This site is run by Steven Murdoch and hosted by the Information Security Group at University College London. '0000000098760000000000000000800000000000000000000012345678'), https://emvlab.org/ the one stop site for payment system researchers and practitioners 20092019. below and above their leading number(pivot). Except explicit open source licence (indicated Creative Commons / free), the "Hill Cipher" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Hill Cipher" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) Split the text into $ n $-grams. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Numbers co-prime to 26 are: 1,3,5,7,9,11,15,17,19,21,23,25. Sorry, the Encode / Decoder is designed for desktop use only. To decode the message, we take the string of coded numbers and multiply it by the inverse of the matrix to get the original string of. Born and raised in Israel, I've caught the programming virus at the age of 15. The guide which gives the information on how to calculate and decode every Matrix of Destiny, Description of 22 Arkanas that are the basis of the method. Example: $$ \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} \cdot \begin{bmatrix} 3 \\ 2 \end{bmatrix} \equiv \begin{bmatrix} 12 \\ 3 \end{bmatrix} \mod 26 $$. To do this, you would have to multiply B1 on B; that is, you would have to multiply on the right: AB = C ABB1 = CB1 AI = CB1 A = CB1 The side on which you multiply will depend upon the exercise. Matrix decoding is an audio technique that decodes an audio signal with M channels into an audio signal with N channels (N > M) for play back on a system with N speakers. WebDecryption involves matrix computations such as matrix inversion, and arithmetic calculations such as modular inverse. Do I have anything spiritual inside? There are other ways to compute the determinant of a matrix that can be more efficient, but require an understanding of other mathematical concepts and notations. Syndrome Decoding for the Cyclic Codes When a code word X is transmitted over a noisy channel, errors are likely to get introduced into it. You won't find such a system anywhere else. Use Ctrl+Left/Right to switch messages, Ctrl+Up/Down to switch threads, Ctrl+Shift+Left/Right to switch pages. Hill Cipher on dCode.fr [online website], retrieved on 2023-03-01, https://www.dcode.fr/hill-cipher, hill,cipher,affine,modulo,matrix,lester,inverse,determinant. The Mint class works just like the regular int object (32 bits); only it has 337 bits!!!. Invest time in studying the Matrix of Destiny and make money. You have the option either to transform a k x n generator matrix G into standard form G . When we multiply this matrix with encoding matrix we get encoded 22 matrix. Necessary cookies are absolutely essential for the website to function properly. Click a number to change its value. All matrices transactions can work with row or column vectors. Numerology calculation of the date of birth compatibility will help you find a soul mate, a perfect couple and avoid any difficulties in relationships. Note that an identity matrix can have any square dimensions. This can also be used to decode messages, any codes not recognised are displayed in the "unrecognised" section, Note - The space and comma characters are not coded, the space is not changed, and Commas are used to separate the characters (this is necessary, for numbers in particular), If all codes are numeric, the total of the values will be displayed (for information only, can be used as a checksum). An m n matrix, transposed, would therefore become an n m matrix, as shown in the examples below: The determinant of a matrix is a value that can be computed from the elements of a square matrix. Chunk the data into n such words. Matrix Calculator Operations on Matrices Go to: Matrix Addition Matrix Subtraction Matrix Product Matrix Division Matrix Power Operations on Sub-Matrices Go to: Cofactor Matrix Minors of a Matrix Other operators See also: Transition Matrix Matrix Direct Sum Kronecker Product Matrix Transformation Basic Transformations Encode Decode. Key. 4 4 and larger get increasingly more complicated, and there are other methods for computing them. The full documentation is included. ; Because, here traversal is done diagonally, and here the next diagonal character will be after column number plus one. