/docs/js/site/better-lazy-loading.js
index 9c0897ee..b2c2f511 100644
--- a/docs/js/site/better-lazy-loading.js
+++ b/docs/js/site/better-lazy-loading.js
@@ -6,9 +6,7 @@
* loading in", which is super shitty UX.
*/
-const images = Array.from(
- document.querySelectorAll(`img.LaTeX.SVG[loading=lazy]`)
-);
+const images = Array.from(document.querySelectorAll(`img.LaTeX.SVG[loading=lazy]`));
// Deactivate the images
images.forEach((img) => {
diff --git a/docs/js/site/social-updater.js b/docs/js/site/social-updater.js
index 273f5ea1..d69b7168 100644
--- a/docs/js/site/social-updater.js
+++ b/docs/js/site/social-updater.js
@@ -16,17 +16,13 @@ class Tracker {
this.hash = a.hash;
this.sectionTitle = a.textContent;
this.socials.forEach((social) => {
- var area = document.querySelector(
- `map[name=rhtimap] area.sclnk-${social}`
- );
+ var area = document.querySelector(`map[name=rhtimap] area.sclnk-${social}`);
area.href = this[`get_${social}`]();
});
}
get url() {
- return encodeURIComponent(
- `https://pomax.github.io/bezierinfo${this.hash ? this.hash : ""}`
- );
+ return encodeURIComponent(`https://pomax.github.io/bezierinfo${this.hash ? this.hash : ""}`);
}
getTitle() {
@@ -39,9 +35,7 @@ class Tracker {
get_rdt() {
var title = this.getTitle();
- var text = encodeURIComponent(
- `A free, online book for when you really need to know how to do Bézier things.`
- );
+ var text = encodeURIComponent(`A free, online book for when you really need to know how to do Bézier things.`);
return `https://www.reddit.com/submit?url=${this.url}&title=${title}&text=${text}`;
}
@@ -51,10 +45,7 @@ class Tracker {
}
get_twt() {
- var text =
- encodeURIComponent(
- `Reading "${this.sectionTitle}" by @TheRealPomax over on `
- ) + this.url;
+ var text = encodeURIComponent(`Reading "${this.sectionTitle}" by @TheRealPomax over on `) + this.url;
return `https://twitter.com/intent/tweet?original_referer=${this.url}&text=${text}&hashtags=bezier,curves,maths`;
}
}
diff --git a/docs/legendre-gauss.html b/docs/legendre-gauss.html
index b7bd742d..33a12d8e 100644
--- a/docs/legendre-gauss.html
+++ b/docs/legendre-gauss.html
@@ -1,60 +1,96 @@
-
- Gaussian Quadrature Weights and Abscissae
-
-
-
-
-
- Gaussian Quadrature Weights and Abscissae
+ img {
+ margin-left: 2em;
+ }
+
+
+
+
+
+ Gaussian Quadrature Weights and Abscissae
- This page is a tabulation of weights and abscissae for use in performing
- Legendre-Gauss quadrature
- integral approximation, which tries to solve the following function
+
+ This page is a tabulation of weights and abscissae for use in performing
+ Legendre-Gauss quadrature
+ integral approximation, which tries to solve the following function
+
-
+
+
- by picking approximate values for n , wi and xi .
- While only defined for the interval [-1,1], this is actually a universal function, because we can
- convert the limits of integration for any interval [a,b] to the Legendre-Gauss interval [-1,1]:
+
+ by picking approximate values for n , wi and xi . While only defined for the interval [-1,1], this is actually a universal function, because we can convert the limits of integration for any
+ interval [a,b] to the Legendre-Gauss interval [-1,1]:
+
-
+
+
- The summation function is called the Legendre-Gauss quadrature rule because the abscissae
- xi in the Gauss quadrature function for [-1,1] are defined as the roots of the
- Legendre polynomial for n:
+
+ The summation function is called the Legendre-Gauss quadrature rule because the abscissae xi in the Gauss quadrature function
+ for [-1,1] are defined as the roots of the Legendre polynomial for n:
+
-
+
+
- with the weights wi coming from the following function:
+
+ with the weights wi coming from the following function:
+
-
+
+
- (The procedure is explained in more detail
- here , with a very accessible
- video lecture on the theory behind the Gauss quadrature rule
- here )
+
+ (The procedure is explained in more detail here , with a very accessible
+ video lecture on the theory behind the Gauss quadrature rule
+ here )
+
- The tables provided here give the values for xi and wi for
- n=2 through n=64, with an internal decimal precision of 256, limited to 16 decimals due to floating
- point number limits in PHP. These tables were made using the numbers that are generated by the
- following series of Mathematica instructions:
+
+ The tables provided here give the values for xi and wi for n=2 through n=64, with an internal decimal
+ precision of 256, limited to 16 decimals due to floating point number limits in PHP. These tables were made using the numbers that are generated
+ by the following series of Mathematica instructions:
+
- symboliclegendre[n_, x_] := Solve[LegendreP[n, x] == 0];
+
+ symboliclegendre[n_, x_] := Solve[LegendreP[n, x] == 0];
legendreprime[n_, a_] := D[LegendreP[n, x], x] /. x -> a;
weights[n_, x_] := 2/((1 - x^2) legendreprime[n, x]^2);
@@ -75,2862 +111,12816 @@
slist := symboliclegendre[n, x];
xslist = x /. slist;
Do[Write[str, N[weights[n, Part[xslist, i]], precision]], {i, Length[xslist]}];, {n, 2, h}];
- Close[str];
-
- If you need higher precision than is presented on this web page you can either download the
- abscissae and weights files below, or you can run this program in Mathematica yourself, with
- higher precision and/or higher h values.
-
-
- abscissae (607KB, easily converted to not-PHP)weights (615KB, easily converted to not-PHP)
-
- Weights and Abscissae Tables for n=2 to n=64
-
-
-
-
-
n = 2 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 1.0000000000000000 -0.5773502691896257 2 1.0000000000000000 0.5773502691896257
-
-
-
-
-
n = 3 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.8888888888888888 0.0000000000000000 2 0.5555555555555556 -0.7745966692414834 3 0.5555555555555556 0.7745966692414834
-
-
-
-
-
n = 4 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.6521451548625461 -0.3399810435848563 2 0.6521451548625461 0.3399810435848563 3 0.3478548451374538 -0.8611363115940526 4 0.3478548451374538 0.8611363115940526
-
-
-
-
-
n = 5 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.5688888888888889 0.0000000000000000 2 0.4786286704993665 -0.5384693101056831 3 0.4786286704993665 0.5384693101056831 4 0.2369268850561891 -0.9061798459386640 5 0.2369268850561891 0.9061798459386640
-
-
-
-
-
n = 6 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.3607615730481386 0.6612093864662645 2 0.3607615730481386 -0.6612093864662645 3 0.4679139345726910 -0.2386191860831969 4 0.4679139345726910 0.2386191860831969 5 0.1713244923791704 -0.9324695142031521 6 0.1713244923791704 0.9324695142031521
-
-
-
-
-
n = 7 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.4179591836734694 0.0000000000000000 2 0.3818300505051189 0.4058451513773972 3 0.3818300505051189 -0.4058451513773972 4 0.2797053914892766 -0.7415311855993945 5 0.2797053914892766 0.7415311855993945 6 0.1294849661688697 -0.9491079123427585 7 0.1294849661688697 0.9491079123427585
-
-
-
-
-
n = 8 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.3626837833783620 -0.1834346424956498 2 0.3626837833783620 0.1834346424956498 3 0.3137066458778873 -0.5255324099163290 4 0.3137066458778873 0.5255324099163290 5 0.2223810344533745 -0.7966664774136267 6 0.2223810344533745 0.7966664774136267 7 0.1012285362903763 -0.9602898564975363 8 0.1012285362903763 0.9602898564975363
-
-
-
-
-
n = 9 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.3302393550012598 0.0000000000000000 2 0.1806481606948574 -0.8360311073266358 3 0.1806481606948574 0.8360311073266358 4 0.0812743883615744 -0.9681602395076261 5 0.0812743883615744 0.9681602395076261 6 0.3123470770400029 -0.3242534234038089 7 0.3123470770400029 0.3242534234038089 8 0.2606106964029354 -0.6133714327005904 9 0.2606106964029354 0.6133714327005904
-
-
-
-
-
n = 10 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2955242247147529 -0.1488743389816312 2 0.2955242247147529 0.1488743389816312 3 0.2692667193099963 -0.4333953941292472 4 0.2692667193099963 0.4333953941292472 5 0.2190863625159820 -0.6794095682990244 6 0.2190863625159820 0.6794095682990244 7 0.1494513491505806 -0.8650633666889845 8 0.1494513491505806 0.8650633666889845 9 0.0666713443086881 -0.9739065285171717 10 0.0666713443086881 0.9739065285171717
-
-
-
-
-
n = 11 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2729250867779006 0.0000000000000000 2 0.2628045445102467 -0.2695431559523450 3 0.2628045445102467 0.2695431559523450 4 0.2331937645919905 -0.5190961292068118 5 0.2331937645919905 0.5190961292068118 6 0.1862902109277343 -0.7301520055740494 7 0.1862902109277343 0.7301520055740494 8 0.1255803694649046 -0.8870625997680953 9 0.1255803694649046 0.8870625997680953 10 0.0556685671161737 -0.9782286581460570 11 0.0556685671161737 0.9782286581460570
-
-
-
-
-
n = 12 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2491470458134028 -0.1252334085114689 2 0.2491470458134028 0.1252334085114689 3 0.2334925365383548 -0.3678314989981802 4 0.2334925365383548 0.3678314989981802 5 0.2031674267230659 -0.5873179542866175 6 0.2031674267230659 0.5873179542866175 7 0.1600783285433462 -0.7699026741943047 8 0.1600783285433462 0.7699026741943047 9 0.1069393259953184 -0.9041172563704749 10 0.1069393259953184 0.9041172563704749 11 0.0471753363865118 -0.9815606342467192 12 0.0471753363865118 0.9815606342467192
-
-
-
-
-
n = 13 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2325515532308739 0.0000000000000000 2 0.2262831802628972 -0.2304583159551348 3 0.2262831802628972 0.2304583159551348 4 0.2078160475368885 -0.4484927510364469 5 0.2078160475368885 0.4484927510364469 6 0.1781459807619457 -0.6423493394403402 7 0.1781459807619457 0.6423493394403402 8 0.1388735102197872 -0.8015780907333099 9 0.1388735102197872 0.8015780907333099 10 0.0921214998377285 -0.9175983992229779 11 0.0921214998377285 0.9175983992229779 12 0.0404840047653159 -0.9841830547185881 13 0.0404840047653159 0.9841830547185881
-
-
-
-
-
n = 14 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2152638534631578 -0.1080549487073437 2 0.2152638534631578 0.1080549487073437 3 0.2051984637212956 -0.3191123689278897 4 0.2051984637212956 0.3191123689278897 5 0.1855383974779378 -0.5152486363581541 6 0.1855383974779378 0.5152486363581541 7 0.1572031671581935 -0.6872929048116855 8 0.1572031671581935 0.6872929048116855 9 0.1215185706879032 -0.8272013150697650 10 0.1215185706879032 0.8272013150697650 11 0.0801580871597602 -0.9284348836635735 12 0.0801580871597602 0.9284348836635735 13 0.0351194603317519 -0.9862838086968123 14 0.0351194603317519 0.9862838086968123
-
-
-
-
-
n = 15 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.2025782419255613 0.0000000000000000 2 0.1984314853271116 -0.2011940939974345 3 0.1984314853271116 0.2011940939974345 4 0.1861610000155622 -0.3941513470775634 5 0.1861610000155622 0.3941513470775634 6 0.1662692058169939 -0.5709721726085388 7 0.1662692058169939 0.5709721726085388 8 0.1395706779261543 -0.7244177313601701 9 0.1395706779261543 0.7244177313601701 10 0.1071592204671719 -0.8482065834104272 11 0.1071592204671719 0.8482065834104272 12 0.0703660474881081 -0.9372733924007060 13 0.0703660474881081 0.9372733924007060 14 0.0307532419961173 -0.9879925180204854 15 0.0307532419961173 0.9879925180204854
-
-
-
-
-
n = 16 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1894506104550685 -0.0950125098376374 2 0.1894506104550685 0.0950125098376374 3 0.1826034150449236 -0.2816035507792589 4 0.1826034150449236 0.2816035507792589 5 0.1691565193950025 -0.4580167776572274 6 0.1691565193950025 0.4580167776572274 7 0.1495959888165767 -0.6178762444026438 8 0.1495959888165767 0.6178762444026438 9 0.1246289712555339 -0.7554044083550030 10 0.1246289712555339 0.7554044083550030 11 0.0951585116824928 -0.8656312023878318 12 0.0951585116824928 0.8656312023878318 13 0.0622535239386479 -0.9445750230732326 14 0.0622535239386479 0.9445750230732326 15 0.0271524594117541 -0.9894009349916499 16 0.0271524594117541 0.9894009349916499
-
-
-
-
-
n = 17 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1794464703562065 0.0000000000000000 2 0.1765627053669926 -0.1784841814958479 3 0.1765627053669926 0.1784841814958479 4 0.1680041021564500 -0.3512317634538763 5 0.1680041021564500 0.3512317634538763 6 0.1540457610768103 -0.5126905370864769 7 0.1540457610768103 0.5126905370864769 8 0.1351363684685255 -0.6576711592166907 9 0.1351363684685255 0.6576711592166907 10 0.1118838471934040 -0.7815140038968014 11 0.1118838471934040 0.7815140038968014 12 0.0850361483171792 -0.8802391537269859 13 0.0850361483171792 0.8802391537269859 14 0.0554595293739872 -0.9506755217687678 15 0.0554595293739872 0.9506755217687678 16 0.0241483028685479 -0.9905754753144174 17 0.0241483028685479 0.9905754753144174
-
-
-
-
-
n = 18 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1691423829631436 -0.0847750130417353 2 0.1691423829631436 0.0847750130417353 3 0.1642764837458327 -0.2518862256915055 4 0.1642764837458327 0.2518862256915055 5 0.1546846751262652 -0.4117511614628426 6 0.1546846751262652 0.4117511614628426 7 0.1406429146706507 -0.5597708310739475 8 0.1406429146706507 0.5597708310739475 9 0.1225552067114785 -0.6916870430603532 10 0.1225552067114785 0.6916870430603532 11 0.1009420441062872 -0.8037049589725231 12 0.1009420441062872 0.8037049589725231 13 0.0764257302548891 -0.8926024664975557 14 0.0764257302548891 0.8926024664975557 15 0.0497145488949698 -0.9558239495713977 16 0.0497145488949698 0.9558239495713977 17 0.0216160135264833 -0.9915651684209309 18 0.0216160135264833 0.9915651684209309
-
-
-
-
-
