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Annotation of OpenXM_contrib2/asir2018/fft/fft_primes.c, Revision 1.1

1.1     ! noro        1: /*
        !             2:  * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
        !             3:  * All rights reserved.
        !             4:  *
        !             5:  * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
        !             6:  * non-exclusive and royalty-free license to use, copy, modify and
        !             7:  * redistribute, solely for non-commercial and non-profit purposes, the
        !             8:  * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
        !             9:  * conditions of this Agreement. For the avoidance of doubt, you acquire
        !            10:  * only a limited right to use the SOFTWARE hereunder, and FLL or any
        !            11:  * third party developer retains all rights, including but not limited to
        !            12:  * copyrights, in and to the SOFTWARE.
        !            13:  *
        !            14:  * (1) FLL does not grant you a license in any way for commercial
        !            15:  * purposes. You may use the SOFTWARE only for non-commercial and
        !            16:  * non-profit purposes only, such as academic, research and internal
        !            17:  * business use.
        !            18:  * (2) The SOFTWARE is protected by the Copyright Law of Japan and
        !            19:  * international copyright treaties. If you make copies of the SOFTWARE,
        !            20:  * with or without modification, as permitted hereunder, you shall affix
        !            21:  * to all such copies of the SOFTWARE the above copyright notice.
        !            22:  * (3) An explicit reference to this SOFTWARE and its copyright owner
        !            23:  * shall be made on your publication or presentation in any form of the
        !            24:  * results obtained by use of the SOFTWARE.
        !            25:  * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
        !            26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
        !            27:  * for such modification or the source code of the modified part of the
        !            28:  * SOFTWARE.
        !            29:  *
        !            30:  * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
        !            31:  * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
        !            32:  * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
        !            33:  * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
        !            34:  * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
        !            35:  * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
        !            36:  * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
        !            37:  * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
        !            38:  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
        !            39:  * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
        !            40:  * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
        !            41:  * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
        !            42:  * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
        !            43:  * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
        !            44:  * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
        !            45:  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
        !            46:  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
        !            47:  *
        !            48:  * $OpenXM$
        !            49: */
        !            50: #include "dft.h"
        !            51:
        !            52: struct PrimesS Primes[NPrimes+1] = {
        !            53: #if !defined(USE_FLOAT)
        !            54: {536813569,234750831,29,13},
        !            55: {536752129,402492685,29,12},
        !            56: {536743937,186329165,29,12},
        !            57: {536719361,95378865,29,12},
        !            58: {536702977,245581677,29,12},
        !            59: {536690689,9739040,29,14},
        !            60: {536641537,295492251,29,15},
        !            61: {536616961,393690063,29,13},
        !            62: {536608769,291010677,29,18},
        !            63: {536596481,103014380,29,12},
        !            64: {536547329,239759961,29,12},
        !            65: {536543233,236837218,29,16},
        !            66: {536494081,476075671,29,14},
        !            67: {536399873,298259227,29,12},
        !            68: {536383489,405349448,29,12},
        !            69: {536375297,202365348,29,12},
        !            70: {536350721,181497148,29,12},
        !            71: {536338433,331699927,29,13},
        !            72: {536322049,263663385,29,13},
        !            73: {536272897,151749197,29,13},
        !            74: {536260609,3883278,29,12},
        !            75: {536215553,360579775,29,17},
        !            76: {536174593,172073969,29,13},
        !            77: {536166401,94615858,29,14},
        !            78: {536137729,535865804,29,12},
        !            79: {536129537,413425539,29,12},
        !            80: {536113153,237345802,29,12},
        !            81: {536092673,213571388,29,13},
        !            82: {536027137,26178280,29,13},
        !            83: {536002561,531281091,29,14},
        !            84: {535982081,257807731,29,12},
        !            85: {535965697,19015705,29,12},
        !            86: {535920641,394768681,29,15},
        !            87: {535797761,30231376,29,13},
        !            88: {535756801,373046537,29,16},
        !            89: {535719937,205344434,29,12},
        !            90: {535699457,247444914,29,13},
        !            91: {535687169,109462788,29,12},
        !            92: {535621633,212917624,29,12},
        !            93: {535597057,54912267,29,12},
        !            94: {535576577,138342549,29,14},
        !            95: {535515137,167040109,29,12},
        !            96: {535490561,218849557,29,12},
        !            97: {535461889,10973144,29,15},
        !            98: {535453697,30144640,29,13},
        !            99: {535449601,299267429,29,12},
        !           100: {535326721,48662331,29,12},
        !           101: {535318529,507537577,29,12},
        !           102: {535232513,151198643,29,16},
        !           103: {535203841,310252406,29,12},
