results/anemoi_pBN-254_n1_l1_a7_mPCICO_o1.txt

Model: PCICO. Use final LL: True.
====================================================================================================
ANEMOI GF(21888242871839275222246405745257275088548364400416034343698204186575808495617^1), alpha = 7, QUAD = 2. With final LL. Model: PCICO
rmax = 10, tmax = 3600.
====================================================================================================
====================================================================================================
n_r: 1, n_v: 2, n_e: 2, mdeg: 7
degs = [7, 2]
Multivariate Polynomial Ring in Y0000, S0100 over Finite Field of size 21888242871839275222246405745257275088548364400416034343698204186575808495617
----------------------------------------------------------------------------------------------------
Starting GB computation... (r=1)
********************
FAUGERE F4 ALGORITHM
********************
Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 2
Order: Graded Reverse Lexicographical
NEW hash table
Matrix kind: Generic finite field
Generic field
Datum size: 4
No queue sort
Initial length: 2
Inhomogeneous

Initial queue setup time: 0.000
Initial queue length: 1

*******
STEP 1
Basis length: 2, queue length: 1, step degree: 8, num pairs: 1
Basis total mons: 9, average length: 4.500
Number of pair polynomials: 1, at 8 column(s), 0.000
Average length for reductees: 5.00 [1], reductors: 4.70 [10]
Symbolic reduction time: 0.000, column sort time: 0.000
1 + 10 = 11 rows / 20 columns out of 45 (44.444%)
Density: 23.636% / 40.368% (4.7273/r), total: 52 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (100.0%), min deg: 6 [1], av deg: 6.0
Degree counts: 6:1
Queue insertion time: 0.000
New max step: 1, time: 0.000
Step 1 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 2
Basis length: 3, queue length: 2, step degree: 7, num pairs: 2
Basis total mons: 19, average length: 6.333
Number of pair polynomials: 2, at 20 column(s), 0.000
Average length for reductees: 10.00 [2], reductors: 5.36 [11]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 11 = 13 rows / 21 columns out of 36 (58.333%)
Density: 28.938% / 45.124% (6.0769/r), total: 79 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 5 [1], av deg: 5.0
Degree counts: 5:1
Queue insertion time: 0.000
Step 2 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 3
Basis length: 4, queue length: 2, step degree: 6, num pairs: 2
Basis total mons: 29, average length: 7.250
Number of pair polynomials: 2, at 20 column(s), 0.000
Average length for reductees: 10.00 [2], reductors: 5.77 [13]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 13 = 15 rows / 23 columns out of 28 (82.143%)
Density: 27.536% / 44.069% (6.3333/r), total: 95 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 5 [1], av deg: 5.0
Degree counts: 5:1
Queue insertion time: 0.000
Step 3 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 4
Basis length: 5, queue length: 1, step degree: 6, num pairs: 1
Basis total mons: 39, average length: 7.800
Number of pair polynomials: 1, at 13 column(s), 0.000
Average length for reductees: 10.00 [1], reductors: 5.83 [18]
Symbolic reduction time: 0.000, column sort time: 0.000
1 + 18 = 19 rows / 27 columns out of 28 (96.429%)
Density: 22.417% / 38.702% (6.0526/r), total: 115 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [0]
After ech memory: 32.1MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 4 time: 0.000, [0.003], mat/total: 0.000/0.000, mem: 32.1MB (=max)

Reduce 5 final polynomial(s) by 5
0 redundant polynomial(s) removed; time: 0.000
Interreduce 3 (out of range [0 .. 4] = 5) polynomial(s)
Symbolic reduction time: 0.000
Column sort time: 0.000
3 + 0 = 3 rows / 12 columns
Density: 69.444% / 91.414% (8.3333/r), total: 25 (0.0MB)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [3]
Total reduction time: 0.000
Reduction time: 0.000
Final number of polynomials: 5

Final basis length: 3
Number of pairs: 6
Max step: 1, time: 0.000
Max num entries matrix: 19 by 27
Max num rows matrix: 19 by 27
Approx mat cost: 740.829, sym red cost: 366
Total pair setup time: 0.000
Total symbolic reduction time: 0.000
Total column sort time: 0.000
Total row sort time: 0.000
Total matrix time: 0.000
Total new polys time: 0.000
Total queue update time: 0.000
Total Faugere F4 time: 0.000, real time: 0.013
Time: 0.000
dregs = [ 8, 7, 6, 6 ]
----------------------------------------------------------------------------------------------------
Starting FGLM computation... (r=1)
*****************
FGLM ORDER CHANGE
*****************

Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 2
Initial order: Graded Reverse Lexicographical
Final order: Lexicographical
Basis length: 3
Quotient dimension: 9

Step 1, 0 columns
Monomial 0: 1
Row 0: pivot 0

Step 2, 1 columns
Monomial 1: S0100
Best monomial: 1
Row 1: pivot 1

Step 3, 2 columns
Monomial 2: S0100^2
Best monomial: S0100
Row 2: pivot 2

Step 4, 3 columns
Monomial 3: S0100^3
Best monomial: S0100^2
Row 3: pivot 3

Step 5, 4 columns
Monomial 4: S0100^4
Best monomial: S0100^3
Row 4: pivot 4

Step 6, 5 columns
Monomial 5: S0100^5
Best monomial: S0100^4
Row 5: pivot 5

Step 7, 9 columns
Monomial 6: S0100^6
Best monomial: S0100^5
Row 6: pivot 6

Step 8, 9 columns
Monomial 7: S0100^7
Best monomial: S0100^6
Row 7: pivot 7

Step 9, 9 columns
Monomial 8: S0100^8
Best monomial: S0100^7
Row 8: pivot 8

Step 10, 9 columns
Monomial 9: S0100^9
Best monomial: S0100^8
Row 9: pivot -1
New polynomial 0, leading monomial: S0100^9, 0.000
Polynomial: S0100^9 + 19699418584655347700021765170731547579693527960374430909328383767918227646055*S0100^8 + 1258573965130758325279168330352293317591530953023921974762646740728108988498*S0100^7 + 16416182153879456416684804308942956316411273300312025757773653139931856371714*S0100^4 + 16416182153879456416684804308942956316411273300312025757773653139931856371712*S0100^3 + 14500960902593519834738243806232944746163291415275622752700060273606473128280*S0100^2 + 19425815548757356759743685098915831641086673405369230480032156215586030039880*S0100 + 11436606900536021303623747001896926233766520399217377944582311687485859939846

Step 11, 9 columns
Monomial 9: Y0000
Best monomial: 1
Row 9: pivot -1
New polynomial 1, leading monomial: Y0000, 0.000
Polynomial: Y0000 + 9965629295153016479365963700322127404514983810415518779432159200436476088679*S0100^8 + 21487810621158286511453831477471819732298535048874508243968290515839127507096*S0100^7 + 17929097336901089404769056061716978027780820863123407060214750047189547234753*S0100^3 + 14914561213825748751212650804747498730474413232031302883786476874669302664759*S0100^2 + 4829828992829156142482741937596876912305634024747022495203881813193198384621*S0100 + 11199782026739038095706154135907043656341380940038376143215123898450554417669
Total FGLM time: 0.000
Time: 0.000
unideg = 9
----------------------------------------------------------------------------------------------------
Starting UNIV SOLVING computation... (r=1)
Time: 0.010
nsols = 0
----------------------------------------------------------------------------------------------------
Starting MULTIPLICITY computation... (r=1)
nsols_mult = 0
====================================================================================================
n_r: 2, n_v: 3, n_e: 3, mdeg: 7
degs = [7, 7, 3]
Multivariate Polynomial Ring in Y0000, S0200, S0100 over Finite Field of size 21888242871839275222246405745257275088548364400416034343698204186575808495617
----------------------------------------------------------------------------------------------------
Starting GB computation... (r=2)
********************
FAUGERE F4 ALGORITHM
********************
Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 3
Order: Graded Reverse Lexicographical
NEW hash table
Matrix kind: Generic finite field
Generic field
Datum size: 4
No queue sort
Initial length: 3
Inhomogeneous

Initial queue setup time: 0.000
Initial queue length: 2

*******
STEP 1
Basis length: 3, queue length: 2, step degree: 9, num pairs: 2
Basis total mons: 28, average length: 9.333
Number of pair polynomials: 2, at 37 column(s), 0.000
Average length for reductees: 11.00 [2], reductors: 9.80 [25]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 25 = 27 rows / 82 columns out of 220 (37.273%)
Density: 12.06% / 20.519% (9.8889/r), total: 267 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (100.0%), min deg: 7 [1], av deg: 7.5
Degree counts: 7:1 8:1
Queue insertion time: 0.000
New max step: 1, time: 0.000
Step 1 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 2
Basis length: 5, queue length: 5, step degree: 8, num pairs: 2
Basis total mons: 102, average length: 20.400
Number of pair polynomials: 2, at 75 column(s), 0.000
Average length for reductees: 40.00 [2], reductors: 12.08 [26]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 26 = 28 rows / 83 columns out of 165 (50.303%)
Density: 16.954% / 26.692% (14.071/r), total: 394 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 8 [1], av deg: 8.0
Degree counts: 8:1
Queue insertion time: 0.000
Step 2 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 3
Basis length: 6, queue length: 6, step degree: 9, num pairs: 4
Basis total mons: 150, average length: 25.000
Number of pair polynomials: 4, at 109 column(s), 0.000
Average length for reductees: 41.00 [4], reductors: 13.42 [43]
Symbolic reduction time: 0.000, column sort time: 0.000
4 + 43 = 47 rows / 116 columns out of 220 (52.727%)
Density: 13.591% / 21.579% (15.766/r), total: 741 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (50.0%), min deg: 8 [2], av deg: 8.0
Degree counts: 8:2
Queue insertion time: 0.000
Step 3 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 4
Basis length: 8, queue length: 6, step degree: 9, num pairs: 3
Basis total mons: 265, average length: 33.125
Number of pair polynomials: 3, at 106 column(s), 0.000
Average length for reductees: 54.33 [3], reductors: 14.72 [54]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 54 = 57 rows / 128 columns out of 220 (58.182%)
Density: 13.13% / 20.662% (16.807/r), total: 958 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000[r] + 0.000 = 0.000[r] [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (33.3%), min deg: 9 [1], av deg: 9.0
Degree counts: 9:1
Queue insertion time: 0.000
New max step: 4, time: 0.002[r]
Step 4 time: 0.002[r], [0.002], mat/total: 0.020/0.009[r], mem: 32.1MB (=max)

*******
STEP 5
Basis length: 9, queue length: 6, step degree: 10, num pairs: 3
Basis total mons: 321, average length: 35.667
Number of pair polynomials: 3, at 138 column(s), 0.000
Average length for reductees: 59.67 [3], reductors: 15.21 [78]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 78 = 81 rows / 159 columns out of 286 (55.594%)
Density: 10.599% / 17.139% (16.852/r), total: 1365 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (66.7%), min deg: 8 [1], av deg: 8.5
Degree counts: 8:1 9:1
Queue insertion time: 0.000
Step 5 time: 0.000, [0.002], mat/total: 0.020/0.010[r], mem: 32.1MB (=max)

*******
STEP 6
Basis length: 11, queue length: 9, step degree: 9, num pairs: 3
Basis total mons: 481, average length: 43.727
Number of pair polynomials: 3, at 156 column(s), 0.000
Average length for reductees: 80.00 [3], reductors: 17.97 [75]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 75 = 78 rows / 165 columns out of 220 (75.000%)
Density: 12.339% / 19.142% (20.359/r), total: 1588 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [3]
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (100.0%), min deg: 8 [3], av deg: 8.0
Degree counts: 8:3
Queue insertion time: 0.000
Step 6 time: 0.000, [0.003], mat/total: 0.020/0.013[r], mem: 32.1MB (=max)

*******
STEP 7
Basis length: 14, queue length: 13, step degree: 9, num pairs: 6
Basis total mons: 732, average length: 52.286
Number of pair polynomials: 6, at 170 column(s), 0.000
Average length for reductees: 83.33 [6], reductors: 20.02 [107]
Symbolic reduction time: 0.000, column sort time: 0.000
6 + 107 = 113 rows / 198 columns out of 220 (90.000%)
Density: 11.808% / 18.269% (23.381/r), total: 2642 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [4]
After ech memory: 32.1MB (=max)
Num new polynomials: 4 (66.7%), min deg: 8 [4], av deg: 8.0
Degree counts: 8:4
Queue insertion time: 0.000
Step 7 time: 0.000, [0.004], mat/total: 0.020/0.019[r], mem: 32.1MB (=max)

