»Click Here to See the Raw Output (Warning: huge!)«
# Trapezoidal approximation to erf
#m I NFCOUNT
8 0.1122765386942225 2
0.1124163564684122 5
0.1124422257416249 9
0.1124512782998106 14
0.1124554680449573 20
0.1124577438773871 27
0.1124591161058533 35
0.1124600067241533 44
15 0.2212513954200376 2
0.2223408583889125 5
0.2225419070979718 9
0.2226122226482984 14
0.2226447596805772 20
0.2226624317266093 27
0.2226730865997525 35
0.2226800016948912 44
0.2226847425124880 54
0.2226881335171451 65
0.2226906424372198 77
0.2226925506539897 90
0.2226940356817668 104
0.2226952139973947 119
0.2226961645968641 135
22 0.3239460115071714 2
0.3274641247512093 5
0.3281106432251039 9
0.3283365637754097 14
0.3284410696286424 20
0.3284978215351999 27
0.3285320354662928 35
0.3285542393384207 44
0.3285694612010251 54
0.3285803487913946 65
0.3285884040987069 77
0.3285945306621069 90
0.3285992984743391 104
0.3286030815284107 119
0.3286061334653577 135
0.3286086312268419 152
0.3286107012932075 170
0.3286124360169239 189
0.3286139041049638 209
0.3286151575285063 230
0.3286162361867408 252
0.3286171711219115 275
28 0.4179840931869641 2
0.4258190040144547 5
0.4272509338413260 9
0.4277507536480174 14
0.4279818625497684 20
0.4281073406983195 27
0.4281829788344286 35
0.4282320623538870 44
0.4282657099708875 54
0.4282897759766236 65
0.4283075810597297 77
0.4283211226938424 90
0.4283316609156462 104
0.4283400224517563 119
0.4283467679703625 135
0.4283522885886688 152
0.4283568638776637 170
0.4283606979694050 189
0.4283639427290793 209
0.4283667130290466 230
0.4283690970580746 252
0.4283711634280073 275
0.4283729661663983 299
0.4283745482844331 324
0.4283759443665219 350
0.4283771824765593 377
0.4283782855794176 405
0.4283792726136109 434
34 0.5017904365077394 2
0.5158987505978982 5
0.5184609243014511 9
0.5193541351917704 14
0.5197669475367550 20
0.5199910283775566 27
0.5201260867485488 35
0.5202137225853846 44
0.5202737953182989 54
0.5203167599488668 65
0.5203485462108521 77
0.5203727207296069 90
0.5203915332689856 104
0.5204064598697836 119
0.5204185015199586 135
0.5204283564826361 152
0.5204365238670391 170
0.5204433680976703 189
0.5204491602864774 209
0.5204541055029193 230
0.5204583611795336 252
0.5204620497995678 275
0.5204652678102596 299
0.5204680919925062 324
0.5204705840839141 350
0.5204727941818925 377
0.5204747632813127 405
0.5204765251894180 434
0.5204781079867117 464
0.5204795351528099 495
0.5204808264422770 527
0.5204819985719442 560
0.5204830657646953 594
0.5204840401829834 629
39 0.5746867796429400 2
0.5967216627071590 5
0.6006974770698144 9
0.6020817523030362 14
0.6027212165464121 20
0.6030682480692416 27
0.6032773845554148 35
0.6034130769248909 44
0.6035060866032166 54
0.6035726056236408 65
0.6036218166731478 77
0.6036592425796832 90
0.6036883668631584 104
0.6037114749247428 119
0.6037301165779843 135
0.6037453729057343 152
0.6037580166362342 170
0.6037686119676056 189
0.6037775786267474 209
0.6037852340920432 230
0.6037918220903857 252
0.6037975322408563 275
0.6038025138545313 299
0.6038068857960611 324
0.6038107436410283 350
0.6038141649445323 377
0.6038172131698926 405
0.6038199406532124 434
0.6038223908650344 464
0.6038246001533030 495
0.6038265990992627 527
0.6038284135815025 560
0.6038300656177928 594
0.6038315740362115 629
0.6038329550140026 665
0.6038342225131454 702
0.6038353886346546 740
0.6038364639084886 779