n = 19 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1610544498487837 0.0000000000000000 2 0.1589688433939543 -0.1603586456402254 3 0.1589688433939543 0.1603586456402254 4 0.1527660420658597 -0.3165640999636298 5 0.1527660420658597 0.3165640999636298 6 0.1426067021736066 -0.4645707413759609 7 0.1426067021736066 0.4645707413759609 8 0.1287539625393362 -0.6005453046616810 9 0.1287539625393362 0.6005453046616810 10 0.1115666455473340 -0.7209661773352294 11 0.1115666455473340 0.7209661773352294 12 0.0914900216224500 -0.8227146565371428 13 0.0914900216224500 0.8227146565371428 14 0.0690445427376412 -0.9031559036148179 15 0.0690445427376412 0.9031559036148179 16 0.0448142267656996 -0.9602081521348300 17 0.0448142267656996 0.9602081521348300 18 0.0194617882297265 -0.9924068438435844 19 0.0194617882297265 0.9924068438435844
-
-
-
-
-
n = 20 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1527533871307258 -0.0765265211334973 2 0.1527533871307258 0.0765265211334973 3 0.1491729864726037 -0.2277858511416451 4 0.1491729864726037 0.2277858511416451 5 0.1420961093183820 -0.3737060887154195 6 0.1420961093183820 0.3737060887154195 7 0.1316886384491766 -0.5108670019508271 8 0.1316886384491766 0.5108670019508271 9 0.1181945319615184 -0.6360536807265150 10 0.1181945319615184 0.6360536807265150 11 0.1019301198172404 -0.7463319064601508 12 0.1019301198172404 0.7463319064601508 13 0.0832767415767048 -0.8391169718222188 14 0.0832767415767048 0.8391169718222188 15 0.0626720483341091 -0.9122344282513259 16 0.0626720483341091 0.9122344282513259 17 0.0406014298003869 -0.9639719272779138 18 0.0406014298003869 0.9639719272779138 19 0.0176140071391521 -0.9931285991850949 20 0.0176140071391521 0.9931285991850949
-
-
-
-
-
n = 21 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1460811336496904 0.0000000000000000 2 0.1445244039899700 -0.1455618541608951 3 0.1445244039899700 0.1455618541608951 4 0.1398873947910731 -0.2880213168024011 5 0.1398873947910731 0.2880213168024011 6 0.1322689386333375 -0.4243421202074388 7 0.1322689386333375 0.4243421202074388 8 0.1218314160537285 -0.5516188358872198 9 0.1218314160537285 0.5516188358872198 10 0.1087972991671484 -0.6671388041974123 11 0.1087972991671484 0.6671388041974123 12 0.0934444234560339 -0.7684399634756779 13 0.0934444234560339 0.7684399634756779 14 0.0761001136283793 -0.8533633645833173 15 0.0761001136283793 0.8533633645833173 16 0.0571344254268572 -0.9200993341504008 17 0.0571344254268572 0.9200993341504008 18 0.0369537897708525 -0.9672268385663063 19 0.0369537897708525 0.9672268385663063 20 0.0160172282577743 -0.9937521706203895 21 0.0160172282577743 0.9937521706203895
-
-
-
-
-
n = 22 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1392518728556320 -0.0697392733197222 2 0.1392518728556320 0.0697392733197222 3 0.1365414983460152 -0.2078604266882213 4 0.1365414983460152 0.2078604266882213 5 0.1311735047870624 -0.3419358208920842 6 0.1311735047870624 0.3419358208920842 7 0.1232523768105124 -0.4693558379867570 8 0.1232523768105124 0.4693558379867570 9 0.1129322960805392 -0.5876404035069116 10 0.1129322960805392 0.5876404035069116 11 0.1004141444428810 -0.6944872631866827 12 0.1004141444428810 0.6944872631866827 13 0.0859416062170677 -0.7878168059792081 14 0.0859416062170677 0.7878168059792081 15 0.0697964684245205 -0.8658125777203002 16 0.0697964684245205 0.8658125777203002 17 0.0522933351526833 -0.9269567721871740 18 0.0522933351526833 0.9269567721871740 19 0.0337749015848142 -0.9700604978354287 20 0.0337749015848142 0.9700604978354287 21 0.0146279952982722 -0.9942945854823992 22 0.0146279952982722 0.9942945854823992
-
-
-
-
-
n = 23 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1336545721861062 0.0000000000000000 2 0.1324620394046966 -0.1332568242984661 3 0.1324620394046966 0.1332568242984661 4 0.1289057221880822 -0.2641356809703450 5 0.1289057221880822 0.2641356809703450 6 0.1230490843067295 -0.3903010380302908 7 0.1230490843067295 0.3903010380302908 8 0.1149966402224114 -0.5095014778460075 9 0.1149966402224114 0.5095014778460075 10 0.1048920914645414 -0.6196098757636461 11 0.1048920914645414 0.6196098757636461 12 0.0929157660600352 -0.7186613631319502 13 0.0929157660600352 0.7186613631319502 14 0.0792814117767189 -0.8048884016188399 15 0.0792814117767189 0.8048884016188399 16 0.0642324214085258 -0.8767523582704416 17 0.0642324214085258 0.8767523582704416 18 0.0480376717310847 -0.9329710868260161 19 0.0480376717310847 0.9329710868260161 20 0.0309880058569794 -0.9725424712181152 21 0.0309880058569794 0.9725424712181152 22 0.0134118594871418 -0.9947693349975522 23 0.0134118594871418 0.9947693349975522
-
-
-
-
-
n = 24 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1279381953467522 -0.0640568928626056 2 0.1279381953467522 0.0640568928626056 3 0.1258374563468283 -0.1911188674736163 4 0.1258374563468283 0.1911188674736163 5 0.1216704729278034 -0.3150426796961634 6 0.1216704729278034 0.3150426796961634 7 0.1155056680537256 -0.4337935076260451 8 0.1155056680537256 0.4337935076260451 9 0.1074442701159656 -0.5454214713888396 10 0.1074442701159656 0.5454214713888396 11 0.0976186521041139 -0.6480936519369755 12 0.0976186521041139 0.6480936519369755 13 0.0861901615319533 -0.7401241915785544 14 0.0861901615319533 0.7401241915785544 15 0.0733464814110803 -0.8200019859739029 16 0.0733464814110803 0.8200019859739029 17 0.0592985849154368 -0.8864155270044011 18 0.0592985849154368 0.8864155270044011 19 0.0442774388174198 -0.9382745520027328 20 0.0442774388174198 0.9382745520027328 21 0.0285313886289337 -0.9747285559713095 22 0.0285313886289337 0.9747285559713095 23 0.0123412297999872 -0.9951872199970213 24 0.0123412297999872 0.9951872199970213
-
-
-
-
-
n = 25 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1231760537267154 0.0000000000000000 2 0.1222424429903100 -0.1228646926107104 3 0.1222424429903100 0.1228646926107104 4 0.1194557635357848 -0.2438668837209884 5 0.1194557635357848 0.2438668837209884 6 0.1148582591457116 -0.3611723058093879 7 0.1148582591457116 0.3611723058093879 8 0.1085196244742637 -0.4730027314457150 9 0.1085196244742637 0.4730027314457150 10 0.1005359490670506 -0.5776629302412229 11 0.1005359490670506 0.5776629302412229 12 0.0910282619829637 -0.6735663684734684 13 0.0910282619829637 0.6735663684734684 14 0.0801407003350010 -0.7592592630373576 15 0.0801407003350010 0.7592592630373576 16 0.0680383338123569 -0.8334426287608340 17 0.0680383338123569 0.8334426287608340 18 0.0549046959758352 -0.8949919978782753 19 0.0549046959758352 0.8949919978782753 20 0.0409391567013063 -0.9429745712289743 21 0.0409391567013063 0.9429745712289743 22 0.0263549866150321 -0.9766639214595175 23 0.0263549866150321 0.9766639214595175 24 0.0113937985010263 -0.9955569697904981 25 0.0113937985010263 0.9955569697904981
-
-
-
-
-
n = 26 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1183214152792623 -0.0592300934293132 2 0.1183214152792623 0.0592300934293132 3 0.1166604434852966 -0.1768588203568902 4 0.1166604434852966 0.1768588203568902 5 0.1133618165463197 -0.2920048394859569 6 0.1133618165463197 0.2920048394859569 7 0.1084718405285766 -0.4030517551234863 8 0.1084718405285766 0.4030517551234863 9 0.1020591610944254 -0.5084407148245057 10 0.1020591610944254 0.5084407148245057 11 0.0942138003559141 -0.6066922930176181 12 0.0942138003559141 0.6066922930176181 13 0.0850458943134852 -0.6964272604199573 14 0.0850458943134852 0.6964272604199573 15 0.0746841497656597 -0.7763859488206789 16 0.0746841497656597 0.7763859488206789 17 0.0632740463295748 -0.8454459427884981 18 0.0632740463295748 0.8454459427884981 19 0.0509758252971478 -0.9026378619843071 20 0.0509758252971478 0.9026378619843071 21 0.0379623832943628 -0.9471590666617142 22 0.0379623832943628 0.9471590666617142 23 0.0244178510926319 -0.9783854459564710 24 0.0244178510926319 0.9783854459564710 25 0.0105513726173430 -0.9958857011456169 26 0.0105513726173430 0.9958857011456169
-
-
-
-
-
n = 27 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1142208673789570 0.0000000000000000 2 0.1134763461089651 -0.1139725856095300 3 0.1134763461089651 0.1139725856095300 4 0.1112524883568452 -0.2264593654395368 5 0.1112524883568452 0.2264593654395368 6 0.1075782857885332 -0.3359939036385089 7 0.1075782857885332 0.3359939036385089 8 0.1025016378177458 -0.4411482517500269 9 0.1025016378177458 0.4411482517500269 10 0.0960887273700285 -0.5405515645794569 11 0.0960887273700285 0.5405515645794569 12 0.0884231585437569 -0.6329079719464952 13 0.0884231585437569 0.6329079719464952 14 0.0796048677730578 -0.7170134737394237 15 0.0796048677730578 0.7170134737394237 16 0.0697488237662456 -0.7917716390705082 17 0.0697488237662456 0.7917716390705082 18 0.0589835368598336 -0.8562079080182945 19 0.0589835368598336 0.8562079080182945 20 0.0474494125206151 -0.9094823206774911 21 0.0474494125206151 0.9094823206774911 22 0.0352970537574197 -0.9509005578147051 23 0.0352970537574197 0.9509005578147051 24 0.0226862315961806 -0.9799234759615012 25 0.0226862315961806 0.9799234759615012 26 0.0097989960512944 -0.9961792628889886 27 0.0097989960512944 0.9961792628889886
-
-
-
-
-
n = 28 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1100470130164752 -0.0550792898840343 2 0.1100470130164752 0.0550792898840343 3 0.1087111922582941 -0.1645692821333808 4 0.1087111922582941 0.1645692821333808 5 0.1060557659228464 -0.2720616276351781 6 0.1060557659228464 0.2720616276351781 7 0.1021129675780608 -0.3762515160890787 8 0.1021129675780608 0.3762515160890787 9 0.0969306579979299 -0.4758742249551183 10 0.0969306579979299 0.4758742249551183 11 0.0905717443930328 -0.5697204718114017 12 0.0905717443930328 0.5697204718114017 13 0.0831134172289012 -0.6566510940388650 14 0.0831134172289012 0.6566510940388650 15 0.0746462142345688 -0.7356108780136318 16 0.0746462142345688 0.7356108780136318 17 0.0652729239669996 -0.8056413709171791 18 0.0652729239669996 0.8056413709171791 19 0.0551073456757167 -0.8658925225743951 20 0.0551073456757167 0.8658925225743951 21 0.0442729347590042 -0.9156330263921321 22 0.0442729347590042 0.9156330263921321 23 0.0329014277823044 -0.9542592806289382 24 0.0329014277823044 0.9542592806289382 25 0.0211321125927713 -0.9813031653708727 26 0.0211321125927713 0.9813031653708727 27 0.0091242825930945 -0.9964424975739544 28 0.0091242825930945 0.9964424975739544
-
-
-
-
-
n = 29 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1064793817183142 0.0000000000000000 2 0.1058761550973209 -0.1062782301326792 3 0.1058761550973209 0.1062782301326792 4 0.1040733100777294 -0.2113522861660011 5 0.1040733100777294 0.2113522861660011 6 0.1010912737599150 -0.3140316378676399 7 0.1010912737599150 0.3140316378676399 8 0.0969638340944086 -0.4131528881740086 9 0.0969638340944086 0.4131528881740086 10 0.0917377571392588 -0.5075929551242276 11 0.0917377571392588 0.5075929551242276 12 0.0854722573661725 -0.5962817971382278 13 0.0854722573661725 0.5962817971382278 14 0.0782383271357638 -0.6782145376026865 15 0.0782383271357638 0.6782145376026865 16 0.0701179332550513 -0.7524628517344771 17 0.0701179332550513 0.7524628517344771 18 0.0612030906570791 -0.8181854876152524 19 0.0612030906570791 0.8181854876152524 20 0.0515948269024979 -0.8746378049201028 21 0.0515948269024979 0.8746378049201028 22 0.0414020625186828 -0.9211802329530587 23 0.0414020625186828 0.9211802329530587 24 0.0307404922020936 -0.9572855957780877 25 0.0307404922020936 0.9572855957780877 26 0.0197320850561227 -0.9825455052614132 27 0.0197320850561227 0.9825455052614132 28 0.0085169038787464 -0.9966794422605966 29 0.0085169038787464 0.9966794422605966
-
-
-
-
-
n = 30 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.1028526528935588 -0.0514718425553177 2 0.1028526528935588 0.0514718425553177 3 0.1017623897484055 -0.1538699136085835 4 0.1017623897484055 0.1538699136085835 5 0.0995934205867953 -0.2546369261678899 6 0.0995934205867953 0.2546369261678899 7 0.0963687371746443 -0.3527047255308781 8 0.0963687371746443 0.3527047255308781 9 0.0921225222377861 -0.4470337695380892 10 0.0921225222377861 0.4470337695380892 11 0.0868997872010830 -0.5366241481420199 12 0.0868997872010830 0.5366241481420199 13 0.0807558952294202 -0.6205261829892429 14 0.0807558952294202 0.6205261829892429 15 0.0737559747377052 -0.6978504947933158 16 0.0737559747377052 0.6978504947933158 17 0.0659742298821805 -0.7677774321048262 18 0.0659742298821805 0.7677774321048262 19 0.0574931562176191 -0.8295657623827684 20 0.0574931562176191 0.8295657623827684 21 0.0484026728305941 -0.8825605357920527 22 0.0484026728305941 0.8825605357920527 23 0.0387991925696271 -0.9262000474292743 24 0.0387991925696271 0.9262000474292743 25 0.0287847078833234 -0.9600218649683075 26 0.0287847078833234 0.9600218649683075 27 0.0184664683110910 -0.9836681232797472 28 0.0184664683110910 0.9836681232797472 29 0.0079681924961666 -0.9968934840746495 30 0.0079681924961666 0.9968934840746495
-
-
-
-
-
n = 31 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0997205447934265 0.0000000000000000 2 0.0992250112266723 -0.0995553121523415 3 0.0992250112266723 0.0995553121523415 4 0.0977433353863287 -0.1981211993355706 5 0.0977433353863287 0.1981211993355706 6 0.0952902429123195 -0.2947180699817016 7 0.0952902429123195 0.2947180699817016 8 0.0918901138936415 -0.3883859016082329 9 0.0918901138936415 0.3883859016082329 10 0.0875767406084779 -0.4781937820449025 11 0.0875767406084779 0.4781937820449025 12 0.0823929917615893 -0.5632491614071493 13 0.0823929917615893 0.5632491614071493 14 0.0763903865987766 -0.6427067229242603 15 0.0763903865987766 0.6427067229242603 16 0.0696285832354104 -0.7157767845868532 17 0.0696285832354104 0.7157767845868532 18 0.0621747865610284 -0.7817331484166249 19 0.0621747865610284 0.7817331484166249 20 0.0541030824249169 -0.8399203201462674 21 0.0541030824249169 0.8399203201462674 22 0.0454937075272011 -0.8897600299482711 23 0.0454937075272011 0.8897600299482711 24 0.0364322739123855 -0.9307569978966481 25 0.0364322739123855 0.9307569978966481 26 0.0270090191849794 -0.9625039250929497 27 0.0270090191849794 0.9625039250929497 28 0.0173186207903106 -0.9846859096651525 29 0.0173186207903106 0.9846859096651525 30 0.0074708315792488 -0.9970874818194770 31 0.0074708315792488 0.9970874818194770