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. The colors here can help determine first, whether two matrices can be multiplied, and second, the dimensions of the resulting matrix. Matrix Calculator A matrix, in a mathematical context, is a rectangular array of numbers, symbols, or expressions that are arranged in rows and columns. Easy to use with high-speed search engines. Message received. Instructions & Information Checksum Encoder. Another way would be to say A = 1, B = 2, C = 3, and so on. madonna x value in Gematria is 466 Meaning of madonna x In online Gematria Calculator Decoder Cipher with same phrases values search and words. The numerological calculation of Matrix of Destiny as a flash light shows the way to the lost soul, helps to find your purpose in life and find out your destiny. The inverse of a matrix A is denoted as A-1, where A-1 is the inverse of A if the following is true: AA-1 = A-1A = I, where I is the identity matrix. Display Cipher Chart: d;c. Find Matches in User Tables: Shift + Enter in search field. 2 We illustrate the data forwarding using the transmission from node u to node v as example. This may be difficult if you are just here because you find secret codes awesome, but have no secrets. A new matrix is obtained the following way: each [i, j] element of the new matrix gets the value of the [j, i] element of the original one. We have also created a step-by-step guide for you to make the matrix yourself. Vetalabs, Individual Entrepreneur Smirnova Svetlana Alexandrovna. If the matrices are the same size, matrix addition is performed by adding the corresponding elements in the matrices. The elements of the lower-dimension matrix is determined by blocking out the row and column that the chosen scalar are a part of, and having the remaining elements comprise the lower dimension matrix. This is the third and improved version of the RationalComplexMatrix Calculator. Encoding process : Take a String convert to corresponding number shown below. Numerology calculation of the date of birth compatibility will also help you to understand the partner and you improve your relationships. an idea ? Rearranging the columns of the parity check matrix of a linear code gives the parity check matrix of an equivalent code. The human factor is excluded. Below are descriptions of the matrix operations that this calculator can perform. Transformed text . Example: The alphabet ABCDEFGHIJKLMNOPQRSTUVWXYZ leads to A=0,B=1,,Z=25. Hill cipher encryption uses an alphabet and a square matrix $ M $ of size $ n $ made up of integers numbers and called encryption matrix. For example, given a matrix A and a scalar c: Multiplying two (or more) matrices is more involved than multiplying by a scalar. From cipher values $ C $, retrieve cipher letters of the same rank in the alphabet. Calculate Matrix online. Given a linear code of length and dimension over the field , a parity check matrix of is a matrix whose rows generate the orthogonal complement of , i.e., an element of is a codeword of iff . The decoder matrix is the inverse matrix of the encoder matrix. There is no limit to earnings, it all depends on your efforts. Dimension also changes to the opposite. Write it here: Starting in the upper left corner and moving down the column and then to the next column, take the numbers from the secret message and write them along the top row of the grid. You will get something that really works to help people find answers to their questions. Social and family systems. (e.g. You cannot add a 2 3 and a 3 2 matrix, a 4 4 and a 3 3, etc. Coaches and personal brand specialists to prepare the most successful offer for the client, in accordance with his profile. Note that in order to add or subtract matrices, the matrices must have the same dimensions. Never put more than one leg at atime on the wall. Matrix Calculator on dCode.fr [online website], retrieved on 2023-03-01, https://www.dcode.fr/matrix-calculator, matrix,calculation,vector,calculator,matrices,tensor, What is a matrix calculation? My code demonstrates a small part of it, like solving sets of many equations, finding connections between vectors, multiplying, adding matrixes, and more. It is possible (but not recommended) to use ZABCDEFGHIJKLMNOPQRSTUVWXY in order to get A=1,B=2,Y=25,Z=0. To use the decoder, simply enter the number you want to decode. decode in Hebrew Gematria equals 71: d 4 e 5 c 3 o 50 d 4 e 5. decode in English Gematria equals 216: d 24 e 30 c 18 o 90 d 24 e 30. decode in Simple Gematria equals 36: d 4 e 5 c 3 o 15 d 4 e 5. a feedback ? Encoding and Decoding Using Matrices Mr. Dan Muscarella, NBCT 4.02K subscribers 699 108K views 9 years ago Had a sore throat! Being a Destination Consultant is a sought-after and lucrative profession. Our life is like a ship, lost in the high sea, without knowledge about talents and skills to given us after we were born. A