0.6038374575321067 819
44 0.6368789096271179 2
0.6678387540641724 5
0.6733940932353835 9
0.6753262105230907 14
0.6762183865759986 20
0.6767024669295502 27
0.6769941626754830 35
0.6771834082984854 44
0.6773131198830924 54
0.6774058845667013 65
0.6774745106862798 77
0.6775267012099999 90
0.6775673145609666 104
0.6775995380511293 119
0.6776255330545818 135
0.6776468072201965 152
0.6776644381552666 170
0.6776792126505043 189
0.6776917160204098 209
0.6777023909882522 230
0.6777115774280760 252
0.6777195397593757 275
0.6777264861917621 299
0.6777325824773708 324
0.6777379618920104 350
0.6777427325822992 377
0.6777469830442656 405
0.6777507862574249 434
0.6777542028386314 464
0.6777572834726066 495
0.6777600708027047 527
0.6777626009146872 560
0.6777649045106345 594
0.6777670078447998 629
0.6777689334750265 665
0.6777707008701235 702
0.6777723269039175 740
0.6777738262595158 779
0.6777752117619570 819
0.6777764946533884 860
0.6777776848218453 902
0.6777787909923614 945
0.6777798208873375 989
0.6777807813616906 1034
48 0.6893459813411926 2
0.7292895102063195 5
0.7364364438139291 9
0.7389203988669899 14
0.7400670909766521 20
0.7406891878129107 27
0.7410640219811531 35
0.7413071950088832 44
0.7414738642172363 54
0.7415930570768178 65
0.7416812330897792 77
0.7417482906519162 90
0.7418004727045655 104
0.7418418747647038 119
0.7418752740280028 135
0.7419026076775898 152
0.7419252603190600 170
0.7419442428816444 189
0.7419603074166360 209
0.7419740227608728 230
0.7419858256020713 252
0.7419960556784493 275
0.7420049805061180 299
0.7420128130493596 324
0.7420197245451822 350
0.7420258539434308 377
0.7420313149460432 405
0.7420362013187488 434
0.7420405909433034 464
0.7420445489403471 495
0.7420481300987444 527
0.7420513807819943 560
0.7420543404365161 594
0.7420570427940685 629
0.7420595168371895 665
0.7420617875795730 702
0.7420638767008374 740
0.7420658030659342 779
0.7420675831525435 819
0.7420692314046288 860
0.7420707605263757 902
0.7420721817277344 945
0.7420735049304648 989
0.7420747389417756 1034
0.7420758916012618 1080
0.7420769699057278 1127
0.7420779801156185 1175
0.7420789278460963 1224
51 0.7336564836011439 2
0.7815176476560710 5
0.7901034636003563 9
0.7930874902744030 14
0.7944650035272818 20
0.7952123131289158 27
0.7956625880186097 35
0.7959547013157063 44
0.7961549130337748 54
0.7962980932693356 65
0.7964040143355231 77
0.7964845668181674 90
0.7965472501067323 104
0.7965969839621775 119
0.7966371044967763 135
0.7966699387512175 152
0.7966971499798402 170
0.7967199525574407 189
0.7967392498816738 209
0.7967557252641390 230
0.7967699032727222 252
0.7967821920151564 275
0.7967929128427700 299
0.7968023215768596 324
0.7968106239141400 350
0.7968179867666328 377
0.7968245467175299 405
0.7968304164018385 434
0.7968356893740960 464
0.7968404438596833 495
0.7968447456730429 527
0.7968486505077420 560
0.7968522057482831 594
0.7968554519145009 629
0.7968584238212834 665
0.7968611515159936 702
0.7968636610409785 740
0.7968659750575018 779
0.7968681133591481 819
0.7968700932965254 860
0.7968719301303576 902
0.7968736373264375 945
0.7968752268031372 989
0.7968767091399889 1034
0.7968780937541935 1080
0.7968793890505590 1127
0.7968806025493532 1175
0.7968817409957070 1224
0.7968828104535494 1274
0.7968838163865253 1325
0.7968847637279188 1377
53 0.7717433322580537 2
0.8252629555967492 5
0.8349853226346464 9