        !           104: {535183361,441637121,29,14},
        !           105: {535142401,41736754,29,13},
        !           106: {535121921,24248074,29,12},
        !           107: {535109633,365538970,29,13},
        !           108: {535105537,338724195,29,12},
        !           109: {535093249,27780626,29,13},
        !           110: {535048193,367851802,29,12},
        !           111: {535023617,108512195,29,12},
        !           112: {534970369,92919075,29,16},
        !           113: {534949889,250488631,29,12},
        !           114: {534896641,8561888,29,13},
        !           115: {534888449,499592811,29,14},
        !           116: {534827009,89412539,29,12},
        !           117: {534724609,192565215,29,14},
        !           118: {534630401,313575656,29,12},
        !           119: {534519809,233654795,29,13},
        !           120: {534491137,49493188,29,12},
        !           121: {534478849,407005633,29,15},
        !           122: {534458369,56761679,29,12},
        !           123: {534433793,5912048,29,12},
        !           124: {534323201,286981770,29,13},
        !           125: {534294529,64209761,29,12},
        !           126: {534274049,399311455,29,13},
        !           127: {534224897,369824991,29,13},
        !           128: {534122497,400238577,29,12},
        !           129: {534102017,430622136,29,14},
        !           130: {534089729,276923246,29,12},
        !           131: {534085633,410141529,29,15},
        !           132: {534061057,451409458,29,13},
        !           133: {534024193,55721226,29,12},
        !           134: {533962753,446702722,29,13},
        !           135: {533905409,398786932,29,14},
        !           136: {533880833,525382882,29,13},
        !           137: {533790721,514717025,29,16},
        !           138: {533757953,519091809,29,15},
        !           139: {533692417,355249309,29,15},
        !           140: {533671937,467815537,29,12},
        !           141: {533549057,265081597,29,12},
        !           142: {533512193,504066982,29,14},
        !           143: {533471233,317623602,29,13},
        !           144: {533463041,13956582,29,18},
        !           145: {533426177,283734551,29,12},
        !           146: {533389313,496917437,29,13},
        !           147: {533372929,61947542,29,13},
        !           148: {533364737,96276431,29,15},
        !           149: {533348353,140156098,29,14},
        !           150: {533286913,397631479,29,12},
        !           151: {533278721,968437,29,12},
        !           152: {533241857,225492331,29,13},
        !           153: {533082113,365456005,29,12},
        !           154: {533041153,54952045,29,12},
        !           155: {532996097,381636357,29,13},
        !           156: {532992001,113979610,29,12},
        !           157: {532983809,420752168,29,12},
        !           158: {532959233,466760849,29,12},
        !           159: {532942849,260450629,29,12},
        !           160: {532930561,500039725,29,13},
        !           161: {532873217,206165893,29,16},
        !           162: {532860929,384848392,29,12},
        !           163: {532856833,177804426,29,14},
        !           164: {532787201,35516007,29,12},
        !           165: {532746241,390580365,29,12},
        !           166: {532738049,187427241,29,12},
        !           167: {532709377,271440396,29,15},
        !           168: {532541441,186617938,29,12},
        !           169: {532500481,401817699,29,12},
        !           170: {532451329,67560915,29,12},
        !           171: {532389889,370398874,29,13},
        !           172: {532357121,91402460,29,13},
        !           173: {532283393,332791262,29,17},
        !           174: {532267009,309964764,29,14},
        !           175: {532258817,76655285,29,13},
        !           176: {532193281,519383107,29,13},
        !           177: {532160513,192671188,29,13},
        !           178: {531910657,174287749,29,12},
        !           179: {531886081,68947091,29,12},
        !           180: {531767297,48982485,29,13},
        !           181: {531763201,62929312,29,12},
        !           182: {531750913,31507349,29,13},
        !           183: {531726337,354320699,29,15},
        !           184: {531701761,13466183,29,13},
        !           185: {531652609,378858479,29,13},
        !           186: {531628033,431112292,29,20},
        !           187: {531582977,145978450,29,12},
        !           188: {531578881,380511470,29,14},
        !           189: {531542017,224186811,29,12},
        !           190: {531443713,182796718,29,12},
        !           191: {531394561,224003911,29,12},
        !           192: {531161089,458901437,29,13},
        !           193: {531005441,480568876,29,15},
        !           194: {530993153,64256406,29,12},
        !           195: {530989057,389241417,29,14},
        !           196: {530952193,158449753,29,12},
        !           197: {530890753,382883181,29,14},
        !           198: {530870273,351805988,29,12},
        !           199: {530780161,128073820,29,12},
        !           200: {530767873,421524092,29,13},
        !           201: {530759681,99667442,29,14},
        !           202: {530706433,334734263,29,12},
        !           203: {530698241,59124544,29,12},
        !           204: {530649089,27137761,29,12},
        !           205: {530595841,373602035,29,14},
        !           206: {530546689,75947392,29,15},
        !           207: {530526209,443629729,29,12},
        !           208: {530464769,309461624,29,14},
        !           209: {530423809,489388995,29,13},
        !           210: {530362369,162078175,29,12},
        !           211: {530354177,155102383,29,12},
        !           212: {530276353,280548312,29,13},
        !           213: {530145281,203735144,29,13},
        !           214: {530010113,105794167,29,12},
        !           215: {529985537,245095103,29,12},
        !           216: {529960961,112843371,29,12},
        !           217: {529944577,31484364,29,12},
        !           218: {529932289,422300857,29,13},
        !           219: {529924097,240319971,29,17},
        !           220: {529907713,249806358,29,14},
        !           221: {529899521,171407680,29,13},
        !           222: {529887233,451762810,29,12},
        !           223: {529821697,399291405,29,12},
        !           224: {529809409,334691335,29,14},
        !           225: {529735681,177639985,29,13},
        !           226: {529727489,499429834,29,16},
        !           227: {529715201,304468764,29,12},
