com.distrimind.bouncycastle.pqc.legacy.crypto.sike.p434.properties Maven / Gradle / Ivy

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There is a newer version: 1.78.1
ph2_path = 0,0,1,2,3,3,4,4,5,6,6,7,8,9,9,9,10,11,12,13,13,13,14,14,15,16,17,18,19,19,19,19,20,21,22,22,23,24,25,26,27,27,28,28,28,28,28,29,30,31,32,33,34,34,35
ph3_path = 0,0,1,2,3,3,4,4,5,6,6,7,8,9,9,9,10,11,12,13,13,13,13,14,15,16,17,18,19,19,19,19,19,20,21,22,23,24,25,26,27,28,28,28,28,28,28

A_gen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
B_gen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
XQB3 = 821E631A922B742C,DA3EB61A6B066600,BE9BF948971BD406,AEF5D42FAF04075A,70165C6A99378F7F,EEE1058485DD1F9A,0001B20B9F7D4D95,787CA8B336944EF3,0D29EBA9AF11A6EB,E0BC6DA29BB99844,F583F3C8DA2FB5FA,BBCB2EAAD861B7E8,2487A88C3E782D0A,00011BA37E3442A5
A_basis_zero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

#/* Basis for Bob on A = 0,expressed in Montgomery representation */
B_basis_zero = 214C34BB192F67A0,0DD49D3D02115D30,0700652C1A7B66ED,1F856B48F4FF0024,FBDE6F4E6A705221,B951A3D6C93D87B8,0000AE8ADB818ED6,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,51D889FE197209C1,191BCD9DBE4FE0EF,447818CF5E54DD8A,3F42710E8562A583,647BDBB01C66DCB5,F402D36C15EA12E1,0000A1E1D287C14C,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,DEB3CB44E6D0985F,F22B62C2FDEEA2CF,F8FF9AD3E5849912,DE3C0B31EE00FFDB,7FE7ED29C6E85C82,B3AABBFFB887989D,000185944B95E46D,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,51D889FE197209C1,191BCD9DBE4FE0EF,447818CF5E54DD8A,3F42710E8562A583,647BDBB01C66DCB5,F402D36C15EA12E1,0000A1E1D287C14C

#/* Full 3-torsion for Bob on A = 0,expressed in Montgomery representation */
B_gen_3_tors = D697601DCA7CA4B5,D16726DCBE0FD988,8119DD7AF0E6C87C,D1E1BDAB620C8DF9,27ABDBB336AF35D0,C36900B91B5F4914,0001E21CCC021AE9,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,DAEB901A8B0B1BF6,00CFA413FEE3DEEB,D8A152FC022EDD7F,69AEE6F393ADDBE5,45F3B54D85AB6DDE,19F7181A0B697BAB,0000E1C0ED0125C4,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,29689FE235835B4A,2E98D92341F02677,7EE622850F193783,2BDFB8CF80F37206,541A80C4FAA978D3,A9935F1D6665D742,000052025B15585A,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,DAEB901A8B0B1BF6,00CFA413FEE3DEEB,D8A152FC022EDD7F,69AEE6F393ADDBE5,45F3B54D85AB6DDE,19F7181A0B697BAB,0000E1C0ED0125C4,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,FC42C90C960A3D15,815F603FE9413385,640A06136E6DF1BA,71E4C95A57555FE7,BF7BAC5BE8654D6F,27CD8B340B46A743,0000259C6CF43995,FF585E4DCB517F6A,EFFCE64BA91FBE1C,FAEB260583830D6E,EB68E9A0F32E8E96,419A555BABEC214B,BA7A5BFD1EA7D14F,000220892411AA66,00A7A1B234AE8095,100319B456E041E3,0514D9FA7C7CF291,12588CD9EFD17169,3A2C071C856C8D58,B28203D9631D4F07,000013960305C8DD,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,03BD36F369F5C2EA,7EA09FC016BECC7A,9BF5F9EC91920E45,8BDCAD208BAAA018,BC4AB01C48F36134,452ED4A2767E7912,00020E82BA2339AF,FF585E4DCB517F6A,EFFCE64BA91FBE1C,FAEB260583830D6E,EB68E9A0F32E8E96,419A555BABEC214B,BA7A5BFD1EA7D14F,000220892411AA66,FF585E4DCB517F6A,EFFCE64BA91FBE1C,FAEB260583830D6E,EB68E9A0F32E8E96,419A555BABEC214B,BA7A5BFD1EA7D14F,000220892411AA66
#/* Pre-computed pairing ReducedTatePairing(R0,S3,lB^eB) on A = 0 */
g_R_S_im = 410F318D49162E42,6D1F5B0D35833300,5F4DFCA44B8DEA03,908ADE1CD38203AD,100CD330A23B7494,E0A2D716A265D0DA,0001C5F4777BD5A5