0.8383677774412051 14
0.8399297272347962 20
0.8407772219914336 27
0.8412879031509835 35
0.8416192212447681 44
0.8418463110128558 54
0.8420087166168226 65
0.8421288620866881 77
0.8422202332795503 90
0.8422913359976456 104
0.8423477503675252 119
0.8423932603706570 135
0.8424305054902325 152
0.8424613723222085 170
0.8424872383212948 189
0.8425091282120635 209
0.8425278170807238 230
0.8425438999526440 252
0.8425578397529967 275
0.8425700009989269 299
0.8425806738762619 324
0.8425900917137692 350
0.8425984438459704 377
0.8426058852046624 405
0.8426125435565442 434
0.8426185250247409 464
0.8426239183439819 495
0.8426287981708104 527
0.8426332276812570 560
0.8426372606260326 594
0.8426409429689512 629
0.8426443142024465 665
0.8426474084109211 702
0.8426502551356919 740
0.8426528800827415 779
0.8426553057050967 819
0.8426575516845864 860
0.8426596353323693 902
0.8426615719235183 945
0.8426633749777763 989
0.8426650564961669 1034
0.8426666271612121 1080
0.8426680965070196 1127
0.8426694730643093 1175
0.8426707644845166 1224
0.8426719776463493 1274
0.8426731187475761 1325
0.8426741933843447 1377
0.8426752066199238 1430
0.8426761630444549 1484
54 0.8056723206888163 2
0.8614463163547098 5
0.8718907776694478 9
0.8755332475988884 14
0.8772166183552298 20
0.8781303351915495 27
0.8786810332277680 35
0.8790383581538199 44
0.8792832935396572 54
0.8794584716371321 65
0.8795880713775146 77
0.8796866356254913 90
0.8797633376064040 104
0.8798241956737172 119
0.8798732911746148 135
0.8799134711258828 152
0.8799467705228620 170
0.8799746752082082 189
0.8799982905622957 209
0.8800184526928786 230
0.8800358034804806 252
0.8800508423095922 275
0.8800639624105229 299
0.8800754768301408 324
0.8800856372811133 350
0.8800946480170618 377
0.8801026761791152 405
0.8801098596033614 434
0.8801163127771545 464
0.8801221314294042 495
0.8801273961015055 527
0.8801321749496355 560
0.8801365259618531 594
0.8801404987256047 629
0.8801441358468929 665
0.8801474740974173 702
0.8801505453476762 740
0.8801533773304994 779
0.8801559942693195 819
0.8801584173979041 860
0.8801606653924524 902
0.8801627547325497 945
0.8801647000040580 989
0.8801665141543759 1034
0.8801682087084404 1080
0.8801697939522232 1127
0.8801712790891918 1175
0.8801726723741955 1224
0.8801739812284217 1274
0.8801752123384262 1325
0.8801763717417008 1377
0.8801774649008357 1430
0.8801784967679853 1484
0.8801794718410502 1539
55 0.8374341084594311 2
0.8910631132582880 5
0.9017555368585212 9
0.9055004017869418 14
0.9072335533081022 20
0.9081749116772097 27
0.9087424754888064 35
0.9091108257677758 44
0.9093633556016975 54
0.9095439835649386 65
0.9096776249951158 77
0.9097792686173539 90
0.9098583702585061 104
0.9099211343611752 119
0.9099717688279590 135
0.9100132091554669 152
0.9100475536975560 170
0.9100763346264763 189
0.9101006918315118 209
0.9101214875498014 230
0.9101393837389237 252
0.9101548954150084 275
0.9101684281250895 299
0.9101803047267210 324
0.9101907848249169 350
0.9102000790803240 377
0.9102083598789273 405
0.9102157693835333 434
0.9102224256763632 464
0.9102284274929885 495
0.9102338579050619 527
0.9102387872103939 560
0.9102432752195282 594
0.9102473730786530 629
0.9102511247332751 665
0.9102545681113433 702
0.9102577360856283 740
0.9102606572612177 779
0.9102633566235125 819
0.9102658560742765 860
0.9102681748773037 902
0.9102703300307119 945
0.9102723365793467 989