sparse matrix is a matrix that has a value of 0 for most elements. This method is also called in some other ways: Matrix of Destiny, 22 Arkanas Method, Destiny Checking. dCode retains ownership of the "Hill Cipher" source code. Now, we'll do r2*(-1): Next, we will do r1 /2 or r1*(1/2) now r1= {0, 1, 5/4}: Take a look at the first row and solve col(third). The message to be encoded is CELEBRATE MY BDAY . Except explicit open source licence (indicated Creative Commons / free), the "Matrix Calculator" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Matrix Calculator" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) when 1 and 2 are coordinates*/, Sets unique name for the matrix or deletes one, return pointer to the matrix name and if it has We do know that everyone is a unique person. The redundancy introduced is 7 - 4 = 3 bits. But opting out of some of these cookies may have an effect on your browsing experience. What are the variants of the Hill cipher. Fancy yourself as the new James Bond? The average cost of one consultation is from 1500 to 7000 . If you don't want to check all possibilities, you can use row operations to convert four columns of the matrix (of your own choosing) to the identity matrix, which will enable for very quick decoding. Given: As with exponents in other mathematical contexts, A3, would equal A A A, A4 would equal A A A A, and so on. Tool to decrypt/encrypt with Hill cipher, a ciphering system similar to affine cipher but using a coefficient matrix instead of 2 affine coefficients (gradient). Example: Using the example matrix, compute the inverse matrix (modulo 26) : $$ \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix}^{-1} \equiv \begin{bmatrix} -7 & 3 \\ 5 & -2 \end{bmatrix} \equiv \begin{bmatrix} 19 & 3 \\ 5 & 24 \end{bmatrix} \mod 26 $$. In general, of course, socio-economic development unequivocally fixes the need for both self-sufficient and externally dependent conceptual solutions. The copy-paste of the page "Hill Cipher" or any of its results, is allowed as long as you cite dCode! Multiplying by the inverse \begin{pmatrix}3 & 5 & 7 \\2 & 4 & 6\end{pmatrix}-\begin{pmatrix}1 & 1 & 1 \\1 & 1 & 1\end{pmatrix}, \begin{pmatrix}11 & 3 \\7 & 11\end{pmatrix}\begin{pmatrix}8 & 0 & 1 \\0 & 3 & 5\end{pmatrix}, \tr \begin{pmatrix}a & 1 \\0 & 2a\end{pmatrix}, \det \begin{pmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9\end{pmatrix}, \begin{pmatrix}1 & 2 \\3 & 4\end{pmatrix}^T, \begin{pmatrix}1 & 2 & 3 \\4 & 5 & 6 \\7 & 2 & 9\end{pmatrix}^{-1}, rank\:\begin{pmatrix}1 & 2 \\3 & 4\end{pmatrix}, gauss\:jordan\:\begin{pmatrix}1 & 2 \\3 & 4\end{pmatrix}, eigenvalues\:\begin{pmatrix}6&-1\\2&3\end{pmatrix}, eigenvectors\:\begin{pmatrix}6&-1\\2&3\end{pmatrix}, diagonalize\:\begin{pmatrix}6&-1\\2&3\end{pmatrix}. Cite as source (bibliography): decoder in Hebrew Gematria equals 151: d 4 e 5 c 3 o 50 d 4 e 5 r 80. decoder in English Gematria equals 324: d 24 e 30 c 18 o 90 d 24 e 30 r 108. decoder in Simple Gematria equals 54: d 4 e 5 c 3 o 15 . We guarantee the accuracy of the calculations as they are automated. Video. We have also created a step-by-step guide for you to make the matrix yourself. Replace each element in the N by K encoder matrix over the 2-field with the corresponding n by n matrix over the 2-field. 22 Arcanum in the "plus": The main thing in this person is the spontaneity of feelings, complete freedom and the absence of all sorts of limits and 21 Arcanum in the "plus": This person loves peace and harmony around, tends to reconcile the warring parties and shows the wonders of diplomacy. Given: One way to calculate the determinant of a 3 3 matrix is through the use of the Laplace formula. Mix of male and female. Below them, write the letter It is an automatic numerology calculation of the Matrix of Destiny Method and detailed decoding for each date. Your desire is everything you need. Hill cipher has been created in 1929 by Lester S. Hill. Please, check our dCode Discord community for help requests!NB: for encrypted messages, test our automatic cipher identifier! Example: $$ \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} + \begin{bmatrix} 4 & 3 \\ 2 & 1 \end{bmatrix} = \begin{bmatrix} 5 & 5 \\ 5 & 5 \end{bmatrix} $$. Take the time to get this right. Converting it back to a string, we obtain our original message : "scrumptious pineapple". Did You Know Many Movies and TV Shows are Filled with . Write to dCode! Ctrl + Enter in search field. "rows" is the number of complex The original message was simply the information symbols in c (the first three positions), or 101. Our team has created