#/* Pre-computed pairing ReducedTatePairing(phiR,phiS,lB^eB) on A = 0 */
g_phiR_phiS_re = E3F6DD5BAE3DA160,893B9874EAD27B9A,0AEB72FD8BCC2583,02FFCCC8FAFA395E,2303AE01DD252409,C6AD33482DFD53FA,0000978AD00D3221
g_phiR_phiS_im = C728DE8E32AF6622,F179EECB0D4F3D28,37CA8F90B93772D7,A349AE99A7B40196,D81D98E9D4891BF8,4767F6BC20C22291,00019AF8C13C99B8

#// constant Montgomery_RB1 = (2^NBITS_ORDER)^2 mod Bob_order
Montgomery_RB1 = E63F0179FFC3EF1B,47AF4CC2440BEB81,EC3CD079857407E7,00000000008BF47C


#// constant Montgomery_RB2 = -(3^OBOB_EXP)^-1 mod 2^NBITS_ORDER
Montgomery_RB2 = 7A9991106B9F6535,7E06A4ACAEA6DA73,3D4C8710FC0ECD0E,AE3D0E8DC11F55F1

#// 1/3 mod p
threeinv = 5555555555557C0E,5555555555555555,5555555555555555,3C30F5A8EB555555,9A84C9F93D7058B4,410E5C007655D5E8,0001C70EFCA40721

#// Entangled bases related static tables and parameters
#
#// Constants u and u0 where u = u0^2 in F_p^2} \ F_p used in entagled basis generation
#// For the 2^eA-torsion basis generation:
#//Two tables of 17 elements each for the values r in F_p such that v = 1/(1+ur^2) where r is already converted to Montgomery representation
#//Also,2 tables for the quadratic residues (qr) and quadratric non residues (qnr) v in F_p^2} with 17 GF(p^2) elements each.
#// For the 3^eB-torsion basis generation:
#//A table of size 20 for values v = 1/(1+U*r^2)

u_entang = 0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,0000000000000000,000000000000E858,0000000000000000,0000000000000000,721FE809F8000000,B00349F6AB3F59A9,D264A8A8BEEE8219,0001D9DD4F7A5DB5

u0_entang = 000000000000742C,0000000000000000,0000000000000000,B90FF404FC000000,D801A4FB559FACD4,E93254545F77410C,0000ECEEA7BD2EDA,000000000000742C,0000000000000000,0000000000000000,B90FF404FC000000,D801A4FB559FACD4,E93254545F77410C,0000ECEEA7BD2EDA

#// Tables for quadratic residues and quadratic non residues v with 17 elements each.
table_r_qr = 000000000000E858,0000000000000000,0000000000000000,721FE809F8000000,B00349F6AB3F59A9,D264A8A8BEEE8219,0001D9DD4F7A5DB5,00000000000244DE,0000000000000000,0000000000000000,A1CCD72326000000,407B7FF8496D02DF,B402E5F8D9CA0493,0000386AF88303BD,000000000002B90A,0000000000000000,0000000000000000,5ADCCB2822000000,187D24F39F0CAFB4,9D353A4D394145A0,00012559A0403298,000000000003A163,0000000000000000,0000000000000000,CF3B3CB737000000,4CBA127218F35AB9,029D831F766AA763,0000CB17C8A31D0A,000000000004158F,0000000000000000,0000000000000000,884B30BC33000000,24BBB76D6E93078E,EBCFD773D5E1E870,0001B80670604BE4,000000000005E641,0000000000000000,0000000000000000,710813DA5D000000,8D35926A62605D99,B6A069185034ABF6,00010382C12620C7,000000000007B6F3,0000000000000000,0000000000000000,59C4F6F887000000,F5AF6D67562DB3A4,8170FABCCA876F7C,00004EFF11EBF5AA,0000000000082B1F,0000000000000000,0000000000000000,12D4EAFD83000000,CDB11262ABCD6079,6AA34F1129FEB089,00013BEDB9A92485,0000000000089F4B,0000000000000000,0000000000000000,CBE4DF027F000000,A5B2B75E016D0D4D,53D5A3658975F196,000228DC61665360,0000000000091378,0000000000000000,0000000000000000,87335C8C98000000,01EDFFE125B40B7E,D00B97E36728124D,0000E1ABE20C0EF6,00000000000987A4,0000000000000000,0000000000000000,4043509194000000,D9EFA4DC7B53B853,B93DEC37C69F5359,0001CE9A89C93DD1,00000000000AE42A,0000000000000000,0000000000000000,6FF03FAAC2000000,6A67DADE19816189,9ADC2987E17AD5D3,00002D2832D1E3D9,00000000000BCC82,0000000000000000,0000000000000000,E21027B4BA000000,1A6B24D4C4C0BB32,6D40D230A06957ED,00020705824C418F,00000000000CB4DB,0000000000000000,0000000000000000,566E9943CF000000,4EA812533EA76638,D2A91B02DD92B9B0,0001ACC3AAAF2C00,000000000010563F,0000000000000000,0000000000000000,27E85F8023000000,1F9BC84D2642124E,684A3E4BD23840BD,000043BC4C3AD5C6,000000000010CA6B,0000000000000000,0000000000000000,E0F853851F000000,F79D6D487BE1BF22,517C92A031AF81C9,000130AAF3F804A1,0000000000113E97,0000000000000000,0000000000000000,9A08478A1B000000,CF9F1243D1816BF7,3AAEE6F49126C2D6,00021D999BB5337C