        !           228: {529702913,188606745,29,13},
        !           229: {529686529,155936968,29,13},
        !           230: {529678337,347960918,29,14},
        !           231: {529420289,443500355,29,12},
        !           232: {529391617,387255982,29,13},
        !           233: {529285121,475338991,29,14},
        !           234: {529268737,447629271,29,18},
        !           235: {529186817,144350398,29,14},
        !           236: {529182721,17103434,29,12},
        !           237: {529149953,324500000,29,12},
        !           238: {529145857,194451981,29,13},
        !           239: {529088513,496830832,29,14},
        !           240: {529084417,527528913,29,12},
        !           241: {529039361,236831843,29,15},
        !           242: {528986113,391026449,29,12},
        !           243: {528977921,244430624,29,12},
        !           244: {528916481,372519085,29,13},
        !           245: {528867329,125235345,29,13},
        !           246: {528818177,42558244,29,13},
        !           247: {528777217,416856100,29,15},
        !           248: {528752641,407110945,29,13},
        !           249: {528703489,78929261,29,13},
        !           250: {528691201,37070795,29,12},
        !           251: {528670721,205306859,29,13},
        !           252: {528633857,347691021,29,12},
        !           253: {528617473,284420112,29,12},
        !           254: {528609281,446362415,29,12},
        !           255: {528531457,301183141,29,14},
        !           256: {528519169,362135674,29,12},
        !           257: {528445441,252891858,29,12},
        !           258: {528437249,320488771,29,12},
        !           259: {528424961,388431539,29,13},
        !           260: {528408577,125859191,29,13},
        !           261: {528351233,123238771,29,17},
        !           262: {528347137,240359114,29,12},
        !           263: {528310273,99523343,29,13},
        !           264: {528265217,274448847,29,12},
        !           265: {528252929,205552633,29,15},
        !           266: {528228353,49731311,29,13},
        !           267: {528138241,222497944,29,14},
        !           268: {528064513,353564525,29,13},
        !           269: {527994881,258610070,29,12},
        !           270: {527941633,153777954,29,14},
        !           271: {527921153,341143862,29,12},
        !           272: {527917057,119139095,29,13},
        !           273: {527880193,215363327,29,12},
        !           274: {527859713,282970170,29,15},
        !           275: {527855617,70974912,29,12},
        !           276: {527831041,105259710,29,12},
        !           277: {527810561,153035633,29,14},
        !           278: {527794177,263292489,29,15},
        !           279: {527708161,478454952,29,12},
        !           280: {527650817,415227696,29,12},
        !           281: {527634433,106482314,29,12},
        !           282: {527585281,12710015,29,12},
        !           283: {527572993,182147065,29,13},
        !           284: {527527937,386656498,29,12},
        !           285: {527491073,177859742,29,13},
        !           286: {527441921,498832354,29,13},
        !           287: {527380481,283989651,29,12},
        !           288: {527351809,185527120,29,14},
        !           289: {527339521,238901903,29,12},
        !           290: {527269889,476081970,29,15},
        !           291: {527241217,509929638,29,12},
        !           292: {527220737,271149489,29,14},
        !           293: {527196161,449736588,29,13},
        !           294: {527167489,393867039,29,12},
        !           295: {527155201,93845502,29,14},
        !           296: {527093761,355183528,29,12},
        !           297: {527081473,359281197,29,13},
        !           298: {527024129,95834835,29,14},
        !           299: {527020033,128632586,29,12},
        !           300: {527011841,169675989,29,12},
        !           301: {526999553,510223322,29,13},
        !           302: {526970881,496538016,29,12},
        !           303: {526934017,143107519,29,13},
        !           304: {526876673,510218342,29,15},
        !           305: {526852097,245591409,29,13},
        !           306: {526835713,288297328,29,13},
        !           307: {526766081,22756703,29,12},
        !           308: {526712833,209744801,29,16},
        !           309: {526675969,462001796,29,12},
        !           310: {526651393,460697964,29,12},
        !           311: {526594049,503479282,29,12},
        !           312: {526544897,384456574,29,12},
        !           313: {526508033,205234254,29,13},
        !           314: {526503937,93161865,29,12},
        !           315: {526483457,120945568,29,15},
        !           316: {526381057,426362406,29,12},
        !           317: {526368769,498498502,29,14},
        !           318: {526360577,197358724,29,13},
        !           319: {526344193,203866875,29,13},
        !           320: {526336001,353505783,29,14},
        !           321: {526163969,268968679,29,13},
        !           322: {526135297,33009686,29,12},
        !           323: {526123009,492037862,29,18},
        !           324: {526090241,38097857,29,15},
        !           325: {526053377,359192783,29,12},
        !           326: {526036993,234709340,29,12},
        !           327: {525987841,192176488,29,12},
        !           328: {525950977,271971370,29,13},
        !           329: {525938689,70147530,29,12},
        !           330: {525918209,153170577,29,13},
        !           331: {525893633,497323780,29,15},
        !           332: {525889537,241240955,29,12},
        !           333: {525803521,78691063,29,13},
        !           334: {525770753,345150326,29,13},
        !           335: {525729793,235231490,29,17},
        !           336: {525721601,359269745,29,13},
        !           337: {525705217,451424637,29,13},
        !           338: {525684737,267601195,29,12},
        !           339: {525643777,54720536,29,12},
        !           340: {525570049,151940388,29,12},
        !           341: {525561857,55823294,29,12},
        !           342: {525545473,280285844,29,12},
        !           343: {525508609,65551431,29,13},
        !           344: {525463553,511761474,29,12},
        !           345: {525434881,100562391,29,15},
        !           346: {525426689,377726848,29,13},
        !           347: {525422593,418306078,29,12},
        !           348: {525414401,103217264,29,12},
        !           349: {525365249,519167561,29,12},
        !           350: {525316097,244029759,29,12},
        !           351: {525275137,414582674,29,12},