*******
STEP 8
Basis length: 18, queue length: 18, step degree: 9, num pairs: 9
Basis total mons: 1066, average length: 59.222
Number of pair polynomials: 9, at 169 column(s), 0.000
Average length for reductees: 83.44 [9], reductors: 22.52 [105]
Symbolic reduction time: 0.000, column sort time: 0.000
9 + 105 = 114 rows / 191 columns out of 220 (86.818%)
Density: 14.311% / 21.088% (27.333/r), total: 3116 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [3]
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (33.3%), min deg: 8 [3], av deg: 8.0
Degree counts: 8:3
Queue insertion time: 0.000
Step 8 time: 0.000, [0.005], mat/total: 0.020/0.020, mem: 32.1MB (=max)

*******
STEP 9
Basis length: 21, queue length: 16, step degree: 9, num pairs: 7
Basis total mons: 1317, average length: 62.714
Number of pair polynomials: 7, at 168 column(s), 0.000[r]
Average length for reductees: 83.57 [7], reductors: 26.72 [102]
Symbolic reduction time: 0.000, column sort time: 0.000
7 + 102 = 109 rows / 186 columns out of 220 (84.545%)
Density: 16.326% / 23.297% (30.367/r), total: 3310 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [3]
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (42.9%), min deg: 7 [1], av deg: 7.7
Degree counts: 7:1 8:2
Queue insertion time: 0.000
New max step: 9, time: 0.005[r]
Step 9 time: 0.004[r], [0.005], mat/total: 0.020/0.029[r], mem: 32.1MB (=max)

*******
STEP 10
Basis length: 24, queue length: 15, step degree: 8, num pairs: 3
Basis total mons: 1563, average length: 65.125
Number of pair polynomials: 3, at 152 column(s), 0.000
Average length for reductees: 82.00 [3], reductors: 25.84 [81]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 81 = 84 rows / 162 columns out of 165 (98.182%)
Density: 17.188% / 24.447% (27.845/r), total: 2339 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [0]
After ech memory: 32.1MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 10 time: 0.000, [0.002], mat/total: 0.020/0.030, mem: 32.1MB (=max)

*******
STEP 11
Basis length: 24, queue length: 12, step degree: 9, num pairs: 3
Basis total mons: 1563, average length: 65.125
Number of pair polynomials: 3, at 153 column(s), 0.000
Average length for reductees: 82.00 [3], reductors: 25.94 [83]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 83 = 86 rows / 164 columns out of 220 (74.545%)
Density: 17.009% / 24.259% (27.895/r), total: 2399 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [0]
After ech memory: 32.1MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 11 time: 0.000, [0.003], mat/total: 0.020/0.030, mem: 32.1MB (=max)

*******
STEP 12
Basis length: 24, queue length: 9, step degree: 10, num pairs: 5
Basis total mons: 1563, average length: 65.125
5 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 13
Basis length: 24, queue length: 4, step degree: 11, num pairs: 1
Basis total mons: 1563, average length: 65.125
1 pair eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 14
Basis length: 24, queue length: 3, step degree: 12, num pairs: 2
Basis total mons: 1563, average length: 65.125
2 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 15
Basis length: 24, queue length: 1, step degree: 13, num pairs: 1
Basis total mons: 1563, average length: 65.125
1 pair eliminated
No pairs to reduce
Pair elimination time: 0.000

Reduce 24 final polynomial(s) by 24
1 redundant polynomial(s) removed; time: 0.000
Interreduce 19 (out of range [0 .. 23] = 24) polynomial(s)
Symbolic reduction time: 0.000
Column sort time: 0.000
19 + 1 = 20 rows / 101 columns
Density: 62.426% / 71.782% (63.05/r), total: 1261 (0.0MB)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [19]
Total reduction time: 0.000
Reduction time: 0.000
Final number of polynomials: 23

Final basis length: 19
Number of pairs: 45
Max step: 9, time: 0.005
Max num entries matrix: 113 by 198
Max num rows matrix: 114 by 191
Approx mat cost: 137199, sym red cost: 20380
Total pair setup time: 0.010
Total symbolic reduction time: 0.000
Total column sort time: 0.000
Total row sort time: 0.000
Total matrix time: 0.020
Total new polys time: 0.000
Total queue update time: 0.000
Total Faugere F4 time: 0.030, real time: 0.041
Time: 0.030
dregs = [ 9, 8, 9, 9, 10, 9, 9, 9, 9, 8, 9, 10, 11, 12, 13 ]
----------------------------------------------------------------------------------------------------
Starting FGLM computation... (r=2)
*****************
FGLM ORDER CHANGE
*****************

Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 3
Initial order: Graded Reverse Lexicographical
Final order: Lexicographical
Basis length: 19
Quotient dimension: 81

Step 1, 0 columns
Monomial 0: 1
Row 0: pivot 0

Step 2, 1 columns
Monomial 1: S0100
Best monomial: 1
Row 1: pivot 1

Step 3, 2 columns
Monomial 2: S0100^2
Best monomial: S0100
Row 2: pivot 2

Step 4, 3 columns
Monomial 3: S0100^3
Best monomial: S0100^2
Row 3: pivot 3

Step 5, 4 columns
Monomial 4: S0100^4
Best monomial: S0100^3
Row 4: pivot 4

Step 6, 5 columns
Monomial 5: S0100^5
Best monomial: S0100^4
Row 5: pivot 5

Step 7, 6 columns
Monomial 6: S0100^6
Best monomial: S0100^5
Row 6: pivot 6

Step 8, 7 columns
Monomial 7: S0100^7
Best monomial: S0100^6
Row 7: pivot 7

Step 9, 18 columns
Monomial 8: S0100^8
Best monomial: S0100^7
Row 8: pivot 10

Step 10, 20 columns
Monomial 9: S0100^9
Best monomial: S0100^8
Row 9: pivot 13

Step 11, 22 columns
Monomial 10: S0100^10
Best monomial: S0100^9
Row 10: pivot 14

Step 12, 25 columns
Monomial 11: S0100^11
Best monomial: S0100^10
Row 11: pivot 18

Step 13, 28 columns
Monomial 12: S0100^12
Best monomial: S0100^11
Row 12: pivot 20

Step 14, 31 columns
Monomial 13: S0100^13
Best monomial: S0100^12
Row 13: pivot 8

Step 15, 42 columns
Monomial 14: S0100^14
Best monomial: S0100^13
Row 14: pivot 9

Step 16, 43 columns
Monomial 15: S0100^15
Best monomial: S0100^14
Row 15: pivot 11

Step 17, 50 columns
Monomial 16: S0100^16
Best monomial: S0100^15
Row 16: pivot 12

Step 18, 50 columns
Monomial 17: S0100^17
Best monomial: S0100^16
Row 17: pivot 15

Step 19, 53 columns
Monomial 18: S0100^18
Best monomial: S0100^17
Row 18: pivot 16

Step 20, 56 columns
Monomial 19: S0100^19
Best monomial: S0100^18
Row 19: pivot 17

Step 21, 60 columns
Monomial 20: S0100^20
Best monomial: S0100^19
Row 20: pivot 19

Step 22, 64 columns
Monomial 21: S0100^21
Best monomial: S0100^20
Row 21: pivot 21

Step 23, 81 columns
Monomial 22: S0100^22
Best monomial: S0100^21
Row 22: pivot 22

Step 24, 81 columns
Monomial 23: S0100^23
Best monomial: S0100^22
Row 23: pivot 23

Step 25, 81 columns
Monomial 24: S0100^24
Best monomial: S0100^23
Row 24: pivot 24

Step 26, 81 columns
Monomial 25: S0100^25
Best monomial: S0100^24
Row 25: pivot 25

Step 27, 81 columns
Monomial 26: S0100^26
Best monomial: S0100^25
Row 26: pivot 26

Step 28, 81 columns
Monomial 27: S0100^27
Best monomial: S0100^26
Row 27: pivot 27

Step 29, 81 columns
Monomial 28: S0100^28
Best monomial: S0100^27
Row 28: pivot 28

Step 30, 81 columns
Monomial 29: S0100^29
Best monomial: S0100^28
Row 29: pivot 29

Step 31, 81 columns
Monomial 30: S0100^30
Best monomial: S0100^29
Row 30: pivot 30

Step 32, 81 columns
Monomial 31: S0100^31
Best monomial: S0100^30
Row 31: pivot 31

Step 33, 81 columns
Monomial 32: S0100^32
Best monomial: S0100^31
Row 32: pivot 32

Step 34, 81 columns
Monomial 33: S0100^33
Best monomial: S0100^32
Row 33: pivot 33

Step 35, 81 columns
Monomial 34: S0100^34
Best monomial: S0100^33
Row 34: pivot 34

Step 36, 81 columns
Monomial 35: S0100^35
Best monomial: S0100^34
Row 35: pivot 35

Step 37, 81 columns
Monomial 36: S0100^36
Best monomial: S0100^35
Row 36: pivot 36

Step 38, 81 columns
Monomial 37: S0100^37
Best monomial: S0100^36
Row 37: pivot 37

Step 39, 81 columns
Monomial 38: S0100^38
Best monomial: S0100^37
Row 38: pivot 38

Step 40, 81 columns
Monomial 39: S0100^39
Best monomial: S0100^38
Row 39: pivot 39

Step 41, 81 columns
Monomial 40: S0100^40
Best monomial: S0100^39
Row 40: pivot 40

Step 42, 81 columns
Monomial 41: S0100^41
Best monomial: S0100^40
Row 41: pivot 41

Step 43, 81 columns
Monomial 42: S0100^42
Best monomial: S0100^41
Row 42: pivot 42

Step 44, 81 columns
Monomial 43: S0100^43
Best monomial: S0100^42
Row 43: pivot 43

Step 45, 81 columns
Monomial 44: S0100^44
Best monomial: S0100^43
Row 44: pivot 44

Step 46, 81 columns
Monomial 45: S0100^45
Best monomial: S0100^44
Row 45: pivot 45

Step 47, 81 columns
Monomial 46: S0100^46
Best monomial: S0100^45
Row 46: pivot 46

Step 48, 81 columns
Monomial 47: S0100^47
Best monomial: S0100^46
Row 47: pivot 47

Step 49, 81 columns
Monomial 48: S0100^48
Best monomial: S0100^47
Row 48: pivot 48

Step 50, 81 columns
Monomial 49: S0100^49
Best monomial: S0100^48
Row 49: pivot 49

Step 51, 81 columns
Monomial 50: S0100^50
Best monomial: S0100^49
Row 50: pivot 50

Step 52, 81 columns
Monomial 51: S0100^51
Best monomial: S0100^50
Row 51: pivot 51

Step 53, 81 columns
Monomial 52: S0100^52
Best monomial: S0100^51
Row 52: pivot 52

Step 54, 81 columns
Monomial 53: S0100^53
Best monomial: S0100^52
Row 53: pivot 53

Step 55, 81 columns
Monomial 54: S0100^54
Best monomial: S0100^53
Row 54: pivot 54

Step 56, 81 columns
Monomial 55: S0100^55
Best monomial: S0100^54
Row 55: pivot 55

Step 57, 81 columns
Monomial 56: S0100^56
Best monomial: S0100^55
Row 56: pivot 56

Step 58, 81 columns
Monomial 57: S0100^57
Best monomial: S0100^56
Row 57: pivot 57

Step 59, 81 columns
Monomial 58: S0100^58
Best monomial: S0100^57
Row 58: pivot 58

Step 60, 81 columns
Monomial 59: S0100^59
Best monomial: S0100^58
Row 59: pivot 59

Step 61, 81 columns
Monomial 60: S0100^60
Best monomial: S0100^59
Row 60: pivot 60

Step 62, 81 columns
Monomial 61: S0100^61
Best monomial: S0100^60
Row 61: pivot 61

Step 63, 81 columns
Monomial 62: S0100^62
Best monomial: S0100^61
Row 62: pivot 62

Step 64, 81 columns
Monomial 63: S0100^63
Best monomial: S0100^62
Row 63: pivot 63

Step 65, 81 columns
Monomial 64: S0100^64
Best monomial: S0100^63
Row 64: pivot 64

Step 66, 81 columns
Monomial 65: S0100^65
Best monomial: S0100^64
Row 65: pivot 65

Step 67, 81 columns
Monomial 66: S0100^66
Best monomial: S0100^65
Row 66: pivot 66

Step 68, 81 columns
Monomial 67: S0100^67
Best monomial: S0100^66
Row 67: pivot 67

Step 69, 81 columns
Monomial 68: S0100^68
Best monomial: S0100^67
Row 68: pivot 68

Step 70, 81 columns
Monomial 69: S0100^69
Best monomial: S0100^68
Row 69: pivot 69

Step 71, 81 columns
Monomial 70: S0100^70
Best monomial: S0100^69
Row 70: pivot 70