table_r_qnr = 000000000000742C,0000000000000000,0000000000000000,B90FF404FC000000,D801A4FB559FACD4,E93254545F77410C,0000ECEEA7BD2EDA,0000000000015C85,0000000000000000,0000000000000000,2D6E659411000000,0C3E9279CF8657DA,4E9A9D269CA0A2D0,000092ACD020194C,000000000001D0B1,0000000000000000,0000000000000000,E67E59990D000000,E4403775252604AE,37CCF17AFC17E3DC,00017F9B77DD4827,0000000000032D36,0000000000000000,0000000000000000,13ECBF2D1E000000,F07EC9EEF4AC5C89,86678EA198B886AC,0002124847FD6173,00000000000489BC,0000000000000000,0000000000000000,4399AE464C000000,80F6FFF092DA05BF,6805CBF1B3940926,000070D5F106077B,000000000004FDE8,0000000000000000,0000000000000000,FCA9A24B48000000,58F8A4EBE879B293,51382046130B4A33,00015DC498C33656,0000000000057215,0000000000000000,0000000000000000,B7F81FD561000000,B533ED6F0CC0B0C4,CD6E14C3F0BD6AE9,000016941968F1EC,0000000000065A6D,0000000000000000,0000000000000000,2A1807DF59000000,65373765B8000A6E,9FD2BD6CAFABED03,0001F07168E34FA2,000000000006CE9A,0000000000000000,0000000000000000,E566856972000000,C1727FE8DC47089E,1C08B1EA8D5E0DB9,0000A940E9890B39,00000000000742C6,0000000000000000,0000000000000000,9E76796E6E000000,997424E431E6B573,053B063EECD54EC6,0001962F91463A14,000000000009FBD1,0000000000000000,0000000000000000,FB91CE1BAD000000,362AED5F9F9AB683,3573E0B5A4517410,0000876A0A6EF968,00000000000A6FFD,0000000000000000,0000000000000000,B4A1C220A9000000,0E2C925AF53A6358,1EA6350A03C8B51D,00017458B22C2843,00000000000B5856,0000000000000000,0000000000000000,290033AFBE000000,42697FD96F210E5E,840E7DDC40F216E0,00011A16DA8F12B4,00000000000C40AF,0000000000000000,0000000000000000,9D5EA53ED3000000,76A66D57E907B963,E976C6AE7E1B78A3,0000BFD502F1FD25,00000000000D2908,0000000000000000,0000000000000000,11BD16CDE8000000,AAE35AD662EE6469,4EDF0F80BB44DA66,000065932B54E797,00000000000D9D34,0000000000000000,0000000000000000,CACD0AD2E4000000,82E4FFD1B88E113D,381163D51ABC1B73,00015281D3121672,00000000000E1161,0000000000000000,0000000000000000,861B885CFD000000,DF204854DCD50F6E,B4475852F86E3C29,00000B5153B7D208