        !           352: {525213697,414228473,29,13},
        !           353: {525176833,31893173,29,12},
        !           354: {525156353,213871233,29,14},
        !           355: {525078529,170709396,29,12},
        !           356: {525053953,156546501,29,12},
        !           357: {525045761,121241554,29,12},
        !           358: {525033473,171046279,29,13},
        !           359: {524943361,444157350,29,17},
        !           360: {524906497,451780592,29,12},
        !           361: {524824577,490936372,29,12},
        !           362: {524812289,445426994,29,19},
        !           363: {524771329,153636156,29,13},
        !           364: {524763137,262558621,29,14},
        !           365: {524726273,151796782,29,12},
        !           366: {524640257,330310672,29,13},
        !           367: {524615681,297952425,29,16},
        !           368: {524587009,345295489,29,12},
        !           369: {524562433,364352915,29,12},
        !           370: {524554241,8035532,29,12},
        !           371: {524476417,521255175,29,13},
        !           372: {524455937,161466684,29,12},
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        !          13149: {18497537,16822292,25,14},
        !          13150: {18485249,13090358,25,12},
        !          13151: {18444289,17577781,25,12},
        !          13152: {18436097,2181254,25,12},
        !          13153: {18411521,9302083,25,12},
        !          13154: {18399233,11742310,25,14},
        !          13155: {18395137,6504692,25,12},
        !          13156: {18382849,4768307,25,15},
        !          13157: {18362369,4997333,25,12},
        !          13158: {18358273,14151936,25,13},
        !          13159: {18333697,613674,25,14},
        !          13160: {18210817,4893098,25,13},
        !          13161: {18149377,1386673,25,12},
        !          13162: {18137089,6086338,25,14},
        !          13163: {18128897,8796061,25,13},
        !          13164: {18075649,4470497,25,12},
        !          13165: {18063361,12917181,25,13},
        !          13166: {18014209,9024903,25,13},
        !          13167: {18006017,17275860,25,14},
        !          13168: {17907713,2337975,25,14},
        !          13169: {17879041,3180962,25,12},
        !          13170: {17846273,3915742,25,12},
        !          13171: {17797121,5563562,25,12},
        !          13172: {17735681,15984578,25,13},
        !          13173: {17719297,14250295,25,13},
        !          13174: {17707009,12860803,25,12},
        !          13175: {17633281,5270843,25,12},
        !          13176: {17584129,601934,25,12},
        !          13177: {17575937,2256366,25,12},
        !          13178: {17522689,8541831,25,13},
        !          13179: {17448961,7495643,25,14},
        !          13180: {17440769,9851282,25,13},
        !          13181: {17416193,14176791,25,14},
        !          13182: {17391617,9085440,25,13},
        !          13183: {17375233,5625373,25,13},
        !          13184: {17367041,277979,25,16},
        !          13185: {17276929,1682011,25,13},
        !          13186: {17264641,4490415,25,12},
        !          13187: {17252353,13118611,25,14},
        !          13188: {17231873,7515831,25,12},
        !          13189: {17182721,7753846,25,12},
        !          13190: {17129473,1462559,25,13},
        !          13191: {17059841,4332185,25,12},
        !          13192: {17010689,3873738,25,12},
        !          13193: {17006593,7620586,25,15},
        !          13194: {16986113,5278095,25,12},
        !          13195: {16957441,13851359,25,14},
        !          13196: {16900097,15478463,25,13},
        !          13197: {16863233,16522103,25,12},
        !          13198: {16801793,8125281,25,13},
        !          13199: #endif
        !          13200: {16760833,15385313,24,14},
        !          13201: {16736257,894396,24,13},
        !          13202: {16699393,12391510,24,12},
        !          13203: {16674817,16070823,24,12},
        !          13204: {16650241,2033650,24,12},
        !          13205: {16617473,1584607,24,12},
        !          13206: {16592897,5788011,24,12},
        !          13207: {16588801,10844155,24,13},
        !          13208: {16580609,7695644,24,16},
        !          13209: {16519169,11699175,24,12},
        !          13210: {16515073,8155929,24,18},
        !          13211: {16494593,11634973,24,12},
        !          13212: {16490497,2089355,24,13},
        !          13213: {16465921,13999142,24,14},
        !          13214: {16384001,4442161,24,17},
        !          13215: {16371713,585249,24,12},
        !          13216: {16355329,14233877,24,12},
        !          13217: {16293889,7920498,24,13},
        !          13218: {16269313,2633325,24,14},
        !          13219: {16261121,11780226,24,13},
        !          13220: {16244737,11322917,24,13},
        !          13221: {16125953,6318182,24,12},
        !          13222: {16121857,4312778,24,17},
        !          13223: {16064513,3343146,24,13},
        !          13224: {16015361,12023039,24,13},
        !          13225: {15998977,8897606,24,13},
        !          13226: {15978497,15463745,24,12},
        !          13227: {15974401,14066128,24,14},
        !          13228: {15962113,7638639,24,12},
        !          13229: {15941633,1629555,24,14},
        !          13230: {15900673,15838252,24,13},
        !          13231: {15831041,13530587,24,12},
        !          13232: {15818753,10863350,24,13},
        !          13233: {15790081,4013339,24,12},
        !          13234: {15781889,6959691,24,12},
        !          13235: {15732737,13994878,24,12},
        !          13236: {15630337,9264567,24,15},
        !          13237: {15618049,1044748,24,12},
        !          13238: {15605761,2403399,24,13},
        !          13239: {15572993,5893184,24,13},
        !          13240: {15556609,9768391,24,13},
        !          13241: {15548417,4594039,24,14},
        !          13242: {15523841,2611339,24,13},
        !          13243: {15511553,9493849,24,12},
        !          13244: {15474689,14918107,24,13},
        !          13245: {15470593,866181,24,12},
        !          13246: {15372289,8878164,24,12},
        !          13247: {15298561,7158125,24,12},
        !          13248: {15228929,7604317,24,13},
        !          13249: {15200257,12142870,24,12},
        !          13250: {15167489,12857562,24,12},
        !          13251: {15052801,1396852,24,12},
        !          13252: {14970881,4735165,24,12},
        !          13253: {14942209,5661070,24,18},