Step 72, 81 columns
Monomial 71: S0100^71
Best monomial: S0100^70
Row 71: pivot 71

Step 73, 81 columns
Monomial 72: S0100^72
Best monomial: S0100^71
Row 72: pivot 72

Step 74, 81 columns
Monomial 73: S0100^73
Best monomial: S0100^72
Row 73: pivot 73

Step 75, 81 columns
Monomial 74: S0100^74
Best monomial: S0100^73
Row 74: pivot 74

Step 76, 81 columns
Monomial 75: S0100^75
Best monomial: S0100^74
Row 75: pivot 75

Step 77, 81 columns
Monomial 76: S0100^76
Best monomial: S0100^75
Row 76: pivot 76

Step 78, 81 columns
Monomial 77: S0100^77
Best monomial: S0100^76
Row 77: pivot 77

Step 79, 81 columns
Monomial 78: S0100^78
Best monomial: S0100^77
Row 78: pivot 78

Step 80, 81 columns
Monomial 79: S0100^79
Best monomial: S0100^78
Row 79: pivot 79

Step 81, 81 columns
Monomial 80: S0100^80
Best monomial: S0100^79
Row 80: pivot 80

Step 82, 81 columns
Monomial 81: S0100^81
Best monomial: S0100^80
Row 81: pivot -1
New polynomial 0, leading monomial: S0100^81, 0.090
Polynomial: S0100^81 + 10944121435919637611123202872628637544274182200208017171849102093287904247804*S0100^80 + 9576106256429682909732802513550057851239909425182015025367964331626916216842*S0100^79 + 16416182153879456416684804308942956316411273300312025757773653139931856371700*S0100^78 + 1026011384617466026042800269308934769775704581269501609860853321245741023244*S0100^77 + 2565028461543665065107000673272336924439261453173754024652133303114352558083*S0100^76 + 15710799326954948523780379123793063662190476400689243400994316481575409418189*S0100^75 + 14046139815210649470265230557497815635813085937518416281346334178540881513274*S0100^74 + 8843619530616512864995688434624575043695523866215818887353568785219584929543*S0100^73 + 21214496255188187952675919823789363600443582761753082702443511148973282589185*S0100^72 + 6190600952645248184692649841073765337400239191448095649439369084509456171266*S0100^71 + 14151749597901158233944804424243414358965554604348320525783081160228213848293*S0100^70 + 18625193161504421179442908619920739283333245352421527461597521395176739944802*S0100^69 + 20453747554373444797795440818987697051139261419978470159634930725576968484153*S0100^68 + 11965738787214439612297241095557703004577229607253593682707612366612344804357*S0100^67 + 8757069714217159608286805118420397851036493496384136311313672772410767305078*S0100^66 + 3424434934913283017792054362455952075922277639929541878055111808090932389397*S0100^65 + 17676819738061353827142932199501545269455738488252471705787930561823367108678*S0100^64 + 5295590251339045602465586512960559494695678174009118129546526719888923591302*S0100^63 + 335540111936681576173978835221787410671311468183970203427621627568288276835*S0100^62 + 14065647983735426431624083871939338003874545748569176805394764268467589314268*S0100^61 + 10281153380574823195266518747507229404629308166554482651007861212437469998854*S0100^60 + 10241166828429167451490820039335275929581799915751854232410555689881435923654*S0100^59 + 16653093176233931414655522252741979499936257999240343917986388752685880196*S0100^58 + 485726429308942208557188634503574046719780960405611595729642013003407363329*S0100^57 + 889013062073208794923689078501108953804136472414040480203898158149930691331*S0100^56 + 5076911680089126828182424000508713182060860389375655286326566558263824387321*S0100^55 + 2414843579573739240064066609628864802082305500074480541460829199468722127251*S0100^54 + 18964885416890189916922247667946692229871819366391210241225476681782223934217*S0100^53 + 892100391002063482431966672800067823601625938669388606568199098050297388618*S0100^52 + 20809003342134998202524022255742961702071258362050626312959671646198209470333*S0100^51 + 12126858193940992570875202417689765956680462815576276093062707340853767120914*S0100^50 + 2790430798638335395867932547806476870477843047749735271294666659586754952872*S0100^49 + 11172599308971045553581595439232920273212332559495347920007850580394458623418*S0100^48 + 1077851800619967647820331464232926670933414342399506643314649765801762456639*S0100^47 + 11975342868138639238223691997375803734638928381286456322818532104912560407477*S0100^46 + 88705795543992109245397937237433573357134101032358465662526147069690876664*S0100^45 + 8545044700596037945306297472704151202415385756708892772178811955674951096982*S0100^44 + 3120781122507597586061926797461310489674362513382488147181772584659487040192*S0100^43 + 14429724371619972616267923445931842949127229055989892957516840172726551478422*S0100^42 + 17488010836496900606214452995086997390481921257695227290815864878538800484946*S0100^41 + 8825628401221041900882077537819919991372191028529961672332783223211065420606*S0100^40 + 8401667971310494900053374094065441642453045541782650344603446112936935920634*S0100^39 + 16398464107344322549336166096719094560284095980293012724833419375112502404718*S0100^38 + 16103928826849639596033567938236798148075581315582152817417819759835553667810*S0100^37 + 3588718481937717472652858646965927324418295444791832599866728456843429418300*S0100^36 + 8617882867153651758864205206335144861665541266095449509570746353875634902520*S0100^35 + 7167748282507099961429477068849083255779307439967064932672382212025989475985*S0100^34 + 21234107311271182693324942412720624472846817667719407779328558873317327200160*S0100^33 + 4270971452759195861375994980488715795987549109313963482493116699558287441892*S0100^32 + 8438724128405388446146080950277280779337135554642485060804977147532730166995*S0100^31 + 6126272239753426717560029526328259699465566723178057781254409643933493644349*S0100^30 + 21658240960375046483702385432163086367629237079474442294836549623576462842602*S0100^29 + 14568910085564615482473423780736579844181169452773053928622380223736129212121*S0100^28 + 9866502372036574829018516504112617698751375549952454130876611839083634656127*S0100^27 + 15708359231415896786922832798808603307272969471484594413145527053479593159310*S0100^26 + 21871541249665714942222004916020312876855446903325411833827584454458258081830*S0100^25 + 413462022040529113147997574131580802775028685656823461133312003514468354475*S0100^24 + 10308170240516737867129362141032914170648364926396833498274275703437275446974*S0100^23 + 3291034976096333116847011895024455045344232034594689240222819773458094066335*S0100^22 + 8682447914151108184348313619486640614389780040478351817001491766497794828075*S0100^21 + 14609743999514171855685960733019418291016630787176591335174743120314517724580*S0100^20 + 4744933363219446367042087235554267351364605206468057820680937973246879997954*S0100^19 + 5328985276587913486725518915022801916045588690110766766280751497082411972294*S0100^18 + 13362697922597161745391177855144118825590025635891576211656911453965657250534*S0100^17 + 7923665570507383462669485027125148518586238432719455084180389755286214962371*S0100^16 + 11793809059635782576413392808568824060682625068815323774188997771669864530654*S0100^15 + 6173342940468208906100489936732134467216075599281170960469338303588423775985*S0100^14 + 10090343156211811761371720794734144930781634484188869619551174045116771432343*S0100^13 + 4604509612289703430300803781328085566398578847479303233216132988107503068088*S0100^12 + 4139918473823324516324752421767590032706297271686127115679128217714412607998*S0100^11 + 3306711600953663808223961653942920717653442621307124041228114253420724052573*S0100^10 + 20889396502557030533821002264459830649653254859462935196273689646471627363408*S0100^9 + 13971879073170846010454627680985496143713858867902399508872239072908500008713*S0100^8 + 337591331427439408085399050771458754028258829841049746912292085042177385587*S0100^7 + 4466588601706724133953884288934236223202027521578514188267085778549101065266*S0100^6 + 14155356832787310499210682440238578280651773104279175469263445465097928085750*S0100^5 + 136169397555617878621851113818979402565168424422747458763627966012993541196*S0100^4 + 8976464442284081778115013670491806436708302257121017289404602682807000203801*S0100^3 + 18328371545580858069600360893990070401885840406231685324830755377090055559167*S0100^2 + 10248947834997198159022655747904734118772935683548471914600867079710561204471*S0100 + 3573187081118347090355899996216698507215275303458297854492506008908702764137

Step 83, 81 columns
Monomial 81: S0200
Best monomial: 1
Row 81: pivot -1
New polynomial 1, leading monomial: S0200, 0.090
Polynomial: S0200 + 13205944531494872673028963409631881038999959798684981623152767152238245988703*S0100^80 + 17784634700878772128742804729917616214022416782497182856436821501920232859609*S0100^79 + 9797438250079397264956878604113877099195096656919981339003281737162558171156*S0100^78 + 1782519128850188596688241168899853266405924628053308370191355990169053427520*S0100^77 + 17521454699329913044424624774371113433814425611711037832881860827983832298789*S0100^76 + 13758488112816418013855047633586174638493638923260644404073755075481382064282*S0100^75 + 12956443006626757814410873273117179222656030372301924739775337339502271108284*S0100^74 + 19873414081157173008518837281573767781469302398835243587316138187587206038290*S0100^73 + 18422955055072875367181656345636279591858756063861550318390594361333467025160*S0100^72 + 14276028580136964243014161562874627431703555879002437682940339117987723020016*S0100^71 + 14808374601897566228203048774561144349793636822915403333076198025712725537675*S0100^70 + 8471728330564039348050609707800262615061828893373539048078399127939780003889*S0100^69 + 441092820266203680422545721934802814941444182802413428561798552668621277361*S0100^68 + 2241101282591877320787208670224344738234272269624488026698871311085143661799*S0100^67 + 16693202745446917605688165954637972418998500008917924492522559472151456372451*S0100^66 + 14489865421540939975746296137203614093069878268095608168128866351524823443594*S0100^65 + 15285440821197282402095384405378141932885437404177284604322407691127223469748*S0100^64 + 17827886977609135387290188018935318787398171466237472599390086402099688625592*S0100^63 + 12553609011501066872646390444859879493282893105449914381962861222909707321307*S0100^62 + 16934928098957035296963600416850402351399815555398838014696648952507290839530*S0100^61 + 18350321044332468169628665678235823851965359417680500564685007565622202502318*S0100^60 + 3566965697727545575122580703253720579382587379240956790801737201674761174770*S0100^59 + 1108476089499397404807996920197778952831174650483248349555892885436952311461*S0100^58 + 2545847702644645271231053516780056312180802270194505723545258175046876606217*S0100^57 + 8856015043250521500683510967978387708436230796645852691005179814953985530978*S0100^56 + 8113440223089190516668087852696238888217692579923866626500891969091778818995*S0100^55 + 9774918531039923323969882967640710000293976528981033069007641032320716116294*S0100^54 + 7766145391047499586137250103171580877964765787484732780774745117577344953930*S0100^53 + 1482483920909722842873408463167253172869649308248416891045166328860777042091*S0100^52 + 3266351634288977399870531433149687866653497383572961322904462301919195040290*S0100^51 + 14104243345872630149706425469637161187661355614521708884240388164224979933468*S0100^50 + 14614264651059142932133033695629601815125565403835598937494582789910187766744*S0100^49 + 21378409296757158932844569223985155420135881225089751011158478502470576188970*S0100^48 + 10303697737032406548063740925733682615832413179411860734628294869933041493099*S0100^47 + 491021374187918904300255288040298539827507801787110567649074683626880449831*S0100^46 + 15172546143968464501502758318154708068019656649182967653328417005735452022551*S0100^45 + 9353666610115946913697274741581412131324833168547481507970119571022230655996*S0100^44 + 12255970222031523655879749228439327100843669038856735325240271522654838843105*S0100^43 + 10287631548033238171186673406168820884894628037417870008802748551819325645603*S0100^42 + 7356661202894296103995804146071453914563300863775303061458176350485921807149*S0100^41 + 2716127312924964794488627403374089574887369812740071526915523344823715776478*S0100^40 + 4933254095829612882600292287617936356297830090940264762342105422870380045249*S0100^39 + 18323817956381807500324770352052826356884778053151774963805873298466059667183*S0100^38 + 1000601002280124614979950987198544505598219986978860585245984674906411807336*S0100^37 + 17539480091337847464390303228359719160075939383216492664876745967669264769737*S0100^36 + 18911015348592200555381393063004540202806156270287688923682446940777716662627*S0100^35 + 7142294262706099717698000251957061429815024977833571522344933178364434813170*S0100^34 + 14819459472339847149942178793499210809562660740495734258223743902554951362145*S0100^33 + 20252652240985520770005339216913629852735280775703414978445173244185194263166*S0100^32 + 6044957842678171500790958943965178258658388009701972713107825931433442522450*S0100^31 + 18725618157035573512048436202399278718543314826990907061007339305207147333230*S0100^30 + 8430702308751321591385102412620534465824793822723197691535955197345520310822*S0100^29 + 16288478580831530128196419087868267344515333499730259706088860896124584999158*S0100^28 + 16639409483083439284643494777978762239265059849482155002481895707554065410001*S0100^27 + 17948702620769409352253132975450580907738742951117858000865441806461225383295*S0100^26 + 9620731279533403833931740293935539472881480491171959304657170031494164937388*S0100^25 + 16194031507285025875132816849552989854406858069171616458118711015689470039179*S0100^24 + 18061639637719248800474871329592129735896286886343493005170212520191142544465*S0100^23 + 20257501662785184508337964537729695759688083183221285977597050505945539327178*S0100^22 + 945556869292118052652596955096642250833032453753471384521107642319323484650*S0100^21 + 20332015975928576940802893929009482328244103873512861796149366643969072199902*S0100^20 + 10499783479331157492109547776503650179712317917365522338730536222175611398885*S0100^19 + 5247387641074828378434257600532004149658766035864537137320735952288041835575*S0100^18 + 13672964422498963719775422189789066372087180286500231216704251412852563144083*S0100^17 + 9409473708643069072424416455499748922292195210940824811875829784879129513015*S0100^16 + 13146694946528495141907325497458153018393935168323559921362006581302871381138*S0100^15 + 9826949484358485419229101013196680673935737446615183625341380222058187574132*S0100^14 + 18681676966685554636316211030169534505286840772329063519956278509670075275136*S0100^13 + 9655353228569140921961232477463397777558715168719418160062206681962790705170*S0100^12 + 524059654935850695895404263450271000792237537087375372094354436063669872309*S0100^11 + 734167276687371830245028128656359133879337281615854256559631695205802297060*S0100^10 + 3581608196111302753013461838447858824014787249390731068430877998579899523185*S0100^9 + 5535132940274862043910754485038504916598078378285573173593192522482178411001*S0100^8 + 17723633706618395574376409764778656674421317952037907822054087805748116275846*S0100^7 + 19509651509180676944607210167089800595406144765805696436049893519641178276309*S0100^6 + 7116926070746646911433487394386979156381119147406285423163033629735826479886*S0100^5 + 21204603993740866772577141292815094477621801391542512847634758871691307646503*S0100^4 + 2027041075988704978369195051269848329662933728636285002770145379446258984881*S0100^3 + 11821502237793763944537107718727819060896618572053085156128152169037748297034*S0100^2 + 4612359924627552389596696566376406104115093112033947565218236770069975482659*S0100 + 1731726030626582104082975327673684035224339051764430563423333602785698784076

