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Annotation of OpenXM_contrib/pari-2.2/src/test/64/elliptic, Revision 1.1.1.1

1.1       noro        1:    echo = 1 (on)
                      2: ? ellinit([0,0,0,-1,0])
                      3: [0, 0, 0, -1, 0, 0, -2, 0, -1, 48, 0, 64, 1728, [1.0000000000000000000000000
                      4: 000000000000, 0.E-38, -1.0000000000000000000000000000000000000]~, 2.62205755
                      5: 42921198104648395898911194136, 2.6220575542921198104648395898911194136*I, -0
                      6: .59907011736779610371996124614016193910, -1.79721035210338831115988373842048
                      7: 58173*I, 6.8751858180203728274900957798105571979]
                      8: ? ellinit([0,0,0,-17,0],1)
                      9: [0, 0, 0, -17, 0, 0, -34, 0, -289, 816, 0, 314432, 1728]
                     10: ? ellj(I)
                     11: 1728.0000000000000000000000000000000000 + 0.E-54*I
                     12: ? ellsub(ellinit([0,0,0,-17,0]),[-1,4],[-4,2])
                     13: [9, -24]
                     14: ? acurve=ellinit([0,0,1,-1,0])
                     15: [0, 0, 1, -1, 0, 0, -2, 1, -1, 48, -216, 37, 110592/37, [0.83756543528332303
                     16: 544481089907503024040, 0.26959443640544455826293795134926000404, -1.10715987
                     17: 16887675937077488504242902444]~, 2.9934586462319596298320099794525081778, 2.
                     18: 4513893819867900608542248318665252253*I, -0.47131927795681147588259389708033
                     19: 769964, -1.4354565186686843187232088566788165076*I, 7.3381327407895767390707
                     20: 210033323055881]
                     21: ? apoint=[2,2]
                     22: [2, 2]
                     23: ? elladd(acurve,apoint,apoint)
                     24: [21/25, -56/125]
                     25: ? ellak(acurve,1000000007)
                     26: 43800
                     27: ? ellan(acurve,100)
                     28: [1, -2, -3, 2, -2, 6, -1, 0, 6, 4, -5, -6, -2, 2, 6, -4, 0, -12, 0, -4, 3, 1
                     29: 0, 2, 0, -1, 4, -9, -2, 6, -12, -4, 8, 15, 0, 2, 12, -1, 0, 6, 0, -9, -6, 2,
                     30:  -10, -12, -4, -9, 12, -6, 2, 0, -4, 1, 18, 10, 0, 0, -12, 8, 12, -8, 8, -6,
                     31:  -8, 4, -30, 8, 0, -6, -4, 9, 0, -1, 2, 3, 0, 5, -12, 4, 8, 9, 18, -15, 6, 0
                     32: , -4, -18, 0, 4, 24, 2, 4, 12, 18, 0, -24, 4, 12, -30, -2]
                     33: ? ellap(acurve,10007)
                     34: 66
                     35: ? ellap(acurve,10007,1)
                     36: 66
                     37: ? deu=direuler(p=2,100,1/(1-ellap(acurve,p)*x+if(acurve[12]%p,p,0)*x^2))
                     38: [1, -2, -3, 2, -2, 6, -1, 0, 6, 4, -5, -6, -2, 2, 6, -4, 0, -12, 0, -4, 3, 1
                     39: 0, 2, 0, -1, 4, -9, -2, 6, -12, -4, 8, 15, 0, 2, 12, -1, 0, 6, 0, -9, -6, 2,
                     40:  -10, -12, -4, -9, 12, -6, 2, 0, -4, 1, 18, 10, 0, 0, -12, 8, 12, -8, 8, -6,
                     41:  -8, 4, -30, 8, 0, -6, -4, 9, 0, -1, 2, 3, 0, 5, -12, 4, 8, 9, 18, -15, 6, 0
                     42: , -4, -18, 0, 4, 24, 2, 4, 12, 18, 0, -24, 4, 12, -30, -2]
                     43: ? ellan(acurve,100)==deu
                     44: 1
                     45: ? ellisoncurve(acurve,apoint)
                     46: 1
                     47: ? acurve=ellchangecurve(acurve,[-1,1,2,3])
                     48: [-4, -1, -7, -12, -12, 12, 4, 1, -1, 48, -216, 37, 110592/37, [-0.1624345647
                     49: 1667696455518910092496975959, -0.73040556359455544173706204865073999595, -2.