-
-
-
-
-
n = 32 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0965400885147278 -0.0483076656877383 2 0.0965400885147278 0.0483076656877383 3 0.0956387200792749 -0.1444719615827965 4 0.0956387200792749 0.1444719615827965 5 0.0938443990808046 -0.2392873622521371 6 0.0938443990808046 0.2392873622521371 7 0.0911738786957639 -0.3318686022821277 8 0.0911738786957639 0.3318686022821277 9 0.0876520930044038 -0.4213512761306353 10 0.0876520930044038 0.4213512761306353 11 0.0833119242269467 -0.5068999089322294 12 0.0833119242269467 0.5068999089322294 13 0.0781938957870703 -0.5877157572407623 14 0.0781938957870703 0.5877157572407623 15 0.0723457941088485 -0.6630442669302152 16 0.0723457941088485 0.6630442669302152 17 0.0658222227763618 -0.7321821187402897 18 0.0658222227763618 0.7321821187402897 19 0.0586840934785355 -0.7944837959679424 20 0.0586840934785355 0.7944837959679424 21 0.0509980592623762 -0.8493676137325700 22 0.0509980592623762 0.8493676137325700 23 0.0428358980222267 -0.8963211557660521 24 0.0428358980222267 0.8963211557660521 25 0.0342738629130214 -0.9349060759377397 26 0.0342738629130214 0.9349060759377397 27 0.0253920653092621 -0.9647622555875064 28 0.0253920653092621 0.9647622555875064 29 0.0162743947309057 -0.9856115115452684 30 0.0162743947309057 0.9856115115452684 31 0.0070186100094701 -0.9972638618494816 32 0.0070186100094701 0.9972638618494816
-
-
-
-
-
n = 33 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0937684461602100 0.0000000000000000 2 0.0933564260655961 -0.0936310658547334 3 0.0933564260655961 0.0936310658547334 4 0.0921239866433168 -0.1864392988279916 5 0.0921239866433168 0.1864392988279916 6 0.0900819586606386 -0.2776090971524970 7 0.0900819586606386 0.2776090971524970 8 0.0872482876188443 -0.3663392577480734 9 0.0872482876188443 0.3663392577480734 10 0.0836478760670387 -0.4518500172724507 11 0.0836478760670387 0.4518500172724507 12 0.0793123647948867 -0.5333899047863476 13 0.0793123647948867 0.5333899047863476 14 0.0742798548439541 -0.6102423458363790 15 0.0742798548439541 0.6102423458363790 16 0.0685945728186567 -0.6817319599697428 17 0.0685945728186567 0.6817319599697428 18 0.0623064825303175 -0.7472304964495622 19 0.0623064825303175 0.7472304964495622 20 0.0554708466316636 -0.8061623562741665 21 0.0554708466316636 0.8061623562741665 22 0.0481477428187117 -0.8580096526765041 23 0.0481477428187117 0.8580096526765041 24 0.0404015413316696 -0.9023167677434336 25 0.0404015413316696 0.9023167677434336 26 0.0323003586323290 -0.9386943726111684 27 0.0323003586323290 0.9386943726111684 28 0.0239155481017495 -0.9668229096899927 29 0.0239155481017495 0.9668229096899927 30 0.0153217015129347 -0.9864557262306425 31 0.0153217015129347 0.9864557262306425 32 0.0066062278475874 -0.9974246942464552 33 0.0066062278475874 0.9974246942464552
-
-
-
-
-
n = 34 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0909567403302599 -0.0455098219531025 2 0.0909567403302599 0.0455098219531025 3 0.0902030443706407 -0.1361523572591830 4 0.0902030443706407 0.1361523572591830 5 0.0887018978356939 -0.2256666916164495 6 0.0887018978356939 0.2256666916164495 7 0.0864657397470358 -0.3133110813394632 8 0.0864657397470358 0.3133110813394632 9 0.0835130996998457 -0.3983592777586459 10 0.0835130996998457 0.3983592777586459 11 0.0798684443397718 -0.4801065451903270 12 0.0798684443397718 0.4801065451903270 13 0.0755619746600319 -0.5578755006697467 14 0.0755619746600319 0.5578755006697467 15 0.0706293758142557 -0.6310217270805285 16 0.0706293758142557 0.6310217270805285 17 0.0651115215540764 -0.6989391132162629 18 0.0651115215540764 0.6989391132162629 19 0.0590541358275245 -0.7610648766298730 20 0.0590541358275245 0.7610648766298730 21 0.0525074145726781 -0.8168842279009336 22 0.0525074145726781 0.8168842279009336 23 0.0455256115233533 -0.8659346383345645 24 0.0455256115233533 0.8659346383345645 25 0.0381665937963875 -0.9078096777183244 26 0.0381665937963875 0.9078096777183244 27 0.0304913806384461 -0.9421623974051071 28 0.0304913806384461 0.9421623974051071 29 0.0225637219854950 -0.9687082625333443 30 0.0225637219854950 0.9687082625333443 31 0.0144501627485950 -0.9872278164063095 32 0.0144501627485950 0.9872278164063095 33 0.0062291405559087 -0.9975717537908420 34 0.0062291405559087 0.9975717537908420
-
-
-
-
-
n = 35 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0884867949071043 0.0000000000000000 2 0.0881405304302755 -0.0883713432756593 3 0.0881405304302755 0.0883713432756593 4 0.0871044469971835 -0.1760510611659896 5 0.0871044469971835 0.1760510611659896 6 0.0853866533920991 -0.2623529412092960 7 0.0853866533920991 0.2623529412092960 8 0.0830005937288566 -0.3466015544308139 9 0.0830005937288566 0.3466015544308139 10 0.0799649422423243 -0.4281375415178142 11 0.0799649422423243 0.4281375415178142 12 0.0763034571554421 -0.5063227732414887 13 0.0763034571554421 0.5063227732414887 14 0.0720447947725601 -0.5805453447497645 15 0.0720447947725601 0.5805453447497645 16 0.0672222852690869 -0.6502243646658904 17 0.0672222852690869 0.6502243646658904 18 0.0618736719660802 -0.7148145015566287 19 0.0618736719660802 0.7148145015566287 20 0.0560408162123701 -0.7738102522869126 21 0.0560408162123701 0.7738102522869126 22 0.0497693704013535 -0.8267498990922254 23 0.0497693704013535 0.8267498990922254 24 0.0431084223261702 -0.8732191250252224 25 0.0431084223261702 0.8732191250252224 26 0.0361101158634634 -0.9128542613593176 27 0.0361101158634634 0.9128542613593176 28 0.0288292601088943 -0.9453451482078273 29 0.0288292601088943 0.9453451482078273 30 0.0213229799114836 -0.9704376160392298 31 0.0213229799114836 0.9704376160392298 32 0.0136508283483615 -0.9879357644438514 33 0.0136508283483615 0.9879357644438514 34 0.0058834334204431 -0.9977065690996003 35 0.0058834334204431 0.9977065690996003
-
-
-
-
-
n = 36 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0859832756703948 -0.0430181984737086 2 0.0859832756703948 0.0430181984737086 3 0.0853466857393386 -0.1287361038093848 4 0.0853466857393386 0.1287361038093848 5 0.0840782189796619 -0.2135008923168656 6 0.0840782189796619 0.2135008923168656 7 0.0821872667043397 -0.2966849953440283 8 0.0821872667043397 0.2966849953440283 9 0.0796878289120716 -0.3776725471196892 10 0.0796878289120716 0.3776725471196892 11 0.0765984106458707 -0.4558639444334203 12 0.0765984106458707 0.4558639444334203 13 0.0729418850056531 -0.5306802859262452 14 0.0729418850056531 0.5306802859262452 15 0.0687453238357364 -0.6015676581359806 16 0.0687453238357364 0.6015676581359806 17 0.0640397973550155 -0.6680012365855210 18 0.0640397973550155 0.6680012365855210 19 0.0588601442453248 -0.7294891715935565 20 0.0588601442453248 0.7294891715935565 21 0.0532447139777599 -0.7855762301322066 22 0.0532447139777599 0.7855762301322066 23 0.0472350834902660 -0.8358471669924753 24 0.0472350834902660 0.8358471669924753 25 0.0408757509236449 -0.8799298008903972 26 0.0408757509236449 0.8799298008903972 27 0.0342138107703072 -0.9174977745156591 28 0.0342138107703072 0.9174977745156591 29 0.0272986214985688 -0.9482729843995076 30 0.0272986214985688 0.9482729843995076 31 0.0201815152977355 -0.9720276910496980 32 0.0201815152977355 0.9720276910496980 33 0.0129159472840656 -0.9885864789022122 34 0.0129159472840656 0.9885864789022122 35 0.0055657196642450 -0.9978304624840858 36 0.0055657196642450 0.9978304624840858
-
-
-
-
-
n = 37 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0837683609931389 0.0000000000000000 2 0.0834745736258628 -0.0836704089547699 3 0.0834745736258628 0.0836704089547699 4 0.0825952722364373 -0.1667539302398520 5 0.0825952722364373 0.1667539302398520 6 0.0811366245084650 -0.2486677927913657 7 0.0811366245084650 0.2486677927913657 8 0.0791088618375294 -0.3288374298837070 9 0.0791088618375294 0.3288374298837070 10 0.0765262075705292 -0.4067005093183261 11 0.0765262075705292 0.4067005093183261 12 0.0734067772484882 -0.4817108778032055 13 0.0734067772484882 0.4817108778032055 14 0.0697724515557003 -0.5533423918615817 15 0.0697724515557003 0.5533423918615817 16 0.0656487228727513 -0.6210926084089244 17 0.0656487228727513 0.6210926084089244 18 0.0610645165232260 -0.6844863091309593 19 0.0610645165232260 0.6844863091309593 20 0.0560519879982749 -0.7430788339819653 21 0.0560519879982749 0.7430788339819653 22 0.0506462976548246 -0.7964592005099023 23 0.0506462976548246 0.7964592005099023 24 0.0448853646624372 -0.8442529873405560 25 0.0448853646624372 0.8442529873405560 26 0.0388096025019345 -0.8861249621554861 27 0.0388096025019345 0.8861249621554861 28 0.0324616398475215 -0.9217814374124638 29 0.0324616398475215 0.9217814374124638 30 0.0258860369905589 -0.9509723432620948 31 0.0258860369905589 0.9509723432620948 32 0.0191290444890840 -0.9734930300564858 33 0.0191290444890840 0.9734930300564858 34 0.0122387801003076 -0.9891859632143192 35 0.0122387801003076 0.9891859632143192 36 0.0052730572794979 -0.9979445824779136 37 0.0052730572794979 0.9979445824779136
-
-
-
-
-
n = 38 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0815250292803858 -0.0407851479045782 2 0.0815250292803858 0.0407851479045782 3 0.0809824937705971 -0.1220840253378674 4 0.0809824937705971 0.1220840253378674 5 0.0799010332435278 -0.2025704538921167 6 0.0799010332435278 0.2025704538921167 7 0.0782878446582110 -0.2817088097901653 8 0.0782878446582110 0.2817088097901653 9 0.0761536635484464 -0.3589724404794350 10 0.0761536635484464 0.3589724404794350 11 0.0735126925847435 -0.4338471694323765 12 0.0735126925847435 0.4338471694323765 13 0.0703825070668990 -0.5058347179279311 14 0.0703825070668990 0.5058347179279311 15 0.0667839379791404 -0.5744560210478071 16 0.0667839379791404 0.5744560210478071 17 0.0627409333921331 -0.6392544158296817 18 0.0627409333921331 0.6392544158296817 19 0.0582803991469972 -0.6997986803791844 20 0.0582803991469972 0.6997986803791844 21 0.0534320199103323 -0.7556859037539707 22 0.0534320199103323 0.7556859037539707 23 0.0482280618607587 -0.8065441676053168 24 0.0482280618607587 0.8065441676053168 25 0.0427031585046744 -0.8520350219323621 26 0.0427031585046744 0.8520350219323621 27 0.0368940815940247 -0.8918557390046322 28 0.0368940815940247 0.8918557390046322 29 0.0308395005451751 -0.9257413320485844 30 0.0308395005451751 0.9257413320485844 31 0.0245797397382324 -0.9534663309335296 32 0.0245797397382324 0.9534663309335296 33 0.0181565777096132 -0.9748463285901535 34 0.0181565777096132 0.9748463285901535 35 0.0116134447164687 -0.9897394542663855 36 0.0116134447164687 0.9897394542663855 37 0.0050028807496393 -0.9980499305356876 38 0.0050028807496393 0.9980499305356876
-
-
-
-
-
n = 39 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0795276221394429 0.0000000000000000 2 0.0792762225683685 -0.0794438046087555 3 0.0792762225683685 0.0794438046087555 4 0.0785236132873712 -0.1583853399978378 5 0.0785236132873712 0.1583853399978378 6 0.0772745525446820 -0.2363255124618358 7 0.0772745525446820 0.2363255124618358 8 0.0755369373228361 -0.3127715592481859 9 0.0755369373228361 0.3127715592481859 10 0.0733217534142686 -0.3872401639715615 11 0.0733217534142686 0.3872401639715615 12 0.0706430059706088 -0.4592605123091361 13 0.0706430059706088 0.4592605123091361 14 0.0675176309662313 -0.5283772686604374 15 0.0675176309662313 0.5283772686604374 16 0.0639653881386824 -0.5941534549572780 17 0.0639653881386824 0.5941534549572780 18 0.0600087360885962 -0.6561732134320110 19 0.0600087360885962 0.6561732134320110 20 0.0556726903409163 -0.7140444358945347 21 0.0556726903409163 0.7140444358945347 22 0.0509846652921294 -0.7674012429310635 23 0.0509846652921294 0.7674012429310635 24 0.0459743011089166 -0.8159062974301431 25 0.0459743011089166 0.8159062974301431 26 0.0406732768479338 -0.8592529379999062 27 0.0406732768479338 0.8592529379999062 28 0.0351151114981313 -0.8971671192929929 29 0.0351151114981313 0.8971671192929929 30 0.0293349559839034 -0.9294091484867383 31 0.0293349559839034 0.9294091484867383 32 0.0233693848321782 -0.9557752123246522 33 0.0233693848321782 0.9557752123246522 34 0.0172562290937249 -0.9760987093334711 35 0.0172562290937249 0.9760987093334711 36 0.0110347889391646 -0.9902515368546860 37 0.0110347889391646 0.9902515368546860 38 0.0047529446916351 -0.9981473830664329 39 0.0047529446916351 0.9981473830664329
-
-
-
-
-
n = 40 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0775059479784248 -0.0387724175060508 2 0.0775059479784248 0.0387724175060508 3 0.0770398181642480 -0.1160840706752552 4 0.0770398181642480 0.1160840706752552 5 0.0761103619006262 -0.1926975807013711 6 0.0761103619006262 0.1926975807013711 7 0.0747231690579683 -0.2681521850072537 8 0.0747231690579683 0.2681521850072537 9 0.0728865823958041 -0.3419940908257585 10 0.0728865823958041 0.3419940908257585 11 0.0706116473912868 -0.4137792043716050 12 0.0706116473912868 0.4137792043716050 13 0.0679120458152339 -0.4830758016861787 14 0.0679120458152339 0.4830758016861787 15 0.0648040134566010 -0.5494671250951282 16 0.0648040134566010 0.5494671250951282 17 0.0613062424929289 -0.6125538896679802 18 0.0613062424929289 0.6125538896679802 19 0.0574397690993916 -0.6719566846141796 20 0.0574397690993916 0.6719566846141796 21 0.0532278469839368 -0.7273182551899271 22 0.0532278469839368 0.7273182551899271 23 0.0486958076350722 -0.7783056514265194 24 0.0486958076350722 0.7783056514265194 25 0.0438709081856733 -0.8246122308333117 26 0.0438709081856733 0.8246122308333117 27 0.0387821679744720 -0.8659595032122595 28 0.0387821679744720 0.8659595032122595 29 0.0334601952825478 -0.9020988069688743 30 0.0334601952825478 0.9020988069688743 31 0.0279370069800234 -0.9328128082786765 32 0.0279370069800234 0.9328128082786765 33 0.0222458491941670 -0.9579168192137917 34 0.0222458491941670 0.9579168192137917 35 0.0164210583819079 -0.9772599499837743 36 0.0164210583819079 0.9772599499837743 37 0.0104982845311528 -0.9907262386994570 38 0.0104982845311528 0.9907262386994570 39 0.0045212770985332 -0.9982377097105593 40 0.0045212770985332 0.9982377097105593