table_v_qr = B91B91B91B91BAE5,1B91B91B91B91B91,91B91B91B91B91B9,0E6BB9DE0C91B91B,18879A47F2F0700D,32C54E927DB88A64,000040658CB2BA6D,37237237237228D7,2372372372372372,7237237237237237,8A63A78A7E723723,B7898A3899D52E3B,D6D1EB429400CD35,000030F2C1819FDA,9DF0A569883D6A65,59DF0A569883D6A5,A59DF0A569883D6A,93172790C79883D6,298B605E3417DFB7,081016F426986717,0001AE3C15954874,26FFB1636401381F,726FFB16364013A7,A726FFB16364013A,EDF3527199364013,BDFF43E957D8E920,074E1DFE3B43CAA6,0001E902BD6A68C3,B29534AE62D85A79,73A1CBC35EA5FE1F,1FB29534AE62D85A,19C5E5E8785EA5FE,6B6158A5E8F068E6,0CECA7AEFD88C24A,0000CF8664C37D4D,C6092EF433268DDD,7A7EB10D61508715,15C6092EF433268F,83BED59416615087,DA8AD203B0BCEA94,DC0EF2686153C430,0001217CC87DEA8B,A1597A9A1597A9A3,A9A1597A9A1597A9,97A9A1597A9A1597,47173487D07A9A15,3062918D06B8B8BB,5EF6E4246C346412,00005CDEB10B32FD,5342B2F5342B2E6A,2F5342B2F5342B2F,2B2F5342B2F5342B,4305EAA744B2F534,71C32BD0E142A474,E23E2A390CBEBE56,00020B54D66A6931,31D09D29093CBD5A,A279F28F044339E9,1C3591FDDFA2ABE3,7A95272488FA8224,7A5F257CDC0C28BB,2F3DFE9FC01A2996,0001366E89ECB66C,79FC8C0827902CB2,2ED4817F4D755A6E,26199D587B0F39F3,A3A0E2151F79A526,1386C93E197B9F03,6B7E90520EBF0D2E,0001E10076731598,5DD68140F43AA56B,4AA53DAEB55472EF,A60F1009929BD460,3D4DD25C8193C341,35733EAA8A1EA07B,99783B0926D5C757,0001D6A91F47E8D5,1AC9583D8A91979F,71D48F5496803FF6,C01CD35C6E4198DD,941E3BB5DBE83352,421F7BB430992C92,DA40000C2EA98E76,00023324E9FB029F,952DEB9E62D9C2BE,7B98EE26B6AE484E,A57575A4B923F963,7F6E921069A934B5,0D34628FB53F37E0,84CD034670F66804,000233E185011583,2E520464D0564CC2,F0B64C978A80BE93,6CCC6215FCC6ED62,3727B865F5F6FDE0,A5963EE8317E2563,3AEEFD45F2BC2A1D,00008B27F67FAD8C,6B7A7DCC7F3B44FC,BA2952F78F79D85C,58AA10FC845A4938,38607CDC19E40DE8,F782E6EB3A1CBDE0,98DAE7F75A012666,0001E9CFDCCA840A,F1F1925DF1F95FED,C765FD5CD394560F,918500D0FB76A868,5C3B831FAFBCCBDF,B1E4D8E96D477318,C4EB9AA3919CE98F,0000CA5C17F444A8,F505266D38669368,AD2B0AFD3D136E5D,3CA7F0C0A4792B2B,F6CC2F16221333E8,74FDE820A0C50733,D749F43FD6060D30,0000FF30BAB231A0,F7799FF6EEB44369,9C9B01C9BF32BB02,EE5B00B022443ED1,16418A8BDAD79B04,264771819C98C2EB,07CB8EF625BB1BCE,0000DC5C646444C8,A52C6022C70D3B7D,F9B79B1003C84AFA,0765C85B2883915A,3C54570B229D2FC2,A59E1613FB354422,88D1CAF4B3C2622E,00009178DE51F8AB,D5539351F6A61891,A23B6DF42E15B0BB,E1EDE32164D9C3B3,A7DECA9161CAC1A8,875FC6BEE0404B9D,907741C12EF25428,00018B79DBCD1C48,18A1E0F1292838F7,BAE67B6B45CF66EC,2982C916B06A06F1,9A53622D7C86DA5A,9314B3E18DD3A3B7,36BB18009CF1A383,0001BFC9236F3E65,22470120336BBA45,11EAC8697B6F6693,FB672FD432B4132A,27792DC88E63B55C,30D776047CAC287C,DE79BC44A0443180,0001F651F5F1A9A7,3E09917AC9688DC1,EC94402B3F3397BE,56025A9144380945,00A1AE22A2253250,891F8847B8B78A7D,DA0443EFF16C706F,00022368A03A9304,D4F15775A9821722,64DF3D6397D527E8,F568724D03D64557,5B53D0D1B29D967C,7E629228475B7DAB,E2F8D30C52E943C7,0000493BB0D3CEFE,57EF7EC9AC7CE353,B563E360103A5DD6,C42C5BD044455DBC,41EA4366B0C69229,E97382F193D45A27,8B63E6E956D7C174,000190B9B4F7F000,972A66E90C6F6DE7,08772CAA4BC06BFF,F5BB1C1771A8F362,7609CCF88A4C136B,B995935C846B7647,F7C843EA8188B335,0001542E019C30FC,4246FA13382275B5,4734FBDCE5228591,4024F01C044310A0,764F2B4888774196,7F3EFA9545B4D464,CD48FEF1A7C24D0E,0000371FB2198997,0D444A482CEF0AC6,DB7957048C8DE64A,1DC15465E53A2A4B,017829A8B38E47B7,1394CE02BBC42752,30B81EE68A7D7B3B,0001B89AA7B09560,91E8F43CA01721C0,39ABE9BE4138C9F2,342B58F5DC8FD7C4,8BEBB3AD3C59CBD4,014A504F2E2D58BF,63B43021EDEEB875,00000CC6FC5A0F66,A9571A2B15CA47C5,136159ABA10347FA,C91B46A6CF975D38,C91B144F43D03B6F,764A2DFFD44DAC62,9DC2BEE6D762D341,0000A472F28BA413,E22367F18819D3B6,581661D0BA67F352,BB446CC1C435EC24,234DE0F57175551C,22DCB9526AB8B42A,9B132D68572887FF,000106208C8243C0,61524ABE5BC5AA7B,E09DD59654379389,1E2CCF9B77486349,401627FB5217B2B5,A0ABBE33F68582CB,5FDCEBB71DBF474A,0001A6CA9A638D47,0743A7ADEC4CBEB9,47D5F3C3612D8380,2AB1A136944C1875,1A465F3FB9F85ABF,EE93D67ED7FD59F4,AECA171A0F106B4E,000058273E8B0400,0CC45DEE3E386734,9A5A0BDFB68C83AE,5C1D5047058C14ED,9FB2AA0ED2404366,166F7D427E758FC3,95C498C32ED2863F,00018C4775225D1C

