gp > elltors(ellinit(rr(1,14))) %1 = [1, [], []] gp > for(m=1,1000,e=ellinit(rr(m,14));g=elltors(e);if(g!=[1,[],[]],print("E_{",m,",14}(Q)_{tors}=",g))) time = 26 ms.
gp> e=ellinit(rr(79,14)) %1 = [0, -168507, 0, 8419667688, -105174865104048, -674028, 16839335376, -420699460416192, 0, 50169695760, -11515339394155584, -3660878922614366479778045952, -58010872513949813256625/1681784559746797982, Vecsmall([1]), [Vecsmall([128, -1])], [0, 0, 0, 0, 0, 0, 0, 0]] gp> ellanalyticrank(e) time = 132 ms. %2 = [1, 28.569758223296393968535404083686510891] gp> P=ellheegner(e) time = 1min, 13,402 ms. %3 = [247861841719305374800796557759862982721415594539/3503609446735356311620439174228494877282025, 7153986173194508349754502981722677036606273302503227681455582975187488/6558032022616146054602302406842002158688344033022685066720084875] gp> ellheight(e,P) time = 1 ms. %4 = 107.80598967976398414730250753770960980 gp> pp(P) %5 = [463946087568189983598208562510425127628788725312056805721674238123505, 7153986173194508349754502981722677036606273302503227681455582975187488, 6558032022616146054602302406842002158688344033022685066720084875] gp> Q=ggg2(P,79,14) %6 = [13689164933648355998632426547115288237390304722256115837788456815560303/8351029576227419704767754125187652297318197055617022502990136286223090, -618807412740660700876579416330065835822241882750339525122709134814673/8351029576227419704767754125187652297318197055617022502990136286223090] gp> pp(Q) %7 = [13689164933648355998632426547115288237390304722256115837788456815560303, -618807412740660700876579416330065835822241882750339525122709134814673, 8351029576227419704767754125187652297318197055617022502990136286223090] (19:56) gp > Q[1]^3+Q[2]^3-79*Q[1]*Q[2]-14 %8 = 0 gp> P2=ellpow(e,P,2) %9 = [44442917711469420141923745641507448826881649953266159393992571260596427470025134221513129613199557477424975639929459418665394758376983535111173471131391849346308812624462211139265718985441/717252173306664123161203635307793211245468975096445561473779560811057316413486568855678297526413654699485707989069837800521142418088495429016342722378762134213607679647770898489446400, -52489752066888099268578266584894315390006289438200089645993766822431243738873890058302417977820652781110948958842146354571862849948599955822341943691836505920546750308433568436176411046024061159502598774112533974971617984750956202397606105656682859636879288046519569043055631719889/19209135023999286222099925766532617096830682681723984042970029899634667229341313357703045939579313192739081796414118226055996086958963305123479735468693848372498014808011610738048779892057025664684424616597386418008127607355972770448575232223485687495612656183112210546688000] gp> P3=ellpow(e,P,3) %10 = [31325343275117051593580448826903990961929907052503826645958572786751125596611915621954810820336861936892128243363514676242667605120740009836788246526883606815457071584013747072004387444313738339297707281727967554499888260840086502784503870359776872764898242008084547929808103894771300590624324385758523460784531237865942090748358680468151745470859856547799145211998723931003931757812947706455657762289626948339464784209259/139008856261707672357992971747033954543605522372818709486667209631877344377269626487396258185867576259305669479204414343711731124370753969207970214095969922240569065119469452804824195624761590615643344068089078500602187233270047516187627279261392355464582397811460107906750541704964943146628021745196319287036040740198291062359443038349688901648855601556100489331951240279071338462140125051906103045074632666914541225, -112104733608247010586808233937217087336334392399625293849153791731798366830033989082586224895218264481416723161361169763135730633554016708090347363668540416323561720708185103695914727402022174637186530264862632598001613458811484261525174818240950238472391698366859154184154140176923121225435296393228700394029495814342569117238214956040312762320736135980335473450553439816349550646554031309863826497904755647547067540974064538632934592686642385892457890312288808597683066188435505699261270861996796536774128954280086147093799028069550746717993742660525416666567183063201062869220322576956729212973530294741943603187825287675314080352/1638942454207826153367799613275034533060644001116748511107522361429293852460109163250904999141161599683110549870072837378569343243133587278929581869702701342187534767100748039545836791608346243851829834911907828925885948280245682215283008501148397095495764564647116359813718304491385573259266115224375707322543250960253364812220577343044315668335940230194118163312165046566491507340655526532211098002148152193420973508865688788301630873056729082446555751417514772540103012947276864624485901247351285766547256394655706153943649726901674926838198131820523037898023194278095793139983132394945407040234003168682163071320864799125] gp> Q2=ggg2(P2,79,14) time = 1 ms. %11 = [6632893006409982598868489484478192952053745463918812080254040883207451478408744418995355021708598864886760211483837228000492944151130100337647737230250838164663584790932785416991281592064183110055834569642899164749195214796494679397551665750883091849281634876474816867396556175471/21424515255768723591429029659796625382811281787964790444316760686728913498241559503139877807222989636586195973293130792628785977506737618251243722174568134851771066221128221556414301861003499288344732455743747415594524576261872028710592110998556733974176453383000152459004555672960, 111612397140186181136025022654266823732066324340318991372241574528069938956156524535600190977349904427108658129168129937144218644048330011982331624613923850005757085407799922289344103684112305429061032117867967114692431184298407084192763877064248811123040210969513954953507819615249/21424515255768723591429029659796625382811281787964790444316760686728913498241559503139877807222989636586195973293130792628785977506737618251243722174568134851771066221128221556414301861003499288344732455743747415594524576261872028710592110998556733974176453383000152459004555672960] gp> Q2[1]^3+Q2[2]^3-79*Q2[1]*Q2[2]-14 %12 = 0 gp> Q3=ggg2(P2,79,14) %13 = [6632893006409982598868489484478192952053745463918812080254040883207451478408744418995355021708598864886760211483837228000492944151130100337647737230250838164663584790932785416991281592064183110055834569642899164749195214796494679397551665750883091849281634876474816867396556175471/21424515255768723591429029659796625382811281787964790444316760686728913498241559503139877807222989636586195973293130792628785977506737618251243722174568134851771066221128221556414301861003499288344732455743747415594524576261872028710592110998556733974176453383000152459004555672960, 111612397140186181136025022654266823732066324340318991372241574528069938956156524535600190977349904427108658129168129937144218644048330011982331624613923850005757085407799922289344103684112305429061032117867967114692431184298407084192763877064248811123040210969513954953507819615249/21424515255768723591429029659796625382811281787964790444316760686728913498241559503139877807222989636586195973293130792628785977506737618251243722174568134851771066221128221556414301861003499288344732455743747415594524576261872028710592110998556733974176453383000152459004555672960] gp> Q3[1]^3+Q3[2]^3-79*Q3[1]*Q3[2]-14 %14 = 0■m \in [1..100]について、結果をまとめると、以下のようになる。
m | [a1,a2,a3,a4,a6], conductor(Em,14) |
rank Em,14(Q) |
Em,14:y2z=x3-27m2x2z+216m(m3+378)xz2-432(m3+378)2z3 Em,14(Q)/Em,14(Q)torsの生成元 [x:y:z] |
Em,14(Q)/Em,14(Q)torsの生成元 の高さ |
Cm,14:u3+v3-muvw=14w3 Cm,14(Q)/Cm,14(Q)torsの生成元 [u:v:w] |
m |
1 | [0, -27, 0, 81864, -62052912] 5306 |
0 | - | - | - | 1 |
2 | [0, -108, 0, 166752, -64366272] 5404 |
0 | - | - | - | 2 |
3 | [0, -243, 0, 262440, -70858800] 5670 |
1 | [463 : 9890 : 1] | 6.60886508642363 |
[20303 : 523 : 8334], ... |
3 |
4 | [0, -432, 0, 381888, -84397248] 6188 |
0 | - | - | - | 4 |
5 | [0, -675, 0, 543240, -109299888] 7042 |
1 | [1227 : 37260 : 1] | 5.03388258076572 |
[1369 : -1391 : 818], ... |
5 |
6 | [0, -972, 0, 769824, -152425152] 2772 |
1 | [756 : 17496 : 1] | 1.63734579900721 |
[13 : -5 : 7], ... |
6 |
7 | [0, -1323, 0, 1090152, -224571312] 10094 |
1 | [2163 : 77868 : 1] | 1.09525089911499 |
[3 : -5 : 2], ... |
7 |
8 | [0, -1728, 0, 1537920, -342187200] 12460 |
1 | [588, 12960, 1] | 3.25426159833935 |
[143 : 23 : 49], ... |
8 |
9 | [0, -2187, 0, 2152008, -529393968] 15498 |
1 | [13274 : 318835 : 8] | 8.75627876422028 |
[279253 : -358417 : 238932], ... | 9 |
10 | [0, -2700, 0, 2976480, -820317888] 19292 |
0 | - | - | - | 10 |
11 | [0, -3267, 0, 4060584, -1261734192] 23926 |
1 | [651 : 16524 : 1] | 4.97376501047520 |
[2095 : 871 : 434], ... |
11 |
12 | [0, -3888, 0, 5458752, -1916021952] 29484 |
0 | - | - | - | 12 |
13 | [0, -4563, 0, 7230600, -2864430000] 7210 |
0 | - | - | - | 13 |
14 | [0, -5292, 0, 9440928, -4210653888] 43708 |
1 | [2676 : 48168 : 1] | 0.44196354659763 |
[1 : -1 : 1], ... |
14 |
15 | [0, -6075, 0, 12159720, -6084723888] 17514 |
0 | - | - | - | 15 |
16 | [0, -6912, 0, 15462144, -8647204032] 62636 |
1 | [4396 : 103456 : 1] | 6.65953068797561 |
[6689 : -19175 : 9891], ... |
16 |
17 | [0, -7803, 0, 19428552, -12093702192] 74074 |
1 | [1443 : 51948 : 1] | 1.54873697711864 |
[13 : 5 : 2], ... |
17 |
18 | [0, -8748, 0, 24144480, -16659691200] 86940 |
1 | [389780 : 7794296 : 125] | 9.66563607100086 |
[1836397 : -112177 : 877005], ... |
18 |
19 | [0, -9747, 0, 29700648, -22625641008] 101318 |
0 | - | - | - | 19 |
20 | [0, -10800, 0, 36192960, -30322461888] 117292 |
1 | [3532 : 82720 : 1] | 6.61496000289056 |
[21551 : 871 : 7947], ... |
20 |
21 | [0, -11907, 0, 43722504, -40137258672] 134946 |
0 | - | - | - | 21 |
22 | [0, -13068, 0, 52395552, -52519396032] 154364 |
0 | - | - | - | 22 |
23 | [0, -14283, 0, 62323560, -67986874800] 175630 |
1 | [7527 : 135486 : 1] | 0.92541110767999 |
[1 : -3 : 2], ... |
23 |
24 | [0, -15552, 0, 73623168, -87133019328] 66276 |
1 | [979020 : 15781392 : 125] | 6.32559646900654 |
[4733 : -11503 : 9065], ... |
24 |
25 | [0, -16875, 0, 86416200, -110633475888] 224042 |
1 | [16003 : 1024192 : 1] | 2.90958026063161 |
[25 : -103 : 18], ... |
25 |
26 | [0, -18252, 0, 100829664, -139253522112] 251356 |
1 | [904020 : 14566392 : 125] | 7.94971634760798 |
[115027 : -19847 : 75335], ... |
26 |
27 | [0, -19683, 0, 116995752, -173855687472] 280854 |
1 | [36652143638064872985 : 1114958092161097042622 : 6010202860518375] | 32.7217969435251 |
[2486678922532770682337 : 256762738210576597093 : 659738585485167713730], ... |
27 |
28 | [0, -21168, 0, 135051840, -215407684800] 312620 |
0 | - | - | - | 28 |
29 | [0, -22707, 0, 155140488, -264990652848] 346738 |
1 | [12943 : 327590 : 1] | 8.82664481827983 |
[93161 : -562019 : 232974], ... |
29 |
30 | [0, -24300, 0, 177409440, -323807709888] 29484 |
0 | - | - | - | 30 |
31 | [0, -25947, 0, 202011624, -393192818352] 422366 |
0 | - | - | - | 31 |
32 | [0, -27648, 0, 229105152, -474619960512] 464044 |
0 | - | - | - | 32 |
33 | [0, -29403, 0, 258853320, -569712625200] 169470 |
1 | [107437374 : 2933521515 : 10648] | 11.1031003148000 |
[25587563 : 1443353 : 7958324], ... |
33 |
34 | [0, -31212, 0, 291424608, -680253605568] 555548 |
1 | [11053 : 279395 : 1] | 8.78865861515543 |
[580541 : 21751 : 198954], ... |
34 |
35 | [0, -33075, 0, 326992680, -808195107888] 605542 |
1 | [14763 : 167832 : 1] | 2.78869248274119 |
[25 : -23 : 38], ... |
35 |
36 | [0, -34992, 0, 365736384, -955669171392] 658476 |
1 | [31356 : 2633904 : 1] | 1.87025966034688 |
[5 : -23 : 3], ... |
36 |
37 | [0, -36963, 0, 407839752, -1124998399152] 714434 |
0 | - | - | - | 37 |
38 | [0, -38988, 0, 453492000, -1318707000000] 30940 |
0 | - | - | - | 38 |
39 | [0, -41067, 0, 502887528, -1539532141488] 835758 |
0 | - | - | - | 39 |
40 | [0, -43200, 0, 556225920, -1790435613888] 901292 |
1 | [538419 : 6185735 : 27] | 11.0927967293799 |
[4150871 : -8220599 : 9691542], ... |
40 |
41 | [0, -45387, 0, 613711944, -2074615805232] 42182 |
1 | [525297 : 6034832 : 27] | 6.38007761756465 |
[16601 : -6215 : 17874], ... |
41 |
42 | [0, -47628, 0, 675555552, -2395519987392] 347508 |
0 | - | - | - | 43 |
43 | [0, -49923, 0, 741971880, -2756856913200] 1118390 |
0 | - | - | - | 43 |
44 | [0, -52272, 0, 813181248, -3162609724608] 1197868 |
1 | [149686649 : 5755854115 : 4913] | 15.2446602194342 |
[1130396263 : -10381311967 : 2694359682], ... |
44 |
45 | [0, -54675, 0, 889409160, -3617049171888] 1281042 |
1 | [38132696205784071930772866 : 5280737090255337473291074015 : 635089536875063349288] | 42.6184896717245 |
[2224876626610928942033132209 : -8336597553899746004549015821 : 686388531704113294753911588], ... |
45 |
46 | [0, -57132, 0, 970886304, -4124747143872] 1367996 |
1 | [22861916, 1163026504, 1331] | 12.8686363145456 |
[336268265 : 45511639 : 51439311], ... |
46 |
47 | [0, -59643, 0, 1057848552, -4690590509232] 1458814 |
0 | - | - | - | 47 |
48 | [0, -62208, 0, 1150536960, -5319795268800] 1553580 |
1 | [62359177813604 : 37752852556822960 : 146363183] | 24.0661052637178 |
[3669730019836793 : -5768483119368947 : 140308150080609], ... |
48 |
49 | [0, -64827, 0, 1249197768, -6017921018928] 1652378 |
2 |
[50583 : 4552470 : 1], [28119 : 289926 : 1] |
1.64480630605370, 3.90522517713034 |
[3 : -17 : 2], [165 : -71 : 206], ... |
49 |
50 | [0, -67500, 0, 1354082400, -6790885725888] 1755292 |
0 | - | - | - | 50 |
51 | [0, -70227, 0, 1465447464, -7644980811312] 620802 |
1 | [266058 : 3591783 : 8] | 1.15599234265203 |
[1 : -5 : 4], ... |
51 |
52 | [0, -73008, 0, 1583554752, -8586886548672] 1973804 |
0 | - | - | - | 52 |
53 | [0, -75843, 0, 1708671240, -9623687770800] 2089570 |
0 | - | - | - | 53 |
54 | [0, -78732, 0, 1841069088, -10762889888448] 2209788 |
1 | [3682980 : 105438456 : 125] | 3.80498999987830 |
[347 : 13 : 105], ... |
54 |
55 | [0, -81675, 0, 1981025640, -12012435219888] 137326 |
0 | - | - | - | 55 |
56 | [0, -84672, 0, 2128823424, -13380719631552] 2463916 |
2 |
[37713 : 339417 : 1], [33852 : 668304 : 1] |
0.78644483216712, 2.84071192842480 |
[1 : -1 : 2], [67 : -1 : 31], ... |
56 |
57 | [0, -87723, 0, 2284750152, -14876609489712] 2597994 |
0 | - | - | - | 57 |
58 | [0, -90828, 0, 2449098720, -16509458923200] 2736860 |
1 |
|
|
... |
58 |
59 | [0, -93987, 0, 2622167208, -18289127397168] 2880598 |
1 | [52059 : 2141856 : 1] | 2.56476806812949 |
[5 : -59 : 14], ... |
59 |
60 | [0, -97200, 0, 2804258880, -20225997597888] 1009764 |