        !          13254: {14909441,11620785,24,15},
        !          13255: {14893057,11006052,24,14},
        !          13256: {14880769,5343498,24,12},
        !          13257: {14872577,10813522,24,12},
        !          13258: {14831617,5393565,24,12},
        !          13259: {14774273,2974985,24,12},
        !          13260: {14770177,14087359,24,13},
        !          13261: {14749697,13347112,24,12},
        !          13262: {14684161,7255080,24,12},
        !          13263: {14663681,11275756,24,14},
        !          13264: {14651393,6141891,24,12},
        !          13265: {14610433,7729920,24,12},
        !          13266: {14499841,14408404,24,14},
        !          13267: {14438401,5911408,24,12},
        !          13268: {14430209,5625637,24,12},
        !          13269: {14344193,12061774,24,13},
        !          13270: {14340097,6632467,24,12},
        !          13271: {14307329,6964289,24,12},
        !          13272: {14282753,9346124,24,12},
        !          13273: {14258177,10061122,24,12},
        !          13274: {14241793,7228958,24,12},
        !          13275: {14196737,2482955,24,13},
        !          13276: {14172161,380693,24,14},
        !          13277: {14155777,8046887,24,19},
        !          13278: {14123009,1341319,24,15},
        !          13279: {14118913,2671262,24,12},
        !          13280: {14110721,10530474,24,12},
        !          13281: {14036993,7346962,24,12},
        !          13282: {14012417,7892259,24,12},
        !          13283: {13877249,6369623,24,14},
        !          13284: {13811713,6667098,24,14},
        !          13285: {13766657,6784592,24,12},
        !          13286: {13754369,7148271,24,13},
        !          13287: {13664257,9731810,24,15},
        !          13288: {13631489,11496326,24,20},
        !          13289: {13606913,8007054,24,13},
        !          13290: {13578241,8766224,24,12},
        !          13291: {13570049,9000364,24,12},
        !          13292: {13565953,7151880,24,16},
        !          13293: {13541377,1982551,24,13},
        !          13294: {13496321,6492324,24,12},
        !          13295: {13381633,8369392,24,12},
        !          13296: {13344769,9635903,24,13},
        !          13297: {13336577,103081,24,15},
        !          13298: {13332481,13250246,24,12},
        !          13299: {13312001,12591683,24,13},
        !          13300: {13283329,2849273,24,12},
        !          13301: {13238273,3192219,24,17},
        !          13302: {13197313,9010336,24,13},
        !          13303: {13152257,577700,24,12},
        !          13304: {13135873,8462754,24,12},
        !          13305: {13074433,1101900,24,15},
        !          13306: {13066241,1976206,24,13},
        !          13307: {13037569,1760126,24,12},
        !          13308: {13029377,4604716,24,12},
        !          13309: {13004801,8045034,24,12},
        !          13310: {12931073,10246032,24,12},
        !          13311: {12906497,1231143,24,12},
        !          13312: {12902401,11642758,24,13},
        !          13313: {12865537,3413796,24,12},
        !          13314: {12820481,229364,24,13},
        !          13315: {12808193,7867856,24,12},
        !          13316: {12771329,11546108,24,13},
        !          13317: {12767233,3437574,24,12},
        !          13318: {12759041,12155813,24,12},
        !          13319: {12685313,5781253,24,12},
        !          13320: {12681217,8960683,24,15},
        !          13321: {12644353,3911032,24,12},
        !          13322: {12623873,2716382,24,13},
        !          13323: {12599297,11930674,24,14},
        !          13324: {12587009,2233783,24,12},
        !          13325: {12521473,10409035,24,12},
        !          13326: {12484609,6428742,24,15},
        !          13327: {12451841,561305,24,17},
        !          13328: {12390401,1102023,24,12},
        !          13329: {12361729,11556424,24,13},
        !          13330: {12230657,6891814,24,13},
        !          13331: {12226561,11504852,24,12},
        !          13332: {12214273,10773316,24,13},
        !          13333: {12206081,3877133,24,14},
        !          13334: {12193793,11751495,24,12},
        !          13335: {12177409,3036057,24,12},
        !          13336: {12128257,1897959,24,12},
        !          13337: {12115969,1576393,24,13},
        !          13338: {12070913,3022754,24,12},
        !          13339: {12046337,4952418,24,12},
        !          13340: {12042241,4875103,24,14},
        !          13341: {12021761,10528529,24,12},
        !          13342: {11919361,6925701,24,13},
        !          13343: {11907073,11731243,24,12},
        !          13344: {11898881,11382703,24,12},
        !          13345: {11886593,6577348,24,13},
        !          13346: {11759617,11117826,24,12},
        !          13347: {11677697,3600672,24,12},
        !          13348: {11673601,2087472,24,13},
        !          13349: {11653121,3149362,24,12},
        !          13350: {11624449,6665188,24,13},
        !          13351: {11599873,2984692,24,16},
        !          13352: {11591681,4318356,24,13},
        !          13353: {11575297,11322098,24,13},
        !          13354: {11517953,9879665,24,14},
        !          13355: {11501569,4653893,24,15},
        !          13356: {11468801,6791298,24,16},
        !          13357: {11456513,4163664,24,12},
        !          13358: {11370497,2643173,24,15},
        !          13359: {11358209,6395865,24,12},
        !          13360: {11345921,10944876,24,13},
        !          13361: {11309057,10192023,24,12},
        !          13362: {11304961,9184073,24,15},
        !          13363: {11272193,1584196,24,18},
        !          13364: {11186177,6228374,24,12},
        !          13365: {11169793,2829783,24,12},
        !          13366: {11112449,7841834,24,12},
        !          13367: {11087873,2968330,24,12},
        !          13368: {11059201,417592,24,14},
        !          13369: {11046913,7826769,24,12},
        !          13370: {11038721,5171441,24,12},
        !          13371: {10997761,1783401,24,12},
        !          13372: {10989569,408203,24,12},
        !          13373: {10940417,3124940,24,12},
        !          13374: {10924033,6355830,24,12},
        !          13375: {10842113,6101455,24,12},
        !          13376: {10838017,5003722,24,13},
        !          13377: {10780673,8986326,24,15},
        !          13378: {10739713,9167074,24,13},
        !          13379: {10715137,254064,24,15},
        !          13380: {10702849,8282283,24,12},
        !          13381: {10678273,2432584,24,12},