table_v_qnr = 6666666666667DA2,6666666666666666,6666666666666666,BDB6F9CBC0666666,C31C792F24DD0205,27089D99E099E6BE,00011108FDFC0447,33333333333304BB,3333333333333333,3333333333333333,825382E362333333,F58D6A19E79EAA98,1EEB24A2C09152D8,0000120D2B1F6AB6,8B6BE9F1D2505894,38B6BE9F1D250583,838B6BE9F1D25058,9C0909AB631D2505,EA75FE266DA83956,B98D22E1CCB2BBBE,00007DB423F53C56,32698CFF3659C593,032698CFF3659CC0,C032698CFF3659CC,FC24A25976F3659C,EE93EFA540E7611C,15016B5024486E43,00022DF13C37023D,7722377223772254,3772237722377223,2377223772237722,36D7BAAAFB223772,7AA4C5D72FC85655,3369C65060D08696,000104009788DC36,1BB911BB911BB571,11BB911BB911BB91,911BB911BB911BB9,035E9BD3E8B911BB,EC06B024EB2770F5,F590D385807C1241,00008DC059443A3B,E6111C7042F3A8E9,A8E6111C7042F3A8,F3A8E6111C7042F3,E2F2B515761C7042,530947C450F471E0,FE9688F7B8604C8D,00005C0ECF10587A,ED731D065EB956BE,57ED731D065EB957,B957ED731D065EB9,FB2E1576F91D065E,F2D84E5C17F75228,5A258E938774B74D,000004472D355531,3337C993650C0D08,D089EDE9FF52557D,7620D4C829513EF7,DA1743C426DBF666,A107EC0033174F2C,AD15D89173C23C09,0000F99F9FB462F5,FC6A84D90E95D167,143E213087AD362F,B659C39FB886CE65,D6153F7A8F277FF3,39C5C5A13D9EDBF8,AAAC1FF0ADC9568B,00011A1FD239C2DA,87736309DDA6A943,091F6A7837911C71,0743D3FD9AC58005,E763272C18E09F9A,26B8C4C17D8D30CA,A460F26C8AFDB3DA,00014E6984FF9B2E,F4EC60AC7873FE1A,604D5A5B78D31CAD,21E19A43B14CFB3D,01179D702BA92065,04EA04B3126A1C70,EA50BE0D9B0E2C6D,000131C643902465,8614211F80B1616D,F7B81FD3A7A49E4E,F80B1616D86C5E7A,07BF548F41614211,C37DA826EB2AE8DF,C0411FD8C5ED8C6F,0001F341510F9157,295ABC8F38726461,50DC31E366CDE7A9,F387264C8615B5A9,0C75E33E8F95ABC8,5D38EFF0970FFA71,461FA2CC981D3869,0000418CBED84E70,87700C2E778D8075,43A87500FA58EEAF,9CE75275C96D2A5C,5FA19F2E462F399A,DF0F017B7DD8C4F2,280013794FEDAE61,000094ED77FF8063,9C6D58D8EF534C70,660CD680A7D28338,BDC9BBA390D722B8,A71C6310BFAFCB3F,B99B4BBB58195F7C,06691D6254221D44,00012108224A3BF7,2195F504EC8CE821,9D41075B38625AA5,9014203CA406BB05,6D62CB6D8B2DF2C3,1C86F3E3A5CCF863,203E5B5903F00EDA,000164F4C3C7C43C,F6674D58304FF4E1,93B111A6E31CA9BA,BC9F5567AC2B4021,38B75040103B443C,A69C3BA57D6DCDCB,A75A1F558C7AE4E1,0000906E5FF4617C,94129AFB594129AF,129AFB594129AFB5,9AFB594129AFB594,2900F1CD82B59412,20D6A4CA5E4BAF82,6793F3042CF7FB07,0001D02041A5E76A,DACA094D7DACA05A,CA094D7DACA094D7,094D7DACA094D7DA,4B05B38CC6D7DACA,5BB2D964C0D0DE02,801FF33FFAFD404E,0001AAD724D92DFC,E166CDB3BE58BCD0,E77C60E75642CDFD,0C39472A9783BE7F,96A7FC14FBC96ABA,5CC689CB13C56A4D,C328410D8CB268EB,0001A8A8A5004ABD,B346305840760AA7,B1B19541D3651803,C76AE6F315D7AC5C,F0B9349859647081,A9244A61C30F5B9B,6A76EE9B87BC5C4F,0000AF0668ACA050,ADA031682113D6D1,017CF7EC83494C4A,33EF143065596ED1,0276B5923C8389FE,0822C190F53979AC,33C32FAC0249AB9F,00011975648F1F39,6FF3CFA74C02322E,D98760896B12B35E,5DEE8FFD24640437,3069F716185FB36D,A97ABED04F5F5959,DBDAA58A321B6B1F,0000491708DEB2B8,A6D19EFB46E8A47A,B4DDF0D82FF93FF2,7EF791FD729C9B0F,1CBEBA7707E84CC6,E949FCCBE6E9F9A6,085AFF3FCD75590B,0000F96FFCFE49F3,7475B90FC40CE223,DC4E0065C0F5C12D,0B2928765F52DD4E,CB9E763FBEB91EC8,44396405161C4326,A0D8B0D51BD60EA8,0000A27A2002EA20,49EC0E19DF71A633,2A457AC271C844D8,DBF40F545519A32C,318D60D527180CFE,19A398A08B929CDA,CF17763B94DCBD5B,0001DD4F8A136584,FD97B0A56ABB6CB8,404AD893F967E82A,4C00B1B353FCAE77,F75B9E618F05FC7F,9C6E7902F4787FCE,E4E698A7B7077008,0000CF2A0C917171,C0BAAADC355770BB,9D7581EB3277D7EA,CDBA0DAFF2A59F6E,3E461B402A9B65B2,05F0D156E1A7A3ED,69A1891EBDCC6A7C,0001281AFCFED68C,B5896529877D4FE7,71F064AE68975B99,4F9211F7BBCE7B39,19AC9E4507FDCF34,E4F185BB956F52E1,E327A4E691DAE76D,000046219384EE75,1B49FE6D324A903E,4E33D89D1655631F,1E1C101410671389,E332832DFB6C742D,38CDD49E02180B90,1279178D8097B588,000119E5683A4805,1FBB103663B9C88C,2374EF7AF79F0D48,4AAEF2ECAB3EA292,A0FA2CB6396F22C4,BE1E1F8EC2B4A5CA,43D353300E514A3B,0001288094A6D8E5,998BF5138DDDD5D2,D1F015AF4EA7BF66,E3DAF7886068D9AD,99E9067025D583AF,CC498E253E868EF6,618AE02455C9B20A,0002322145632832,333A0330E480A5E0,D37D31D37894FFB3,4E09921C2CCDB4FD,AC7069BEE6F95173,A05EDFF1E57DBBEF,5C3678A72B135234,0001BB5DA10EE9DF