0.9102742078780642 1034
0.9102759558145213 1080
0.9102775909984373 1127
0.9102791229229730 1175
0.9102805601028289 1224
0.9102819101928148 1274
0.9102831800899912 1325
0.9102843760219309 1377
0.9102855036232158 1430
0.9102865680019235 1484
0.9102875737975833 1539
0.9102885252318192 1595
54 0.8687816500295285 2
0.9150962212029958 5
0.9255608369011615 9
0.9292500381209327 14
0.9309611700402597 20
0.9318915145838703 27
0.9324527522043247 35
0.9328171215597090 44
0.9330669784605514 54
0.9332457224610508 65
0.9333779849256251 77
0.9334785882210762 90
0.9335568853073343 104
0.9336190141685948 119
0.9336691381824279 135
0.9337101620873667 152
0.9337441624257983 170
0.9337726555484399 189
0.9337967696384953 209
0.9338173581194129 230
0.9338350762090186 252
0.9338504336975463 275
0.9338638320289757 299
0.9338755908027343 324
0.9338859670098750 350
0.9338951691940756 377
0.9339033680119986 405
0.9339107042025264 434
0.9339172946667854 464
0.9339232371539915 495
0.9339286139068484 527
0.9339334945223934 560
0.9339379382154848 594
0.9339419956233445 629
0.9339457102544987 665
0.9339491196600153 702
0.9339522563862239 740
0.9339551487543171 779
0.9339578215018586 819
0.9339602963134712 860
0.9339625922620483 902
0.9339647261773315 945
0.9339667129551993 989
0.9339685658183210 1034
0.9339702965367306 1080
0.9339719156152020 1127
0.9339734324530242 1175
0.9339748554807237 1224
0.9339761922774578 1274
0.9339774496721394 1325
0.9339786338308241 1377
0.9339797503324454 1430
0.9339808042346436 1484
0.9339818001311458 1539
54 0.9011246123409534 2
0.9344547084578537 5
0.9442681362577453 9
0.9477600884191969 14
0.9493847922516542 20
0.9502694277031413 27
0.9508035171452912 35
0.9511504305390435 44
0.9513883938255487 54
0.9515586671989300 65
0.9516846820429508 77
0.9517805446901350 90
0.9518551591073582 104
0.9519143700310017 119
0.9519621426729470 135
0.9520012439256681 152
0.9520336520257038 170
0.9520608116802315 189
0.9520837978566001 209
0.9521034237784206 230
0.9521203138362664 252
0.9521349538594432 275
0.9521477264398164 299
0.9521589361794911 324
0.9521688280180666 350
0.9521776007253455 377
0.9521854169638729 405
0.9521924108828602 434
0.9521986939121170 464
0.9522043592275710 495
0.9522094852253845 527
0.9522141382484605 560
0.9522183747437025 594
0.9522222429819082 629
0.9522257844387764 665
0.9522290349112480 702
0.9522320254255970 740
0.9522347829805179 779
0.9522373311586005 819
0.9522396906321793 860
0.9522418795839006 902
0.9522439140580585 945
0.9522458082554169 989
0.9522475747816783 1034
0.9522492248577423 1080
0.9522507684983273 1127
0.9522522146642762 1175
0.9522535713928907 1224
0.9522548459098408 1274
0.9522560447255665 1325
0.9522571737185827 1377
0.9522582382076763 1430
0.9522592430146658 1484
0.9522601925190983 1539
52 0.9354820922393565 2
0.9499393480160837 5
0.9587724022578054 9
0.9619547120255458 14
0.9634415972210171 20
0.9642527813835557 27
0.9647430547485089 35
0.9650617182606285 44
0.9652803986883263 54
0.9654369214656667 65
0.9655527850725198 77
0.9656409397394790 90
0.9657095632157120 104
0.9657640252879041 119
0.9658079698760469 135
0.9658439401904291 152
0.9658737548381870 170
0.9658987421261510 189
0.9659198905206786 209
0.9659379478759235 230
0.9659534884371596 252
0.9659669590464043 275
0.9659787116133195 299
0.9659890263263383 324
0.9659981285031982 350
0.9660062009975130 377
