verbose (0/1)? Input a curve: Curve [1,0,1,-19252966408674012828065964616418441723,32685500727716376257923347071452044295907443056345614006] enter number of points: enter point 1 : enter point 2 : enter point 3 : enter point 4 : enter point 5 : enter point 6 : enter point 7 : enter point 8 : enter point 9 : enter point 10 : enter point 11 : enter point 12 : enter point 13 : enter point 14 : enter point 15 : enter point 16 : enter point 17 : enter point 18 : enter point 19 : enter point 20 : enter point 21 : enter point 22 : enter point 23 : 23 points entered. Enter number of primes to use: Processing point [5836121652711390553392352147587734955:-69455519784971993679807552308609739430858248812:41166906143372569] Image = 00 1 1 0 11 0 0 1 0 0 1 0 1 1 00 1 1 11 1 1 After elimination: 00 1 1 0 11 0 0 1 0 0 1 0 1 1 00 1 1 11 1 1 P independent of previous points (using prime 31) rank increases to 1 Processing point [1168425140326369941586705900133272389:-17137023844710987140049387309945953892946213544:5429411004770479] Image = 11 1 1 1 11 0 0 0 1 1 0 0 0 1 00 1 0 01 0 1 After elimination: 11 0 0 1 00 0 0 1 1 1 1 0 1 0 00 0 1 10 1 0 P independent of previous points (using prime 7) rank increases to 2 Processing point [69505543020048021386994294068829048:1443380843339272397458721030742392016696304046:161157926442059] Image = 11 1 0 0 01 1 1 1 0 1 1 1 1 1 01 1 1 11 0 0 After elimination: 00 0 1 1 10 1 1 1 1 0 1 1 1 0 01 0 1 10 0 1 P independent of previous points (using prime 43) rank increases to 3 Processing point [33726169481462771119596650221569:49412130720987886904443301152758710388796:7098921280459] Image = 11 0 1 0 01 0 0 1 0 0 1 0 0 1 00 0 0 01 0 1 After elimination: 00 0 0 0 11 1 1 1 0 1 1 1 0 1 01 0 0 01 1 0 P independent of previous points (using prime 53) rank increases to 4 Processing point [15827793579244286948730141533934:6538434104009303265024749952830709029353:5389750958437] Image = 01 1 0 1 11 1 1 0 1 0 0 1 1 1 01 1 1 11 1 0 After elimination: 01 0 0 0 01 1 1 1 0 1 1 1 1 1 01 0 1 11 1 0 P independent of previous points (using prime 7) rank increases to 5 Processing point [695536410556937814932194749585:230697883363551870088729854504374414548:302787575875] Image = 11 1 1 0 01 0 1 1 0 1 1 1 0 0 11 0 1 00 1 1 After elimination: 00 0 0 1 01 1 0 0 1 1 0 0 0 0 10 1 1 00 0 0 P independent of previous points (using prime 47) rank increases to 6 Processing point [3765485669836998883000769028606015:1411381089291349753164768808558921002947204:1666240341498377] Image = 01 1 1 0 01 1 0 1 0 1 0 0 0 1 10 0 1 10 0 0 After elimination: 00 0 0 0 00 1 0 0 0 1 1 0 0 0 10 1 1 11 1 1 P independent of previous points (using prime 59) rank increases to 7 Processing point [3944555884631464928934930:5657335012046240705357319452802233:2406104] Image = 01 0 0 1 11 1 0 0 0 0 1 1 1 0 00 1 0 10 1 1 After elimination: 00 0 0 0 00 0 0 0 1 1 1 1 0 0 10 0 0 00 1 1 P independent of previous points (using prime 83) rank increases to 8 Processing point [1127027270330215920:3523978127407100674110377602:1] Image = 10 1 1 0 00 1 0 1 1 0 1 0 1 1 11 1 1 11 1 0 After elimination: 00 0 0 0 00 0 0 1 0 1 0 1 0 0 11 1 1 00 0 0 P independent of previous points (using prime 71) rank increases to 9 Processing point [256051163199552568592395095:-394563651945882403580468873435105816:51895117] Image = 00 1 0 1 00 0 0 1 1 1 0 1 0 1 10 0 1 11 1 0 After elimination: 00 0 0 0 01 0 1 0 0 1 1 1 0 0 10 1 1 01 1 1 P independent of previous points (using prime 53) rank increases to 10 Processing point [442619010291205562786415:-1167962768316319592876571517317044:50653] Image = 01 0 1 1 00 1 1 0 0 1 1 0 1 0 01 0 0 11 1 0 After elimination: 00 0 0 0 00 0 0 0 0 1 1 1 1 0 01 1 1 11 