        !          13382: {10629121,8595471,24,12},
        !          13383: {10579969,6552101,24,12},
        !          13384: {10571777,10032709,24,12},
        !          13385: {10559489,4949614,24,13},
        !          13386: {10534913,1615896,24,14},
        !          13387: {10498049,3664327,24,12},
        !          13388: {10493953,7301118,24,13},
        !          13389: {10473473,5284356,24,12},
        !          13390: {10457089,111567,24,12},
        !          13391: {10444801,492256,24,13},
        !          13392: {10436609,4483499,24,14},
        !          13393: {10383361,3110859,24,12},
        !          13394: {10362881,7608509,24,13},
        !          13395: {10334209,2748609,24,12},
        !          13396: {10223617,10025497,24,18},
        !          13397: {10186753,4128819,24,12},
        !          13398: {10162177,2250627,24,12},
        !          13399: {10076161,9845213,24,14},
        !          13400: {10067969,3656282,24,13},
        !          13401: {10063873,6162645,24,12},
        !          13402: {10039297,5471577,24,12},
        !          13403: {10027009,5891267,24,16},
        !          13404: {9920513,4349134,24,13},
        !          13405: {9834497,6577428,24,12},
        !          13406: {9781249,3514139,24,14},
        !          13407: {9760769,9239094,24,12},
        !          13408: {9732097,2795413,24,15},
        !          13409: {9711617,2390345,24,12},
        !          13410: {9695233,5965274,24,12},
        !          13411: {9646081,5580445,24,12},
        !          13412: {9588737,4680061,24,12},
        !          13413: {9547777,4702710,24,12},
        !          13414: {9502721,8985261,24,16},
        !          13415: {9453569,5656909,24,14},
        !          13416: {9441281,559895,24,12},
        !          13417: {9392129,8141488,24,12},
        !          13418: {9379841,263048,24,13},
        !          13419: {9338881,3495002,24,15},
        !          13420: {9330689,3157919,24,13},
        !          13421: {9326593,5326574,24,12},
        !          13422: {9220097,4885720,24,12},
        !          13423: {9166849,4959296,24,13},
        !          13424: {9117697,1103980,24,13},
        !          13425: {9093121,425177,24,14},
        !          13426: {9080833,1840920,24,12},
        !          13427: {9035777,3303775,24,13},
        !          13428: {9031681,1199218,24,12},
        !          13429: {9023489,145868,24,12},
        !          13430: {9019393,6922239,24,13},
        !          13431: {9011201,8676539,24,15},
        !          13432: {8949761,3136210,24,12},
        !          13433: {8876033,185571,24,12},
        !          13434: {8851457,6524968,24,12},
        !          13435: {8814593,199766,24,15},
        !          13436: {8753153,5210070,24,12},
        !          13437: {8716289,85079,24,16},
        !          13438: {8667137,1362865,24,14},
        !          13439: {8650753,3961843,24,18},
        !          13440: {8527873,2766023,24,13},
        !          13441: {8519681,3999445,24,17},
        !          13442: {8466433,2982250,24,12},
        !          13443: {8441857,3395324,24,12},
        !          13444: {8404993,4907413,24,14},
        !          13445: {8380417,1956502,23,13},
        !          13446: {8318977,3436892,23,12},
        !          13447: {8286209,2480738,23,12},
        !          13448: {8273921,7188916,23,14},
        !          13449: {8257537,4919605,23,17},
        !          13450: {8245249,2364662,23,12},
        !          13451: {8183809,7140789,23,13},
        !          13452: {8163329,7363701,23,12},
        !          13453: {8159233,6721528,23,15},
        !          13454: {8134657,5065770,23,13},
        !          13455: {8122369,2960141,23,12},
        !          13456: {8114177,3287989,23,12},
        !          13457: {8040449,821956,23,12},
        !          13458: {7979009,1246096,23,14},
        !          13459: {7925761,5030372,23,12},
        !          13460: {7913473,1687049,23,14},
        !          13461: {7815169,5897294,23,14},
        !          13462: {7806977,1333420,23,13},
        !          13463: {7790593,877578,23,13},
        !          13464: {7745537,6062330,23,12},
        !          13465: {7741441,7099975,23,13},
        !          13466: {7729153,512905,23,12},
        !          13467: {7704577,7195855,23,12},
        !          13468: {7671809,5959808,23,12},
        !          13469: {7667713,1294281,23,16},
        !          13470: {7659521,152168,23,13},
        !          13471: {7643137,5639668,23,13},
        !          13472: {7630849,3283492,23,12},
        !          13473: {7569409,4136604,23,15},
        !          13474: {7548929,5094076,23,12},
        !          13475: {7544833,63362,23,13},
        !          13476: {7475201,2807323,23,12},
        !          13477: {7462913,3680790,23,13},
        !          13478: {7438337,2284671,23,15},
        !          13479: {7434241,4555913,23,12},
        !          13480: {7413761,2014433,23,13},
        !          13481: {7360513,2204332,23,12},
        !          13482: {7352321,1292238,23,12},
        !          13483: {7340033,5406612,23,20},
        !          13484: {7229441,3547187,23,12},
        !          13485: {7200769,5695619,23,13},
        !          13486: {7188481,808181,23,12},
        !          13487: {7168001,6580369,23,13},
        !          13488: {7139329,6566353,23,12},
        !          13489: {7114753,2841309,23,12},
        !          13490: {7090177,6334133,23,12},
        !          13491: {7065601,2971474,23,12},
        !          13492: {7057409,5350163,23,12},
        !          13493: {6955009,2382666,23,13},
        !          13494: {6946817,1605231,23,17},
        !          13495: {6942721,2416777,23,12},
        !          13496: {6885377,4948460,23,12},
        !          13497: {6873089,859592,23,13},
        !          13498: {6782977,2092473,23,15},
        !          13499: {6750209,4393336,23,16},
        !          13500: {6737921,1554707,23,12},
        !          13501: {6725633,2184291,23,13},
        !          13502: {6684673,2824386,23,17},
        !          13503: {6635521,5913944,23,14},
        !          13504: {6602753,5067760,23,14},
        !          13505: {6578177,6175586,23,13},
        !          13506: {6574081,1163930,23,12},
        !          13507: {6537217,3326255,23,14},
        !          13508: {6463489,5716674,23,13},
        !          13509: {6455297,556661,23,15},
        !          13510: {6402049,1461931,23,12},
        !          13511: {6393857,4899224,23,12},