v_3_torsion = 999999999999BC73,9999999999999999,9999999999999999,9C9276B1A0999999,24AAB5C6B74B8308,BA8CEC66D0E6DA1E,0001998D7CFA066A,CCCCCCCCCCCCC12E,CCCCCCCCCCCCCCCC,CCCCCCCCCCCCCCCC,1EE5F99502CCCCCC,1A381FE09EEA2DA1,D978110991782CF7,0001AB9AA8197120,41FAB8BE05474CC2,054741FAB8BE0547,B8BE054741FAB8BE,C9AE7F39FF4741FA,B1F4EE9D1CDDE556,1650D500E95EBA31,00005023E95DDE16,54741FAB8BE04FA9,8BE054741FAB8BE0,1FAB8BE054741FAB,16655C7EB0E05474,D849DDDEC437B020,2E677A183619E2D7,00019324B6AFA19D,8536718536718A34,3671853671853671,7185367185367185,88EBEF311A718536,A7D32684ABC9D6E9,86FFA027C5EA41ED,0001EF2D26807E04,8B01288B012888A3,01288B01288B0128,288B01288B01288B,F2CAF7B478288B01,B30406DB0864DD0C,7DE19AB6317E9551,0001499080A4B0D6,497819E2B03FF6AB,43C254E3A3E0C8FE,A1F98753F0030B9C,9D08AFDF66CDC06D,DC9B4D2060AC66D4,AA1B0432076D8C12,00008C728C65FAC7,7787B5638B83E57E,4BC0CF1581FF9E8C,1E12A71D1F0647F2,F874D414C6185CE2,B1C3CEFB8EF40E5E,D974CD64813E2AD0,0000EF9B64A50B19,4FAC336C14F326D0,F324FAC336C14F32,C14F324FAC336C14,7A441A68B4FAC336,F55ABB9E02E51BCD,7DF241E5CC125D82,00020CD99B418553,79927D619B60A6B2,60A79927D619B60A,19B60A79927D619B,C1836ABCD19927D6,056ED5F9FA770E50,938A248852AF05FF,000180454EC85AD4,8FC8F97836B765C9,79F3DDD74597E657,F40F4D525855A12C,B504F4CAE1D399D4,5B3EBD1F2ED83FF2,E84645130B2D0DBA,0000DA2062334ED3,C71EA489199E8B2C,4CA048F486023DBF,7D1F0775331F6A61,238045677D90A29A,A9A61EA8DBC1A3F4,7D71C1C648CD9742,0001075C2F69D7C4,C3A939DD014D003A,A92F1F17B5248C25,7399C8DD37028F40,78F15EE9E1AEC3C9,9C6EC31DE809B64F,ADC32BB57B097A2B,000182925F9D25CA,37B92BC3BEB5AFB9,C389002039BCC790,769F328FEC87C89C,45F48B81136118A1,771813745D6BBD3E,1DB0C12AB3EBFB1D,00014733DD55FF54,8D3D7757053F25DE,1BB0A5534AD2D44F,6A5D806D0822AA3D,81D30F00C5FE0658,DD7EDBA5455F0CBF,321F8C3287B5561C,00010C3B9266397A,58AFE48B66934683,2BD00D3BE2D0F3F0,366476DBC465DF23,CF46D882997C04CA,100047EAE7B1B0CA,E98B984D9BA8857B,00019D8D87E9F5E7,16255E514230CE8B,4CEE6DB1C53E2C2B,E69FC4293B640916,BEDB813769959101,75374AFDF84FA267,A08A7C370DEA787F,0001C42814BBDFF3,CA970CCFC4688815,B0EF9A5F6A27C77F,57FF227293F58D8B,2782596E2D3675FA,F3B4D13FBB928B8E,5F9B384AE0301D97,00015DD020A61A84,B9758CA6605A88DC,9B0E00E773B0BE3F,8D1CB3F2BBA35FE1,5BD852F804F988BA,5AB812185EC1F54A,81EE7303B3B11EF8,000167A5C4B8EC00,537E31BF0E7887B0,F28A3A23236AEF0A,49B722040DA1FB99,89C14F4BF6ADE22F,8303646A89C2A6D6,4446EB8898043332,0001C1BE6A2