@@ -84,7 +84,20 @@ void init_bls12_381_fields()
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/* parameters for Fq6 */
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+ bls12_381_Fq6::euler = bigint<6 *bls12_381_q_limbs>(" 20554133100346859175471782037923328603092004029368475898129200002880650925292078031236336437155417867098264344518387365893430771451315477306772392387091199574188127258130200190724479057496226394584754283339686073743682966778056496"
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+ " 2327945395707855461784923849488018385374868097169740055671857527378364846985124226126804481781632034266682707672275244752919278254435312874614711930845778483008368333187290823468828236021643415690765934622950990371613607731757827"
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+ " 4075669149520898024347473697702653612215721050521068924301068068177428715185971771314610791504467157081688941868360291264332276621620347148228840040620536292141825333889929315303120837632621009405712364239501893128509197213249204" );
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+ bls12_381_Fq6::s = 3 ;
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+ bls12_381_Fq6::t = bigint<6 *bls12_381_q_limbs>(" 5138533275086714793867945509480832150773001007342118974532300000720162731323019507809084109288854466774566086129596841473357692862828869326693098096772799893547031814532550047681119764374056598646188570834921518435920741694514124"
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+ " 0581986348926963865446230962372004596343717024292435013917964381844591211746281056531701120445408008566670676918068811188229819563608828218653677982711444620752092083296822705867207059005410853922691483655737747592903401932939456"
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+ " 8518917287380224506086868424425663403053930262630267231075267017044357178796492942828652697876116789270422235467090072816083069155405086787057210010155134073035456333472482328825780209408155252351428091059875473282127299303312301" );
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+ bls12_381_Fq6::t_minus_1_over_2 = bigint<6 *bls12_381_q_limbs>(" 2569266637543357396933972754740416075386500503671059487266150000360081365661509753904542054644427233387283043064798420736678846431414434663346549048386399946773515907266275023840559882187028299323094285417460759217960370847257062"
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+ " 0290993174463481932723115481186002298171858512146217506958982190922295605873140528265850560222704004283335338459034405594114909781804414109326838991355722310376046041648411352933603529502705426961345741827868873796451700966469728"
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+ " 4259458643690112253043434212212831701526965131315133615537633508522178589398246471414326348938058394635211117733545036408041534577702543393528605005077567036517728166736241164412890104704077626175714045529937736641063649651656150" );
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bls12_381_Fq6::non_residue = bls12_381_Fq2 (bls12_381_Fq (" 1" ),bls12_381_Fq (" 1" ));
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+ bls12_381_Fq6::nqr = bls12_381_Fq6 (bls12_381_Fq2::one (),bls12_381_Fq2::one (),bls12_381_Fq2::zero ());
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+ bls12_381_Fq temp_Fq6 = bls12_381_Fq (" 2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530" );
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+ bls12_381_Fq6::nqr_to_t = bls12_381_Fq6 (bls12_381_Fq2 (temp_Fq6,temp_Fq6),bls12_381_Fq2::zero (),bls12_381_Fq2::zero ());
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bls12_381_Fq6::Frobenius_coeffs_c1[0 ] = bls12_381_Fq2 (bls12_381_Fq (" 1" ), bls12_381_Fq (" 0" ));
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bls12_381_Fq6::Frobenius_coeffs_c1[1 ] = bls12_381_Fq2 (bls12_381_Fq (" 0" ), bls12_381_Fq (" 4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436" ));
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bls12_381_Fq6::Frobenius_coeffs_c1[2 ] = bls12_381_Fq2 (bls12_381_Fq (" 793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350" ), bls12_381_Fq (" 0" ));
@@ -100,7 +113,29 @@ void init_bls12_381_fields()
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/* parameters for Fq12 */
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+ bls12_381_Fq12::euler = bigint<12 *bls12_381_q_limbs>(" 84494477501354877863865367578187930377622126393420760822050568476317337611486762037414270042798116043101246277209976512094361633120467161014065554445340565539059728811354277261356050973219720027209194190487838692659063939320510475"
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+ " 6684686564553744540192748080653129821509884735609423581664936489210967044046752906842048351460495822757497568452317297203089041326472891040759142912227371393980794331268602860685738444530097471818525224303042413280382576694575299"
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+ " 4243167774120254336745536274773695755236419654903551716949533916736161356917292005946710404303427406932182969676190623946300563008385561067630240219756654157397637890286330848719683460121962833606725529824544406779592032379877481"
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+ " 1619354467715920346231349235866829244117661464414438262378914602649540068695152163844160842304673532919059469589280333810875205899713712879737788837727657694488850147823396354062110303649461852408661125352998460333970628572435583"
