Magma V2.7-1      Wed Feb  7 2001 10:42:19 on modular  [Seed = 3003690773]
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Loading startup file "/home/was/modsym/init.m"

Loading "/home/was/modsym/init-magma.m"
C               IndexGamma0     R               ellap           idxG0
CS              MS              S               factormod       modcharpoly
DC              ND              Tn              factorpadic     padiccharpoly
ES              NS              Z               fcp             qexp
F               Q               charpoly        fn              x
Victor Miller with field:  Finite field of size 123456791
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456803
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456811
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456821
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456841
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456871
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456887
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456919
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.251
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456937
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456967
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123456979
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457067
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457099
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457121
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457127
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457129
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457157
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457163
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457189
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457199
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457211
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457219
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457237
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457259
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.251
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457267
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457277
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457289
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457291
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457309
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457357
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457361
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457423
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457463
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457501
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457517
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457547
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457571
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457619
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457639
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457643
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457657
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457679
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457739
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457753
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457759
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457771
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457783
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457787
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.261
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457799
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457837
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457879
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457889
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457897
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.26
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457907
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457949
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.271
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457967
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457969
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123457987
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123458003
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123458009
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.259
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Victor Miller with field:  Finite field of size 123458039
Computing basis.
Compute the primitive Eisenstein series.
Find all pairs of integers a, b such that 4*a + 6*b = k.
Making power list.
made pow lists:  0.25
Compute generators.
There are  74  generators.
Coerce into vectors.
Compute corresponding vector space.
The space has dimension  74
Computing Hecke operator.
Breaking out after 60 iterations.
Roughly  20482  dots (up to p = 230597 )
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