                     50: 1071598716887675937077488504242902444]~, -2.99345864623195962983200997945250
                     51: 81778, -2.4513893819867900608542248318665252253*I, 0.47131927795681147588259
                     52: 389708033769964, 1.4354565186686843187232088566788165076*I, 7.33813274078957
                     53: 67390707210033323055881]
                     54: ? apoint=ellchangepoint(apoint,[-1,1,2,3])
                     55: [1, 3]
                     56: ? ellisoncurve(acurve,apoint)
                     57: 1
                     58: ? ellglobalred(acurve)
                     59: [37, [1, -1, 2, 2], 1]
                     60: ? ellheight(acurve,apoint)
                     61: 0.40889126591975072188708879805553617287
                     62: ? ellheight(acurve,apoint,1)
                     63: 0.40889126591975072188708879805553617296
                     64: ? ellordinate(acurve,1)
                     65: [8, 3]
                     66: ? ellztopoint(acurve,ellpointtoz(acurve,apoint))
                     67: [0.99999999999999999999999999999999999990 + 0.E-38*I, 2.99999999999999999999
                     68: 99999999999999998 + 0.E-38*I]
                     69: ? ellpow(acurve,apoint,10)
                     70: [-28919032218753260057646013785951999/292736325329248127651484680640160000,
                     71: 478051489392386968218136375373985436596569736643531551/158385319626308443937
                     72: 475969221994173751192384064000000]
                     73: ? ellwp(acurve)
                     74: x^-2 + 1/5*x^2 - 1/28*x^4 + 1/75*x^6 - 3/1540*x^8 + 1943/3822000*x^10 - 1/11
                     75: 550*x^12 + 193/10510500*x^14 - 1269/392392000*x^16 + 21859/34684650000*x^18
                     76: - 1087/9669660000*x^20 + 22179331/1060517858400000*x^22 - 463/124093970000*x
                     77: ^24 + 47495017/70175140035000000*x^26 - 34997918161/291117454720092000000*x^
                     78: 28 + O(x^30)
                     79: ? ellpointtoz(acurve,apoint)
                     80: 0.72491221490962306778878739838332384646 + 0.E-77*I
                     81: ? q*Ser(ellan(acurve,100),q)
                     82: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 -
                     83: 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*
                     84: q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31
                     85: + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*
                     86: q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q
                     87: ^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^6
                     88: 2 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 -
                     89:  q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q
                     90: ^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^
                     91: 92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 - 2*q^100 + O(
                     92: q^101)
                     93: ? bcurve=ellinit([0,0,0,-3,0])
                     94: [0, 0, 0, -3, 0, 0, -6, 0, -9, 144, 0, 1728, 1728, [1.7320508075688772935274
                     95: 463415058723669, 0.E-38, -1.7320508075688772935274463415058723669]~, 1.99233
                     96: 28995834907073368080310227454215, 1.9923328995834907073368080310227454215*I,
                     97:  -0.78842061340415606811560792095228873037, -2.36526184021246820434682376285
                     98: 68661911*I, 3.9693903827627596663162680332564652027]
                     99: ? elllocalred(bcurve,2)
                    100: [6, 2, [1, 1, 1, 0], 1]
                    101: ? elltaniyama(bcurve)
                    102: [x^-2 - x^2 + 3*x^6 - 2*x^10 + 7*x^14 + O(x^15), -x^-3 + 3*x - 3*x^5 + 8*x^9
                    103:  - 9*x^13 + O(x^14)]
                    104: ? ccurve=ellinit([0,0,-1,-1,0])
                    105: [0, 0, -1, -1, 0, 0, -2, 1, -1, 48, -216, 37, 110592/37, [0.8375654352833230