Step 84, 81 columns
Monomial 81: Y0000
Best monomial: 1
Row 81: pivot -1
New polynomial 2, leading monomial: Y0000, 0.090
Polynomial: Y0000 + 1784581196101278075266241856139724944323508478150250416352711190807145795743*S0100^80 + 3527824025096742153911784283196440241402056319360681682758594574782760902232*S0100^79 + 11570389374910623472483806004510422152249396135295521294612208015572542455274*S0100^78 + 5058842228689254644861247238600419259556433535620968152328280313017909791564*S0100^77 + 5706505853561429297857939910314597482495415671155204910145480375669776334842*S0100^76 + 11403767170233601682548047211523839934823703988009283999883430367971653738030*S0100^75 + 465237882018785009419187830101734807964579208495419324514580478377071511864*S0100^74 + 13761902569881301088702364801713953153937178231977565726460917224166581006641*S0100^73 + 19467815293329260313338863094405272083469138922252283950834238967469264360088*S0100^72 + 19167774607121465573054670045764012260218945455556085457290560286920288338345*S0100^71 + 10966706360821131319040952226903552020668040535907610999627898416436085251894*S0100^70 + 6764861264145961675489287528420718083960397316136914569405301080961247662299*S0100^69 + 20739474466476005283242255749330952183891237699110511396554806347230564041483*S0100^68 + 19188725570603202818349886729599184151512472140937570811947500810700231845234*S0100^67 + 8918628913468600229112955329519946112136805440715538164974202377069231729434*S0100^66 + 10333852735888199467759850565462630520105256243167573699196163622828802115187*S0100^65 + 2020723236704171564037967053013480914434236749961809547111188405293367774898*S0100^64 + 17574481767636285705466701242271564320243962934097362723769266315606012037679*S0100^63 + 16502850204684076378525841069777441725209429518713480017763495214773752633574*S0100^62 + 18438679754127054333776587583160398590310919999272249589740614905236767379850*S0100^61 + 7066194590489147031262338041847696327070300686784547715526495755503137277253*S0100^60 + 1296937436489806045069388826461272644891332529893039581225423519712586078778*S0100^59 + 9600813065607115769417002961909033913345837958164597318169761751281831203000*S0100^58 + 8719367220766798705846500929298726948713788988307658432946944659111244805432*S0100^57 + 5297018284192554580174362712075001331260386224887465017982826715686158238904*S0100^56 + 10657502935828994995316013353369868485390312279887044243150185020861087231310*S0100^55 + 3454069612797681095023585244326940838194211104262808027032964872494726577723*S0100^54 + 1131529667304585530232687373342873509548211740858817950097543990855084774229*S0100^53 + 21035457678679180452488067504089918217641162864260018824365682232228220172153*S0100^52 + 8403357657244287175183780373426732528626050714268279838249563055892252286554*S0100^51 + 17474817435736051112335252510740668802855448929942064511757146387718224465508*S0100^50 + 9038528709713467407906721098770684319115153017582197416014699914482161746517*S0100^49 + 8382919469376118549604173674609651730862522843142494869472432651810192922144*S0100^48 + 3094598833603142696426218258841234256413614555592607557874427588818062160871*S0100^47 + 10835866554499694687017579622548465765720447734111127713644927544269527920715*S0100^46 + 9281347862376373441497605003885791268495289486165320190217118627701620924760*S0100^45 + 8749779986403053371203592330793274074732746568832842071482859296474321616722*S0100^44 + 14351571536429074027927306598886899311710009577336736305780162254245417289174*S0100^43 + 19107518370587933093855005861131020433913760607316146042311697489314513473301*S0100^42 + 8003515590018683843726235973864632896221881098688054436009709928836740183597*S0100^41 + 5961265112565003244740737209306822536365016072415436046872588071226159485006*S0100^40 + 8617493226194539990574448935461474743589109398913646219237936846024970734871*S0100^39 + 17547670901646430476522888884669359901334480182058381147891832557830595562916*S0100^38 + 15259800992267056617455134451390124720686374057673539433961908096545261355160*S0100^37 + 9316551125398161751710325538537680028372808237719299048837626158347037868483*S0100^36 + 10326814198163410124491181070777090895087670062781571026421566742981813722734*S0100^35 + 13172362628189305982432864932002696793617828037022098707279945313909227975419*S0100^34 + 11872226206804688216924190507360678299799887749799863981778644610961243648602*S0100^33 + 8898053747696336028760903086155950736122460173400387245989416667205558879811*S0100^32 + 21428741398477419476836147135239220193633545714774161353222008554799250092854*S0100^31 + 497220237389226354682981383805249291504128047661517507760316701298796334553*S0100^30 + 9427922885791811722154485863397329006284799077267742326025062487052444248708*S0100^29 + 13926238579601627727933817052040587319674206631096185023864462353892154864722*S0100^28 + 3881681489126300976862714970029386213026008280645301676135960102721110874715*S0100^27 + 17965879769433472006314447464819991557446490119251645075800981407472288339597*S0100^26 + 11781397858557826187459136415974816368005094805453575937858726085329525689311*S0100^25 + 20655457798196215631497187652057237999930078621102161610378742230337445039961*S0100^24 + 2730338591823377468280548446174975226751068921662980564027839259998249274324*S0100^23 + 13262498771092001020069252408501400808552293259721011508720142152881694322869*S0100^22 + 17358875997437176727442495196021724204656831948022169680427358505640602771055*S0100^21 + 3867977154005989515201055581544102361872327107647933793624549937818226397928*S0100^20 + 3339454191724230266766642390587640614841569257518030917869491454252460685668*S0100^19 + 6918299318930834848507537821012077007024493930953738652056018229409085050360*S0100^18 + 7019018083921639413985968897512201974001541562583401583475837476051168528624*S0100^17 + 2078182559676739274776245161800931408164308038883755937632929892111276580088*S0100^16 + 9974411608243834162770503243713688267616628621483490994137654345849917545012*S0100^15 + 13139077764449103867883975991715993397067909129568176658723483486275152751142*S0100^14 + 7610193103979447296788582004439646919065535355326293084071736300841412536294*S0100^13 + 12173017258843938155880800680233327687404187987354203732142422613356095425216*S0100^12 + 1784788571539805028640672561019166226869094273840592578360463068391346678639*S0100^11 + 2775612792121789980340563804101258275992452805458217738807253715698743519500*S0100^10 + 17858120753938108683125194041742850187140056403329181989639606855806026942993*S0100^9 + 9327458771786988628868213889641712533740433792742143390045385765619068030971*S0100^8 + 16284345802056988400901462200073102032842969298554759575644341112737420324250*S0100^7 + 12015178334261293072031363972349539559715786124324062791711670564153323034546*S0100^6 + 3930346734622624006245305802574782186190097713311205746497408442771924729881*S0100^5 + 15247846384918611290851448260500396841479027497951064707485774714234220646515*S0100^4 + 1668529954676297111126208272802943971652601069021888189508672119222108069112*S0100^3 + 19325702232080603931664992689418070987551344359789615346370672962436280713322*S0100^2 + 18727882967543329060784886617590845516764086787608845955815624741174520219797*S0100 + 6284469431691073156001664668096280711963016804704941596116759829685487893339
Total FGLM time: 0.090
Time: 0.090
unideg = 81
----------------------------------------------------------------------------------------------------
Starting UNIV SOLVING computation... (r=2)
Time: 0.230
nsols = 3
----------------------------------------------------------------------------------------------------
Starting MULTIPLICITY computation... (r=2)
nsols_mult = 3
====================================================================================================
n_r: 3, n_v: 4, n_e: 4, mdeg: 7
degs = [7, 7, 7, 4]
Multivariate Polynomial Ring in Y0000, S0300, S0200, S0100 over Finite Field of size 21888242871839275222246405745257275088548364400416034343698204186575808495617
----------------------------------------------------------------------------------------------------
Starting GB computation... (r=3)
********************
FAUGERE F4 ALGORITHM
********************
Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 4
Order: Graded Reverse Lexicographical
NEW hash table
Matrix kind: Generic finite field
Generic field
Datum size: 4
No queue sort
Initial length: 4
Inhomogeneous

Initial queue setup time: 0.000
Initial queue length: 3

*******
STEP 1
Basis length: 4, queue length: 3, step degree: 10, num pairs: 3
Basis total mons: 83, average length: 20.750
Number of pair polynomials: 3, at 126 column(s), 0.000
Average length for reductees: 23.00 [3], reductors: 21.14 [58]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 58 = 61 rows / 286 columns out of 1001 (28.571%)
Density: 7.4229% / 11.525% (21.23/r), total: 1295 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [3]
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (100.0%), min deg: 8 [1], av deg: 8.7
Degree counts: 8:1 9:2
Queue insertion time: 0.000
New max step: 1, time: 0.000
Step 1 time: 0.000, [0.003], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 2
Basis length: 7, queue length: 10, step degree: 9, num pairs: 2
Basis total mons: 404, average length: 57.714
Number of pair polynomials: 2, at 190 column(s), 0.000
Average length for reductees: 103.00 [2], reductors: 22.69 [32]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 32 = 34 rows / 214 columns out of 715 (29.930%)
Density: 12.809% / 17.95% (27.412/r), total: 932 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 9 [1], av deg: 9.0
Degree counts: 9:1
Queue insertion time: 0.000
Step 2 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 3
Basis length: 8, queue length: 11, step degree: 10, num pairs: 5
Basis total mons: 545, average length: 68.125
Number of pair polynomials: 5, at 359 column(s), 0.000
Average length for reductees: 115.20 [5], reductors: 25.80 [97]
Symbolic reduction time: 0.000, column sort time: 0.000
5 + 97 = 102 rows / 387 columns out of 1001 (38.661%)
Density: 7.8001% / 11.38% (30.186/r), total: 3079 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (40.0%), min deg: 9 [1], av deg: 9.5
Degree counts: 9:1 10:1
Queue insertion time: 0.000
Step 3 time: 0.000, [0.003], mat/total: 0.000/0.000, mem: 32.1MB (=max)