        !          13512: {6381569,325849,23,13},
        !          13513: {6320129,3413025,23,12},
        !          13514: {6307841,6163736,23,14},
        !          13515: {6258689,390228,23,15},
        !          13516: {6254593,3713878,23,12},
        !          13517: {6234113,3983231,23,13},
        !          13518: {6230017,4132879,23,12},
        !          13519: {6209537,3499870,23,14},
        !          13520: {6156289,4871639,23,12},
        !          13521: {6144001,4529164,23,14},
        !          13522: {6111233,4154923,23,14},
        !          13523: {6086657,207637,23,13},
        !          13524: {6082561,2910697,23,12},
        !          13525: {6008833,4766377,23,12},
        !          13526: {6000641,3987685,23,12},
        !          13527: {5984257,638854,23,12},
        !          13528: {5951489,575869,23,12},
        !          13529: {5910529,907356,23,12},
        !          13530: {5865473,3726352,23,15},
        !          13531: {5849089,171715,23,14},
        !          13532: {5824513,1832942,23,13},
        !          13533: {5804033,3684182,23,12},
        !          13534: {5779457,4498684,23,12},
        !          13535: {5767169,4527514,23,19},
        !          13536: {5763073,2599598,23,12},
        !          13537: {5738497,3012505,23,12},
        !          13538: {5726209,4578065,23,13},
        !          13539: {5677057,2233973,23,13},
        !          13540: {5656577,1556450,23,12},
        !          13541: {5632001,3513414,23,12},
        !          13542: {5591041,1440990,23,12},
        !          13543: {5578753,4151573,23,13},
        !          13544: {5517313,5287434,23,12},
        !          13545: {5492737,105629,23,12},
        !          13546: {5431297,3907858,23,13},
        !          13547: {5410817,5363414,23,12},
        !          13548: {5398529,3491766,23,13},
        !          13549: {5369857,1240969,23,12},
        !          13550: {5345281,2856158,23,12},
        !          13551: {5337089,3703525,23,12},
        !          13552: {5324801,3366130,23,14},
        !          13553: {5308417,1978857,23,16},
        !          13554: {5287937,5250807,23,12},
        !          13555: {5246977,2760355,23,12},
        !          13556: {5234689,3212580,23,13},
        !          13557: {5222401,2942007,23,12},
        !          13558: {5189633,1687144,23,12},
        !          13559: {5140481,5098129,23,12},
        !          13560: {5066753,3504441,23,12},
        !          13561: {5050369,3842087,23,12},
        !          13562: {4907009,1401718,23,13},
        !          13563: {4902913,964213,23,12},
        !          13564: {4882433,126932,23,15},
        !          13565: {4866049,4006615,23,14},
        !          13566: {4845569,2229907,23,12},
        !          13567: {4816897,1479767,23,15},
        !          13568: {4780033,451374,23,12},
        !          13569: {4771841,658263,23,12},
        !          13570: {4759553,4101363,23,13},
        !          13571: {4694017,4057263,23,13},
        !          13572: {4632577,3409912,23,12},
        !          13573: {4620289,4435914,23,15},
        !          13574: {4595713,2051172,23,13},
        !          13575: {4550657,826482,23,12},
        !          13576: {4513793,3236392,23,13},
        !          13577: {4476929,3447200,23,12},
        !          13578: {4464641,1784381,23,13},
        !          13579: {4452353,1306468,23,12},
        !          13580: {4435969,2091564,23,12},
        !          13581: {4427777,4245509,23,12},
        !          13582: {4423681,4157823,23,15},
        !          13583: {4366337,2016741,23,13},
        !          13584: {4304897,300642,23,12},
        !          13585: {4300801,4269574,23,13},
        !          13586: {4263937,1452203,23,12},
        !          13587: {4206593,3417158,23,12},
        !          13588: {4169729,312302,22,13},
        !          13589: {4165633,2604684,22,12},
        !          13590: {4141057,3475840,22,12},
        !          13591: {4120577,2965400,22,13},
        !          13592: {4104193,2458989,22,13},
        !          13593: {4079617,2315893,22,14},
        !          13594: {4046849,460053,22,14},
        !          13595: {4005889,839024,22,13},
        !          13596: {3993601,2436417,22,12},
        !          13597: {3985409,3750482,22,12},
        !          13598: {3960833,2187556,22,12},
        !          13599: {3956737,2276656,22,13},
        !          13600: {3944449,3649928,22,12},
        !          13601: {3919873,2648749,22,12},
        !          13602: {3911681,2283101,22,12},
        !          13603: {3870721,543032,22,12},
        !          13604: {3850241,2716667,22,14},
        !          13605: {3735553,722233,22,16},
        !          13606: {3690497,3604458,22,12},
        !          13607: {3686401,3601163,22,14},
        !          13608: {3612673,3338110,22,13},
        !          13609: {3604481,193403,22,16},
        !          13610: {3588097,3246144,22,14},
        !          13611: {3543041,1668344,22,12},
        !          13612: {3526657,1047403,22,12},
        !          13613: {3489793,2577905,22,14},
        !          13614: {3469313,1583884,22,12},
        !          13615: {3452929,806490,22,12},
        !          13616: {3428353,2126521,22,12},
        !          13617: {3420161,2078757,22,12},
        !          13618: {3391489,1485981,22,14},
        !          13619: {3383297,237235,22,13},
        !          13620: {3305473,2973853,22,12},
        !          13621: {3280897,2606620,22,12},
        !          13622: {3260417,2805450,22,14},
        !          13623: {3219457,3167868,22,13},
        !          13624: {3198977,36978,22,12},
        !          13625: {3194881,1426283,22,14},
        !          13626: {3174401,2402789,22,12},
        !          13627: {3133441,423280,22,12},
        !          13628: {3076097,1063691,22,12},
        !          13629: {3072001,2884468,22,13},
        !          13630: {3022849,472837,22,13},
        !          13631: {3002369,434260,22,12},
        !          13632: {2936833,2293128,22,12},
        !          13633: {2912257,77724,22,12},
        !          13634: {2875393,103704,22,13},
        !          13635: {2768897,11359,22,14},
        !          13636: {2756609,2543113,22,12},
        !          13637: {2752513,2483664,22,17},
        !          13638: {2715649,1945821,22,12},
        !          13639: {2707457,1200346,22,12},
        !          13640: {2654209,2176633,22,15},
        !          13641: {2641921,2270706,22,12},
        !          13642: {2592769,2134423,22,12},
        !          13643: {2572289,1117898,22,14},