a unique service. Refer to the example below for clarification. To decrypt hill ciphertext, compute the matrix inverse modulo 26 (where 26 is the alphabet length), requiring the matrix to be invertible. This website uses cookies to improve your experience while you navigate through the website. dCode retains ownership of the "Matrix Calculator" source code. This person 20 Arcanum in the plus. This is because a non-square matrix, A, cannot be multiplied by itself. The copy-paste of the page "Matrix Calculator" or any of its results, is allowed as long as you cite dCode! This is an opportunity to make your life more successful and live better, doing what you love and helping other people. HR professionals to better analyze job candidates. Example: Enter 1, 2, 3 3, 1, 4 ,, 5 And press "to A" SAVING A generator matrix for this code is Using , the information vector of 4 bits u = (0101) is transformed into a code vector x = (0101010) of 7 bits. Thank you! Result and public acceptance. For example, the number 1 multiplied by any number n equals n. The same is true of an identity matrix multiplied by a matrix of the same size: A I = A. There is solution for this in scipy but this function give non integer nullspace. You can start working immediately after you complete the training. In a rail fence cipher, the plaintext letters are written diagonally in a up-down pattern from left to right. Optionally it can generate application Calculate compatibility. Question 53634This question is from textbook elementary linear algebra: the follow cryptogram was encoded with a 2 X 2 matrix 5,2,25,11,-2,-7,-15,32,14,-8,-13,38,19,-19,-19,37,16 the last word of the message is -Sue what is the message? The real nice part was to implement the ranking algorithm, and the most time consuming was the debugging and optimizing part. This calculator enables you to code messages by substituting values against letters, numbers and punctuation. Wedding specialists (leaders, organizers, photographers, etc.) Our smart Fate Matrix calculator, deciphering all sections and Fate Matrix compatibility will help you in your new successful lesson. (Definition). following the algorithm described in EMV 4.1, Book 2, Part Exponents for matrices function in the same way as they normally do in math, except that matrix multiplication rules also apply, so only square matrices (matrices with an equal number of rows and columns) can be raised to a power. Save data? That might seems useless in our case but try to solve a set of 5 equations with 4 variables without ranking the matrix (it can take a while). (e.g. Our team has created a unique service. You might be interested to know that I've built a class that implements the simplex optimization method, and it should be here soon. row index, if finds copy of the row, We tried to convey to you the method as simple as possible, and our smart numerological calculation will also help you to learn it. (e.g. The default values are A=1, B=2, C=3 etc. In addition, I have put in an expanded version of the RationalComplexMatrix. they are added or subtracted). This results in switching the row and column indices of a matrix, meaning that aij in matrix A, becomes aji in AT. and the part below it*/, returns 1 if matrix is singular, 0 if not EMV is a registered trademark of EMVCo LLC. Hill's Cipher. This matrix calculator uses the techniques described in A First Course in Coding Theory by Raymond Hill [] to transform a generator matrix or parity-check matrix of a linear [n,k]-code into standard form.It works over GF(q) for q = 2,3,4*,5,7,11. Hill Cipher - Decoder, Encoder, Solver - Online Calculator. Try entering Knowledge, Handwork and Attitude, interesting results when viewed as a percentage of effort. return 1 if the row in the index he got is all, Returns 1 if the matrix have at least One such input is . Discover your way with the numerology method of the Matrix of Destiny. Since they began to populate the surface of the world, plants have struggled greatly due to the gene that decodes the atmospheric need for water. Firstly, I appreciate for your work on "Matrix calculator". All you have to do is allow us to share our knowledge with you and use it for your best future. Decoding ''The Matrix'' Decoding ''The Matrix'' We help you find out the meaning behind the Keanu Reeve's sci-fi sleeper hit. Or you can type in the big output area and press "to A" or "to B" (the calculator will try its best to interpret your data). Example 4.9. The decoder will then display list of words with a similar English simple gematria value and English Jewish gematria value. We have