BAA3F,60904BED92E6F0A1,B75830F83D32BDCE,5303D79E3A35E71C,057F1D1FBF1F6424,09D29AFFCD4B9F82,0DE6CF6ECF1EDB33,0001B330E4A5A838,09DBF7B0AE6C58C5,45E3E366E4AFF3A9,29E3BFD3FA3102E9,4F66726AC8918DDF,AC46D1291B0F682A,197E0510E123E22F,000141E2A18F39E4,0611E67F5AFE0C95,73F50769BEADF858,5FF1EF605FF0AD88,C80A90794F63FDDE,A435619598EC3001,34AF362A0C54F5EA,00017A9719011B55,E183ECD15F816A3A,F6F117C4395997BE,67AAE2316B369528,0618723D3BFE02D5,947CE54AACCA22AF,4963179F500215D8,0000A69EB2B134C5,4512C7CB549E0613,58B3138052AC291F,BDB21A1D0DC8E1F3,08F33DE426C49F38,78ED469B002924BC,94FBCA884C534ECE,00016411608F666E,76DCF643092ACD65,87827A6E7863F18A,5FBB99DF645C6BDD,26E3468335753344,C6BB91D8121B199B,3BC17926E87E395D,00007D5A5FF0E692,2CD377F7AF7A3996,FE915A6848EB6335,E2796F2ACB922496,D5FEAE7013EC2D63,1B264179788453F2,3A50528DF123CA80,00003C2B61484D9B,0CD1CFE4E128028C,7E6F33F849117206,422F91D71D67A4CB,A9C6E809C409E2D9,D3D9B2D66BAC46C7,68CEEB5277B8DDD3,0000381E05A78010,4F4EBAA4A85CBB5A,00F6A3476ECCE55C,6DF6C3C9230F72FA,0DCB283C6564F0BA,A82B8AC12EDC42E9,5FBD7E3CB399C776,0000FFF6BD7C7E3E,DC68551ECFC41D23,C237308737FA469E,E6A81586A6FCD565,3DED4572B5A03B45,6946056BDF996305,E2F1389B1D6CF35C,00010CD02839AEB3,A5959A668F12A176,B310CEBDA555CD7D,078B28C38E9A01DF,6197E0DCCE65322A,A8D2A1E798A9702A,753603AD399F0CAA,000105A74C730C51,C8D0CA6784B4551A,45D4AE4A0850F0C8,391DDCAFE0C29DC1,8270BF6B173AC986,73770F0EAA80DDEF,BB7C9EE74BD61C23,00007A592BC0228D,A302403B141A0385,9188DF46965BF724,666234B05EB3A268,37AB02DCD5D0FB01,ED9FA4ABF47BF81A,31B87D353910E9E3,0001E931A394CEF8,9E46F21160F6FEAF,6359F8041E2E0FEA,4AE82F18B6A502F1,CC2D17C159C53B16,DC5076C57AEF74C5,A4D66592DBF0E267,000012E32E3B2202,9237E2347B57BBD8,E16C142FE156484A,087E8A48B3B14220,34B6225A95A547ED,D26CBF294A3E2E72,33C06874E35A7F57,00017DFC7A25D7B7,91ECC77A8220B97E,BD3818A24751F785,2E3FD75D7AE703AB,D7E8692B70CA482C,53C8B5DDEBA21D6D,5FC1E218D7085E99,000129CD0E49FE6F,3945471CC48EF6BB,7C3FB717D0165DC8,92F83793BFEBC75A,D5BF95D93BFE5316,0209E198DB1F16A4,E2086C62914F403A,000019D6352AA2CC,BFFF0BF092E15611,FA429EEA322007B3,99EFB4184EBBD84C,F6C5230835D383A8,F1CD8283C93674AF,41C64F9EA1AC8458,00002CD68D0A2571,570C567E928211B1,70459EE4560443C6,1FC204B885DBB2C0,7C99D3BCAF19BE0E,5BFFD67B5AA530E7,F8701F7AE35B9C57,0000F056DF1DFCBE,4183962A42D28AD1,FF8B6A5752A5FAEB,A4B714F92FE41B11,8CC5D5EEFFAFB58B,A53A15C837E4CFC9,1A79CF6122569F16,0001FE4DB81AE342