*******
STEP 4
Basis length: 10, queue length: 13, step degree: 10, num pairs: 2
Basis total mons: 846, average length: 84.600
Number of pair polynomials: 2, at 201 column(s), 0.000
Average length for reductees: 123.00 [2], reductors: 22.05 [43]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 43 = 45 rows / 226 columns out of 1001 (22.577%)
Density: 11.74% / 16.583% (26.533/r), total: 1194 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 10 [1], av deg: 10.0
Degree counts: 10:1
Queue insertion time: 0.000[r]
New max step: 4, time: 0.002[r]
Step 4 time: 0.001[r], [0.002], mat/total: 0.000/0.010, mem: 32.1MB (=max)

*******
STEP 5
Basis length: 11, queue length: 16, step degree: 11, num pairs: 4
Basis total mons: 1007, average length: 91.545
Number of pair polynomials: 4, at 430 column(s), 0.000
Average length for reductees: 169.50 [4], reductors: 31.62 [120]
Symbolic reduction time: 0.000, column sort time: 0.000
4 + 120 = 124 rows / 484 columns out of 1365 (35.458%)
Density: 7.453% / 10.876% (36.073/r), total: 4473 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
Number of unused reductors: 3
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (50.0%), min deg: 10 [2], av deg: 10.0
Degree counts: 10:2
Queue insertion time: 0.000
Step 5 time: 0.000, [0.004], mat/total: 0.000/0.010, mem: 32.1MB (=max)

*******
STEP 6
Basis length: 13, queue length: 19, step degree: 11, num pairs: 3
Basis total mons: 1518, average length: 116.769
Number of pair polynomials: 3, at 491 column(s), 0.000
Average length for reductees: 248.00 [3], reductors: 33.70 [159]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 159 = 162 rows / 553 columns out of 1365 (40.513%)
Density: 6.8124% / 9.9074% (37.673/r), total: 6103 (0.0MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (33.3%), min deg: 11 [1], av deg: 11.0
Degree counts: 11:1
Queue insertion time: 0.000
Step 6 time: 0.000, [0.005], mat/total: 0.000/0.010, mem: 32.1MB (=max)

*******
STEP 7
Basis length: 14, queue length: 20, step degree: 12, num pairs: 6
Basis total mons: 1801, average length: 128.643
Number of pair polynomials: 6, at 768 column(s), 0.000
Average length for reductees: 250.33 [6], reductors: 37.40 [339]
Symbolic reduction time: 0.000, column sort time: 0.000
6 + 339 = 345 rows / 910 columns out of 1820 (50.000%)
Density: 4.5166% / 6.8543% (41.101/r), total: 14180 (0.1MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.007[r] + 0.000 = 0.007[r] [5]
Number of unused reductors: 2
After ech memory: 32.1MB (=max)
Num new polynomials: 5 (83.3%), min deg: 11 [3], av deg: 11.4
Degree counts: 11:3 12:2
Queue insertion time: 0.000
New max step: 7, time: 0.010[r]
Step 7 time: 0.010, [0.011], mat/total: 0.010/0.020, mem: 32.1MB (=max)

*******
STEP 8
Basis length: 19, queue length: 32, step degree: 12, num pairs: 9
Basis total mons: 3903, average length: 205.421
Number of pair polynomials: 9, at 970 column(s), 0.000
Average length for reductees: 407.67 [9], reductors: 44.03 [418]
Symbolic reduction time: 0.000, column sort time: 0.000
9 + 418 = 427 rows / 1052 columns out of 1820 (57.802%)
Density: 4.9136% / 7.201% (51.691/r), total: 22072 (0.1MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.017[r] + 0.000 = 0.017[r] [6]
Number of unused reductors: 2
After ech memory: 32.1MB (=max)
Num new polynomials: 6 (66.7%), min deg: 11 [3], av deg: 11.5
Degree counts: 11:3 12:3
Queue insertion time: 0.000
New max step: 8, time: 0.020[r]
Step 8 time: 0.019[r], [0.020], mat/total: 0.030/0.040, mem: 32.1MB (=max)

*******
STEP 9
Basis length: 25, queue length: 47, step degree: 12, num pairs: 6
Basis total mons: 6705, average length: 268.200
Number of pair polynomials: 6, at 1021 column(s), 0.000
Average length for reductees: 475.50 [6], reductors: 46.60 [450]
Symbolic reduction time: 0.000, column sort time: 0.000
6 + 450 = 456 rows / 1108 columns out of 1820 (60.879%)
Density: 4.7147% / 6.9576% (52.239/r), total: 23821 (0.1MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.016[r] + 0.000 = 0.017[r] [4]
Number of unused reductors: 8
After ech memory: 32.1MB (=max)
Num new polynomials: 4 (66.7%), min deg: 11 [1], av deg: 11.8
Degree counts: 11:1 12:3
Queue insertion time: 0.000
Step 9 time: 0.019[r], [0.021], mat/total: 0.050/0.060, mem: 32.1MB (=max)

*******
STEP 10
Basis length: 29, queue length: 57, step degree: 12, num pairs: 4
Basis total mons: 8909, average length: 307.207
Number of pair polynomials: 4, at 910 column(s), 0.000
Average length for reductees: 456.00 [4], reductors: 47.61 [371]
Symbolic reduction time: 0.000, column sort time: 0.000
4 + 371 = 375 rows / 1011 columns out of 1820 (55.549%)
Density: 5.14% / 7.4694% (51.965/r), total: 19487 (0.1MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.009[r] + 0.000 = 0.009[r] [3]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (75.0%), min deg: 12 [3], av deg: 12.0
Degree counts: 12:3
Queue insertion time: 0.000
Step 10 time: 0.010, [0.012], mat/total: 0.060/0.070, mem: 32.1MB (=max)

*******
STEP 11
Basis length: 32, queue length: 66, step degree: 13, num pairs: 40
Basis total mons: 10475, average length: 327.344
3 pairs eliminated
Number of pair polynomials: 37, at 1442 column(s), 0.000
Average length for reductees: 500.22 [37], reductors: 56.39 [819]
Symbolic reduction time: 0.000, column sort time: 0.000
37 + 819 = 856 rows / 1594 columns out of 2380 (66.975%)
Density: 4.7413% / 6.7092% (75.577/r), total: 64694 (0.2MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.160 + 0.000 = 0.160 [20]
Number of unused reductors: 3
After ech memory: 32.1MB (=max)
Num new polynomials: 20 (54.1%), min deg: 11 [2], av deg: 11.9
Degree counts: 11:2 12:17 13:1
Queue insertion time: 0.000
New max step: 11, time: 0.160
Step 11 time: 0.160, [0.167], mat/total: 0.220/0.230, mem: 32.1MB (=max)

*******
STEP 12
Basis length: 52, queue length: 90, step degree: 12, num pairs: 8
Basis total mons: 22702, average length: 436.577
Number of pair polynomials: 8, at 1217 column(s), 0.000
Average length for reductees: 607.62 [8], reductors: 66.60 [601]
Symbolic reduction time: 0.000, column sort time: 0.000
8 + 601 = 609 rows / 1355 columns out of 1820 (74.451%)
Density: 5.4399% / 7.6309% (73.711/r), total: 44890 (0.2MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.045[r] + 0.000 = 0.045[r] [7]
Number of unused reductors: 6
After ech memory: 32.1MB (=max)
Num new polynomials: 7 (87.5%), min deg: 11 [2], av deg: 11.7
Degree counts: 11:2 12:5
Queue insertion time: 0.000
Step 12 time: 0.047[r], [0.049], mat/total: 0.270/0.280, mem: 32.1MB (=max)

*******
STEP 13
Basis length: 59, queue length: 107, step degree: 12, num pairs: 7
Basis total mons: 27329, average length: 463.203
Number of pair polynomials: 7, at 1225 column(s), 0.000
Average length for reductees: 580.71 [7], reductors: 75.28 [615]
Symbolic reduction time: 0.000, column sort time: 0.000
7 + 615 = 622 rows / 1363 columns out of 1820 (74.890%)
Density: 5.9407% / 8.1555% (80.971/r), total: 50364 (0.2MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.039[r] + 0.000 = 0.039[r] [4]
Number of unused reductors: 8
After ech memory: 32.1MB (=max)
Num new polynomials: 4 (57.1%), min deg: 11 [3], av deg: 11.2
Degree counts: 11:3 12:1
Queue insertion time: 0.000
Step 13 time: 0.039, [0.042], mat/total: 0.310/0.319, mem: 32.1MB (=max)

*******
STEP 14
Basis length: 63, queue length: 116, step degree: 12, num pairs: 12
Basis total mons: 29966, average length: 475.651
Number of pair polynomials: 12, at 1294 column(s), 0.000
Average length for reductees: 652.00 [12], reductors: 79.35 [660]
Symbolic reduction time: 0.000, column sort time: 0.000
12 + 660 = 672 rows / 1424 columns out of 1820 (78.242%)
Density: 6.2903% / 8.5397% (89.574/r), total: 60194 (0.2MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.098[r] + 0.000 = 0.098[r] [10]
Number of unused reductors: 6
After ech memory: 32.1MB (=max)
Num new polynomials: 10 (83.3%), min deg: 11 [4], av deg: 11.6
Degree counts: 11:4 12:6
Queue insertion time: 0.000
Step 14 time: 0.100, [0.102], mat/total: 0.410/0.420, mem: 32.1MB (=max)

*******
STEP 15
Basis length: 73, queue length: 138, step degree: 12, num pairs: 15
Basis total mons: 37013, average length: 507.027
Number of pair polynomials: 15, at 1320 column(s), 0.000
Average length for reductees: 677.13 [15], reductors: 88.25 [710]
Symbolic reduction time: 0.000, column sort time: 0.000[r]
15 + 710 = 725 rows / 1482 columns out of 1820 (81.429%)
Density: 6.7768% / 9.0762% (100.43/r), total: 72813 (0.3MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.149 + 0.000 = 0.149 [13]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 13 (86.7%), min deg: 11 [1], av deg: 11.9
Degree counts: 11:1 12:12
Queue insertion time: 0.000
Step 15 time: 0.156[r], [0.156], mat/total: 0.560/0.580, mem: 32.1MB (=max)

*******
STEP 16
Basis length: 86, queue length: 168, step degree: 12, num pairs: 2
Basis total mons: 46515, average length: 540.872
Number of pair polynomials: 2, at 1209 column(s), 0.000
Average length for reductees: 706.00 [2], reductors: 93.44 [698]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 698 = 700 rows / 1461 columns out of 1820 (80.275%)
Density: 6.5151% / 8.8692% (95.186/r), total: 66630 (0.3MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.024[r] + 0.000 = 0.024[r] [2]
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (100.0%), min deg: 12 [2], av deg: 12.0
Degree counts: 12:2
Queue insertion time: 0.000
Step 16 time: 0.028[r], [0.029], mat/total: 0.590/0.610, mem: 32.1MB (=max)

*******
STEP 17
Basis length: 88, queue length: 174, step degree: 13, num pairs: 125
Basis total mons: 48026, average length: 545.750
15 pairs eliminated
Number of pair polynomials: 110, at 1761 column(s), 0.000
Average length for reductees: 681.29 [110], reductors: 108.43 [1094]
Symbolic reduction time: 0.000, column sort time: 0.000
110 + 1094 = 1204 rows / 1902 columns out of 2380 (79.916%)
Density: 8.4525% / 11.006% (160.77/r), total: 193564 (0.7MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
1.518[r] + 0.029 = 1.550 [39]
After ech memory: 32.1MB (=max)
Num new polynomials: 39 (35.5%), min deg: 11 [20], av deg: 11.5
Degree counts: 11:20 12:17 13:2
Queue insertion time: 0.001[r]
New max step: 17, time: 1.560
Step 17 time: 1.560, [1.562], mat/total: 2.140/2.170, mem: 32.1MB (=max)

*******
STEP 18
Basis length: 127, queue length: 158, step degree: 12, num pairs: 77
Basis total mons: 76388, average length: 601.480
Number of pair polynomials: 77, at 1425 column(s), 0.000
Average length for reductees: 716.58 [77], reductors: 127.75 [807]
Symbolic reduction time: 0.000, column sort time: 0.000
77 + 807 = 884 rows / 1571 columns out of 1820 (86.319%)
Density: 11.397% / 14.011% (179.04/r), total: 158275 (0.6MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
1.157[r] + 0.000 = 1.164[r] [24]
After ech memory: 32.1MB (=max)
Num new polynomials: 24 (31.2%), min deg: 11 [13], av deg: 11.5
Degree counts: 11:13 12:11
Queue insertion time: 0.000
Step 18 time: 1.169, [1.172], mat/total: 3.310/3.340, mem: 32.1MB (=max)

*******
STEP 19
Basis length: 151, queue length: 159, step degree: 12, num pairs: 50
Basis total mons: 93612, average length: 619.947
Number of pair polynomials: 50, at 1372 column(s), 0.000
Average length for reductees: 710.78 [50], reductors: 141.97 [791]
Symbolic reduction time: 0.003[r], column sort time: 0.000
50 + 791 = 841 rows / 1530 columns out of 1820 (84.066%)
Density: 11.489% / 14.295% (175.78/r), total: 147834 (0.6MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.730 + 0.000 = 0.730 [5]
After ech memory: 32.1MB (=max)
Num new polynomials: 5 (10.0%), min deg: 11 [2], av deg: 11.6
Degree counts: 11:2 12:3
Queue insertion time: 0.000
Step 19 time: 0.740, [0.742], mat/total: 4.040/4.080, mem: 32.1MB (=max)

*******
STEP 20
Basis length: 156, queue length: 128, step degree: 12, num pairs: 7
Basis total mons: 97239, average length: 623.327
Number of pair polynomials: 7, at 1321 column(s), 0.000
Average length for reductees: 715.86 [7], reductors: 140.08 [742]
Symbolic reduction time: 0.003[r], column sort time: 0.000
7 + 742 = 749 rows / 1473 columns out of 1820 (80.934%)
Density: 9.875% / 12.692% (145.46/r), total: 108949 (0.4MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.099 + 0.000 = 0.099 [1]
Number of unused reductors: 7
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (14.3%), min deg: 11 [1], av deg: 11.0
Degree counts: 11:1
Queue insertion time: 0.000[r]
Step 20 time: 0.111[r], [0.113], mat/total: 4.140/4.199, mem: 32.1MB (=max)

*******
STEP 21
Basis length: 157, queue length: 124, step degree: 12, num pairs: 2
Basis total mons: 97969, average length: 624.006
Number of pair polynomials: 2, at 1253 column(s), 0.000
Average length for reductees: 730.00 [2], reductors: 146.37 [783]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 783 = 785 rows / 1516 columns out of 1820 (83.297%)
Density: 9.7529% / 12.638% (147.85/r), total: 116065 (0.4MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.046[r] + 0.000 = 0.046[r] [1]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 11 [1], av deg: 11.0
Degree counts: 11:1
Queue insertion time: 0.000
Step 21 time: 0.050, [0.053], mat/total: 4.190/4.250, mem: 32.1MB (=max)

*******
STEP 22
Basis length: 158, queue length: 126, step degree: 12, num pairs: 4
Basis total mons: 98699, average length: 624.677
Number of pair polynomials: 4, at 1341 column(s), 0.000
Average length for reductees: 730.00 [4], reductors: 148.71 [794]
Symbolic reduction time: 0.000, column sort time: 0.000
4 + 794 = 798 rows / 1529 columns out of 1820 (84.011%)
Density: 9.9164% / 12.842% (151.62/r), total: 120994 (0.5MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.087[r] + 0.000 = 0.087[r] [3]
After ech memory: 32.1MB (=max)
Num new polynomials: 3 (75.0%), min deg: 11 [1], av deg: 11.7
Degree counts: 11:1 12:2
Queue insertion time: 0.000
Step 22 time: 0.089, [0.092], mat/total: 4.280/4.339, mem: 32.1MB (=max)

*******
STEP 23
Basis length: 161, queue length: 133, step degree: 12, num pairs: 2
Basis total mons: 100893, average length: 626.665
Number of pair polynomials: 2, at 1328 column(s), 0.000
Average length for reductees: 731.00 [2], reductors: 151.14 [761]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 761 = 763 rows / 1491 columns out of 1820 (81.923%)
Density: 10.239% / 13.134% (152.66/r), total: 116480 (0.4MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.047[r] + 0.000 = 0.047[r] [1]
Number of unused reductors: 1
After ech memory: 32.1MB (=max)
Num new polynomials: 1 (50.0%), min deg: 11 [1], av deg: 11.0
Degree counts: 11:1
Queue insertion time: 0.000
Step 23 time: 0.049, [0.053], mat/total: 4.330/4.389, mem: 32.1MB (=max)

*******
STEP 24
Basis length: 162, queue length: 135, step degree: 12, num pairs: 4
Basis total mons: 101623, average length: 627.302
Number of pair polynomials: 4, at 1334 column(s), 0.000
Average length for reductees: 730.00 [4], reductors: 152.66 [763]
Symbolic reduction time: 0.000, column sort time: 0.000
4 + 763 = 767 rows / 1494 columns out of 1820 (82.088%)
Density: 10.42% / 13.328% (155.67/r), total: 119402 (0.5MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.084[r] + 0.000 = 0.084[r] [2]
After ech memory: 32.1MB (=max)
Num new polynomials: 2 (50.0%), min deg: 11 [1], av deg: 11.5
Degree counts: 11:1 12:1
Queue insertion time: 0.000
Step 24 time: 0.089[r], [0.091], mat/total: 4.420/4.479, mem: 32.1MB (=max)

*******
STEP 25
Basis length: 164, queue length: 135, step degree: 12, num pairs: 3
Basis total mons: 103083, average length: 628.555
Number of pair polynomials: 3, at 1334 column(s), 0.000
Average length for reductees: 730.00 [3], reductors: 156.42 [768]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 768 = 771 rows / 1497 columns out of 1820 (82.253%)
Density: 10.598% / 13.523% (158.65/r), total: 122323 (0.5MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
0.068[r] + 0.000 = 0.068[r] [0]
After ech memory: 32.1MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 25 time: 0.070, [0.073], mat/total: 4.490/4.549, mem: 32.1MB (=max)

*******
STEP 26
Basis length: 164, queue length: 132, step degree: 13, num pairs: 71
Basis total mons: 103083, average length: 628.555
8 pairs eliminated
Number of pair polynomials: 63, at 1686 column(s), 0.000
Average length for reductees: 728.17 [63], reductors: 164.35 [1158]
Symbolic reduction time: 0.005[r], column sort time: 0.000
63 + 1158 = 1221 rows / 1887 columns out of 2380 (79.286%)
Density: 10.251% / 13.473% (193.44/r), total: 236190 (0.9MB)
Before ech memory: 32.1MB (=max)
Row sort time: 0.000
1.299 + 0.000 = 1.299 [0]
After ech memory: 32.1MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 26 time: 1.309, [1.311], mat/total: 5.790/5.859, mem: 32.1MB (=max)

*******
STEP 27
Basis length: 164, queue length: 61, step degree: 14, num pairs: 33
Basis total mons: 103083, average length: 628.555
33 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 28
Basis length: 164, queue length: 28, step degree: 15, num pairs: 16
Basis total mons: 103083, average length: 628.555
16 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 29
Basis length: 164, queue length: 12, step degree: 16, num pairs: 10
Basis total mons: 103083, average length: 628.555
10 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 30
Basis length: 164, queue length: 2, step degree: 17, num pairs: 2
Basis total mons: 103083, average length: 628.555
2 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

Reduce 164 final polynomial(s) by 164
7 redundant polynomial(s) removed; time: 0.000
Interreduce 116 (out of range [0 .. 163] = 164) polynomial(s)
Symbolic reduction time: 0.000
Column sort time: 0.000
116 + 0 = 116 rows / 845 columns
Density: 70.799% / 76.77% (598.25/r), total: 69397 (0.3MB)
Row sort time: 0.000
0.140 + 0.000 = 0.140 [116]
Total reduction time: 0.150
Reduction time: 0.150
Final number of polynomials: 157

Final basis length: 116
Number of pairs: 447
Max step: 17, time: 1.560
Max num entries matrix: 1221 by 1887
Max num rows matrix: 1221 by 1887
Approx mat cost: 7.69431e+07, sym red cost: 1.96569e+06
Total pair setup time: 0.000
Total symbolic reduction time: 0.030
Total column sort time: 0.010
Total row sort time: 0.000
Total matrix time: 5.790
Total new polys time: 0.000
Total queue update time: 0.030
Total Faugere F4 time: 6.019, real time: 6.061
Time: 6.020
dregs = [ 10, 9, 10, 10, 11, 11, 12, 12, 12, 12, 13, 12, 12, 12, 12, 12, 13, 12, 12, 12, 12, 12, 12, 12, 12, 13, 14, 15, 16, 17 ]
----------------------------------------------------------------------------------------------------
Starting FGLM computation... (r=3)
*****************
FGLM ORDER CHANGE
*****************

Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 4
Initial order: Graded Reverse Lexicographical
Final order: Lexicographical
Basis length: 116
Quotient dimension: 729

Step 1, 0 columns
Monomial 0: 1
Row 0: pivot 0

Step 2, 1 columns
Monomial 1: S0100
Best monomial: 1
Row 1: pivot 1

Step 3, 2 columns
Monomial 2: S0100^2
Best monomial: S0100
Row 2: pivot 2

Step 4, 3 columns
Monomial 3: S0100^3
Best monomial: S0100^2
Row 3: pivot 3

Step 5, 4 columns
Monomial 4: S0100^4
Best monomial: S0100^3
Row 4: pivot 4

Step 6, 5 columns
Monomial 5: S0100^5
Best monomial: S0100^4
Row 5: pivot 5

Step 7, 6 columns
Monomial 6: S0100^6
Best monomial: S0100^5
Row 6: pivot 6

Step 8, 7 columns
Monomial 7: S0100^7
Best monomial: S0100^6
Row 7: pivot 7

Step 9, 48 columns
Monomial 8: S0100^8
Best monomial: S0100^7
Row 8: pivot 10

Step 10, 53 columns
Monomial 9: S0100^9
Best monomial: S0100^8
Row 9: pivot 18

Step 11, 58 columns
Monomial 10: S0100^10
Best monomial: S0100^9
Row 10: pivot 34

Step 12, 70 columns
Monomial 11: S0100^11
Best monomial: S0100^10
Row 11: pivot 48

Step 13, 82 columns
Monomial 12: S0100^12
Best monomial: S0100^11
Row 12: pivot 53

Step 14, 94 columns
Monomial 13: S0100^13
Best monomial: S0100^12
Row 13: pivot 61

Step 15, 106 columns
Monomial 14: S0100^14
Best monomial: S0100^13
Row 14: pivot 8

Step 16, 155 columns
Monomial 15: S0100^15
Best monomial: S0100^14
Row 15: pivot 11

Step 17, 162 columns
Monomial 16: S0100^16
Best monomial: S0100^15
Row 16: pivot 9

Step 18, 307 columns
Monomial 17: S0100^17
Best monomial: S0100^16
Row 17: pivot 12

Step 19, 307 columns
Monomial 18: S0100^18
Best monomial: S0100^17
Row 18: pivot 19

Step 20, 310 columns
Monomial 19: S0100^19
Best monomial: S0100^18
Row 19: pivot 13

Step 21, 324 columns
Monomial 20: S0100^20
Best monomial: S0100^19
Row 20: pivot 14

Step 22, 375 columns
Monomial 21: S0100^21
Best monomial: S0100^20
Row 21: pivot 16

Step 23, 405 columns
Monomial 22: S0100^22
Best monomial: S0100^21
Row 22: pivot 15

Step 24, 711 columns
Monomial 23: S0100^23
Best monomial: S0100^22
Row 23: pivot 17

Step 25, 729 columns
Monomial 24: S0100^24
Best monomial: S0100^23
Row 24: pivot 20

Step 26, 729 columns
Monomial 25: S0100^25
Best monomial: S0100^24
Row 25: pivot 21

Step 27, 729 columns
Monomial 26: S0100^26
Best monomial: S0100^25
Row 26: pivot 22

Step 28, 729 columns
Monomial 27: S0100^27
Best monomial: S0100^26
Row 27: pivot 23

Step 29, 729 columns
Monomial 28: S0100^28
Best monomial: S0100^27
Row 28: pivot 24

Step 30, 729 columns
Monomial 29: S0100^29
Best monomial: S0100^28
Row 29: pivot 25

Step 31, 729 columns
Monomial 30: S0100^30
Best monomial: S0100^29
Row 30: pivot 26

Step 32, 729 columns
Monomial 31: S0100^31
Best monomial: S0100^30
Row 31: pivot 27

Step 33, 729 columns
Monomial 32: S0100^32
Best monomial: S0100^31
Row 32: pivot 28

Step 34, 729 columns
Monomial 33: S0100^33
Best monomial: S0100^32
Row 33: pivot 29

Step 35, 729 columns
Monomial 34: S0100^34
Best monomial: S0100^33
Row 34: pivot 30

Step 36, 729 columns
Monomial 35: S0100^35
Best monomial: S0100^34
Row 35: pivot 31

