mirror of
https://github.com/opelly27/Y-Cruncher.git
synced 2026-05-20 01:47:34 +00:00
opelly27
306 lines
12 KiB
INI
306 lines
12 KiB
INI
// y-cruncher Custom Formula File
|
|
//
|
|
// This can be loaded directly from the Custom Compute menu or
|
|
// entered from the command line as "custom:filename.cfg".
|
|
// y-cruncher custom custom:"filename.cfg"
|
|
//
|
|
//
|
|
// Author: Alexander J. Yee
|
|
// Date: February 19, 2019
|
|
//
|
|
// Value = 1.03692775514336992633136548645703416805708091950191...
|
|
//
|
|
// Formula: Broadhurst (1998) rearranged as Huvent (2006)
|
|
// http://functions.wolfram.com/ZetaFunctionsandPolylogarithms/Zeta/06/05/0002/
|
|
//
|
|
// Huvent's 2006 formula is mathematically the same as Broadhurst's 1998 formula.
|
|
//
|
|
// ***Therefore, Broadhurst's and Huvent's formulas cannot be used as a compute/verify pair.***
|
|
//
|
|
// The use of the optimized 74-term rearrangement by Alex Yee (2018) to pair with either
|
|
// Broadhurst (1998) or Huvent (2006) is also questionable. But the reformulation is
|
|
// significant enough that it can be considered *computationally* independent, though
|
|
// still *mathematically* the same.
|
|
//
|
|
|
|
{
|
|
NameShort : "Zeta(5)"
|
|
NameLong : "Zeta(5)"
|
|
AlgorithmShort : "Broadhurst (Huvent 2006)"
|
|
AlgorithmLong : "Broadhurst (1998), Huvent (2006)"
|
|
Formula : {
|
|
LinearCombination : [
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "true"
|
|
PowerCoef : -10
|
|
PowerShift : 12
|
|
PolynomialP : [369]
|
|
PolynomialQ : [-1 20 -160 640 -1280 1024]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "true"
|
|
PowerCoef : -10
|
|
PowerShift : 0
|
|
PolynomialP : [369]
|
|
PolynomialQ : [0 0 0 0 0 1]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "true"
|
|
PowerCoef : -10
|
|
PowerShift : 17
|
|
PolynomialP : [369]
|
|
PolynomialQ : [-243 1620 -4320 5760 -3840 1024]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 18
|
|
PolynomialP : [7263]
|
|
PolynomialQ : [-161051 878460 -1916640 2090880 -1140480 248832]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 1691577
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 20
|
|
PolynomialP : [32635]
|
|
PolynomialQ : [-16807 96040 -219520 250880 -143360 32768]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 13
|
|
PolynomialP : [13977]
|
|
PolynomialQ : [-3125 18750 -45000 54000 -32400 7776]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 20
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-2476099 15638520 -39507840 49904640 -31518720 7962624]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 563859
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 18
|
|
PolynomialP : [1051]
|
|
PolynomialQ : [-243 1620 -4320 5760 -3840 1024]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 19
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-1419857 10022520 -28298880 39951360 -28200960 7962624]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 7
|
|
PolynomialP : [83871]
|
|
PolynomialQ : [-32 240 -720 1080 -810 243]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 1691577
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 17
|
|
PolynomialP : [32635]
|
|
PolynomialQ : [-3125 25000 -80000 128000 -102400 32768]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 14
|
|
PolynomialP : [7263]
|
|
PolynomialQ : [-16807 144060 -493920 846720 -725760 248832]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 17
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-371293 3427320 -12654720 23362560 -21565440 7962624]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 54567
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 6
|
|
PolynomialP : [3187]
|
|
PolynomialQ : [-1 10 -40 80 -80 32]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 16
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-161051 1756920 -7666560 16727040 -18247680 7962624]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 12
|
|
PolynomialP : [7263]
|
|
PolynomialQ : [-3125 37500 -180000 432000 -518400 248832]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 1691577
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 14
|
|
PolynomialP : [32635]
|
|
PolynomialQ : [-243 3240 -17280 46080 -61440 32768]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 3
|
|
PolynomialP : [83871]
|
|
PolynomialQ : [-1 15 -90 270 -405 243]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 14
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-16807 288120 -1975680 6773760 -11612160 7962624]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 563859
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 12
|
|
PolynomialP : [1051]
|
|
PolynomialQ : [-1 20 -160 640 -1280 1024]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 13
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-3125 75000 -720000 3456000 -8294400 7962624]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 5
|
|
PolynomialP : [13977]
|
|
PolynomialQ : [-1 30 -360 2160 -6480 7776]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 1691577
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 11
|
|
PolynomialP : [32635]
|
|
PolynomialQ : [-1 40 -640 5120 -20480 32768]
|
|
}}]
|
|
[-1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 62651
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 8
|
|
PolynomialP : [7263]
|
|
PolynomialQ : [-1 60 -1440 17280 -103680 248832]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 11
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-1 120 -5760 138240 -1658880 7962624]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 1691577
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : -5
|
|
PolynomialP : [128125]
|
|
PolynomialQ : [0 0 0 0 0 1]
|
|
}}]
|
|
[1 {SeriesBinaryBBP : {
|
|
CoefficientP : 1
|
|
CoefficientQ : 0
|
|
CoefficientD : 2021
|
|
Alternating : "false"
|
|
PowerCoef : -12
|
|
PowerShift : 22
|
|
PolynomialP : [9]
|
|
PolynomialQ : [-6436343 33580920 -70081920 73128960 -38154240 7962624]
|
|
}}]
|
|
]
|
|
}
|
|
}
|