T_tate3 = 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T_tate2_firststep_P = 16747C943533BF87,B4497C90231C8CF6,5ABB26BC14FB0710,457A7E552E14B4D2,6E92EEF549069079,0565AB7E75A1BA5C,00021F0CABC7F726,39645C6B7CF4AD82,72CA8B9E5285631B,B778021E0CE0E39B,1255EAC0AC0F8ABA,6A43AE42E0830B36,C85CCEC4E3F3764B,00010F16B11E4DF3,44D662245513A8F6,4926CA3671265135,1BD215535DA13B6D,18FE224B9795814C,4010C29A1FC10E03,B72E6E05D7DDD73A,00004ECD639F7DE7,DFA0E79BF5633D28,05F9B46F9C06602E,22B17FDA14F3A36A,44E15C64A71346D5,AA9205DED17FC6DA,59B8583E58373D72,000077D7B7A0BE52

T_tate2_P = 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T_tate2_firststep_Q = 6448CB5BD9770D67,3092CF8C8803D8B4,2542331C81C2C2F8,8066DFBFF024AA32,05F4E163CD158E1A,87C8B0AC7FF6B89F,00018466971777FB,414795F6A70D543E,DC7D2E0B9229A814,679CD711C5B2AC8E,CC92A943030F0D18,C2BB3CDA074E0076,19332E71DC423BA4,0001C95A2FC045DD,6DB3A00833C75E25,EF23EDA1ACBDA616,72B19555F79DDE6E,9DBA3A0E78EBE79E,1D187EE5215D71B3,1D24D175B4C3C65B,00010AEB3555065D,508F3D07E0AE1491,1C7EF18B886FDB38,AA1001FC42642F0C,D5536205F2F93C34,B647092B16484B6E,899C89AEA084752F,0000D0C508EA68B4

T_tate2_Q = 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ph2_T = 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ph3_T1 = 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ph3_T2 = 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