-
-
-
-
-
n = 41 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0756955356472984 0.0000000000000000 2 0.0754787470927158 -0.0756232589891630 3 0.0754787470927158 0.0756232589891630 4 0.0748296231762215 -0.1508133548639922 5 0.0748296231762215 0.1508133548639922 6 0.0737518820272235 -0.2251396056334228 7 0.0737518820272235 0.2251396056334228 8 0.0722516968610231 -0.2981762773418249 9 0.0722516968610231 0.2981762773418249 10 0.0703376606208175 -0.3695050226404815 11 0.0703376606208175 0.3695050226404815 12 0.0680207367608768 -0.4387172770514071 13 0.0680207367608768 0.4387172770514071 14 0.0653141964535274 -0.5054165991994061 15 0.0653141964535274 0.5054165991994061 16 0.0622335425809663 -0.5692209416102159 17 0.0622335425809663 0.5692209416102159 18 0.0587964209498719 -0.6297648390721963 19 0.0587964209498719 0.6297648390721963 20 0.0550225192425787 -0.6867015020349513 21 0.0550225192425787 0.6867015020349513 22 0.0509334542946175 -0.7397048030699261 23 0.0509334542946175 0.7397048030699261 24 0.0465526483690143 -0.7884711450474093 25 0.0465526483690143 0.7884711450474093 26 0.0419051951959097 -0.8327212004013613 27 0.0419051951959097 0.8327212004013613 28 0.0370177167035080 -0.8722015116924414 29 0.0370177167035080 0.8722015116924414 30 0.0319182117316993 -0.9066859447581012 31 0.0319182117316993 0.9066859447581012 32 0.0266358992071104 -0.9359769874978539 33 0.0266358992071104 0.9359769874978539 34 0.0212010633687796 -0.9599068917303463 35 0.0212010633687796 0.9599068917303463 36 0.0156449384078186 -0.9783386735610834 37 0.0156449384078186 0.9783386735610834 38 0.0099999387739059 -0.9911671096990163 39 0.0099999387739059 0.9911671096990163 40 0.0043061403581649 -0.9983215885747715 41 0.0043061403581649 0.9983215885747715
-
-
-
-
-
n = 42 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0738642342321729 -0.0369489431653518 2 0.0738642342321729 0.0369489431653518 3 0.0734608134534675 -0.1106450272085199 4 0.0734608134534675 0.1106450272085199 5 0.0726561752438041 -0.1837368065648546 6 0.0726561752438041 0.1837368065648546 7 0.0714547142651710 -0.2558250793428791 8 0.0714547142651710 0.2558250793428791 9 0.0698629924925942 -0.3265161244654115 10 0.0698629924925942 0.3265161244654115 11 0.0678897033765219 -0.3954238520429750 12 0.0678897033765219 0.3954238520429750 13 0.0655456243649090 -0.4621719120704219 14 0.0655456243649090 0.4621719120704219 15 0.0628435580450026 -0.5263957499311923 16 0.0628435580450026 0.5263957499311923 17 0.0597982622275867 -0.5877445974851093 18 0.0597982622275867 0.5877445974851093 19 0.0564263693580184 -0.6458833888692478 20 0.0564263693580184 0.6458833888692478 21 0.0527462956991741 -0.7004945905561712 22 0.0527462956991741 0.7004945905561712 23 0.0487781407928032 -0.7512799356894805 24 0.0487781407928032 0.7512799356894805 25 0.0445435777719659 -0.7979620532554874 26 0.0445435777719659 0.7979620532554874 27 0.0400657351806923 -0.8402859832618169 28 0.0400657351806923 0.8402859832618169 29 0.0353690710975921 -0.8780205698121727 30 0.0353690710975921 0.8780205698121727 31 0.0304792406996035 -0.9109597249041275 32 0.0304792406996035 0.9109597249041275 33 0.0254229595261130 -0.9389235573549882 34 0.0254229595261130 0.9389235573549882 35 0.0202278695690526 -0.9617593653382045 36 0.0202278695690526 0.9617593653382045 37 0.0149224436973575 -0.9793425080637482 38 0.0149224436973575 0.9793425080637482 39 0.0095362203017485 -0.9915772883408609 40 0.0095362203017485 0.9915772883408609 41 0.0041059986046491 -0.9983996189900625 42 0.0041059986046491 0.9983996189900625
-
-
-
-
-
n = 43 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0722157516937990 0.0000000000000000 2 0.0720275019714220 -0.0721529908745862 3 0.0720275019714220 0.0721529908745862 4 0.0714637342525141 -0.1439298095107133 5 0.0714637342525141 0.1439298095107133 6 0.0705273877650850 -0.2149562448605182 7 0.0705273877650850 0.2149562448605182 8 0.0692233441936567 -0.2848619980329136 9 0.0692233441936567 0.2848619980329136 10 0.0675584022293652 -0.3532826128643038 11 0.0675584022293652 0.3532826128643038 12 0.0655412421263228 -0.4198613760292693 13 0.0655412421263228 0.4198613760292693 14 0.0631823804493961 -0.4842511767857347 15 0.0631823804493961 0.4842511767857347 16 0.0604941152499913 -0.5461163166600848 17 0.0604941152499913 0.5461163166600848 18 0.0574904619569105 -0.6051342596396010 19 0.0574904619569105 0.6051342596396010 20 0.0541870803188818 -0.6609973137514982 21 0.0541870803188818 0.6609973137514982 22 0.0506011927843902 -0.7134142352689571 23 0.0506011927843902 0.7134142352689571 24 0.0467514947543466 -0.7621117471949551 25 0.0467514947543466 0.7621117471949551 26 0.0426580571979821 -0.8068359641369386 27 0.0426580571979821 0.8068359641369386 28 0.0383422221941327 -0.8473537162093151 29 0.0383422221941327 0.8473537162093151 30 0.0338264920868603 -0.8834537652186168 31 0.0338264920868603 0.8834537652186168 32 0.0291344132614985 -0.9149479072061387 33 0.0291344132614985 0.9149479072061387 34 0.0242904566138388 -0.9416719568476378 35 0.0242904566138388 0.9416719568476378 36 0.0193199014236839 -0.9634866130140800 37 0.0193199014236839 0.9634866130140800 38 0.0142487564315765 -0.9802782209802553 39 0.0142487564315765 0.9802782209802553 40 0.0091039966374014 -0.9919595575932442 41 0.0091039966374014 0.9919595575932442 42 0.0039194902538441 -0.9984723322425078 43 0.0039194902538441 0.9984723322425078
-
-
-
-
-
n = 44 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0705491577893541 -0.0352892369641354 2 0.0705491577893541 0.0352892369641354 3 0.0701976854735582 -0.1056919017086533 4 0.0701976854735582 0.1056919017086533 5 0.0694964918615726 -0.1755680147755168 6 0.0694964918615726 0.1755680147755168 7 0.0684490702693667 -0.2445694569282013 8 0.0684490702693667 0.2445694569282013 9 0.0670606389062937 -0.3123524665027858 10 0.0670606389062937 0.3123524665027858 11 0.0653381148791814 -0.3785793520147072 12 0.0653381148791814 0.3785793520147072 13 0.0632900797332039 -0.4429201745254115 14 0.0632900797332039 0.4429201745254115 15 0.0609267367015620 -0.5050543913882023 16 0.0609267367015620 0.5050543913882023 17 0.0582598598775955 -0.5646724531854708 18 0.0582598598775955 0.5646724531854708 19 0.0553027355637281 -0.6214773459035758 20 0.0553027355637281 0.6214773459035758 21 0.0520700960917045 -0.6751860706661224 22 0.0520700960917045 0.6751860706661224 23 0.0485780464483520 -0.7255310536607170 24 0.0485780464483520 0.7255310536607170 25 0.0448439840819700 -0.7722614792487559 26 0.0448439840819700 0.7722614792487559 27 0.0408865123103462 -0.8151445396451350 28 0.0408865123103462 0.8151445396451350 29 0.0367253478138089 -0.8539665950047104 30 0.0367253478138089 0.8539665950047104 31 0.0323812228120698 -0.8885342382860432 32 0.0323812228120698 0.8885342382860432 33 0.0278757828212810 -0.9186752599841758 34 0.0278757828212810 0.9186752599841758 35 0.0232314819020192 -0.9442395091181941 36 0.0232314819020192 0.9442395091181941 37 0.0184714817368147 -0.9650996504224931 38 0.0184714817368147 0.9650996504224931 39 0.0136195867555800 -0.9811518330779140 40 0.0136195867555800 0.9811518330779140 41 0.0087004813675248 -0.9923163921385159 42 0.0087004813675248 0.9923163921385159 43 0.0037454048031128 -0.9985402006367742 44 0.0037454048031128 0.9985402006367742
-
-
-
-
-
n = 45 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0690418248292320 0.0000000000000000 2 0.0688773169776613 -0.0689869801631442 3 0.0688773169776613 0.0689869801631442 4 0.0683845773786697 -0.1376452059832530 5 0.0683845773786697 0.1376452059832530 6 0.0675659541636075 -0.2056474897832637 7 0.0675659541636075 0.2056474897832637 8 0.0664253484498425 -0.2726697697523776 9 0.0664253484498425 0.2726697697523776 10 0.0649681957507234 -0.3383926542506022 11 0.0649681957507234 0.3383926542506022 12 0.0632014400738199 -0.4025029438585419 13 0.0632014400738199 0.4025029438585419
- 14 0.0611335008310665 -0.4646951239196351 15 0.0611335008310665 0.4646951239196351 16 0.0587742327188417 -0.5246728204629161 17 0.0587742327188417 0.5246728204629161 18 0.0561348787597865 -0.5821502125693532 19 0.0561348787597865 0.5821502125693532 20 0.0532280167312690 -0.6368533944532233 21 0.0532280167312690 0.6368533944532233 22 0.0500674992379520 -0.6885216807712006 23 0.0500674992379520 0.6885216807712006 24 0.0466683877183734 -0.7369088489454904 25 0.0466683877183734 0.7369088489454904 26 0.0430468807091650 -0.7817843125939062 27 0.0430468807091650 0.7817843125939062 28 0.0392202367293025 -0.8229342205020863 29 0.0392202367293025 0.8229342205020863 30 0.0352066922016090 -0.8601624759606642 31 0.0352066922016090 0.8601624759606642 32 0.0310253749345155 -0.8932916717532418 33 0.0310253749345155 0.8932916717532418 34 0.0266962139675777 -0.9221639367190004 35 0.0266962139675777 0.9221639367190004 36 0.0222398475505787 -0.9466416909956291 37 0.0222398475505787 0.9466416909956291 38 0.0176775352579376 -0.9666083103968947 39 0.0176775352579376 0.9666083103968947 40 0.0130311049915828 -0.9819687150345405 41 0.0130311049915828 0.9819687150345405 42 0.0083231892962182 -0.9926499984472037 43 0.0083231892962182 0.9926499984472037 44 0.0035826631552836 -0.9986036451819367 45 0.0035826631552836 0.9986036451819367
-
-
-
-
-
n = 46 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0675186858490365 -0.0337721900160520 2 0.0675186858490365 0.0337721900160520 3 0.0672106136006782 -0.1011624753055842 4 0.0672106136006782 0.1011624753055842 5 0.0665958747684549 -0.1680911794671035 6 0.0665958747684549 0.1680911794671035 7 0.0656772742677812 -0.2342529222062698 8 0.0656772742677812 0.2342529222062698 9 0.0644590034671391 -0.2993458227018700 10 0.0644590034671391 0.2993458227018700 11 0.0629466210643945 -0.3630728770209957 12 0.0629466210643945 0.3630728770209957 13 0.0611470277246505 -0.4251433132828284 14 0.0611470277246505 0.4251433132828284 15 0.0590684345955463 -0.4852739183881646 16 0.0590684345955463 0.4852739183881646 17 0.0567203258439912 -0.5431903302618026 18 0.0567203258439912 0.5431903302618026 19 0.0541134153858568 -0.5986282897127152 20 0.0541134153858568 0.5986282897127152 21 0.0512595980071430 -0.6513348462019977 22 0.0512595980071430 0.6513348462019977 23 0.0481718951017122 -0.7010695120204057 24 0.0481718951017122 0.7010695120204057 25 0.0448643952773181 -0.7476053596156661 26 0.0448643952773181 0.7476053596156661 27 0.0413521901096787 -0.7907300570752742 28 0.0413521901096787 0.7907300570752742 29 0.0376513053573861 -0.8302468370660661 30 0.0376513053573861 0.8302468370660661 31 0.0337786279991069 -0.8659753948668580 32 0.0337786279991069 0.8659753948668580 33 0.0297518295522028 -0.8977527115339420 34 0.0297518295522028 0.8977527115339420 35 0.0255892863971300 -0.9254337988067539 36 0.0255892863971300 0.9254337988067539 37 0.0213099987541365 -0.9488923634460898 38 0.0213099987541365 0.9488923634460898 39 0.0169335140078362 -0.9680213918539919 40 0.0169335140078362 0.9680213918539919 41 0.0124798837709887 -0.9827336698041669 42 0.0124798837709887 0.9827336698041669 43 0.0079698982297246 -0.9929623489061744 44 0.0079698982297246 0.9929623489061744 45 0.0034303008681070 -0.9986630421338180 46 0.0034303008681070 0.9986630421338180
-
-
-
-
-
n = 47 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0661351296236555 0.0000000000000000 2 0.0659905335888105 -0.0660869239163557 3 0.0659905335888105 0.0660869239163557 4 0.0655573777665497 -0.1318848665545149 5 0.0655573777665497 0.1318848665545149 6 0.0648375562389457 -0.1971061102791118 7 0.0648375562389457 0.1971061102791118 8 0.0638342166057170 -0.2614654592149745 9 0.0638342166057170 0.2614654592149745 10 0.0625517462209217 -0.3246814863377359 11 0.0625517462209217 0.3246814863377359 12 0.0609957530087396 -0.3864777640846672 13 0.0609957530087396 0.3864777640846672 14 0.0591730409423389 -0.4465840731048557 15 0.0591730409423389 0.4465840731048557 16 0.0570915802932315 -0.5047375838635779 17 0.0570915802932315 0.5047375838635779 18 0.0547604727815302 -0.5606840059346642 19 0.0547604727815302 0.5606840059346642 20 0.0521899117800571 -0.6141786999563736 21 0.0521899117800571 0.6141786999563736 22 0.0493911377473612 -0.6649877473903327 23 0.0493911377473612 0.6649877473903327 24 0.0463763890865059 -0.7128889734090643 25 0.0463763890865059 0.7128889734090643 26 0.0431588486484795 -0.7576729184454386 27 0.0431588486484795 0.7576729184454386 28 0.0397525861225310 -0.7991437541677420 29 0.0397525861225310 0.7991437541677420 30 0.0361724965841749 -0.8371201398999021 31 0.0361724965841749 0.8371201398999021 32 0.0324342355151848 -0.8714360157968963 33 0.0324342355151848 0.8714360157968963 34 0.0285541507006434 -0.9019413294385253 35 0.0285541507006434 0.9019413294385253 36 0.0245492116596588 -0.9285026930123607 37 0.0245492116596588 0.9285026930123607 38 0.0204369381476684 -0.9510039692577085 39 0.0204369381476684 0.9510039692577085 40 0.0162353331464331 -0.9693467873265645 41 0.0162353331464331 0.9693467873265645 42 0.0119628484643123 -0.9834510030716237 43 0.0119628484643123 0.9834510030716237 44 0.0076386162958488 -0.9932552109877686 45 0.0076386162958488 0.9932552109877686 46 0.0032874538425280 -0.9987187285842121 47 0.0032874538425280 0.9987187285842121