0 0 P independent of previous points (using prime 89) rank increases to 11 Processing point [55822325193081529476460202295:-151915114589061403100759698106532333112:6118445789] Image = 11 0 1 0 10 0 1 0 1 1 0 1 1 1 00 1 1 00 0 1 After elimination: 00 0 0 0 00 0 0 0 0 0 0 1 1 1 01 0 0 11 1 0 P independent of previous points (using prime 109) rank increases to 12 Processing point [356145268111068765982119246504180:-1150775031908416918955115365651634494501651:30094741482625] Image = 10 1 1 1 01 1 1 1 1 1 1 0 0 1 11 0 0 10 1 0 After elimination: 00 0 0 0 00 0 1 0 0 0 0 0 0 1 11 1 1 01 1 0 P independent of previous points (using prime 67) rank increases to 13 Processing point [178158613465020969197033760546270:184569435055535326363669745422918052707327:46079082400051] Image = 11 1 0 0 11 0 0 1 1 0 0 0 1 1 01 1 1 10 1 1 After elimination: 00 0 0 0 00 0 0 0 0 0 1 0 1 0 00 0 0 11 1 1 P independent of previous points (using prime 97) rank increases to 14 Processing point [192666510528582744766151703315:-10531550647702714814852169224678207441368:64481201] Image = 10 1 1 0 11 1 0 1 1 1 0 0 1 1 01 0 1 11 1 1 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 1 0 01 0 1 00 0 1 P independent of previous points (using prime 113) rank increases to 15 Processing point [743072319779988539974981500704194760635:964874722537391293613786748114488474882993683572:437169613520472565481] Image = 00 1 1 0 10 0 1 0 0 0 0 0 1 0 11 1 1 10 1 0 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 1 10 0 0 00 1 0 P independent of previous points (using prime 127) rank increases to 16 Processing point [524227677070779268411695177915:3941156276776007263792745630379334937996:9221366673] Image = 01 0 1 1 11 1 0 1 1 1 1 1 1 0 00 0 0 00 0 0 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 10 0 1 10 1 1 P independent of previous points (using prime 131) rank increases to 17 Processing point [109625308172049929108967881865:387496978790653709721061294119215460988:7988005999] Image = 01 0 0 0 11 1 0 1 1 1 0 0 0 1 10 0 0 01 0 0 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 0 11 0 1 P independent of previous points (using prime 131) rank increases to 18 Processing point [90690032605118118988993244301780:-953144078079942906360903670036536669593542:819763055279] Image = 00 0 0 1 10 0 1 0 1 1 0 1 1 1 11 0 1 11 0 1 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 00 1 0 01 0 0 P independent of previous points (using prime 139) rank increases to 19 Processing point [244353456546628958634824760:-775394556680837651292166377698874734:21253933] Image = 01 0 0 0 10 0 0 0 1 1 1 1 0 0 00 1 1 00 0 0 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 11 0 0 P independent of previous points (using prime 151) rank increases to 20 Processing point [435887272311260175170207520:4712624271973109965160039085789391367:3723875] Image = 11 0 0 0 01 0 1 1 0 1 0 1 0 0 01 0 1 01 0 1 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 00 1 0 P independent of previous points (using prime 157) rank increases to 21 Processing point [386870511037825543981230636169542701637111:83015454575998684006900205726968222686505350799684:159996363164349841378621] Image = 11 1 1 0 01 0 1 0 1 1 1 1 1 0 11 0 0 00 1 1 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 00 0 1 P independent of previous points (using prime 163) rank increases to 22 Processing point [62160011888235162136050:10099849221189668277354753748208:24389] Image = 00 1 0 1 10 0 1 1 0 0 1 0 1 1 11 1 1 11 0 0 After elimination: 00 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 1 00 0 0 P independent of previous points (using prime 149) rank increases to 23 Points are all independent, their rank is 23 Input a curve: