unknown terminal "dumb" [was@form sha_in_cyclotomic_tower]$ Magma V2.8-BETA Mon Jun 25 2001 08:02:28 on form [Seed = 1] Linked at: Tue Jun 12 2001 15:45:49 Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/emacs.m" Loading "/home/was/magma/local/init.m" > load "code.m"; Loading "code.m" In file "code.m", line 6, column 11: >> phi := IntegralPeriodMapping(A); ^ User error: Identifier 'IntegralPeriodMapping' has not been declared or assigned In file "code.m", line 22, column 1: >> intrinsic LValue(A::ModSym, p::RngIntElt, D::RngIntElt, n::RngIntElt) -> ., ^ User error: Illegal intrinsic In file "code.m", line 54, column 1: >> intrinsic LValueExperiment() ^ User error: Illegal intrinsic In file "code.m", line 98, column 1: >> intrinsic Process(LValues::SeqEnum) ^ User error: Illegal intrinsic In file "code.m", line 122, column 1: >> intrinsic LValueExperiment3() ^ User error: Illegal intrinsic In file "code.m", line 141, column 1: >> intrinsic TopGCDs(LValues::SeqEnum) ^ User error: Illegal intrinsic > Attach("code.m"); > LVAlue; >> LVAlue; ^ User error: Identifier 'LVAlue' has not been declared or assigned > LValue; Intrinsic 'LValue' Signatures: In file "/home/was/papers/sha_in_cyclotomic_tower/code.m", line 6, column 11: >> phi := IntegralPeriodMapping(A); ^ Runtime error: Undefined reference 'IntegralPeriodMapping' in package "/home/was/papers/sha_in_cyclotomic_tower/code.m" > IntegralMapping; Intrinsic 'IntegralMapping' Signatures: ( M) -> Map A surjective linear map from the ambient space of M to a vector space, such that the kernel of this map is the same as the kernel of the period mapping. Note that M must be defined over the rational numbers. This map is normalized so that the image of IntegralBasis(CuspidalSubspace(AmbientSpace(M))) is the standard Z-lattice. > Attach("code.m"); > LValue; Intrinsic 'LValue' Signatures: In file "/home/was/papers/sha_in_cyclotomic_tower/code.m", line 11, column 14: >> time e := TwistedWindingElementModular(A, 1, chi); ^ Runtime error: Undefined reference 'TwistedWindingElementModular' in package "/home/was/papers/sha_in_cyclotomic_tower/code.m" > ; > LValue; Intrinsic 'LValue' Signatures: In file "/home/was/papers/sha_in_cyclotomic_tower/code.m", line 115, column 28: >> print "num2 := ", factor(&*num2); ^ Runtime error: Undefined reference 'factor' in package "/home/was/papers/sha_in_cyclotomic_tower/code.m" > ; > LValue; Intrinsic 'LValue' Signatures: ( A, p, D, n) -> ., . > A := MS("389A"); > LValue(A,3,1,2); KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.009 Twisted Winding Element... Time: 0.089 map... Norms... Time: 0.000 [ 0, 36 ] > LValue(A,3,1,3); KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 0.229 map... Norms... Time: 0.000 [ 0, 576 ] > factor(576); [ <2, 6>, <3, 2> ] 1 > LValue(A,3,1,4); KroneckerCharacter... Time: 0.010 DirichletGroup... Time: 0.010 Twisted Winding Element... Time: 0.820 map... Norms... Time: 0.019 [ 0, 6184094662656 ] > factor($1[2]); [ <2, 18>, <3, 2>, <1619, 2> ] > LValue(A,3,1,5); KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 3.939 map... Norms... Time: 0.060 [ 0, 2594568341462912562667392341838835001604440064 ] > factor($1[2]); [ <2, 54>, <3, 2>, <2269, 2>, <55752830873, 2> ] > LValue(A,3,1,6); KroneckerCharacter... Time: 0.009 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 33.360 map... Norms... Time: 1.619 [ 0, 3814743339810809972834783415441457385036047847586807465257323554123958955349158054492993663777487965040714965977868952709894545831079118363362394908627544069149091268919296 ] > Valuation($1[2],3); 2 > Sqrt($2[2]);Sqrt($2[2]); 6.176360853942076766192171634E85 > LValue(A,5,1,2); KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.009 Twisted Winding Element... Time: 0.260 map... Norms... Time: 0.000 [ 0, 160000 ] > for p in [3..97] do if IsPrime(p) then l := LValue(A,p,1,2)[2]; printf "%o: %o\n", p, l; if l eq 0 then "EXAMPLE!!"; end if; end if; end for; KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 0.080 map... Norms... Time: 0.000 3: 36 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 0.239 map... Norms... Time: 0.000 5: 160000 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 0.580 map... Norms... Time: 0.000 7: 9834496 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 2.089 map... Norms... Time: 0.000 11: 235690082176551878656 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.009 Twisted Winding Element... Time: 3.459 map... Norms... Time: 0.019 13: 4037417679275900966031071153943110662457042927616 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 13.469 map... Norms... Time: 0.050 17: 2730354451125155421400589123514770443626717669199193763611990403948723951300550397526016 KroneckerCharacter... Time: 0.000 DirichletGroup... Time: 0.009 Twisted Winding Element... Time: 14.829 map... Norms... Time: 0.159 19: 46085686498280020793266159073687052008873824947341901726406361077975558691704970980376960751893902028388906827874247376896 KroneckerCharacter... Time: 0.009 DirichletGroup... Time: 0.000 Twisted Winding Element... Time: 54.679 map... Norms... Time: 6.750 23: 3953218697139685960469759878810963970235414894942575193726404210519728151419624063925500383682381524351297409477947467762664326033309602534623099879158450283765538636717479740987428503524594099033020123484166184376479879830414734071825432576 KroneckerCharacter... Time: 0.019 DirichletGroup... Time: 0.010 Twisted Winding Element... Time: 168.690 map... Norms... Time: 24.409 29: 148699341872397534898885068011436071752363668269604730284921305381485271664357728913853026757360870181927922444910369952323494368135485378342583596966229993654494087598278999878062321484213100878524550198367803754615325919437989310571899641807643529577373451114080523135839625009963702238336441772326266539569462372470740208463708130945357049962188309677750491470749968115404048646405398371691476811776 KroneckerCharacter... Time: 0.009 DirichletGroup... Time: 0.009 Twisted Winding Element... [Interrupted] > quit; Total time: 458.549 seconds [was@form sha_in_cyclotomic_tower]$ exit exit Process magma finished