-
-
-
-
-
n = 48 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0647376968126839 -0.0323801709628694 2 0.0647376968126839 0.0323801709628694 3 0.0644661644359501 -0.0970046992094627 4 0.0644661644359501 0.0970046992094627 5 0.0639242385846482 -0.1612223560688917 6 0.0639242385846482 0.1612223560688917 7 0.0631141922862540 -0.2247637903946891 8 0.0631141922862540 0.2247637903946891 9 0.0620394231598927 -0.2873624873554556 10 0.0620394231598927 0.2873624873554556 11 0.0607044391658939 -0.3487558862921608 12 0.0607044391658939 0.3487558862921608 13 0.0591148396983956 -0.4086864819907167 14 0.0591148396983956 0.4086864819907167 15 0.0572772921004032 -0.4669029047509584 16 0.0572772921004032 0.4669029047509584 17 0.0551995036999842 -0.5231609747222330 18 0.0551995036999842 0.5231609747222330 19 0.0528901894851937 -0.5772247260839727 20 0.0528901894851937 0.5772247260839727 21 0.0503590355538545 -0.6288673967765136 22 0.0503590355538545 0.6288673967765136 23 0.0476166584924905 -0.6778723796326639 24 0.0476166584924905 0.6778723796326639 25 0.0446745608566943 -0.7240341309238146 26 0.0446745608566943 0.7240341309238146 27 0.0415450829434647 -0.7671590325157404 28 0.0415450829434647 0.7671590325157404 29 0.0382413510658307 -0.8070662040294426 30 0.0382413510658307 0.8070662040294426 31 0.0347772225647704 -0.8435882616243935 32 0.0347772225647704 0.8435882616243935 33 0.0311672278327981 -0.8765720202742479 34 0.0311672278327981 0.8765720202742479 35 0.0274265097083569 -0.9058791367155696 36 0.0274265097083569 0.9058791367155696 37 0.0235707608393244 -0.9313866907065543 38 0.0235707608393244 0.9313866907065543 39 0.0196161604573555 -0.9529877031604309 40 0.0196161604573555 0.9529877031604309 41 0.0155793157229438 -0.9705915925462473 42 0.0155793157229438 0.9705915925462473 43 0.0114772345792345 -0.9841245837228269 44 0.0114772345792345 0.9841245837228269 45 0.0073275539012763 -0.9935301722663508 46 0.0073275539012763 0.9935301722663508 47 0.0031533460523058 -0.9987710072524261 48 0.0031533460523058 0.9987710072524261
-
-
-
-
-
n = 49 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0634632814047906 0.0000000000000000 2 0.0633355092964917 -0.0634206849826868 3 0.0633355092964917 0.0634206849826868 4 0.0629527074651957 -0.1265859972696720 5 0.0629527074651957 0.1265859972696720 6 0.0623164173200573 -0.1892415924618136 7 0.0623164173200573 0.1892415924618136 8 0.0614292009791929 -0.2511351786125773 9 0.0614292009791929 0.2511351786125773 10 0.0602946309531520 -0.3120175321197488 11 0.0602946309531520 0.3120175321197488 12 0.0589172757600273 -0.3716435012622849 13 0.0589172757600273 0.3716435012622849 14 0.0573026815301875 -0.4297729933415765 15 0.0573026815301875 0.4297729933415765 16 0.0554573496748036 -0.4861719414524920 17 0.0554573496748036 0.4861719414524920 18 0.0533887107082590 -0.5406132469917261 19 0.0533887107082590 0.5406132469917261 20 0.0511050943301446 -0.5928776941089007 21 0.0511050943301446 0.5928776941089007 22 0.0486156958878282 -0.6427548324192377 23 0.0486156958878282 0.6427548324192377 24 0.0459305393555959 -0.6900438244251321 25 0.0459305393555959 0.6900438244251321 26 0.0430604369812596 -0.7345542542374027 27 0.0430604369812596 0.7345542542374027 28 0.0400169457663730 -0.7761068943454467 29 0.0400169457663730 0.7761068943454467 30 0.0368123209630007 -0.8145344273598555 31 0.0368123209630007 0.8145344273598555 32 0.0334594667916222 -0.8496821198441658 33 0.0334594667916222 0.8496821198441658 34 0.0299718846205838 -0.8814084455730089 35 0.0299718846205838 0.8814084455730089 36 0.0263636189270660 -0.9095856558280733 37 0.0263636189270660 0.9095856558280733 38 0.0226492015874467 -0.9341002947558101 39 0.0226492015874467 0.9341002947558101 40 0.0188435958530895 -0.9548536586741372 41 0.0188435958530895 0.9548536586741372 42 0.0149621449356247 -0.9717622009015554 43 0.0149621449356247 0.9717622009015554 44 0.0110205510315936 -0.9847578959142130 45 0.0110205510315936 0.9847578959142130 46 0.0070350995900865 -0.9937886619441678 47 0.0070350995900865 0.9937886619441678 48 0.0030272789889229 -0.9988201506066354 49 0.0030272789889229 0.9988201506066354
-
-
-
-
-
n = 50 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0621766166553473 -0.0310983383271889 2 0.0621766166553473 0.0310983383271889 3 0.0619360674206832 -0.0931747015600861 4 0.0619360674206832 0.0931747015600861 5 0.0614558995903167 -0.1548905899981459 6 0.0614558995903167 0.1548905899981459 7 0.0607379708417702 -0.2160072368760418 8 0.0607379708417702 0.2160072368760418 9 0.0597850587042655 -0.2762881937795320 10 0.0597850587042655 0.2762881937795320 11 0.0586008498132224 -0.3355002454194373 12 0.0586008498132224 0.3355002454194373 13 0.0571899256477284 -0.3934143118975651 14 0.0571899256477284 0.3934143118975651 15 0.0555577448062125 -0.4498063349740388 16 0.0555577448062125 0.4498063349740388 17 0.0537106218889962 -0.5044581449074642 18 0.0537106218889962 0.5044581449074642 19 0.0516557030695811 -0.5571583045146501 20 0.0516557030695811 0.5571583045146501 21 0.0494009384494663 -0.6077029271849502 22 0.0494009384494663 0.6077029271849502 23 0.0469550513039484 -0.6558964656854394 24 0.0469550513039484 0.6558964656854394 25 0.0443275043388033 -0.7015524687068222 26 0.0443275043388033 0.7015524687068222 27 0.0415284630901477 -0.7444943022260685 28 0.0415284630901477 0.7444943022260685 29 0.0385687566125877 -0.7845558329003993 30 0.0385687566125877 0.7845558329003993 31 0.0354598356151462 -0.8215820708593360 32 0.0354598356151462 0.8215820708593360 33 0.0322137282235780 -0.8554297694299461 34 0.0322137282235780 0.8554297694299461 35 0.0288429935805352 -0.8859679795236131 36 0.0288429935805352 0.8859679795236131 37 0.0253606735700124 -0.9130785566557919 38 0.0253606735700124 0.9130785566557919 39 0.0217802431701248 -0.9366566189448780 40 0.0217802431701248 0.9366566189448780 41 0.0181155607134894 -0.9566109552428079 42 0.0181155607134894 0.9566109552428079 43 0.0143808227614856 -0.9728643851066920 44 0.0143808227614856 0.9728643851066920 45 0.0105905483836510 -0.9853540840480058 46 0.0105905483836510 0.9853540840480058 47 0.0067597991957454 -0.9940319694320907 48 0.0067597991957454 0.9940319694320907 49 0.0029086225531551 -0.9988664044200710 50 0.0029086225531551 0.9988664044200710
-
-
-
-
-
n = 51 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0609989248412059 0.0000000000000000 2 0.0608854648448563 -0.0609611001505787 3 0.0608854648448563 0.0609611001505787 4 0.0605455069347378 -0.1216954210188888 5 0.0605455069347378 0.1216954210188888 6 0.0599803157775033 -0.1819770269570775 7 0.0599803157775033 0.1819770269570775 8 0.0591919939229615 -0.2415816664477987 9 0.0591919939229615 0.2415816664477987 10 0.0581834739825921 -0.3002876063353319 11 0.0581834739825921 0.3002876063353319 12 0.0569585077202587 -0.3578764566884095 13 0.0569585077202587 0.3578764566884095 14 0.0555216520957387 -0.4141339832263039 15 0.0555216520957387 0.4141339832263039 16 0.0538782523130456 -0.4688509042860410 17 0.0538782523130456 0.4688509042860410 18 0.0520344219366971 -0.5218236693661858 19 0.0520344219366971 0.5218236693661858 20 0.0499970201500574 -0.5728552163513039 21 0.0499970201500574 0.5728552163513039 22 0.0477736262406231 -0.6217557046007233 23 0.0477736262406231 0.6217557046007233 24 0.0453725114076501 -0.6683432211753700 25 0.0453725114076501 0.6683432211753700 26 0.0428026079978801 -0.7124444575770367 27 0.0428026079978801 0.7124444575770367 28 0.0400734762854965 -0.7538953544853755 29 0.0400734762854965 0.7538953544853755 30 0.0371952689232603 -0.7925417120993812 31 0.0371952689232603 0.7925417120993812 32 0.0341786932041883 -0.8282397638230649 33 0.0341786932041883 0.8282397638230649 34 0.0310349712901600 -0.8608567111822923 35 0.0310349712901600 0.8608567111822923 36 0.0277757985941625 -0.8902712180295274 37 0.0277757985941625 0.8902712180295274 38 0.0244133005737814 -0.9163738623097802 39 0.0244133005737814 0.9163738623097802 40 0.0209599884017032 -0.9390675440029623 41 0.0209599884017032 0.9390675440029623 42 0.0174287147234011 -0.9582678486139082 43 0.0174287147234011 0.9582678486139082 44 0.0138326340064778 -0.9739033680193239 45 0.0138326340064778 0.9739033680193239 46 0.0101851912978217 -0.9859159917359029 47 0.0101851912978217 0.9859159917359029 48 0.0065003377832526 -0.9942612604367526 49 0.0065003377832526 0.9942612604367526 50 0.0027968071710899 -0.9989099908489035 51 0.0027968071710899 0.9989099908489035
-
-
-
-
-
n = 52 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0598103657452919 -0.0299141097973388 2 0.0598103657452919 0.0299141097973388 3 0.0595962601712482 -0.0896352446489006 4 0.0595962601712482 0.0896352446489006 5 0.0591688154660430 -0.1490355086069492 6 0.0591688154660430 0.1490355086069492 7 0.0585295617718139 -0.2079022641563661 8 0.0585295617718139 0.2079022641563661 9 0.0576807874525268 -0.2660247836050018 10 0.0576807874525268 0.2660247836050018 11 0.0566255309023686 -0.3231950034348078 12 0.0566255309023686 0.3231950034348078 13 0.0553675696693027 -0.3792082691160937 14 0.0553675696693027 0.3792082691160937 15 0.0539114069327573 -0.4338640677187617 16 0.0539114069327573 0.4338640677187617 17 0.0522622553839070 -0.4869667456980961 18 0.0522622553839070 0.4869667456980961 19 0.0504260185663424 -0.5383262092858274 20 0.0504260185663424 0.5383262092858274 21 0.0484092697440749 -0.5877586049795791 22 0.0484092697440749 0.5877586049795791 23 0.0462192283727848 -0.6350869776952459 24 0.0462192283727848 0.6350869776952459 25 0.0438637342590004 -0.6801419042271677 26 0.0438637342590004 0.6801419042271677 27 0.0413512195005603 -0.7227620997499832 28 0.0413512195005603 0.7227620997499832 29 0.0386906783104240 -0.7627949951937449 30 0.0386906783104240 0.7627949951937449 31 0.0358916348350972 -0.8000972834304684 32 0.0358916348350972 0.8000972834304684 33 0.0329641090897188 -0.8345354323267345 34 0.0329641090897188 0.8345354323267345 35 0.0299185811471439 -0.8659861628460676 36 0.0299185811471439 0.8659861628460676 37 0.0267659537465040 -0.8943368905344953 38 0.0267659537465040 0.8943368905344953 39 0.0235175135539845 -0.9194861289164246 40 0.0235175135539845 0.9194861289164246 41 0.0201848915079808 -0.9413438536413591 42 0.0201848915079808 0.9413438536413591 43 0.0167800233963007 -0.9598318269330866 44 0.0167800233963007 0.9598318269330866 45 0.0133151149823410 -0.9748838842217445 46 0.0133151149823410 0.9748838842217445 47 0.0098026345794628 -0.9864461956515499 48 0.0098026345794628 0.9864461956515499 49 0.0062555239629733 -0.9944775909292161 50 0.0062555239629733 0.9944775909292161 51 0.0026913169500471 -0.9989511111039503 52 0.0026913169500471 0.9989511111039503
-
-
-
-
-
n = 53 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0587187941511644 0.0000000000000000 2 0.0586175862327203 -0.0586850543002595 3 0.0586175862327203 0.0586850543002595 4 0.0583143113622560 -0.1171678090719551 5 0.0583143113622560 0.1171678090719551 6 0.0578100149917132 -0.1752466621553257 7 0.0578100149917132 0.1752466621553257 8 0.0571064355362672 -0.2327214037242726 9 0.0571064355362672 0.2327214037242726 10 0.0562059983817397 -0.2893939064516262 11 0.0562059983817397 0.2893939064516262 12 0.0551118075239336 -0.3450688084957224 13 0.0551118075239336 0.3450688084957224 14 0.0538276348687310 -0.3995541869539530 15 0.0538276348687310 0.3995541869539530 16 0.0523579072298727 -0.4526622194618458 17 0.0523579072298727 0.4526622194618458 18 0.0507076910692927 -0.5042098316571334 19 0.0507076910692927 0.5042098316571334 20 0.0488826750326991 -0.5540193282770679 21 0.0488826750326991 0.5540193282770679 22 0.0468891503407503 -0.6019190057137693 23 0.0468891503407503 0.6019190057137693 24 0.0447339891036728 -0.6477437439165100 25 0.0447339891036728 0.6477437439165100 26 0.0424246206345200 -0.6913355756013667 27 0.0424246206345200 0.6913355756013667 28 0.0399690058435404 -0.7325442308075103 29 0.0399690058435404 0.7325442308075103 30 0.0373756098034829 -0.7712276549255324 31 0.0373756098034829 0.7712276549255324 32 0.0346533725835342 -0.8072524984168955 33 0.0346533725835342 0.8072524984168955 34 0.0318116784590193 -0.8404945765458014 35 0.0318116784590193 0.8404945765458014 36 0.0288603236178237 -0.8708392975582413 37 0.0288603236178237 0.8708392975582413 38 0.0258094825107575 -0.8981820578754266 39 0.0258094825107575 0.8981820578754266 40 0.0226696730570702 -0.9224286030428122 41 0.0226696730570702 0.9224286030428122 42 0.0194517211076369 -0.9434953534644419 43 0.0194517211076369 0.9434953534644419 44 0.0161667252566875 -0.9613096946231363 45 0.0161667252566875 0.9613096946231363 46 0.0128260261442404 -0.9758102337149845 47 0.0128260261442404 0.9758102337149845 48 0.0094412022849403 -0.9869470350233716 49 0.0094412022849403 0.9869470350233716 50 0.0060242762269487 -0.9946819193080071 51 0.0060242762269487 0.9946819193080071 52 0.0025916837205670 -0.9989899477763282 53 0.0025916837205670 0.9989899477763282
-
-
-
-
-