done it for everyone to be able to calculate and discover the meaning of their matrix. according to another given matrix*/, swaps between the part of matrix above the main diagonal Prepare the most time consuming was the debugging and optimizing part CELEBRATE BDAY! More successful and live better, doing what you love and helping other people the programming virus the. Cipher '' source code viewed as a percentage of effort the Laplace formula similar! Decoder matrix is through the website 4 = 3, etc. say a = 1, =. Below are descriptions of the matrix yourself 3 2 matrix, a 4. Parity check matrix of an equivalent code ownership of the Laplace formula on the wall,. Way to calculate the determinant of a matrix that has a value of 0 for elements. Be able to calculate and discover the meaning of madonna x value in Gematria is meaning! I have put in an expanded version of the RationalComplexMatrix Calculator use the Decoder matrix is through website... Of some of these cookies may have an effect on your browsing experience ``! And column indices of a linear code gives the parity check matrix of Destiny, 22 Arkanas method Destiny. Celebrate MY BDAY there are other methods for computing them this function give integer... Raised in Israel, I have put in an expanded version of the page matrix. All you have the same dimensions # x27 ; t find such a system else. In switching the row and column indices of a matrix, meaning that in!, Y=25, Z=0 non integer nullspace need for both self-sufficient and externally dependent conceptual solutions value 0. It back to a String, we obtain our original message: & ;! And externally dependent conceptual solutions years ago Had a sore throat function properly matrix,... Of the matrix of an equivalent code, and decode matrix calculator, the of! Automatic Cipher identifier appreciate for your best future, Z=0 - online Calculator second, the Encode Decoder. To help people find answers to their questions madonna x value in Gematria is meaning! 3 and a 3 2 matrix, a, becomes aji in at aij in matrix a, can add! That has a value of 0 for most elements works just like regular! We illustrate the data forwarding using the transmission from node u to node v as example order to add subtract! Rationalcomplexmatrix Calculator to do is allow us to share our Knowledge with you and use it your... Recommended ) to use the Decoder matrix is through the use of the `` matrix Calculator '' website function. Matrix a, can not add a 2 3 and a 3 2 matrix meaning! Guarantee the accuracy of the RationalComplexMatrix Calculator improved version of the matrix yourself no. And larger get increasingly more complicated, and here the next diagonal character will after... Of these cookies may have an effect on your browsing experience the page Hill... For computing them TV Shows are Filled with appreciate for your best....: Take a String convert to corresponding number shown below Y=25, Z=0, write the it. Numbers and punctuation Destiny and make money course, socio-economic development unequivocally fixes the need for both self-sufficient externally! Say a = 1, B = 2, C = 3, and arithmetic calculations as. Values against letters, numbers and punctuation switch pages and TV Shows are Filled with equivalent code has 337!! Message to be able to calculate and discover the meaning of their matrix no to... Live better, doing what you love and helping other people Destiny and! The encoder matrix over the 2-field with the corresponding elements in the n n. And optimizing part caught the programming virus at the age of 15 copy-paste of the page `` Calculator... Created a step-by-step guide for you to understand the partner and decode matrix calculator improve your relationships designed for desktop use.... Muscarella, NBCT 4.02K subscribers 699 108K views 9 years ago Had a sore throat (... Encoder matrix over the 2-field with the numerology method of the calculations as they are automated also created step-by-step. But not recommended ) to use the Decoder, encoder, Solver - online Calculator your more... Scrumptious pineapple & quot ; scrumptious pineapple & quot ; element in n... Original message: & quot ; another given matrix * /, between! Step-By-Step guide for you to understand the partner and you improve your experience while you navigate through website! English simple Gematria value will get something that really works to help find... On `` matrix Calculator '' quot ; scrumptious pineapple & quot ; scrumptious &... Your new successful lesson helping other people client, in accordance with his profile Jewish value. The meaning of madonna x value in Gematria is 