1 | [4963580 : 86268736 : 125] | 11.3266658376382 |
[20815667 : -751517 : 11168055], ... |
60 |
61 | [0, -100467, 0, 2995682184, -22330993628592] 289366 |
0 | - | - | - | 61 |
62 | [0, -103788, 0, 3196750752, -24615599516352] 3341884 |
1 | [170436084 : 8687943576 : 4913] | 4.18414972336701 |
[745 : 71 : 119], ... |
62 |
63 | [0, -107163, 0, 3407783400, -27091878030000] 701190 |
0 | - | - | - | 63 |
64 | [0, -110592, 0, 3629104128, -29772489809088] 3675308 |
1 | [86044 : 10037296 : 1] | 5.38897487320903 |
[845 : -4871 : 441], ... |
64 |
65 | [0, -114075, 0, 3861042120, -32670712803888] 3850042 |
1 | [1070430744710064192 : 2550874512576386155995 : 184803393536] | 30.6637288771150 |
[86813707070840612609 : -102139960527410213761 : 713620496473376128], ... |
65 |
66 | [0, -117612, 0, 4103931744, -35800462026432] 4030236 |
2 |
[63972 : 2686824 : 1], [6734945 : 68676787 : 125] |
1.54916920878757, 12.7618938065937 |
[1 : -13 : 3], [30590677 : -106762897 : 121229010], ... |
66 |
67 | [0, -121203, 0, 4358112552, -39176309612592] 4215974 |
0 | - | - | - | 67 |
68 | [0, -124848, 0, 4623929280, -42813505195200] 4407340 |
1 | [12055003947939860 : 1447678814500154368 : 126128378375] | 26.5726628723632 |
[52236387723104741 : -309683315901933851 : 27123758882864685], ... |
68 |
69 | [0, -128547, 0, 4901731848, -46727996588208] 1534806 |
1 | [219258 : 27297621 : 8] | 3.37311047872152 |
[233 : 67 : 12], ... |
69 |
70 | [0, -132300, 0, 5191875360, -50936450781888] 4807292 |
0 | - | - | - | 70 |
71 | [0, -136107, 0, 5494720104, -55456275249072] 5016046 |
1 | [138238040596862627737288 : 11315047075049339609711167 : 3468129711747240448] | 38.7506988812895 |
[26603682574437053085113815 : 3973588424338373865691481 : 2488284730743527299271184], ... |
71 |
72 | [0, -139968, 0, 5810631552, -60305639562432] 5230764 |
0 | - | - | - | 72 |
73 | [0, -143883, 0, 6139980360, -65503497322800] 5451530 |
2 |
[7481355 : 122853294 : 125], [61363 : 736100 : 1] |
5.83077599538255, 9.67668405388371 |
[5291 : -201 : 3010], [1315823 : -156377 : 1104534], ... |
73 |
74 | [0, -147852, 0, 6483142368, -71069608398528] 5678428 |
1 | [17508 : 1575720 : 1] | 2.35221442161590 |
[39 : 29 : 1], ... |
74 |
75 | [0, -151875, 0, 6840498600, -77024561475888] 5911542 |
0 | - | - | - | 75 |
76 | [0, -155952, 0, 7212435264, -83389796920512] 6150956 |
1 | [15095462988 : 583155813248 : 185193] | 16.9494233853310 |
[8817565447 : -136971387865 : 33964791723], ... |
76 |
77 | [0, -160083, 0, 7599343752, -90187629949872] 6396754 |
1 | [4587492 : 36017163 : 64] | 7.25010265182084 |
[11815 : -17503 : 33608], ... |
77 |
78 | [0, -164268, 0, 8001620640, -97441274116800] 2216340 |
0 | - | - | - | 78 |
79 | [0, -168507, 0, 8419667688, -105174865104048] 6907838 |
1 | [463946087568189983598208562510425127628788725312056805721674238123505 : 7153986173194508349754502981722677036606273302503227681455582975187488 : 6558032022616146054602302406842002158688344033022685066720084875] | 107.805989679763 |
[13689164933648355998632426547115288237390304722256115837788456815560303 : -618807412740660700876579416330065835822241882750339525122709134814673 : 8351029576227419704767754125187652297318197055617022502990136286223090], ... |
79 |
80 | [0, -172800, 0, 8853891840, -113413484829888] 7173292 |
0 | - | - | - | 80 |
81 | [0, -177147, 0, 9304705224, -122183185864752] 7445466 |
1 | [887479058890819025685207672802371649595 : 15102774835369947596991106222108628009192 : 12009364581899896292786902815397625] | 62.2177168353042 |
[29370460977832078430696604992882500233107 : -835088692907816763285607451334755785277 : 15974623060034742462333738110442689692710], ... |