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+ " 1757875201144654542881444863180645429521461839597984159381168059700378199831784038278254696182778409863406365300081610922417700679768617228365246880105899509515611144499009510027533192321478957577669300457547918189673190852298371"
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+ " 5647603567520167155789018111526068121587518840305926270907547770597694123975462831369590179741045378187314102710120072893107485626654026731724301176856186957627412379772915464547093068089747231550221016170764028215685592439765640" );
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+ bls12_381_Fq12::s = 4 ;
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+ bls12_381_Fq12::t = bigint<12 *bls12_381_q_limbs>(" 10561809687669359732983170947273491297202765799177595102756321059539667201435845254676783755349764505387655784651247064011795204140058395126758194305667570692382466101419284657669506371652465003401149273810979836582382992415063809"
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+ " 4585585820569218067524093510081641227688735591951177947708117061151370880505844113355256043932561977844687196056539662150386130165809111380094892864028421424247599291408575357585717305566262183977315653037880301660047822086821912"
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+ " 4280395971765031792093192034346711969404552456862943964618691739592020169614661500743338800537928425866522871209523827993287570376048195133453780027469581769674704736285791356089960432515245354200840691228068050847449004047484685"
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+ " 1452419308464490043278918654483353655514707683051804782797364325331192508586894020480520105288084191614882433698660041726359400737464214109967223604715957211811106268477924544257763787956182731551082640669124807541746328571554447"
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+ " 8969734400143081817860180607897580678690182729949748019922646007462547274978973004784781837022847301232925795662510201365302212584971077153545655860013237438689451393062376188753441649040184869697208662557193489773709148856537296"
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+ " 4455950445940020894473627263940758515198439855038240783863443471324711765496932853921198772467630672273414262838765009111638435703331753341465537647107023369703426547471614433068386633511218403943777627021345503526960699054970705" );
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+ bls12_381_Fq12::t_minus_1_over_2 = bigint<12 *bls12_381_q_limbs>(" 5280904843834679866491585473636745648601382899588797551378160529769833600717922627338391877674882252693827892325623532005897602070029197563379097152833785346191233050709642328834753185826232501700574636905489918291191496207531904"
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+ " 7292792910284609033762046755040820613844367795975588973854058530575685440252922056677628021966280988922343598028269831075193065082904555690047446432014210712123799645704287678792858652783131091988657826518940150830023911043410956"
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+ " 2140197985882515896046596017173355984702276228431471982309345869796010084807330750371669400268964212933261435604761913996643785188024097566726890013734790884837352368142895678044980216257622677100420345614034025423724502023742342"
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+ " 5726209654232245021639459327241676827757353841525902391398682162665596254293447010240260052644042095807441216849330020863179700368732107054983611802357978605905553134238962272128881893978091365775541320334562403770873164285777223"
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+ " 9484867200071540908930090303948790339345091364974874009961323003731273637489486502392390918511423650616462897831255100682651106292485538576772827930006618719344725696531188094376720824520092434848604331278596744886854574428268648"
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+ " 2227975222970010447236813631970379257599219927519120391931721735662355882748466426960599386233815336136707131419382504555819217851665876670732768823553511684851713273735807216534193316755609201971888813510672751763480349527485352" );
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bls12_381_Fq12::non_residue = bls12_381_Fq2 (bls12_381_Fq (" 1" ),bls12_381_Fq (" 1" ));
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+ bls12_381_Fq12::nqr = bls12_381_Fq12 (bls12_381_Fq6::zero (),bls12_381_Fq6::one ());
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+ bls12_381_Fq temp_Fq12 = bls12_381_Fq (" 3357996710086603428986649435961018971596863377125478091385687488711898724126407611022502097010210262797519903698974" );
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+ bls12_381_Fq12::nqr_to_t = bls12_381_Fq12 (bls12_381_Fq6::zero (),bls12_381_Fq6 (bls12_381_Fq2::zero (),bls12_381_Fq2 (temp_Fq12,temp_Fq12),bls12_381_Fq2::zero ()));
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bls12_381_Fq12::Frobenius_coeffs_c1[0 ] = bls12_381_Fq2 (bls12_381_Fq (" 1" ),bls12_381_Fq (" 0" ));
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bls12_381_Fq12::Frobenius_coeffs_c1[1 ] = bls12_381_Fq2 (bls12_381_Fq (" 3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760" ),bls12_381_Fq (" 151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027" ));
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bls12_381_Fq12::Frobenius_coeffs_c1[2 ] = bls12_381_Fq2 (bls12_381_Fq (" 793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351" ),bls12_381_Fq (" 0" ));
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