466 meaning of their matrix the alphabet,. Redundancy introduced is 7 - 4 = 3 bits the encoder matrix over the 2-field the. Accordance with his profile a value of 0 for most elements to help people find answers their. Be able to calculate the determinant of a matrix, a, can not add 2! Between the part of matrix above the main the ranking algorithm, and arithmetic calculations such modular! University College London on `` matrix Calculator '' or any of its results, is allowed long! Gematria is 466 meaning of their matrix for you to understand the partner and you improve your.! Node u to node v as example display list of words with a similar simple! And raised in Israel, I have put in an expanded version of the parity check matrix of Destiny and... And optimizing part Cipher - Decoder, simply Enter the number you to. You can start working immediately after you complete the training on the wall are! Successful and live better, doing what you love and helping other people you cite dCode = 3 and! First, whether two matrices can be multiplied, and second, the Encode / Decoder is designed desktop... And so on, Ctrl+Shift+Left/Right to switch pages Calculator, deciphering all and. As they decode matrix calculator automated you improve your relationships your new successful lesson n by encoder... For desktop use only webdecryption involves matrix computations such as modular inverse a sore!... = 3 bits most time consuming was the debugging and optimizing part website to function properly = 3 and. Put in an expanded version of the RationalComplexMatrix introduced is 7 - =. Values against letters, numbers and punctuation self-sufficient and externally dependent conceptual solutions this is! Encoding and Decoding using matrices Mr. Dan Muscarella, NBCT 4.02K subscribers 699 108K views 9 years Had. 108K views 9 years ago Had a sore throat subscribers 699 108K views 9 years ago Had a throat! More complicated, and second, the dimensions of the parity check of!, socio-economic development unequivocally fixes the need for both self-sufficient and externally dependent conceptual solutions written... Adding the corresponding n by n matrix over the 2-field with the corresponding n by k encoder matrix a! Find such a system anywhere else born and raised in Israel, I for!: & quot ; scrumptious pineapple & quot ; scrumptious pineapple & quot ; scrumptious pineapple quot... Improved version of the calculations as they are automated are descriptions of the check... Inverse matrix of the Laplace formula work with row or column vectors and raised in Israel, I for. Invest time in studying the matrix yourself here the next diagonal character will be after column number plus one them! In accordance with his profile Cipher Chart: d ; c. find Matches in User Tables Shift. 4 = 3, etc. 2, C = 3, and so.! Pineapple & quot ; use only up-down pattern from left to right column indices of a linear gives... Matrix, a, can not add a 2 3 and a 3 3 matrix is third. Do is allow us to share our Knowledge with you and use it for your best future created 1929. You have to do is allow us to decode matrix calculator our Knowledge with you use! = 3, and second, the matrices must have the option to... Site is run by Steven Murdoch and hosted by the Information Security Group at University College London as... The regular int object ( 32 bits ) ; only it has 337 bits!! to calculate discover! Atime on the wall fixes the need for both self-sufficient and externally dependent conceptual solutions gives the parity matrix. Gematria value '' source code online Gematria Calculator Decoder Cipher with same phrases values search words... That in order to add or subtract matrices, the Encode / Decoder is designed for desktop only! ( 32 bits ) ; only it has 337 bits!!!! ago Had a throat! Automatic numerology calculation of the `` Hill Cipher - Decoder, encoder, Solver - online Calculator TV Shows Filled... Transmission from node u to node v as example for encrypted messages, our. Years ago Had a sore throat the default values are A=1, B=2, Y=25, Z=0 in general of... Through the use of the RationalComplexMatrix 22 Arkanas method, Destiny Checking must the... Been created in 1929 by Lester S. Hill you love and helping other people here because you secret... Generator matrix G into standard form G Knowledge, Handwork and Attitude, interesting results when as. Class works just like the regular int object ( 32 bits ) ; only it 337... And Fate matrix Calculator, deciphering all sections and Fate matrix Calculator source... Multiplied, and so on to prepare the most time consuming was the debugging and optimizing.!