0.9660133934519763 405
0.9660198292819513 434
0.9660256110040437 464
0.9660308243431678 495
0.9660355414279381 527
0.9660398232985308 560
0.9660437218910256 594
0.9660472816194852 629
0.9660505406463523 665
0.9660535319093972 702
0.9660562839571185 740
0.9660588216323585 779
0.9660611666348610 819
0.9660633379866519 860
0.9660653524189740 902
0.9660672246955314 945
0.9660689678837395 989
0.9660705935833359 1034
0.9660721121198348 1080
0.9660735327088743 1127
0.9660748635963533 1175
0.9660761121783563 1224
0.9660772851041206 1274
0.9660783883647401 1325
0.9660794273698178 1377
0.9660804070138960 1430
50 0.9724865805835663 2
0.9622319192977584 5
0.9698735172164613 9
0.9726702179860180 14
0.9739840837254450 20
0.9747027075056259 27
0.9751376500191959 35
0.9754205937764135 44
0.9756148718721215 54
0.9757539831057157 65
0.9758569873369223 77
0.9759353745837690 90
0.9759964045867575 104
0.9760448463713473 119
0.9760839372569018 135
0.9761159372689256 152
0.9761424628574081 170
0.9761646948796237 189
0.9761835122035483 209
0.9761995798439672 230
0.9762134084897951 252
0.9762253955623333 275
0.9762358540737286 299
0.9762450332588039 324
0.9762531335549834 350
0.9762603176327931 377
0.9762667186235343 405
0.9762724463294112 434
0.9762775919622944 464
0.9762822317964309 495
0.9762864300105005 527
0.9762902409182950 560
0.9762937107338148 594
0.9762968789786216 629
0.9762997796119645 665
0.9763024419443785 702
0.9763048913808990 740
0.9763071500292626 779
0.9763092372004111 819
0.9763111698225555 860
0.9763129627854538 902
0.9763146292280144 945
0.9763161807796602 989
0.9763176277637384 1034
0.9763189793696639 1080
0.9763202437991596 1127
0.9763214283909567 1175
0.9763225397275089 1224
0.9763235837266239 1274
0.9763245657203938 1325
48 1.0124266764535239 2
0.9719025979726481 5
0.9782632272455605 9
0.9806363526313392 14
0.9817588727312215 20
0.9823748202730836 27
0.9827482834005146 35
0.9829914982821578 44
0.9831586173389258 54
0.9832783412581034 65
0.9833670222069071 77
0.9834345274565799 90
0.9834870958998566 104
0.9835288281748216 119
0.9835625090583565 135
0.9835900832990785 152
0.9836129422254664 170
0.9836321024627409 189
0.9836483207859710 209
0.9836621699138473 230
0.9836740897151671 252
0.9836844225367632 275
0.9836934380396176 299
0.9837013509582528 324
0.9837083339971530 350
0.9837145273283852 377
0.9837200456767607 405
0.9837249836681847 434
0.9837294199112108 464
0.9837334201434312 495
0.9837370396797713 527
0.9837403253342355 560
0.9837433169406538 594
0.9837460485652687 629
0.9837485494805115 665
0.9837508449522480 702
0.9837529568802256 740
0.9837549043221987 779
0.9837567039252609 819
0.9837583702826953 860
0.9837599162306837 902
0.9837613530961929 945
0.9837626909049941 989
0.9837639385569958 1034
0.9837651039746098 1080
0.9837661942288093 1127
0.9837672156466160 1175
0.9837681739030832 1224
45 1.0553138013847714 2
0.9794286175087121 5
0.9845239343589530 9
0.9864702085524155 14
0.9873985040591472 20
0.9879098991043631 27
0.9882206527732932 35
0.9884233023098901 44
0.9885626719730093 54
0.9886625780301207 65
0.9887366127563829 77
0.9887929879134500 90
0.9888369002523659 104
0.9888717677431591 119
0.9888999127732211 135
0.9889229578557911 152
0.9889420641725817 170
0.9889580804169102 189
0.9889716384995858 209
0.9889832167349960 230
0.9889931825455855 252
0.9890018219333477 275
0.9890093602042759 299