        !          13644: {2543617,1118662,22,12},
        !          13645: {2486273,2291237,22,12},
        !          13646: {2482177,2291731,22,13},
        !          13647: {2469889,297329,22,12},
        !          13648: {2437121,1904322,22,12},
        !          13649: {2424833,1836810,22,16},
        !          13650: {2387969,999089,22,12},
        !          13651: {2363393,399226,22,12},
        !          13652: {2314241,422736,22,12},
        !          13653: {2297857,589656,22,12},
        !          13654: {2277377,486428,22,14},
        !          13655: {2236417,1935978,22,13},
        !          13656: {2101249,1339057,22,12},
        !          13657: {2056193,923804,21,13},
        !          13658: {2052097,1125320,21,12},
        !          13659: {1990657,1893144,21,13},
        !          13660: {1908737,1734742,21,13},
        !          13661: {1892353,506921,21,13},
        !          13662: {1847297,1172190,21,12},
        !          13663: {1843201,1043343,21,13},
        !          13664: {1810433,1075944,21,13},
        !          13665: {1794049,1608919,21,13},
        !          13666: {1785857,872740,21,14},
        !          13667: {1769473,514853,21,16},
        !          13668: {1748993,570818,21,12},
        !          13669: {1732609,1627341,21,12},
        !          13670: {1724417,443029,21,12},
        !          13671: {1720321,1030518,21,14},
        !          13672: {1712129,173016,21,13},
        !          13673: {1708033,1614755,21,12},
        !          13674: {1662977,126725,21,13},
        !          13675: {1597441,869319,21,13},
        !          13676: {1589249,26134,21,14},
        !          13677: {1503233,1194989,21,12},
        !          13678: {1454081,167029,21,12},
        !          13679: {1437697,89503,21,12},
        !          13680: {1417217,189813,21,13},
        !          13681: {1376257,906980,21,16},
        !          13682: {1355777,1218448,21,12},
        !          13683: {1318913,507647,21,13},
        !          13684: {1253377,650210,21,13},
        !          13685: {1196033,240870,21,14},
        !          13686: {1191937,879692,21,12},
        !          13687: {1179649,608817,21,17},
        !          13688: {1146881,573655,21,15},
        !          13689: {1130497,297764,21,14},
        !          13690: {1097729,306786,21,14},
        !          13691: {1093633,172277,21,12},
        !          13692: {1073153,916028,21,13},
        !          13693: {1032193,396059,20,14},
        !          13694: {995329,408789,20,12},
        !          13695: {974849,709671,20,13},
        !          13696: {962561,260290,20,12},
        !          13697: {946177,295553,20,12},
        !          13698: {925697,199226,20,13},
        !          13699: {921601,485466,20,12},
        !          13700: {790529,55460,20,12},
        !          13701: {786433,11837,20,18},
        !          13702: {778241,117636,20,13},
        !          13703: {765953,534230,20,12},
        !          13704: {737281,731492,20,14},
        !          13705: {724993,202567,20,12},
        !          13706: {675841,47755,20,12},
        !          13707: {667649,250583,20,12},
        !          13708: {643073,134098,20,12},
        !          13709: {638977,310979,20,14},
        !          13710: {577537,396822,20,12},
        !          13711: {557057,284046,20,15},
        !          13712: {520193,439579,19,12},
        !          13713: {495617,236411,19,12},
        !          13714: {471041,231520,19,12},
        !          13715: {430081,150326,19,12},
        !          13716: {417793,324366,19,13},
        !          13717: {380929,206232,19,12},
        !          13718: {331777,4477,19,12},
        !          13719: {319489,227794,19,13},
        !          13720: {307201,71105,19,12},
        !          13721: {286721,161908,19,13},
        !          13722: {270337,101045,19,13},
        !          13723: {249857,48701,18,12},
        !          13724: {188417,164329,18,13},
        !          13725: {184321,155567,18,12},
        !          13726: {176129,67451,18,12},
        !          13727: {163841,142754,18,15},
        !          13728: {151553,38298,18,12},
        !          13729: {147457,101599,18,14},
        !          13730: {114689,57361,17,14},
        !          13731: {86017,17710,17,12},
        !          13732: {65537,53761,17,16},
        !          13733: {61441,30111,16,12},
        !          13734: {40961,4971,16,13},
        !          13735: {12289,9814,14,12},
        !          13736: {0,0,0,0},
        !          13737: };
        !          13738:
        !          13739: #define MAX_D 26
        !          13740:
        !          13741: static int blen_prod_fftprime[MAX_D+1] =
        !          13742: {375772,375772,375772,375772,
        !          13743:  375772,375772,375772,375772,
        !          13744:  375772,375772,375772,375772,
        !          13745:  375772,186706,92384,46626,
        !          13746:  23388,11701,5783,2940,
        !          13747:  1509,771,276,85,
        !          13748:  57,29,29};
        !          13749:
        !          13750: /*
        !          13751:    d1 = deg(f1), n1 = |f1|oo,
        !          13752:    d2 = deg(f2), n2 = |f2|oo
        !          13753:    return 1 if sufficiently many fft_primes.
        !          13754:           0 if not.
        !          13755: */
        !          13756:
        !          13757: int int_bits(int);
        !          13758:
        !          13759: int fft_available(int d1,int n1,int d2,int n2)
        !          13760: {
        !          13761:   int dmin,bound,dlen;
        !          13762:
        !          13763:   dmin = d1>d2?d2:d1;
        !          13764:   bound = n1+n2+int_bits(dmin)+1;
        !          13765:   dlen = int_bits(d1+d2);
        !          13766:   if ( dlen > MAX_D )
        !          13767:     return 0;
        !          13768:   else if ( blen_prod_fftprime[dlen] <= bound )
        !          13769:     return 0;
        !          13770:   else
        !          13771:     return 1;
        !          13772: }
        !          13773:
        !          13774: void get_fft_prime(int index,int *p,int *d)
        !          13775: {
        !          13776:   if ( index < 0 || index >= NPrimes ) {
        !          13777:     *p = 0; *d = 0;
        !          13778:   } else {
        !          13779:     *p = Primes[index].prime; *d = Primes[index].d;
        !          13780:   }
        !          13781: }

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