Crypto HW 1.sagews

#Here I am stating what is going to occur in the code. The shift cryptosystem will be run, giving values to letters from A-Z 
S = ShiftCryptosystem(AlphabeticStrings());
    S
#This next line encodes the poem: I shall be telling this with a sigh Smewhere ages and ages hence:Two roads diverged in a wood, and I—I took the one less traveled, by And that has made all the difference. With a shift of 12
    P = S.encoding("I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I— I took the one less traveled by, And that has made all the difference")
    P
Key = 12
C = S.enciphering(Key, P);
C
S.deciphering(Key, C)
S.deciphering(Key, C) == P

#This line encodes the gibberish from 1/C Miller into the system
PP=S.encoding("URERGURFYRQTRFJVGUUGURORYYFFVYIREORYYFJUNGNJBEYQBSZREEVZRAGGURVEZRYBQLSBERGRYYFUBJGURLGVAXYRGVAXYRGVAXYRVAGURVPLNVEBSAVTUGJUVYRGURFGNEGGUNGBIREFCEVAXYRNYYGURURNIRAFFRRZGBGJVAXYRJVGUNPELFGNYYVARQRYVTUGXRRCVATGVZRGVZRGVZRVANFBEGBSEHVAVPEULZRGBGURGVAGVAANOHYNGVBAGUNGFBZHFVPNYYLJRYYFSEBZGURORYYFORYYFORYYFORYYFORYYFORYYFORYYFSEBZGURWVATYVATNAQGURGVAXYVATBSGURORYYF")
#next a range of 1:0-26 is established to test all values of k
#all 26 options will be printed and, I will read through the gibberish to print the code that makes sense. 
for i in range(0,26):
    key = i;
    #C=s.enciphering(key,P);
    #C
    X = S.deciphering(key,PP);X
    #S.deciphering(keu,C)==P
#The encoded paragraph from 1/C Miller was:HERETHESLEDGESWITHHTHEBELLSSILVERBELLSWHATAWORLDOFMERRIMENTTHEIRMELODYFORETELLSHOWTHEYTINKLETINKLETINKLEINTHEICYAIROFNIGHTWHILETHESTARTTHATOVERSPRINKLEALLTHEHEAVENSSEEMTOTWINKLEWITHACRYSTALLINEDELIGHTKEEPINGTIMETIMETIMEINASORTOFRUINICRHYMETOTHETINTINNABULATIONTHATSOMUSICALLYWELLSFROMTHEBELLSBELLSBELLSBELLSBELLSBELLSBELLSFROMTHEJINGLINGANDTHETINKLINGOFTHEBELLS

# Define the Affine Cipher by using letters.
AF=AffineCryptosystem(AlphabeticStrings())
# Encryption Key
cipher = AF(9,3)
# Plaintext
SYS = AF.encoding("The ultimate measure of a man is not where he stands in moments of comfort and convenience, but where he stands at times of challenge and controversy.")
SYS
# Display Ciphertext
C = cipher(SYS); C
#The top code is sourced from Prof. Nakos, worked with 1/C Miller and 1/C Wasielewski 

M=AF.encoding("VRXMDODTJFVDXATBWIFVDVGDBGMDODTJFVDXAVDJVXDQASJWDUGMJXWXWNPSJAXVHXMMXWNZBFXWVXYD")
# Decryption by Brute force. Try all keys.
rank = AF.brute_force(M, ranking="squared_differences")
rank[:10]
#1/C Miller's encrypted paragraph was  SMILEBECAUSEITCONFUSESPEOPLEBECAUSEITSEASIERTHANEXPLAININGWHATISKILLINGYOUINSIDE

#I worked with 1/C Miller and 1/C Wasielewski for coding HW 1.

THEULTIMATEMEASUREOFAMANISNOTWHEREHESTANDSINMOMENTSOFCOMFORTANDCONVENIENCEBUTWHEREHESTANDSATTIMESOFCHALLENGEANDCONTROVERSY SONBYSXHDSNHNDJBANZWDHDQXJQZSTONANONJSDQEJXQHZHNQSJZWVZHWZASDQEVZQKNQXNQVNMBSTONANONJSDQEJDSSXHNJZWVODYYNQFNDQEVZQSAZKNAJL [((5, 9), SMILEBECAUSEITCONFUSESPEOPLEBECAUSEITSEASIERTHANEXPLAININGWHATISKILLINGYOUINSIDE), ((19, 25), IQENSJSMGOISELMWTVOISIZSWZNSJSMGOISELISGIESFLBGTSXZNGETETYUBGLEIKENNETYAWOETIEPS), ((11, 5), SUEDOPOGYASOEJGCLFASOSTOCTDOPOGYASOEJSOYSEOBJNYLOZTDYELELWINYJESMEDDELWQCAELSEXO), ((15, 13), ECSTIHIQYWEISNQULRWEIEDIUDTIHIQYWEISNEIYESIVNJYLIXDTYSLSLAOJYNSEKSTTSLAGUWSLESZI), ((15, 21), AYOPEDEMUSAEOJMQHNSAEAZEQZPEDEMUSAEOJAEUAOERJFUHETZPUOHOHWKFUJOAGOPPOHWCQSOHAOVE), ((11, 22), HJTSDEDVNPHDTYVRAUPHDHIDRISDEDVNPHDTYHDNHTDQYCNADOISNTATALXCNYTHBTSSTALFRPTAHTMD), ((23, 21), AKIDGLGSEOAGIHSYRNOAGAFGYFDGLGSEOAGIHAGEAIGTHBERGJFDEIRIRUCBEHIAWIDDIRUQYOIRAIZG), ((19, 23), EMAJOFOICKEOAHISPRKEOEVOSVJOFOICKEOAHEOCEAOBHXCPOTVJCAPAPUQXCHAEGAJJAPUWSKAPEALO), ((7, 1), OGSJENEKQIOESLKADBIOEOXEAXJENEKQIOESLOEQOSERLVQDEZXJQSDSDYCVQLSOMSJJSDYWAISDOSHE), ((5, 3), OIEHAXAYWQOAEPYKJBQOAOLAKLHAXAYWQOAEPOAWOEANPDWJATLHWEJEJCSDWPEOGEHHEJCUKQEJOEZA)]