0.9890159767910514 324
0.9890218160190237 350
0.9890269950362411 377
0.9890316097300864 405
0.9890357391941478 434
0.9890394491374797 464
0.9890427945130146 495
0.9890458215629943 527
0.9890485694246355 560
0.9890510714008445 594
0.9890533559735067 629
0.9890554476172740 665
0.9890573674574981 702
0.9890591338055088 740
0.9890607625966943 779
0.9890622677510383 819
0.9890636614714069 860
0.9890649544915814 902
0.9890661562834772 945
0.9890672752310485 989
0.9890683187768650 1034
0.9890692935461565 1080
42 1.1009587121544124 2
0.9852176479806295 5
0.9891353992153009 9
0.9906794651446904 14
0.9914231970773597 20
0.9918348732425949 27
0.9920856988918751 35
0.9922495365339240 44
0.9923623358935918 54
0.9924432561361818 65
0.9925032542302306 77
0.9925489595294709 90
0.9925845719084908 104
0.9926128559482915 119
0.9926356912826101 135
0.9926543917654189 152
0.9926698980658683 170
0.9926828979381226 189
0.9926939036052831 209
0.9927033028767225 230
0.9927113937114596 252
0.9927184080803585 275
0.9927245287515563 299
0.9927299012992081 324
0.9927346428277617 350
0.9927388483994558 377
0.9927425958307998 405
0.9927459493143487 434
0.9927489621833646 464
0.9927516790435360 495
0.9927541374320785 527
0.9927563691202631 560
0.9927584011443238 594
0.9927602566275985 629
0.9927619554408414 665
0.9927635147361229 702
0.9927649493812165 740
0.9927662723151327 779
0.9927674948407369 819
0.9927686268668557 860
0.9927696771096012 902
0.9927706532605775 945
39 1.1490461524496045 2
0.9896305736453971 5
0.9924858486302132 9
0.9936717209022358 14
0.9942494267836253 20
0.9945710025820668 27
0.9947675528424740 35
0.9948961896883084 44
0.9949848687024698 54
0.9950485428416196 65
0.9950957847144268 77
0.9951317901763621 90
0.9951598552159102 104
0.9951821515687126 119
0.9952001569278480 135
0.9952149048226964 152
0.9952271355851022 170
0.9952373907144518 189
0.9952460736417934 209
0.9952534898947601 230
0.9952598742701507 252
0.9952654096021988 275
0.9952702399699361 299
0.9952744801492686 324
0.9952782224818479 350
0.9952815419369089 377
0.9952844998894723 405
0.9952871469737923 434
0.9952895252618972 464
0.9952916699436312 495
0.9952936106344111 527
0.9952953724020328 560
0.9952969765794619 594
0.9952984414130803 629
0.9952997825833925 665
0.9953010136260710 702
0.9953021462745605 740
0.9953031907405028 779
0.9953041559445527 819
# Simpson approximation to the erf
#m I NFCOUNT
2 0.1124629189102767 3
0.1124629161989342 12
2 0.2227026774014270 3
0.2227025947104221 12
2 0.3286273767834766 3
0.3286267978594243 12
3 0.4283946701925382 3
0.4283924985891769 12
0.4283923833590167 27
3 0.5205059300563946 3
0.5205002517165893 12
0.5204999515136238 27
3 0.6038684488349952 3
0.6038568517988426 12
0.6038562407498304 27
4 0.6778220293427302 3
0.6778024742236171 12
0.6778014459701497 27
0.6778012735274335 48
4 0.7421306950872133 3
0.7421027937228478 12
0.7421013249315845 27
0.7421010785671586 48
4 0.7969441044805134 3
0.7969104383294743 12
0.7969086513812516 27
0.7969083512297214 48
4 0.8427360513893569 3
0.8427030358459557 12
0.8427012370422560 27
0.8427009335720541 48
4 0.8802288913469480 3
0.8802067283387971 12
0.8802054024368055 27
0.8802051754499035 48
3 0.9103128312964931 3
0.9103143004280538 12
0.9103140542640686 27
4 0.9339679770935783 3
0.9340061493726342 12
0.9340076127668115 27
0.9340078422632526 48
4 0.9521952150729782 3
0.9522805445789922 12