n = 54 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0576175367071470 -0.0288167481993418 2 0.0576175367071470 0.0288167481993418 3 0.0574261370541121 -0.0863545182632482 4 0.0574261370541121 0.0863545182632482 5 0.0570439735587946 -0.1436054273162561 6 0.0570439735587946 0.1436054273162561 7 0.0564723157306260 -0.2003792936062136 8 0.0564723157306260 0.2003792936062136 9 0.0557130625605900 -0.2564875200699973 10 0.0557130625605900 0.2564875200699973 11 0.0547687362130580 -0.3117437208344682 12 0.0547687362130580 0.3117437208344682 13 0.0536424736475536 -0.3659643403721912 14 0.0536424736475536 0.3659643403721912 15 0.0523380161982987 -0.4189692632552045 16 0.0523380161982987 0.4189692632552045 17 0.0508596971461881 -0.4705824124813823 18 0.0508596971461881 0.4705824124813823 19 0.0492124273245289 -0.5206323343859330 20 0.0492124273245289 0.5206323343859330 21 0.0474016788064450 -0.5689527681952095 22 0.0474016788064450 0.5689527681952095 23 0.0454334667282767 -0.6153831983311274 24 0.0454334667282767 0.6153831983311274 25 0.0433143293095970 -0.6597693876319831 26 0.0433143293095970 0.6597693876319831 27 0.0410513061366450 -0.7019638897191729 28 0.0410513061366450 0.7019638897191729 29 0.0386519147821025 -0.7418265388091844 30 0.0386519147821025 0.7418265388091844 31 0.0361241258403836 -0.7792249153462540 32 0.0361241258403836 0.7792249153462540 33 0.0334763364643726 -0.8140347859135678 34 0.0334763364643726 0.8140347859135678 35 0.0307173424978707 -0.8461405159707730 36 0.0307173424978707 0.8461405159707730 37 0.0278563093105959 -0.8754354540655689 38 0.0278563093105959 0.8754354540655689 39 0.0249027414672088 -0.9018222862847016 40 0.0249027414672088 0.9018222862847016 41 0.0218664514228531 -0.9252133598666515 42 0.0218664514228531 0.9252133598666515 43 0.0187575276214694 -0.9455309751649958 44 0.0187575276214694 0.9455309751649958 45 0.0155863030359241 -0.9627076457859236 46 0.0155863030359241 0.9627076457859236 47 0.0123633281288476 -0.9766863288579032 48 0.0123633281288476 0.9766863288579032 49 0.0090993694555094 -0.9874206373973435 50 0.0090993694555094 0.9874206373973435 51 0.0058056110152400 -0.9948751170183389 52 0.0058056110152400 0.9948751170183389 53 0.0024974818357616 -0.9990266668673410 54 0.0024974818357616 0.9990266668673410
-
-
-
-
-
n = 55 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0566029764445604 0.0000000000000000 2 0.0565123182497720 -0.0565727538183368 3 0.0565123182497720 0.0565727538183368 4 0.0562406340710844 -0.1129642880593293 5 0.0562406340710844 0.1129642880593293 6 0.0557887941952841 -0.1689939636468732 7 0.0557887941952841 0.1689939636468732 8 0.0551582460025087 -0.2244823006478455 9 0.0551582460025087 0.2244823006478455 10 0.0543510093299111 -0.2792515532008065 11 0.0543510093299111 0.2792515532008065 12 0.0533696700016055 -0.3331262788900239 13 0.0533696700016055 0.3331262788900239 14 0.0522173715456321 -0.3859339007409794 15 0.0522173715456321 0.3859339007409794 16 0.0508978051244940 -0.4375052600371746 17 0.0508978051244940 0.4375052600371746 18 0.0494151977115517 -0.4876751581874741 19 0.0494151977115517 0.4876751581874741 20 0.0477742985512007 -0.5362828859083433 21 0.0477742985512007 0.5362828859083433 22 0.0459803639462838 -0.5831727380260321 23 0.0459803639462838 0.5831727380260321 24 0.0440391404216066 -0.6281945122499282 25 0.0440391404216066 0.6281945122499282 26 0.0419568463177188 -0.6712039903198264 27 0.0419568463177188 0.6712039903198264 28 0.0397401518743372 -0.7120633999866378 29 0.0397401518743372 0.7120633999866378 30 0.0373961578679655 -0.7506418563480219 31 0.0373961578679655 0.7506418563480219 32 0.0349323728735899 -0.7868157811276224 33 0.0349323728735899 0.7868157811276224 34 0.0323566892261858 -0.8204692985593209 35 0.0323566892261858 0.8204692985593209 36 0.0296773577651610 -0.8514946066171545 37 0.0296773577651610 0.8514946066171545 38 0.0269029614563963 -0.8797923224198955 39 0.0269029614563963 0.8797923224198955 40 0.0240423880097256 -0.9052718007440000 41 0.0240423880097256 0.9052718007440000 42 0.0211048016680165 -0.9278514247207917 43 0.0211048016680165 0.9278514247207917 44 0.0180996145207291 -0.9474588680412107 45 0.0180996145207291 0.9474588680412107 46 0.0150364583335118 -0.9640313285931352 47 0.0150364583335118 0.9640313285931352 48 0.0119251607198486 -0.9775157355039892 49 0.0119251607198486 0.9775157355039892 50 0.0087757461070585 -0.9878689411988892 51 0.0087757461070585 0.9878689411988892 52 0.0055986322665608 -0.9950579778474119 53 0.0055986322665608 0.9950579778474119 54 0.0024083236199798 -0.9990614195648185 55 0.0024083236199798 0.9990614195648185
-
-
-
-
-
n = 56 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0555797463065144 -0.0277970352872754 2 0.0555797463065144 0.0277970352872754 3 0.0554079525032451 -0.0833051868224354 4 0.0554079525032451 0.0833051868224354 5 0.0550648959017624 -0.1385558468103762 6 0.0550648959017624 0.1385558468103762 7 0.0545516368708894 -0.1933782386352753 8 0.0545516368708894 0.1933782386352753 9 0.0538697618657145 -0.2476029094343372 10 0.0538697618657145 0.2476029094343372 11 0.0530213785240108 -0.3010622538672207 12 0.0530213785240108 0.3010622538672207 13 0.0520091091517414 -0.3535910321749545 14 0.0520091091517414 0.3535910321749545 15 0.0508360826177985 -0.4050268809270913 16 0.0508360826177985 0.4050268809270913 17 0.0495059246830476 -0.4552108148784596 18 0.0495059246830476 0.4552108148784596 19 0.0480227467936003 -0.5039877183843817 20 0.0480227467936003 0.5039877183843817 21 0.0463911333730019 -0.5512068248555346 22 0.0463911333730019 0.5512068248555346 23 0.0446161276526923 -0.5967221827706634 24 0.0446161276526923 0.5967221827706634 25 0.0427032160846671 -0.6403931068070069 26 0.0427032160846671 0.6403931068070069 27 0.0406583113847445 -0.6820846126944704 28 0.0406583113847445 0.6820846126944704 29 0.0384877342592477 -0.7216678344501881 30 0.0384877342592477 0.7216678344501881 31 0.0361981938723152 -0.7590204227051289 32 0.0361981938723152 0.7590204227051289 33 0.0337967671156118 -0.7940269228938664 34 0.0337967671156118 0.7940269228938664 35 0.0312908767473104 -0.8265791321428817 36 0.0312908767473104 0.8265791321428817 37 0.0286882684738227 -0.8565764337627486 38 0.0286882684738227 0.8565764337627486 39 0.0259969870583920 -0.8839261083278276 40 0.0259969870583920 0.8839261083278276 41 0.0232253515625653 -0.9085436204206555 42 0.0232253515625653 0.9085436204206555 43 0.0203819298824026 -0.9303528802474963 44 0.0203819298824026 0.9303528802474963 45 0.0174755129114009 -0.9492864795619627 46 0.0174755129114009 0.9492864795619627 47 0.0145150892780215 -0.9652859019054901 48 0.0145150892780215 0.9652859019054901 49 0.0115098243403834 -0.9783017091402564 50 0.0115098243403834 0.9783017091402564 51 0.0084690631633079 -0.9882937155401615 52 0.0084690631633079 0.9882937155401615 53 0.0054025222460153 -0.9952312260810697 54 0.0054025222460153 0.9952312260810697 55 0.0023238553757732 -0.9990943438014656 56 0.0023238553757732 0.9990943438014656
-
-
-
-
-
n = 57 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0546343287565840 0.0000000000000000 2 0.0545528036047619 -0.0546071510016468 3 0.0545528036047619 0.0546071510016468 4 0.0543084714524986 -0.1090513328087878 5 0.0543084714524986 0.1090513328087878 6 0.0539020614832986 -0.1631700625912643 7 0.0539020614832986 0.1631700625912643 8 0.0533347865848192 -0.2168018287961240 9 0.0533347865848192 0.2168018287961240 10 0.0526083397291774 -0.2697865731618387 11 0.0526083397291774 0.2697865731618387 12 0.0517248889205178 -0.3219661683953786 13 0.0517248889205178 0.3219661683953786 14 0.0506870707249274 -0.3731848900865944 15 0.0506870707249274 0.3731848900865944 16 0.0494979824020197 -0.4232898814515639 17 0.0494979824020197 0.4232898814515639 18 0.0481611726616877 -0.4721316095179757 19 0.0481611726616877 0.4721316095179757 20 0.0466806310736415 -0.5195643113911876 21 0.0466806310736415 0.5195643113911876 22 0.0450607761613812 -0.5654464292692367 23 0.0450607761613812 0.5654464292692367 24 0.0433064422162152 -0.6096410329087154 25 0.0433064422162152 0.6096410329087154 26 0.0414228648708011 -0.6520162282809769 27 0.0414228648708011 0.6520162282809769 28 0.0394156654754801 -0.6924455511995178 29 0.0394156654754801 0.6924455511995178 30 0.0372908343244173 -0.7308083447445233 31 0.0372908343244173 0.7308083447445233 32 0.0350547127823126 -0.7669901193594502 33 0.0350547127823126 0.7669901193594502 34 0.0327139743663716 -0.8008828945472183 35 0.0327139743663716 0.8008828945472183 36 0.0302756048426940 -0.8323855211504391 37 0.0302756048426940 0.8323855211504391 38 0.0277468814021802 -0.8614039832620469 39 0.0277468814021802 0.8614039832620469 40 0.0251353509909181 -0.8878516788822214 41 0.0251353509909181 0.8878516788822214 42 0.0224488078907764 -0.9116496785213912 43 0.0224488078907764 0.9116496785213912 44 0.0196952706994885 -0.9327269610671017 45 0.0196952706994885 0.9327269610671017 46 0.0168829590234416 -0.9510206264478768 47 0.0168829590234416 0.9510206264478768 48 0.0140202707907536 -0.9664760851718867 49 0.0140202707907536 0.9664760851718867 50 0.0111157637323360 -0.9790472267094688 51 0.0111157637323360 0.9790472267094688 52 0.0081781600678212 -0.9886965776502220 53 0.0081781600678212 0.9886965776502220 54 0.0052165334747188 -0.9953955236784303 55 0.0052165334747188 0.9953955236784303 56 0.0022437538722507 -0.9991255656252629 57 0.0022437538722507 0.9991255656252629
-
-
-
-
-
n = 58 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0536811198633348 -0.0268470123659424 2 0.0536811198633348 0.0268470123659424 3 0.0535263433040583 -0.0804636302141427 4 0.0535263433040583 0.0804636302141427 5 0.0532172364465790 -0.1338482505954668 6 0.0532172364465790 0.1338482505954668 7 0.0527546905263708 -0.1868469518357613 8 0.0527546905263708 0.1868469518357613 9 0.0521400391836698 -0.2393069249661535 10 0.0521400391836698 0.2393069249661535 11 0.0513750546182857 -0.2910769143111092 12 0.0513750546182857 0.2910769143111092 13 0.0504619424799531 -0.3420076535979953 14 0.0504619424799531 0.3420076535979953 15 0.0494033355089624 -0.3919522963307531 16 0.0494033355089624 0.3919522963307531 17 0.0482022859454177 -0.4407668391868396 18 0.0482022859454177 0.4407668391868396 19 0.0468622567290263 -0.4883105372167185 20 0.0468622567290263 0.4883105372167185 21 0.0453871115148198 -0.5344463096488475 22 0.0453871115148198 0.5344463096488475 23 0.0437811035336403 -0.5790411351302250 24 0.0437811035336403 0.5790411351302250 25 0.0420488633295821 -0.6219664352630792 26 0.0420488633295821 0.6219664352630792 27 0.0401953854098678 -0.6630984453321253 28 0.0401953854098678 0.6630984453321253 29 0.0382260138458584 -0.7023185711539082 30 0.0382260138458584 0.7023185711539082 31 0.0361464268670873 -0.7395137310200423 32 0.0361464268670873 0.7395137310200423 33 0.0339626204934160 -0.7745766817496528 34 0.0339626204934160 0.7745766817496528 35 0.0316808912538093 -0.8074063279130882 36 0.0316808912538093 0.8074063279130882 37 0.0293078180441605 -0.8379080133393734 38 0.0293078180441605 0.8379080133393734 39 0.0268502431819819 -0.8659937940748075 40 0.0268502431819819 0.8659937940748075 41 0.0243152527249640 -0.8915826920220302 42 0.0243152527249640 0.8915826920220302 43 0.0217101561401462 -0.9146009285643525 44 0.0217101561401462 0.9146009285643525 45 0.0190424654618934 -0.9349821375882593 46 0.0190424654618934 0.9349821375882593 47 0.0163198742349710 -0.9526675575188691 48 0.0163198742349710 0.9526675575188691 49 0.0135502371129888 -0.9676062025029241 50 0.0135502371129888 0.9676062025029241 51 0.0107415535328788 -0.9797550146943503 52 0.0107415535328788 0.9797550146943503 53 0.0079019738499987 -0.9890790082484426 54 0.0079019738499987 0.9890790082484426 55 0.0050399816126502 -0.9955514765972909 56 0.0050399816126502 0.9955514765972909 57 0.0021677232496275 -0.9991552004073866 58 0.0021677232496275 0.9991552004073866
-
-
-
-
-
n = 59 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0527980126219904 0.0000000000000000 2 0.0527244338591279 -0.0527734840883100 3 0.0527244338591279 0.0527734840883100 4 0.0525039026478287 -0.1053998790163442 5 0.0525039026478287 0.1053998790163442 6 0.0521370336483754 -0.1577325055878580 7 0.0521370336483754 0.1577325055878580 8 0.0516248493908915 -0.2096255033920365 9 0.0516248493908915 0.2096255033920365 10 0.0509687774253939 -0.2609342373428117 11 0.0509687774253939 0.2609342373428117 12 0.0501706463429969 -0.3115157008030137 13 0.0501706463429969 0.3115157008030137 14 0.0492326806793620 -0.3612289141697948 15 0.0492326806793620 0.3612289141697948 16 0.0481574947146064 -0.4099353178104190 17 0.0481574947146064 0.4099353178104190 18 0.0469480851869620 -0.4574991582532667 19 0.0469480851869620 0.4574991582532667 20 0.0456078229405098 -0.5037878665577180 21 0.0456078229405098 0.5037878665577180 22 0.0441404435302974 -0.5486724278083964 23 0.0441404435302974 0.5486724278083964 24 0.0425500368110676 -0.5920277407040302 25 0.0425500368110676 0.5920277407040302 26 0.0408410355386867 -0.6337329662388501 27 0.0408410355386867 0.6337329662388501 28 0.0390182030161600 -0.6736718645049372 29 0.0390182030161600 0.6736718645049372 30 0.0370866198188709 -0.7117331186771977 31 0.0370866198188709 0.7117331186771977 32 0.0350516696364001 -0.7478106452786403 33 0.0350516696364001 0.7478106452786403 34 0.0329190242710453 -0.7818038898623609 35 0.0329190242710453 0.7818038898623609 36 0.0306946278361117 -0.8136181072882116 37 0.0306946278361117 0.8136181072882116 38 0.0283846802005348 -0.8431646258168722 39 0.0283846802005348 0.8431646258168722 40 0.0259956197312985 -0.8703610942928822 41 0.0259956197312985 0.8703610942928822 42 0.0235341053937134 -0.8951317117434721 43 0.0235341053937134 0.8951317117434721 44 0.0210069982884372 -0.9174074387881552 45 0.0210069982884372 0.9174074387881552 46 0.0184213427536100 -0.9371261903534539 47 0.0184213427536100 0.9371261903534539 48 0.0157843473130815 -0.9542330093769511 49 0.0157843473130815 0.9542330093769511 50 0.0131033663063452 -0.9686802216817816 51 0.0131033663063452 0.9686802216817816 52 0.0103858855009959 -0.9804275739567156 53 0.0103858855009959 0.9804275739567156 54 0.0076395294534876 -0.9894423651337310 55 0.0076395294534876 0.9894423651337310 56 0.0048722391682653 -0.9956996403832460 57 0.0048722391682653 0.9956996403832460 58 0.0020954922845412 -0.9991833539092947 59 0.0020954922845412 0.9991833539092947