Step 37, 729 columns
Monomial 36: S0100^36
Best monomial: S0100^35
Row 36: pivot 32

Step 38, 729 columns
Monomial 37: S0100^37
Best monomial: S0100^36
Row 37: pivot 33

Step 39, 729 columns
Monomial 38: S0100^38
Best monomial: S0100^37
Row 38: pivot 35

Step 40, 729 columns
Monomial 39: S0100^39
Best monomial: S0100^38
Row 39: pivot 36

Step 41, 729 columns
Monomial 40: S0100^40
Best monomial: S0100^39
Row 40: pivot 37

Step 42, 729 columns
Monomial 41: S0100^41
Best monomial: S0100^40
Row 41: pivot 38

Step 43, 729 columns
Monomial 42: S0100^42
Best monomial: S0100^41
Row 42: pivot 39

Step 44, 729 columns
Monomial 43: S0100^43
Best monomial: S0100^42
Row 43: pivot 40

Step 45, 729 columns
Monomial 44: S0100^44
Best monomial: S0100^43
Row 44: pivot 41

Step 46, 729 columns
Monomial 45: S0100^45
Best monomial: S0100^44
Row 45: pivot 42

Step 47, 729 columns
Monomial 46: S0100^46
Best monomial: S0100^45
Row 46: pivot 43

Step 48, 729 columns
Monomial 47: S0100^47
Best monomial: S0100^46
Row 47: pivot 44

Step 49, 729 columns
Monomial 48: S0100^48
Best monomial: S0100^47
Row 48: pivot 45

Step 50, 729 columns
Monomial 49: S0100^49
Best monomial: S0100^48
Row 49: pivot 46

Step 51, 729 columns
Monomial 50: S0100^50
Best monomial: S0100^49
Row 50: pivot 47

Step 52, 729 columns
Monomial 51: S0100^51
Best monomial: S0100^50
Row 51: pivot 49

Step 53, 729 columns
Monomial 52: S0100^52
Best monomial: S0100^51
Row 52: pivot 50

Step 54, 729 columns
Monomial 53: S0100^53
Best monomial: S0100^52
Row 53: pivot 51

Step 55, 729 columns
Monomial 54: S0100^54
Best monomial: S0100^53
Row 54: pivot 52

Step 56, 729 columns
Monomial 55: S0100^55
Best monomial: S0100^54
Row 55: pivot 54

Step 57, 729 columns
Monomial 56: S0100^56
Best monomial: S0100^55
Row 56: pivot 55

Step 58, 729 columns
Monomial 57: S0100^57
Best monomial: S0100^56
Row 57: pivot 56

Step 59, 729 columns
Monomial 58: S0100^58
Best monomial: S0100^57
Row 58: pivot 57

Step 60, 729 columns
Monomial 59: S0100^59
Best monomial: S0100^58
Row 59: pivot 58

Step 61, 729 columns
Monomial 60: S0100^60
Best monomial: S0100^59
Row 60: pivot 59

Step 62, 729 columns
Monomial 61: S0100^61
Best monomial: S0100^60
Row 61: pivot 60

Step 63, 729 columns
Monomial 62: S0100^62
Best monomial: S0100^61
Row 62: pivot 62

Step 64, 729 columns
Monomial 63: S0100^63
Best monomial: S0100^62
Row 63: pivot 63

Step 65, 729 columns
Monomial 64: S0100^64
Best monomial: S0100^63
Row 64: pivot 64

Step 66, 729 columns
Monomial 65: S0100^65
Best monomial: S0100^64
Row 65: pivot 65

Step 67, 729 columns
Monomial 66: S0100^66
Best monomial: S0100^65
Row 66: pivot 66

Step 68, 729 columns
Monomial 67: S0100^67
Best monomial: S0100^66
Row 67: pivot 67

Step 69, 729 columns
Monomial 68: S0100^68
Best monomial: S0100^67
Row 68: pivot 68

Step 70, 729 columns
Monomial 69: S0100^69
Best monomial: S0100^68
Row 69: pivot 69

Step 71, 729 columns
Monomial 70: S0100^70
Best monomial: S0100^69
Row 70: pivot 70

Step 72, 729 columns
Monomial 71: S0100^71
Best monomial: S0100^70
Row 71: pivot 71

Step 73, 729 columns
Monomial 72: S0100^72
Best monomial: S0100^71
Row 72: pivot 72

Step 74, 729 columns
Monomial 73: S0100^73
Best monomial: S0100^72
Row 73: pivot 73

Step 75, 729 columns
Monomial 74: S0100^74
Best monomial: S0100^73
Row 74: pivot 74

Step 76, 729 columns
Monomial 75: S0100^75
Best monomial: S0100^74
Row 75: pivot 75

Step 77, 729 columns
Monomial 76: S0100^76
Best monomial: S0100^75
Row 76: pivot 76

Step 78, 729 columns
Monomial 77: S0100^77
Best monomial: S0100^76
Row 77: pivot 77

Step 79, 729 columns
Monomial 78: S0100^78
Best monomial: S0100^77
Row 78: pivot 78

Step 80, 729 columns
Monomial 79: S0100^79
Best monomial: S0100^78
Row 79: pivot 79

Step 81, 729 columns
Monomial 80: S0100^80
Best monomial: S0100^79
Row 80: pivot 80

Step 82, 729 columns
Monomial 81: S0100^81
Best monomial: S0100^80
Row 81: pivot 81

Step 83, 729 columns
Monomial 82: S0100^82
Best monomial: S0100^81
Row 82: pivot 82

Step 84, 729 columns
Monomial 83: S0100^83
Best monomial: S0100^82
Row 83: pivot 83

Step 85, 729 columns
Monomial 84: S0100^84
Best monomial: S0100^83
Row 84: pivot 84

Step 86, 729 columns
Monomial 85: S0100^85
Best monomial: S0100^84
Row 85: pivot 85

Step 87, 729 columns
Monomial 86: S0100^86
Best monomial: S0100^85
Row 86: pivot 86

Step 88, 729 columns
Monomial 87: S0100^87
Best monomial: S0100^86
Row 87: pivot 87

Step 89, 729 columns
Monomial 88: S0100^88
Best monomial: S0100^87
Row 88: pivot 88

Step 90, 729 columns
Monomial 89: S0100^89
Best monomial: S0100^88
Row 89: pivot 89

Step 91, 729 columns
Monomial 90: S0100^90
Best monomial: S0100^89
Row 90: pivot 90

Step 92, 729 columns
Monomial 91: S0100^91
Best monomial: S0100^90
Row 91: pivot 91

Step 93, 729 columns
Monomial 92: S0100^92
Best monomial: S0100^91
Row 92: pivot 92

Step 94, 729 columns
Monomial 93: S0100^93
Best monomial: S0100^92
Row 93: pivot 93

Step 95, 729 columns
Monomial 94: S0100^94
Best monomial: S0100^93
Row 94: pivot 94

Step 96, 729 columns
Monomial 95: S0100^95
Best monomial: S0100^94
Row 95: pivot 95

Step 97, 729 columns
Monomial 96: S0100^96
Best monomial: S0100^95
Row 96: pivot 96

Step 98, 729 columns
Monomial 97: S0100^97
Best monomial: S0100^96
Row 97: pivot 97

Step 99, 729 columns
Monomial 98: S0100^98
Best monomial: S0100^97
Row 98: pivot 98

Step 100, 729 columns
Monomial 99: S0100^99
Best monomial: S0100^98
Row 99: pivot 99

Step 101, 729 columns
Monomial 100: S0100^100
Best monomial: S0100^99
Row 100: pivot 100

Step 102, 729 columns
Monomial 101: S0100^101
Best monomial: S0100^100
Row 101: pivot 101

Step 103, 729 columns
Monomial 102: S0100^102
Best monomial: S0100^101
Row 102: pivot 102

Step 104, 729 columns
Monomial 103: S0100^103
Best monomial: S0100^102
Row 103: pivot 103

Step 105, 729 columns
Monomial 104: S0100^104
Best monomial: S0100^103
Row 104: pivot 104

Step 106, 729 columns
Monomial 105: S0100^105
Best monomial: S0100^104
Row 105: pivot 105

Step 107, 729 columns
Monomial 106: S0100^106
Best monomial: S0100^105
Row 106: pivot 106

Step 108, 729 columns
Monomial 107: S0100^107
Best monomial: S0100^106
Row 107: pivot 107

Step 109, 729 columns
Monomial 108: S0100^108
Best monomial: S0100^107
Row 108: pivot 108

Step 110, 729 columns
Monomial 109: S0100^109
Best monomial: S0100^108
Row 109: pivot 109

Step 111, 729 columns
Monomial 110: S0100^110
Best monomial: S0100^109
Row 110: pivot 110

Step 112, 729 columns
Monomial 111: S0100^111
Best monomial: S0100^110
Row 111: pivot 111

Step 113, 729 columns
Monomial 112: S0100^112
Best monomial: S0100^111
Row 112: pivot 112

Step 114, 729 columns
Monomial 113: S0100^113
Best monomial: S0100^112
Row 113: pivot 113

Step 115, 729 columns
Monomial 114: S0100^114
Best monomial: S0100^113
Row 114: pivot 114

Step 116, 729 columns
Monomial 115: S0100^115
Best monomial: S0100^114
Row 115: pivot 115

Step 117, 729 columns
Monomial 116: S0100^116
Best monomial: S0100^115
Row 116: pivot 116

Step 118, 729 columns
Monomial 117: S0100^117
Best monomial: S0100^116
Row 117: pivot 117

Step 119, 729 columns
Monomial 118: S0100^118
Best monomial: S0100^117
Row 118: pivot 118

Step 120, 729 columns
Monomial 119: S0100^119
Best monomial: S0100^118
Row 119: pivot 119

Step 121, 729 columns
Monomial 120: S0100^120
Best monomial: S0100^119
Row 120: pivot 120

Step 122, 729 columns
Monomial 121: S0100^121
Best monomial: S0100^120
Row 121: pivot 121

Step 123, 729 columns
Monomial 122: S0100^122
Best monomial: S0100^121
Row 122: pivot 122

Step 124, 729 columns
Monomial 123: S0100^123
Best monomial: S0100^122
Row 123: pivot 123

Step 125, 729 columns
Monomial 124: S0100^124
Best monomial: S0100^123
Row 124: pivot 124

Step 126, 729 columns
Monomial 125: S0100^125
Best monomial: S0100^124
Row 125: pivot 125

Step 127, 729 columns
Monomial 126: S0100^126
Best monomial: S0100^125
Row 126: pivot 126

Step 128, 729 columns
Monomial 127: S0100^127
Best monomial: S0100^126
Row 127: pivot 127

Step 129, 729 columns
Monomial 128: S0100^128
Best monomial: S0100^127
Row 128: pivot 128

Step 130, 729 columns
Monomial 129: S0100^129
Best monomial: S0100^128
Row 129: pivot 129

Step 131, 729 columns
Monomial 130: S0100^130
Best monomial: S0100^129
Row 130: pivot 130

Step 132, 729 columns
Monomial 131: S0100^131
Best monomial: S0100^130
Row 131: pivot 131

Step 133, 729 columns
Monomial 132: S0100^132
Best monomial: S0100^131
Row 132: pivot 132

Step 134, 729 columns
Monomial 133: S0100^133
Best monomial: S0100^132
Row 133: pivot 133

Step 135, 729 columns
Monomial 134: S0100^134
Best monomial: S0100^133
Row 134: pivot 134

Step 136, 729 columns
Monomial 135: S0100^135
Best monomial: S0100^134
Row 135: pivot 135

Step 137, 729 columns
Monomial 136: S0100^136
Best monomial: S0100^135
Row 136: pivot 136

Step 138, 729 columns
Monomial 137: S0100^137
Best monomial: S0100^136
Row 137: pivot 137

Step 139, 729 columns
Monomial 138: S0100^138
Best monomial: S0100^137
Row 138: pivot 138

Step 140, 729 columns
Monomial 139: S0100^139
Best monomial: S0100^138
Row 139: pivot 139

Step 141, 729 columns
Monomial 140: S0100^140
Best monomial: S0100^139
Row 140: pivot 140

Step 142, 729 columns
Monomial 141: S0100^141
Best monomial: S0100^140
Row 141: pivot 141

Step 143, 729 columns
Monomial 142: S0100^142
Best monomial: S0100^141
Row 142: pivot 142

Step 144, 729 columns
Monomial 143: S0100^143
Best monomial: S0100^142
Row 143: pivot 143

Step 145, 729 columns
Monomial 144: S0100^144
Best monomial: S0100^143
Row 144: pivot 144

Step 146, 729 columns
Monomial 145: S0100^145
Best monomial: S0100^144
Row 145: pivot 145