0.9522842503524664 27
0.9522848483878766 48
5 0.9659598333620332 3
0.9660973870056559 12
0.9661036591914535 27
0.9661046808336961 48
0.9661049566793428 75
5 0.9761496508821045 3
0.9763373857065455 12
0.9763462636098168 27
0.9763477184330965 48
0.9763481120900510 75
5 0.9835476041842361 3
0.9837765468324304 12
0.9837877631844121 27
0.9837896116380519 48
0.9837901127990957 75
5 0.9888174055669833 3
0.9890743335623814 12
0.9890873508498124 27
0.9890895097044249 48
0.9890900963032876 75
5 0.9925000708660442 3
0.9927728936636684 12
0.9927869882917626 27
0.9927893435092505 48
0.9927899851235695 75
5 0.9950187699878486 3
0.9953043459503328 12
0.9953187193744605 27
0.9953211432008255 48
0.9953218055791407 75
# Romberg approximation to the erf
#m I NFCOUNT
8 0.2245530773884450 2
0.2253940909521532 6
0.0748502365242274 12
0.1178361530537865 22
0.1121047004088513 40
0.1124744713605113 74
0.1124627326001546 140
0.1124629174625219 270
8 0.4425027908400752 2
0.4491061547768900 6
0.1474760642846159 12
0.2334491474101031 22
0.2219861578925558 40
0.2227256998965536 74
0.2227022223742171 140
0.2227025920989529 270
8 0.6478920230143428 2
0.6694959881239011 6
0.2157800076915134 12
0.3447471062559231 22
0.3275521110709818 40
0.3286614255118031 74
0.3286262092047132 140
0.3286267637918384 270
8 0.8359681863739281 2
0.8850055816801503 6
0.2779081438153903 12
0.4498877817244475 22
0.4269594824838902 40
0.4284385765880244 74
0.4283916213738912 140
0.4283923608236176 270
8 1.0035808730154787 2
1.0941966482358134 6
0.3323471436355860 12
0.5473727776255264 22
0.5187087604602187 40
0.5205576552088070 74
0.5204989607209681 140
0.5204998850342389 270
9 1.1493735592858800 2
1.2957840460286856 6
0.3779944405223226 12
0.6361096567970278 22
0.6017066922241193 40
0.6039254247584901 74
0.6038549903345181 140
0.6038560995133680 270
0.6038560908139446 528
9 1.2737578192542358 2
1.4886640154680859 6
0.4141968841533171 12
0.7154380669546732 22
0.6752934871242406 40
0.6778820846806158 74
0.6777999099032364 140
0.6778012039471054 270
0.6778011937977750 528
9 1.3786919626823853 2
1.6719363727478562 6
0.4407562591209278 12
0.7851204113924187 22
0.7392350224684329 40
0.7421934105709327 74
0.7420994973748799 140
0.7421009762614575 270
0.7421009646623500 528
9 1.4673129672022878 2
1.8449200620969592 6
0.4579030898246598 12
0.8453015839432600 22
0.7936844034874111 40
0.7970122040094264 74
0.7969065617920660 140
0.7969082254201054 270
0.7969082123718619 528
9 1.5434866645161074 2
2.0071617460309570 6
0.4662428837038955 12
0.8964453255309340 22
0.8391201219295820 40
0.8428163039611192 74
0.8426989593278318 140
0.8427008073884296 270
0.8427007928930892 528
9 1.6113446413776327 2
2.1584373958256671 6
0.4666811065155338 12
0.9392564880185195 22
0.8762696688227550 40
0.8803320413282147 74
0.8802030537091289 140
0.8802050854489967 270
0.8802050695118201 528
9 1.6748682169188622 2
2.2987471185717601 6
0.4603345475635405 12
0.9745988012733398 22
0.9060277195195975 40
0.9104522985349349 74
0.9103117816742995 140
0.9103139955292602 270
0.9103139781617746 528
9 1.7375633000590569 2
2.4283037096006299 6
0.4484372368516160 12
1.0034167623374151 22
0.9293770858753002 40
0.9341574233274502 74
0.9340055705262130 140
0.9340079636429860 270
0.9340079448672856 528
9 1.8022492246819068 2
2.5475156385084716 6
0.4322487450045636 12
1.0266683210964977 22
0.9473188499823789 40