-
-
-
-
-
n = 60 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0519078776312206 -0.0259597723012478 2 0.0519078776312206 0.0259597723012478 3 0.0517679431749102 -0.0778093339495366 4 0.0517679431749102 0.0778093339495366 5 0.0514884515009809 -0.1294491353969450 6 0.0514884515009809 0.1294491353969450 7 0.0510701560698556 -0.1807399648734254 8 0.0510701560698556 0.1807399648734254 9 0.0505141845325094 -0.2315435513760293 10 0.0505141845325094 0.2315435513760293 11 0.0498220356905502 -0.2817229374232617 12 0.0498220356905502 0.2817229374232617 13 0.0489955754557568 -0.3311428482684482 14 0.0489955754557568 0.3311428482684482 15 0.0480370318199712 -0.3796700565767980 16 0.0480370318199712 0.3796700565767980 17 0.0469489888489122 -0.4271737415830784 18 0.0469489888489122 0.4271737415830784 19 0.0457343797161145 -0.4735258417617071 20 0.0457343797161145 0.4735258417617071 21 0.0443964787957871 -0.5186014000585697 22 0.0443964787957871 0.5186014000585697 23 0.0429388928359356 -0.5622789007539445 24 0.0429388928359356 0.5622789007539445 25 0.0413655512355848 -0.6044405970485104 26 0.0413655512355848 0.6044405970485104 27 0.0396806954523808 -0.6449728284894770 28 0.0396806954523808 0.6449728284894770 29 0.0378888675692434 -0.6837663273813555 30 0.0378888675692434 0.6837663273813555 31 0.0359948980510845 -0.7207165133557304 32 0.0359948980510845 0.7207165133557304 33 0.0340038927249464 -0.7557237753065856 34 0.0340038927249464 0.7557237753065856 35 0.0319212190192963 -0.7886937399322641 36 0.0319212190192963 0.7886937399322641 37 0.0297524915007889 -0.8195375261621458 38 0.0297524915007889 0.8195375261621458 39 0.0275035567499248 -0.8481719847859296 40 0.0275035567499248 0.8481719847859296 41 0.0251804776215212 -0.8745199226468983 42 0.0251804776215212 0.8745199226468983 43 0.0227895169439978 -0.8985103108100460 44 0.0227895169439978 0.8985103108100460 45 0.0203371207294573 -0.9200784761776275 46 0.0203371207294573 0.9200784761776275 47 0.0178299010142077 -0.9391662761164232 48 0.0178299010142077 0.9391662761164232 49 0.0152746185967848 -0.9557222558399961 50 0.0152746185967848 0.9557222558399961 51 0.0126781664768160 -0.9697017887650528 52 0.0126781664768160 0.9697017887650528 53 0.0100475571822880 -0.9810672017525982 54 0.0100475571822880 0.9810672017525982 55 0.0073899311633455 -0.9897878952222218 56 0.0073899311633455 0.9897878952222218 57 0.0047127299269536 -0.9958405251188381 58 0.0047127299269536 0.9958405251188381 59 0.0020268119688738 -0.9992101232274361 60 0.0020268119688738 0.9992101232274361
-
-
-
-
-
n = 61 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0510811194407862 0.0000000000000000 2 0.0510144870386973 -0.0510589067079743 3 0.0510144870386973 0.0510589067079743 4 0.0508147636688183 -0.1019846065622741 5 0.0508147636688183 0.1019846065622741 6 0.0504824703867974 -0.1526442402308153 7 0.0504824703867974 0.1526442402308153 8 0.0500184741081783 -0.2029056425180585 9 0.0500184741081783 0.2029056425180585 10 0.0494239853467356 -0.2526376871690535 11 0.0494239853467356 0.2526376871690535 12 0.0487005550564115 -0.3017106289630307 13 0.0487005550564115 0.3017106289630307 14 0.0478500705850956 -0.3499964422040668 15 0.0478500705850956 0.3499964422040668 16 0.0468747507508091 -0.3973691547257566 17 0.0468747507508091 0.3973691547257566 18 0.0457771400531460 -0.4437051765385316 19 0.0457771400531460 0.4437051765385316 20 0.0445601020350835 -0.4888836222622521 21 0.0445601020350835 0.4888836222622521 22 0.0432268118124961 -0.5327866265029253 23 0.0432268118124961 0.5327866265029253 24 0.0417807477908885 -0.5752996513508306 25 0.0417807477908885 0.5752996513508306 26 0.0402256825909982 -0.6163117851979217 27 0.0402256825909982 0.6163117851979217 28 0.0385656732070082 -0.6557160320950709 29 0.0385656732070082 0.6557160320950709 30 0.0368050504231548 -0.6934095908944912 31 0.0368050504231548 0.6934095908944912 32 0.0349484075165334 -0.7292941234494651 33 0.0349484075165334 0.7292941234494651 34 0.0330005882759074 -0.7632760111723123 35 0.0330005882759074 0.7632760111723123 36 0.0309666743683974 -0.7952665992823597 37 0.0309666743683974 0.7952665992823597 38 0.0288519720881834 -0.8251824281086599 39 0.0288519720881834 0.8251824281086599 40 0.0266619985241509 -0.8529454508476635 41 0.0266619985241509 0.8529454508476635 42 0.0244024671875442 -0.8784832372148811 tr>
- 43 0.0244024671875442 0.8784832372148811 44 0.0220792731483190 -0.9017291624740011 45 0.0220792731483190 0.9017291624740011 46 0.0196984777461012 -0.9226225813829553 47 0.0196984777461012 0.9226225813829553 48 0.0172662929876137 -0.9411089866813611 49 0.0172662929876137 0.9411089866813611 50 0.0147890658849379 -0.9571401519129841 51 0.0147890658849379 0.9571401519129841 52 0.0122732635078121 -0.9706742588331829 53 0.0122732635078121 0.9706742588331829 54 0.0097254618303561 -0.9816760112840370 55 0.0097254618303561 0.9816760112840370 56 0.0071523549917491 -0.9901167452325170 57 0.0071523549917491 0.9901167452325170 58 0.0045609240060124 -0.9959745998151203 59 0.0045609240060124 0.9959745998151203 60 0.0019614533616703 -0.9992355976313635 61 0.0019614533616703 0.9992355976313635
-
-
-
-
-
n = 62 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0502480003752563 -0.0251292914218206 2 0.0502480003752563 0.0251292914218206 3 0.0501210695690433 -0.0753243954962343 4 0.0501210695690433 0.0753243954962343 5 0.0498675285949524 -0.1253292236158968 6 0.0498675285949524 0.1253292236158968 7 0.0494880179196993 -0.1750174592490156 8 0.0494880179196993 0.1750174592490156 9 0.0489834962205178 -0.2242635856041655 10 0.0489834962205178 0.2242635856041655 11 0.0483552379634777 -0.2729432026967263 12 0.0483552379634777 0.2729432026967263 13 0.0476048301841012 -0.3209333415941940 14 0.0476048301841012 0.3209333415941940 15 0.0467341684784155 -0.3681127750465645 16 0.0467341684784155 0.3681127750465645 17 0.0457454522145702 -0.4143623237171261 18 0.0457454522145702 0.4143623237171261 19 0.0446411789771244 -0.4595651572401134 20 0.0446411789771244 0.4595651572401134 21 0.0434241382580474 -0.5036070893447560 22 0.0434241382580474 0.5036070893447560 23 0.0420974044103851 -0.5463768663002511 24 0.0420974044103851 0.5463768663002511 25 0.0406643288824174 -0.5877664479530873 26 0.0406643288824174 0.5877664479530873 27 0.0391285317519631 -0.6276712806468852 28 0.0391285317519631 0.6276712806468852 29 0.0374938925822800 -0.6659905613354794 30 0.0374938925822800 0.6659905613354794 31 0.0357645406227681 -0.7026274922222970 32 0.0357645406227681 0.7026274922222970 33 0.0339448443794105 -0.7374895252831567 34 0.0339448443794105 0.7374895252831567 35 0.0320394005816247 -0.7704885960554193 36 0.0320394005816247 0.7704885960554193 37 0.0300530225739899 -0.8015413461039764 38 0.0300530225739899 0.8015413461039764 39 0.0279907281633146 -0.8305693336040049 40 0.0279907281633146 0.8305693336040049 41 0.0258577269540247 -0.8574992315120710 42 0.0258577269540247 0.8574992315120710 43 0.0236594072086828 -0.8822630128318973 44 0.0236594072086828 0.8822630128318973 45 0.0214013222776700 -0.9047981225210935 46 0.0214013222776700 0.9047981225210935 47 0.0190891766585732 -0.9250476356362037 48 0.0190891766585732 0.9250476356362037 49 0.0167288117901773 -0.9429604013923285 50 0.0167288117901773 0.9429604013923285 51 0.0143261918238065 -0.9584911729739271 52 0.0143261918238065 0.9584911729739271 53 0.0118873901170105 -0.9716007233716518 54 0.0118873901170105 0.9716007233716518 55 0.0094185794284204 -0.9822559490972367 56 0.0094185794284204 0.9822559490972367 57 0.0069260419018310 -0.9904299711892903 58 0.0069260419018310 0.9904299711892903 59 0.0044163334569309 -0.9961022963162671 60 0.0044163334569309 0.9961022963162671 61 0.0018992056795137 -0.9992598593087770 62 0.0018992056795137 0.9992598593087770
-
-
-
-
-
n = 63 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0494723666239310 0.0000000000000000 2 0.0494118330399182 -0.0494521871161596 3 0.0494118330399182 0.0494521871161596 4 0.0492303804237476 -0.0987833564469453 5 0.0492303804237476 0.0987833564469453 6 0.0489284528205120 -0.1478727863578720 7 0.0489284528205120 0.1478727863578720 8 0.0485067890978838 -0.1966003467915067 9 0.0485067890978838 0.1966003467915067 10 0.0479664211379951 -0.2448467932459534 11 0.0479664211379951 0.2448467932459534 12 0.0473086713122689 -0.2924940585862514 13 0.0473086713122689 0.2924940585862514 14 0.0465351492453837 -0.3394255419745844 15 0.0465351492453837 0.3394255419745844 16 0.0456477478762926 -0.3855263942122479 17 0.0456477478762926 0.3855263942122479 18 0.0446486388259414 -0.4306837987951116 19 0.0446486388259414 0.4306837987951116 20 0.0435402670830276 -0.4747872479948044 21 0.0435402670830276 0.4747872479948044 22 0.0423253450208158 -0.5177288132900333 23 0.0423253450208158 0.5177288132900333 24 0.0410068457596664 -0.5594034094862850 25 0.0410068457596664 0.5594034094862850 26 0.0395879958915441 -0.5997090518776252 27 0.0395879958915441 0.5997090518776252 28 0.0380722675843496 -0.6385471058213654 29 0.0380722675843496 0.6385471058213654 30 0.0364633700854573 -0.6758225281149861 31 0.0364633700854573 0.6758225281149861 32 0.0347652406453559 -0.7114440995848458 33 0.0347652406453559 0.7114440995848458 34 0.0329820348837793 -0.7453246483178474 35 0.0329820348837793 0.7453246483178474 36 0.0311181166222198 -0.7773812629903724 37 0.0311181166222198 0.7773812629903724 38 0.0291780472082805 -0.8075354957734567 39 0.0291780472082805 0.8075354957734567 40 0.0271665743590979 -0.8357135543195029 41 0.0271665743590979 0.8357135543195029 42 0.0250886205533450 -0.8618464823641238 43 0.0250886205533450 0.8618464823641238 44 0.0229492710048899 -0.8858703285078534 45 0.0229492710048899 0.8858703285078534 46 0.0207537612580391 -0.9077263027785316 47 0.0207537612580391 0.9077263027785316 48 0.0185074644601613 -0.9273609206218432 49 0.0185074644601613 0.9273609206218432 50 0.0162158784103383 -0.9447261340410098 51 0.0162158784103383 0.9447261340410098 52 0.0138846126161156 -0.9597794497589419 53 0.0138846126161156 0.9597794497589419 54 0.0115193760768800 -0.9724840346975701 55 0.0115193760768800 0.9724840346975701 56 0.0091259686763267 -0.9828088105937273 57 0.0091259686763267 0.9828088105937273 58 0.0067102917659601 -0.9907285468921895 59 0.0067102917659601 0.9907285468921895 60 0.0042785083468638 -0.9962240127779701 61 0.0042785083468638 0.9962240127779701 62 0.0018398745955771 -0.9992829840291237 63 0.0018398745955771 0.9992829840291237
-
-
-
-
-
n = 64 jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
13 ,
14 ,
15 ,
16 ,
17 ,
18 ,
19 ,
20 ,
21 ,
22 ,
23 ,
24 ,
25 ,
26 ,
27 ,
28 ,
29 ,
30 ,
31 ,
32 ,
33 ,
34 ,
35 ,
36 ,
37 ,
38 ,
39 ,
40 ,
41 ,
42 ,
43 ,
44 ,
45 ,
46 ,
47 ,
48 ,
49 ,
50 ,
51 ,
52 ,
53 ,
54 ,
55 ,
56 ,
57 ,
58 ,
59 ,
60 ,
61 ,
62 ,
63 ,
64
-
-
- i weight - wi abscissa - x i
- 1 0.0486909570091397 -0.0243502926634244 2 0.0486909570091397 0.0243502926634244 3 0.0485754674415034 -0.0729931217877990 4 0.0485754674415034 0.0729931217877990 5 0.0483447622348030 -0.1214628192961206 6 0.0483447622348030 0.1214628192961206 7 0.0479993885964583 -0.1696444204239928 8 0.0479993885964583 0.1696444204239928 9 0.0475401657148303 -0.2174236437400071 10 0.0475401657148303 0.2174236437400071 11 0.0469681828162100 -0.2646871622087674 12 0.0469681828162100 0.2646871622087674 13 0.0462847965813144 -0.3113228719902110 14 0.0462847965813144 0.3113228719902110 15 0.0454916279274181 -0.3572201583376681 16 0.0454916279274181 0.3572201583376681 17 0.0445905581637566 -0.4022701579639916 18 0.0445905581637566 0.4022701579639916 19 0.0435837245293235 -0.4463660172534641 20 0.0435837245293235 0.4463660172534641 21 0.0424735151236536 -0.4894031457070530 22 0.0424735151236536 0.4894031457070530 23 0.0412625632426235 -0.5312794640198946 24 0.0412625632426235 0.5312794640198946 25 0.0399537411327203 -0.5718956462026340 26 0.0399537411327203 0.5718956462026340 27 0.0385501531786156 -0.6111553551723933 28 0.0385501531786156 0.6111553551723933 29 0.0370551285402400 -0.6489654712546573 30 0.0370551285402400 0.6489654712546573 31 0.0354722132568824 -0.6852363130542333 32 0.0354722132568824 0.6852363130542333 33 0.0338051618371416 -0.7198818501716109 34 0.0338051618371416 0.7198818501716109 35 0.0320579283548516 -0.7528199072605319 36 0.0320579283548516 0.7528199072605319 37 0.0302346570724025 -0.7839723589433414 38 0.0302346570724025 0.7839723589433414 39 0.0283396726142595 -0.8132653151227975 40 0.0283396726142595 0.8132653151227975 41 0.0263774697150547 -0.8406292962525803 42 0.0263774697150547 0.8406292962525803 43 0.0243527025687109 -0.8659993981540928 44 0.0243527025687109 0.8659993981540928 45 0.0222701738083833 -0.8893154459951141 46 0.0222701738083833 0.8893154459951141 47 0.0201348231535302 -0.9105221370785028 48 0.0201348231535302 0.9105221370785028 49 0.0179517157756973 -0.9295691721319396 50 0.0179517157756973 0.9295691721319396 51 0.0157260304760247 -0.9464113748584028 52 0.0157260304760247 0.9464113748584028 53 0.0134630478967186 -0.9610087996520538 54 0.0134630478967186 0.9610087996520538 55 0.0111681394601311 -0.9733268277899110 56 0.0111681394601311 0.9733268277899110 57 0.0088467598263639 -0.9833362538846260 58 0.0088467598263639 0.9833362538846260 59 0.0065044579689784 -0.9910133714767443 60 0.0065044579689784 0.9910133714767443 61 0.0041470332605625 -0.9963401167719553 62 0.0041470332605625 0.9963401167719553 63 0.0017832807216964 -0.9993050417357722 64 0.0017832807216964 0.9993050417357722
-
-
+ If you need higher precision than is presented on this web page you can either download the abscissae and weights files below, or you can run
+ this program in Mathematica yourself, with higher precision and/or higher h values.
