forked from mirrors/nixpkgs
132 lines
6.3 KiB
Diff
132 lines
6.3 KiB
Diff
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diff --git a/src/sage/libs/eclib/interface.py b/src/sage/libs/eclib/interface.py
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index e898456720..6b98c12328 100644
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--- a/src/sage/libs/eclib/interface.py
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+++ b/src/sage/libs/eclib/interface.py
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@@ -758,78 +758,78 @@ class mwrank_MordellWeil(SageObject):
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sage: EQ = mwrank_MordellWeil(E, verbose=True)
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sage: EQ.search(1)
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- P1 = [0:1:0] is torsion point, order 1
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- P1 = [-3:0:1] is generator number 1
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- saturating up to 20...Checking 2-saturation
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+ P1 = [0:1:0] is torsion point, order 1
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+ P1 = [-3:0:1] is generator number 1
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+ saturating up to 20...Checking 2-saturation...
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Points have successfully been 2-saturated (max q used = 7)
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- Checking 3-saturation
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+ Checking 3-saturation...
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Points have successfully been 3-saturated (max q used = 7)
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- Checking 5-saturation
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+ Checking 5-saturation...
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Points have successfully been 5-saturated (max q used = 23)
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- Checking 7-saturation
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+ Checking 7-saturation...
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Points have successfully been 7-saturated (max q used = 41)
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- Checking 11-saturation
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+ Checking 11-saturation...
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Points have successfully been 11-saturated (max q used = 17)
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- Checking 13-saturation
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+ Checking 13-saturation...
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Points have successfully been 13-saturated (max q used = 43)
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- Checking 17-saturation
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+ Checking 17-saturation...
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Points have successfully been 17-saturated (max q used = 31)
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- Checking 19-saturation
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+ Checking 19-saturation...
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Points have successfully been 19-saturated (max q used = 37)
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done
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- P2 = [-2:3:1] is generator number 2
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- saturating up to 20...Checking 2-saturation
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+ P2 = [-2:3:1] is generator number 2
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+ saturating up to 20...Checking 2-saturation...
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possible kernel vector = [1,1]
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This point may be in 2E(Q): [14:-52:1]
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...and it is!
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Replacing old generator #1 with new generator [1:-1:1]
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Points have successfully been 2-saturated (max q used = 7)
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Index gain = 2^1
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- Checking 3-saturation
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+ Checking 3-saturation...
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Points have successfully been 3-saturated (max q used = 13)
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- Checking 5-saturation
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+ Checking 5-saturation...
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Points have successfully been 5-saturated (max q used = 67)
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- Checking 7-saturation
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+ Checking 7-saturation...
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Points have successfully been 7-saturated (max q used = 53)
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- Checking 11-saturation
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+ Checking 11-saturation...
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Points have successfully been 11-saturated (max q used = 73)
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- Checking 13-saturation
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+ Checking 13-saturation...
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Points have successfully been 13-saturated (max q used = 103)
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- Checking 17-saturation
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+ Checking 17-saturation...
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Points have successfully been 17-saturated (max q used = 113)
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- Checking 19-saturation
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+ Checking 19-saturation...
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Points have successfully been 19-saturated (max q used = 47)
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done (index = 2).
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Gained index 2, new generators = [ [1:-1:1] [-2:3:1] ]
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- P3 = [-14:25:8] is generator number 3
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- saturating up to 20...Checking 2-saturation
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+ P3 = [-14:25:8] is generator number 3
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+ saturating up to 20...Checking 2-saturation...
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Points have successfully been 2-saturated (max q used = 11)
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- Checking 3-saturation
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+ Checking 3-saturation...
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Points have successfully been 3-saturated (max q used = 13)
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- Checking 5-saturation
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+ Checking 5-saturation...
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Points have successfully been 5-saturated (max q used = 71)
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- Checking 7-saturation
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+ Checking 7-saturation...
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Points have successfully been 7-saturated (max q used = 101)
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- Checking 11-saturation
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+ Checking 11-saturation...
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Points have successfully been 11-saturated (max q used = 127)
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- Checking 13-saturation
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+ Checking 13-saturation...
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Points have successfully been 13-saturated (max q used = 151)
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- Checking 17-saturation
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+ Checking 17-saturation...
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Points have successfully been 17-saturated (max q used = 139)
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- Checking 19-saturation
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+ Checking 19-saturation...
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Points have successfully been 19-saturated (max q used = 179)
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done (index = 1).
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- P4 = [-1:3:1] = -1*P1 + -1*P2 + -1*P3 (mod torsion)
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- P4 = [0:2:1] = 2*P1 + 0*P2 + 1*P3 (mod torsion)
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- P4 = [2:13:8] = -3*P1 + 1*P2 + -1*P3 (mod torsion)
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- P4 = [1:0:1] = -1*P1 + 0*P2 + 0*P3 (mod torsion)
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- P4 = [2:0:1] = -1*P1 + 1*P2 + 0*P3 (mod torsion)
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- P4 = [18:7:8] = -2*P1 + -1*P2 + -1*P3 (mod torsion)
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- P4 = [3:3:1] = 1*P1 + 0*P2 + 1*P3 (mod torsion)
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- P4 = [4:6:1] = 0*P1 + -1*P2 + -1*P3 (mod torsion)
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- P4 = [36:69:64] = 1*P1 + -2*P2 + 0*P3 (mod torsion)
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- P4 = [68:-25:64] = -2*P1 + -1*P2 + -2*P3 (mod torsion)
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- P4 = [12:35:27] = 1*P1 + -1*P2 + -1*P3 (mod torsion)
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+ P4 = [-1:3:1] = -1*P1 + -1*P2 + -1*P3 (mod torsion)
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+ P4 = [0:2:1] = 2*P1 + 0*P2 + 1*P3 (mod torsion)
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+ P4 = [2:13:8] = -3*P1 + 1*P2 + -1*P3 (mod torsion)
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+ P4 = [1:0:1] = -1*P1 + 0*P2 + 0*P3 (mod torsion)
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+ P4 = [2:0:1] = -1*P1 + 1*P2 + 0*P3 (mod torsion)
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+ P4 = [18:7:8] = -2*P1 + -1*P2 + -1*P3 (mod torsion)
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+ P4 = [3:3:1] = 1*P1 + 0*P2 + 1*P3 (mod torsion)
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+ P4 = [4:6:1] = 0*P1 + -1*P2 + -1*P3 (mod torsion)
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+ P4 = [36:69:64] = 1*P1 + -2*P2 + 0*P3 (mod torsion)
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+ P4 = [68:-25:64] = -2*P1 + -1*P2 + -2*P3 (mod torsion)
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+ P4 = [12:35:27] = 1*P1 + -1*P2 + -1*P3 (mod torsion)
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sage: EQ
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Subgroup of Mordell-Weil group: [[1:-1:1], [-2:3:1], [-14:25:8]]
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@@ -1076,7 +1076,7 @@ class mwrank_MordellWeil(SageObject):
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sage: EQ.search(1)
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P1 = [0:1:0] is torsion point, order 1
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P1 = [-3:0:1] is generator number 1
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- saturating up to 20...Checking 2-saturation
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+ saturating up to 20...Checking 2-saturation...
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...
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P4 = [12:35:27] = 1*P1 + -1*P2 + -1*P3 (mod torsion)
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sage: EQ
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