0.9524454638405148 74
0.9522825721005944 140
0.9522851398303421 270
0.9522851196839234 528
9 1.8709641844787130 2
2.6569653544360801 6
0.4129716499013168 12
1.0452725536132739 22
0.9608158650573410 40
0.9662759468418267 74
0.9661024323234300 140
0.9661051678519494 270
0.9661051463914667 528
9 1.9449731611671326 2
2.7573839253647709 6
0.3916833804441127 12
1.0600739405433972 22
0.9707515336774789 40
0.9765291163121864 74
0.9763455115988416 140
0.9763484059550627 270
0.9763483832560074 528
9 2.0248533529070478 2
2.8496231035541433 6
0.3692857752019932 12
1.0718225915204291 22
0.9779037772614964 40
0.9839805162298370 74
0.9837874396197659 140
0.9837904823493026 270
0.9837904584976862 528
9 2.1106276027695428 2
2.9346259344045755 6
0.3464737546599661 12
1.0811680482574684 22
0.9829326025297255 40
0.9892892567359211 74
0.9890873456882799 140
0.9890905264666163 270
0.9890905015384294 528
9 2.2019174243088249 2
3.0133970012883204 6
0.3237227093155621 12
1.0886632889106820 22
0.9863787339396511 40
0.9929973387248884 74
0.9927871437333449 140
0.9927904551089592 270
0.9927904291336130 528
9 2.2980923048992090 2
3.0869733290322148 6
0.3012927145346942 12
1.0947752372525492 22
0.9886703901561500 40
0.9955370096994510 74
0.9953188507021857 140
0.9953222920060751 270
0.9953222649120909 528
# Trapezoidal approximation to Pi integral
#m I NFCOUNT
70 3.0000000000000000 2
3.1000000000000001 5
3.1230769230769226 9
3.1311764705882354 14
3.1349261138109901 20
3.1369630664712629 27
3.1381913099070275 35
3.1389884944910889 44
3.1395350441542824 54
3.1399259889071591 65
3.1402152442414257 77
3.1404352468468506 90
3.1406064607069641 104
3.1407423137172481 119
3.1408519130232397 135
3.1409416120413889 152
3.1410159524032508 170
3.1410782503559465 189
3.1411309731148851 209
3.1411759869541287 230
3.1412147246635698 252
3.1412483009902132 275
3.1412775937418225 299
3.1413033017483247 324
3.1413259869312538 350
3.1413461052727452 377
3.1413640299095005 405
3.1413800685598963 434
3.1413944768194462 464
3.1414074684073303 495
3.1414192231376399 527
3.1414298931749749 560
3.1414396079837381 594
3.1414484782738921 629
3.1414565991691039 665
3.1414640527676596 702
3.1414709102255802 740
3.1414772334611811 779
3.1414830765577029 819
3.1414884869236115 860
3.1414935062572735 902
3.1414981713528158 945
3.1415025147763336 989
3.1415065654357961 1034
3.1415103490632839 1080
3.1415138886246585 1127
3.1415172046688964 1175
3.1415203156269929 1224
3.1415232380686260 1274
3.1415259869232539 1325
3.1415285756711571 1377
3.1415310165090262 1430
3.1415333204938816 1484
3.1415354976685208 1539
3.1415375571711333 1595
3.1415395073313537 1652
3.1415413557546206 1710
3.1415431093964252 1769
3.1415447746278558 1829
3.1415463572935387 1890
3.1415478627629931 1952
3.1415492959762310 2015
3.1415506614843403 2079
3.1415519634856541 2144
3.1415532058580635 2210
3.1415543921879201 2277
3.1415555257959480 2345
3.1415566097605172 2414
3.1415576469385478 2484
3.1415586399843689 2555
# Simpson approximation to the Pi integral
#m I NFCOUNT
3 3.1415686274509804 3
3.1415925024587068 12
3.1415926403053800 27
# Romberg approximation to the integral of Pi
#m I NFCOUNT
9 6.0000000000000000 2
7.1999999999999993 6
1.8164705882352941 12
3.3309229187851690 22
3.1289671993131503 40
3.1420001278789473 74
3.1415861803036051 140
3.1415927046311691 270
3.1415926533890683 528