                    106: 3544481089907503024040, 0.26959443640544455826293795134926000404, -1.1071598
                    107: 716887675937077488504242902444]~, 2.9934586462319596298320099794525081778, 2
                    108: .4513893819867900608542248318665252253*I, -0.4713192779568114758825938970803
                    109: 3769964, -1.4354565186686843187232088566788165076*I, 7.338132740789576739070
                    110: 7210033323055881]
                    111: ? l=elllseries(ccurve,2)
                    112: 0.38157540826071121129371040958008663666
                    113: ? elllseries(ccurve,2,1.2)-l
                    114: 1.322431144675073446 E-38
                    115: ? tcurve=ellinit([1,0,1,-19,26]);
                    116: ? ellorder(tcurve,[1,2])
                    117: 6
                    118: ? elltors(tcurve)
                    119: [12, [6, 2], [[-2, 8], [3, -2]]]
                    120: ? mcurve=ellinit([0,0,0,-17,0])
                    121: [0, 0, 0, -17, 0, 0, -34, 0, -289, 816, 0, 314432, 1728, [4.1231056256176605
                    122: 498214098559740770251, 0.E-38, -4.1231056256176605498214098559740770251]~, 1
                    123: .2913084409290072207105564235857096009, 1.2913084409290072207105564235857096
                    124: 009*I, -1.2164377440798088266474269946818791934, -3.649313232239426479942280
                    125: 9840456375802*I, 1.6674774896145033307120230298772362381]
                    126: ? mpoints=[[-1,4],[-4,2]]~
                    127: [[-1, 4], [-4, 2]]~
                    128: ? mhbi=ellbil(mcurve,mpoints,[9,24])
                    129: [-0.72448571035980184146215805860545027438, 1.307328627832055544492943428892
                    130: 1943055]~
                    131: ? ma=ellheightmatrix(mcurve,mpoints)
                    132:
                    133: [1.1721830987006970106016415566698834134 0.447697388340895169139483498064433
                    134: 13905]
                    135:
                    136: [0.44769738834089516913948349806443313905 1.75502601617295071363242692695662
                    137: 74446]
                    138:
                    139: ? matsolve(ma,mhbi)
                    140: [-0.99999999999999999999999999999999999996, 0.999999999999999999999999999999
                    141: 99999997]~
                    142: ? cmcurve=ellinit([0,-3/4,0,-2,-1])
                    143: [0, -3/4, 0, -2, -1, -3, -4, -4, -1, 105, 1323, -343, -3375, [2.000000000000
                    144: 0000000000000000000000000, -0.62500000000000000000000000000000000000 + 0.330
                    145: 71891388307382381270196920490755321*I, -0.6250000000000000000000000000000000
                    146: 0000 - 0.33071891388307382381270196920490755321*I]~, 1.933311705616811546733
                    147: 0768390298137310, 0.96665585280840577336653841951490686552 + 2.5575309899160
                    148: 994790492257969408742846*I, -0.85584863309985585256414907906657726119 + 4.98
                    149: 6061280778447916 E-39*I, -0.42792431654992792628207453953328863060 - 2.75716
                    150: 12171661472068745043203629203178*I, 4.9445046002825467364981969681843776438]
                    151: ? ellpow(cmcurve,[x,y],quadgen(-7))
                    152: [((-2 + 3*w)*x^2 + (6 - w))/((-2 - 5*w)*x + (-4 - 2*w)), ((34 - 11*w)*y*x^2
                    153: + (40 - 28*w)*y*x + (22 + 23*w)*y)/((-90 - w)*x^2 + (-136 + 44*w)*x + (-40 +
                    154:  28*w))]
                    155: ? \p96
                    156:    realprecision = 96 significant digits
                    157: ? precision(cmcurve)
                    158: 38
                    159: ? getheap
                    160: [56, 4347]
                    161: ? print("Total time spent: ",gettime);
                    162: Total time spent: 422
                    163: ? \q

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