+
+
+
+ abscissae (607KB, easily converted to not-PHP)weights (615KB, easily converted to not-PHP)
+
+ Weights and Abscissae Tables for n=2 to n=64
+
+
+
+
+
+
+ n = 2
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 1.0000000000000000
+ -0.5773502691896257
+
+
+ 2
+ 1.0000000000000000
+ 0.5773502691896257
+
+
+
+
+
+
+
+
+ n = 3
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.8888888888888888
+ 0.0000000000000000
+
+
+ 2
+ 0.5555555555555556
+ -0.7745966692414834
+
+
+ 3
+ 0.5555555555555556
+ 0.7745966692414834
+
+
+
+
+
+
+
+
+ n = 4
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.6521451548625461
+ -0.3399810435848563
+
+
+ 2
+ 0.6521451548625461
+ 0.3399810435848563
+
+
+ 3
+ 0.3478548451374538
+ -0.8611363115940526
+
+
+ 4
+ 0.3478548451374538
+ 0.8611363115940526
+
+
+
+
+
+
+
+
+ n = 5
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.5688888888888889
+ 0.0000000000000000
+
+
+ 2
+ 0.4786286704993665
+ -0.5384693101056831
+
+
+ 3
+ 0.4786286704993665
+ 0.5384693101056831
+
+
+ 4
+ 0.2369268850561891
+ -0.9061798459386640
+
+
+ 5
+ 0.2369268850561891
+ 0.9061798459386640
+
+
+
+
+
+
+
+
+ n = 6
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.3607615730481386
+ 0.6612093864662645
+
+
+ 2
+ 0.3607615730481386
+ -0.6612093864662645
+
+
+ 3
+ 0.4679139345726910
+ -0.2386191860831969
+
+
+ 4
+ 0.4679139345726910
+ 0.2386191860831969
+
+
+ 5
+ 0.1713244923791704
+ -0.9324695142031521
+
+
+ 6
+ 0.1713244923791704
+ 0.9324695142031521
+
+
+
+
+
+
+
+
+ n = 7
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.4179591836734694
+ 0.0000000000000000
+
+
+ 2
+ 0.3818300505051189
+ 0.4058451513773972
+
+
+ 3
+ 0.3818300505051189
+ -0.4058451513773972
+
+
+ 4
+ 0.2797053914892766
+ -0.7415311855993945
+
+
+ 5
+ 0.2797053914892766
+ 0.7415311855993945
+
+
+ 6
+ 0.1294849661688697
+ -0.9491079123427585
+
+
+ 7
+ 0.1294849661688697
+ 0.9491079123427585
+
+
+
+
+
+
+
+
+ n = 8
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.3626837833783620
+ -0.1834346424956498
+
+
+ 2
+ 0.3626837833783620
+ 0.1834346424956498
+
+
+ 3
+ 0.3137066458778873
+ -0.5255324099163290
+
+
+ 4
+ 0.3137066458778873
+ 0.5255324099163290
+
+
+ 5
+ 0.2223810344533745
+ -0.7966664774136267
+
+
+ 6
+ 0.2223810344533745
+ 0.7966664774136267
+
+
+ 7
+ 0.1012285362903763
+ -0.9602898564975363
+
+
+ 8
+ 0.1012285362903763
+ 0.9602898564975363
+
+
+
+
+
+
+
+
+ n = 9
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.3302393550012598
+ 0.0000000000000000
+
+
+ 2
+ 0.1806481606948574
+ -0.8360311073266358
+
+
+ 3
+ 0.1806481606948574
+ 0.8360311073266358
+
+
+ 4
+ 0.0812743883615744
+ -0.9681602395076261
+
+
+ 5
+ 0.0812743883615744
+ 0.9681602395076261
+
+
+ 6
+ 0.3123470770400029
+ -0.3242534234038089
+
+
+ 7
+ 0.3123470770400029
+ 0.3242534234038089
+
+
+ 8
+ 0.2606106964029354
+ -0.6133714327005904
+
+
+ 9
+ 0.2606106964029354
+ 0.6133714327005904
+
+
+
+
+
+
+
+
+ n = 10
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
+
+
+
+
+ 1
+ 0.2955242247147529
+ -0.1488743389816312
+
+
+ 2
+ 0.2955242247147529
+ 0.1488743389816312
+
+
+ 3
+ 0.2692667193099963
+ -0.4333953941292472
+
+
+ 4
+ 0.2692667193099963
+ 0.4333953941292472
+
+
+ 5
+ 0.2190863625159820
+ -0.6794095682990244
+
+
+ 6
+ 0.2190863625159820
+ 0.6794095682990244
+
+
+ 7
+ 0.1494513491505806
+ -0.8650633666889845
+
+
+ 8
+ 0.1494513491505806
+ 0.8650633666889845
+
+
+ 9
+ 0.0666713443086881
+ -0.9739065285171717
+
+
+ 10
+ 0.0666713443086881
+ 0.9739065285171717
+
+
+
+
+
+
+
+
+ n = 11
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+ 11
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+
+
+
+
+
+
+
+ n = 12
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
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+ 1
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+ 12
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+
+
+
+
+
+
+
+ n = 13
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
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+ 1
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+ 13
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+
+
+
+
+
+
+
+ n = 14
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+ 14
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+
+
+
+
+
+
+
+ n = 15
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
+
+ 1
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+ 15
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+
+
+
+
+
+
+
+ n = 16
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
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+
+
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+ 1
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+ 4
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+
+ 16
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+
+
+
+
+
+
+
+ n = 17
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
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+
+
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+ 1
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+ 17
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+
+
+
+
+
+
+
+ n = 18
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
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+
+
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+ 1
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+ 18
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+
+
+
+
+
+
+
+ n = 19
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+ 19
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+
+
+
+
+
+
+
+ n = 20
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+ i weight - wi
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+
+
+
+
+
+
+ n = 21
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
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+ 1
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+
+
+
+
+
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+ n = 22
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+ 22
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+
+
+
+
+
+
+
+ n = 23
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+ 23
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+
+
+
+
+
+
+
+ n = 24
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+
+
+
+
+
+
+ n = 25
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
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+
+
+
+
+
+
+ i weight - wi
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+ 1
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+
+
+
+
+
+
+ n = 26
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
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+
+
+
+
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+ i weight - wi
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+
+
+
+
+
+
+
+ n = 27
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+
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+ i weight - wi
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+
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+
+
+
+
+
+ n = 28
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+
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+ i weight - wi
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+
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+ n = 29
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+ i weight - wi
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+
+
+
+
+
+ n = 30
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+ i weight - wi
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+
+
+
+
+
+ n = 31
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+
+
+
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+ i weight - wi
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+
+
+
+
+
+ n = 32
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+ i weight - wi
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+
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+ n = 33
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+ i weight - wi
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+ n = 34
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
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25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+
+
+
+
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+
+ i weight - wi
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+ n = 35
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
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25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+
+
+
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+
+
+ i weight - wi
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+
+
+
+
+
+
+
+ n = 36
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+ i weight - wi
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+ n = 37
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+
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+ i weight - wi
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+ n = 38
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
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25 ,
26 ,
27 ,
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28 ,
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30 ,
31 ,
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33 ,
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35 ,
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38 ,
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42 ,
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43 ,
44 ,
45 ,
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48 ,
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51 ,
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53 ,
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56 ,
57 ,
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58 ,
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61 ,
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63 ,
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+ i weight - wi
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+
+
+
+
+
+
+
+ n = 39
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
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+
+
+
+
+
+
+ i weight - wi
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+
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+
+
+
+ n = 40
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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+
+
+
+
+
+
+ i weight - wi
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+
+
+
+
+
+
+
+ n = 41
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
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+
+
+
+
+
+
+ i weight - wi
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+
+
+
+ n = 42
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
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+
+
+
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+ i weight - wi
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+
+ n = 43
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
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+
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+
+ i weight - wi
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2 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
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13 ,
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4 ,
5 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
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13 ,
14 ,
15 ,
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7 ,
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11 ,
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13 ,
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2 ,
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4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
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18 ,
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23 ,
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28 ,
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30 ,
31 ,
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33 ,
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35 ,
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38 ,
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43 ,
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48 ,
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52 ,
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53 ,
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55 ,
56 ,
57 ,
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58 ,
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60 ,
61 ,
62 ,
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63 ,
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
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57 ,
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58 ,
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60 ,
61 ,
62 ,
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63 ,
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
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18 ,
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20 ,
21 ,
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28 ,
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33 ,
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35 ,
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38 ,
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43 ,
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53 ,
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56 ,
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58 ,
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63 ,
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
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7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
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13 ,
14 ,
15 ,
16 ,
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18 ,
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28 ,
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48 ,
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53 ,
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56 ,
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58 ,
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60 ,
61 ,
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63 ,
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+ 55
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+
+
+
+
+
+
+
+ n = 56
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
+
+ 1
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+ 56
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+
+
+
+
+
+
+
+ n = 57
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
+
+ 1
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+ 2
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+
+
+
+
+
+
+
+ n = 58
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+ 48
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+ 55
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+
+ 58
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+
+
+
+
+
+
+
+
+ n = 59
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
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+
+
+
+ 1
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+
+ 2
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+
+ 59
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+
+
+
+
+
+
+
+ n = 60
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
+ abscissa - x i
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+
+
+
+ 1
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+ 2
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+
+ 60
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+
+
+
+
+
+
+
+ n = 61
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
+
+ 1
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+
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+ 61
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+
+
+
+
+
+
+
+ n = 62
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
+
+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+
+
+
+
+
+
+
+ n = 63
+
+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
+
18 ,
19 ,
20 ,
21 ,
22 ,
+
23 ,
24 ,
25 ,
26 ,
27 ,
+
28 ,
29 ,
30 ,
31 ,
32 ,
+
33 ,
34 ,
35 ,
36 ,
37 ,
+
38 ,
39 ,
40 ,
41 ,
42 ,
+
43 ,
44 ,
45 ,
46 ,
47 ,
+
48 ,
49 ,
50 ,
51 ,
52 ,
+
53 ,
54 ,
55 ,
56 ,
57 ,
+
58 ,
59 ,
60 ,
61 ,
62 ,
+
63 ,
64
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+
+
+
+
+
+
+ i weight - wi
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+
+
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+ 1
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+
+
+
+ n = 64
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+ jump to n =
2 ,
3 ,
4 ,
5 ,
6 ,
+
7 ,
8 ,
9 ,
10 ,
11 ,
12 ,
+
13 ,
14 ,
15 ,
16 ,
17 ,
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18 ,
19 ,
20 ,
21 ,
22 ,
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23 ,
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25 ,
26 ,
27 ,
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28 ,
29 ,
30 ,
31 ,
32 ,
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33 ,
34 ,
35 ,
36 ,
37 ,
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38 ,
39 ,
40 ,
41 ,
42 ,
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43 ,
44 ,
45 ,
46 ,
47 ,
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48 ,
49 ,
50 ,
51 ,
52 ,
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53 ,
54 ,
55 ,
56 ,
57 ,
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58 ,
59 ,
60 ,
61 ,
62 ,
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63 ,
64
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- 