81 |
82 | [0, -181548, 0, 9772525152, -131511016158912] 7724444 |
0 | - | - | - | 82 |
83 | [0, -186003, 0, 10257774120, -141425044081200] 8010310 |
0 | - | - | - | 83 |
84 | [0, -190512, 0, 10760879808, -151954383768768] 8303148 |
1 | [856674 : 52883145 : 8] | 4.36433301400687 |
[79 : -991 : 156], ... |
84 |
85 | [0, -195075, 0, 11282275080, -163129220787888] 8603042 |
0 | - | - | - | 85 |
86 | [0, -199692, 0, 11822397984, -174980838105792] 8910076 |
1 | [11685345 : 178719453 : 125] | 11.0391820448008 |
[1031609 : -12206869 : 7790230], ... |
86 |
87 | [0, -204363, 0, 12381691752, -187541642373552] 3074778 |
1 | [24908595443297632341403626834722925 : 970454850126601430019707653346344656 : 318781097015019216642840359375] | 51.7158401171112 |
[8356825213130135564707851058422217 : 369542496038765770306965022649833 : 1845081143947972766029898284053550], ... |
87 |
88 | [0, -209088, 0, 12960604800, -200845190520000] 1909180 |
0 | - | - | - | 88 |
89 | [0, -213867, 0, 13559590728, -214926216656688] 9874858 |
2 |
[41491 : 7136452 : 1], [98655792619108859199259 : 16477669935298914335111168 : 583457634357771529] |
3.91121999611461, 31.6737799103267 |
[517 : 173 : 18], [119351585133293668913 ; -674925242867907282383 : 42799746141186268482] , ... |
89 |
90 | [0, -218700, 0, 14179108320, -229820659293888] 10211292 |
1 | [11616020 : 162840392 : 125] | 5.49045842771806 |
[2857 : -157 : 1935], ... |
90 |
91 | [0, -223587, 0, 14819621544, -245565688867632] 10555286 |
1 | [81067 : 4381244 : 1] | 6.76013555863706 |
[36263 : 2431 : 5634], ... |
91 |
92 | [0, -228528, 0, 15481599552, -262199735577792] 10906924 |
0 | - | - | - | 92 |
93 | [0, -233523, 0, 16165516680, -279762517537200] 11266290 |
0 | - | - | - | 93 |
94 | [0, -238572, 0, 16871852448, -298295069231808] 11633468 |
1 | [63504647879033309346370514500 : 4530489106383900287938940726008 : 780368253103445095703125] | 45.9199838421127 |
[1245825940071115627803277657751 : 113203663475140555818542476249 : 142885457727824946029333657625], ... |
94 |
95 | [0, -243675, 0, 17601091560, -317839770291888] 12008542 |
0 | - | - | - | 95 |
96 | [0, -248832, 0, 18353723904, -338440374574272] 4130532 |
0 | - | - | - | 96 |
97 | [0, -254043, 0, 19130244552, -360142039555632] 12782714 |
1 | [5735949992090906489353677961482039554933841000971675280140446776495 : 390424011003058009745655560888781702179518217136795360867057533846102 : 64807517010817524238847968313368150757298563513664261061247625] | 105.538125934044 |
[851475019017386469000692821491115914709450071583765874490582911025557 : 70626997011270449509381699713552510350413637310175152756467843333353 : 103247099857636316808366203306676711988809138017490155042528041976910], ... |
97 |
98 | [0, -259308, 0, 19931153760, -382991356036800] 13181980 |
0 | - | - | - | 98 |
99 | [0, -264627, 0, 20756956968, -407036378158128] 13589478 |
1 | [4670442788640688004220594774931940573471213597571640909 : 456095364909701222554193454908002936082049837232072210870 : 56459661346578637704495160374260223747609771471523] | 87.2202693736987 |
[1041921265772281728499781763071025069200809363889181979453 : 129730535952879283391394853255019197036709689425037557713 : 84067970195532384075970705948774930322481844756289536362], ... > |
99 |
100 | [0, -270000, 0, 21608164800, -432326653725888] 14005292 |
2 |
[115068 : 1637712 : 1], [675010401702 : -14612013556587 : 6028568] |
2.95788911713235, 14.8692962407243 |
[65 : -3 : 43], [-772183 : 4852911111 : 2017968316], ... |
100 |
Last Update: 2023.08.16 |
H.Nakao |