Step 147, 729 columns
Monomial 146: S0100^146
Best monomial: S0100^145
Row 146: pivot 146

Step 148, 729 columns
Monomial 147: S0100^147
Best monomial: S0100^146
Row 147: pivot 147

Step 149, 729 columns
Monomial 148: S0100^148
Best monomial: S0100^147
Row 148: pivot 148

Step 150, 729 columns
Monomial 149: S0100^149
Best monomial: S0100^148
Row 149: pivot 149

Step 151, 729 columns
Monomial 150: S0100^150
Best monomial: S0100^149
Row 150: pivot 150

Step 152, 729 columns
Monomial 151: S0100^151
Best monomial: S0100^150
Row 151: pivot 151

Step 153, 729 columns
Monomial 152: S0100^152
Best monomial: S0100^151
Row 152: pivot 152

Step 154, 729 columns
Monomial 153: S0100^153
Best monomial: S0100^152
Row 153: pivot 153

Step 155, 729 columns
Monomial 154: S0100^154
Best monomial: S0100^153
Row 154: pivot 154

Step 156, 729 columns
Monomial 155: S0100^155
Best monomial: S0100^154
Row 155: pivot 155

Step 157, 729 columns
Monomial 156: S0100^156
Best monomial: S0100^155
Row 156: pivot 156

Step 158, 729 columns
Monomial 157: S0100^157
Best monomial: S0100^156
Row 157: pivot 157

Step 159, 729 columns
Monomial 158: S0100^158
Best monomial: S0100^157
Row 158: pivot 158

Step 160, 729 columns
Monomial 159: S0100^159
Best monomial: S0100^158
Row 159: pivot 159

Step 161, 729 columns
Monomial 160: S0100^160
Best monomial: S0100^159
Row 160: pivot 160

Step 162, 729 columns
Monomial 161: S0100^161
Best monomial: S0100^160
Row 161: pivot 161

Step 163, 729 columns
Monomial 162: S0100^162
Best monomial: S0100^161
Row 162: pivot 162

Step 164, 729 columns
Monomial 163: S0100^163
Best monomial: S0100^162
Row 163: pivot 163

Step 165, 729 columns
Monomial 164: S0100^164
Best monomial: S0100^163
Row 164: pivot 164

Step 166, 729 columns
Monomial 165: S0100^165
Best monomial: S0100^164
Row 165: pivot 165

Step 167, 729 columns
Monomial 166: S0100^166
Best monomial: S0100^165
Row 166: pivot 166

Step 168, 729 columns
Monomial 167: S0100^167
Best monomial: S0100^166
Row 167: pivot 167

Step 169, 729 columns
Monomial 168: S0100^168
Best monomial: S0100^167
Row 168: pivot 168

Step 170, 729 columns
Monomial 169: S0100^169
Best monomial: S0100^168
Row 169: pivot 169

Step 171, 729 columns
Monomial 170: S0100^170
Best monomial: S0100^169
Row 170: pivot 170

Step 172, 729 columns
Monomial 171: S0100^171
Best monomial: S0100^170
Row 171: pivot 171

Step 173, 729 columns
Monomial 172: S0100^172
Best monomial: S0100^171
Row 172: pivot 172

Step 174, 729 columns
Monomial 173: S0100^173
Best monomial: S0100^172
Row 173: pivot 173

Step 175, 729 columns
Monomial 174: S0100^174
Best monomial: S0100^173
Row 174: pivot 174

Step 176, 729 columns
Monomial 175: S0100^175
Best monomial: S0100^174
Row 175: pivot 175

Step 177, 729 columns
Monomial 176: S0100^176
Best monomial: S0100^175
Row 176: pivot 176

Step 178, 729 columns
Monomial 177: S0100^177
Best monomial: S0100^176
Row 177: pivot 177

Step 179, 729 columns
Monomial 178: S0100^178
Best monomial: S0100^177
Row 178: pivot 178

Step 180, 729 columns
Monomial 179: S0100^179
Best monomial: S0100^178
Row 179: pivot 179

Step 181, 729 columns
Monomial 180: S0100^180
Best monomial: S0100^179
Row 180: pivot 180

Step 182, 729 columns
Monomial 181: S0100^181
Best monomial: S0100^180
Row 181: pivot 181

Step 183, 729 columns
Monomial 182: S0100^182
Best monomial: S0100^181
Row 182: pivot 182

Step 184, 729 columns
Monomial 183: S0100^183
Best monomial: S0100^182
Row 183: pivot 183

Step 185, 729 columns
Monomial 184: S0100^184
Best monomial: S0100^183
Row 184: pivot 184

Step 186, 729 columns
Monomial 185: S0100^185
Best monomial: S0100^184
Row 185: pivot 185

Step 187, 729 columns
Monomial 186: S0100^186
Best monomial: S0100^185
Row 186: pivot 186

Step 188, 729 columns
Monomial 187: S0100^187
Best monomial: S0100^186
Row 187: pivot 187

Step 189, 729 columns
Monomial 188: S0100^188
Best monomial: S0100^187
Row 188: pivot 188

Step 190, 729 columns
Monomial 189: S0100^189
Best monomial: S0100^188
Row 189: pivot 189

Step 191, 729 columns
Monomial 190: S0100^190
Best monomial: S0100^189
Row 190: pivot 190

Step 192, 729 columns
Monomial 191: S0100^191
Best monomial: S0100^190
Row 191: pivot 191

Step 193, 729 columns
Monomial 192: S0100^192
Best monomial: S0100^191
Row 192: pivot 192

Step 194, 729 columns
Monomial 193: S0100^193
Best monomial: S0100^192
Row 193: pivot 193

Step 195, 729 columns
Monomial 194: S0100^194
Best monomial: S0100^193
Row 194: pivot 194

Step 196, 729 columns
Monomial 195: S0100^195
Best monomial: S0100^194
Row 195: pivot 195

Step 197, 729 columns
Monomial 196: S0100^196
Best monomial: S0100^195
Row 196: pivot 196

Step 198, 729 columns
Monomial 197: S0100^197
Best monomial: S0100^196
Row 197: pivot 197

Step 199, 729 columns
Monomial 198: S0100^198
Best monomial: S0100^197
Row 198: pivot 198

Step 200, 729 columns
Monomial 199: S0100^199
Best monomial: S0100^198
Row 199: pivot 199

Step 201, 729 columns
Monomial 200: S0100^200
Best monomial: S0100^199
Row 200: pivot 200

Step 202, 729 columns
Monomial 201: S0100^201
Best monomial: S0100^200
Row 201: pivot 201

Step 203, 729 columns
Monomial 202: S0100^202
Best monomial: S0100^201
Row 202: pivot 202

Step 204, 729 columns
Monomial 203: S0100^203
Best monomial: S0100^202
Row 203: pivot 203

Step 205, 729 columns
Monomial 204: S0100^204
Best monomial: S0100^203
Row 204: pivot 204

Step 206, 729 columns
Monomial 205: S0100^205
Best monomial: S0100^204
Row 205: pivot 205

Step 207, 729 columns
Monomial 206: S0100^206
Best monomial: S0100^205
Row 206: pivot 206

Step 208, 729 columns
Monomial 207: S0100^207
Best monomial: S0100^206
Row 207: pivot 207

Step 209, 729 columns
Monomial 208: S0100^208
Best monomial: S0100^207
Row 208: pivot 208

Step 210, 729 columns
Monomial 209: S0100^209
Best monomial: S0100^208
Row 209: pivot 209

Step 211, 729 columns
Monomial 210: S0100^210
Best monomial: S0100^209
Row 210: pivot 210

Step 212, 729 columns
Monomial 211: S0100^211
Best monomial: S0100^210
Row 211: pivot 211

Step 213, 729 columns
Monomial 212: S0100^212
Best monomial: S0100^211
Row 212: pivot 212

Step 214, 729 columns
Monomial 213: S0100^213
Best monomial: S0100^212
Row 213: pivot 213

Step 215, 729 columns
Monomial 214: S0100^214
Best monomial: S0100^213
Row 214: pivot 214

Step 216, 729 columns
Monomial 215: S0100^215
Best monomial: S0100^214
Row 215: pivot 215

Step 217, 729 columns
Monomial 216: S0100^216
Best monomial: S0100^215
Row 216: pivot 216

Step 218, 729 columns
Monomial 217: S0100^217
Best monomial: S0100^216
Row 217: pivot 217

Step 219, 729 columns
Monomial 218: S0100^218
Best monomial: S0100^217
Row 218: pivot 218

Step 220, 729 columns
Monomial 219: S0100^219
Best monomial: S0100^218
Row 219: pivot 219

Step 221, 729 columns
Monomial 220: S0100^220
Best monomial: S0100^219
Row 220: pivot 220

Step 222, 729 columns
Monomial 221: S0100^221
Best monomial: S0100^220
Row 221: pivot 221

Step 223, 729 columns
Monomial 222: S0100^222
Best monomial: S0100^221
Row 222: pivot 222

Step 224, 729 columns
Monomial 223: S0100^223
Best monomial: S0100^222
Row 223: pivot 223

Step 225, 729 columns
Monomial 224: S0100^224
Best monomial: S0100^223
Row 224: pivot 224

Step 226, 729 columns
Monomial 225: S0100^225
Best monomial: S0100^224
Row 225: pivot 225

Step 227, 729 columns
Monomial 226: S0100^226
Best monomial: S0100^225
Row 226: pivot 226

Step 228, 729 columns
Monomial 227: S0100^227
Best monomial: S0100^226
Row 227: pivot 227

Step 229, 729 columns
Monomial 228: S0100^228
Best monomial: S0100^227
Row 228: pivot 228

Step 230, 729 columns
Monomial 229: S0100^229
Best monomial: S0100^228
Row 229: pivot 229

Step 231, 729 columns
Monomial 230: S0100^230
Best monomial: S0100^229
Row 230: pivot 230

Step 232, 729 columns
Monomial 231: S0100^231
Best monomial: S0100^230
Row 231: pivot 231

Step 233, 729 columns
Monomial 232: S0100^232
Best monomial: S0100^231
Row 232: pivot 232

Step 234, 729 columns
Monomial 233: S0100^233
Best monomial: S0100^232
Row 233: pivot 233

Step 235, 729 columns
Monomial 234: S0100^234
Best monomial: S0100^233
Row 234: pivot 234

Step 236, 729 columns
Monomial 235: S0100^235
Best monomial: S0100^234
Row 235: pivot 235

Step 237, 729 columns
Monomial 236: S0100^236
Best monomial: S0100^235
Row 236: pivot 236

Step 238, 729 columns
Monomial 237: S0100^237
Best monomial: S0100^236
Row 237: pivot 237

Step 239, 729 columns
Monomial 238: S0100^238
Best monomial: S0100^237
Row 238: pivot 238

Step 240, 729 columns
Monomial 239: S0100^239
Best monomial: S0100^238
Row 239: pivot 239

Step 241, 729 columns
Monomial 240: S0100^240
Best monomial: S0100^239
Row 240: pivot 240

Step 242, 729 columns
Monomial 241: S0100^241
Best monomial: S0100^240
Row 241: pivot 241

Step 243, 729 columns
Monomial 242: S0100^242
Best monomial: S0100^241
Row 242: pivot 242

Step 244, 729 columns
Monomial 243: S0100^243
Best monomial: S0100^242
Row 243: pivot 243

Step 245, 729 columns
Monomial 244: S0100^244
Best monomial: S0100^243
Row 244: pivot 244

Step 246, 729 columns
Monomial 245: S0100^245
Best monomial: S0100^244
Row 245: pivot 245

Step 247, 729 columns
Monomial 246: S0100^246
Best monomial: S0100^245
Row 246: pivot 246

Step 248, 729 columns
Monomial 247: S0100^247
Best monomial: S0100^246
Row 247: pivot 247

Step 249, 729 columns
Monomial 248: S0100^248
Best monomial: S0100^247
Row 248: pivot 248

Step 250, 729 columns
Monomial 249: S0100^249
Best monomial: S0100^248
Row 249: pivot 249

Step 251, 729 columns
Monomial 250: S0100^250
Best monomial: S0100^249
Row 250: pivot 250

Step 252, 729 columns
Monomial 251: S0100^251
Best monomial: S0100^250
Row 251: pivot 251

Step 253, 729 columns
Monomial 252: S0100^252
Best monomial: S0100^251
Row 252: pivot 252

Step 254, 729 columns
Monomial 253: S0100^253
Best monomial: S0100^252
Row 253: pivot 253

Step 255, 729 columns
Monomial 254: S0100^254
Best monomial: S0100^253
Row 254: pivot 254

Step 256, 729 columns
Monomial 255: S0100^255
Best monomial: S0100^254
Row 255: pivot 255

Step 257, 729 columns
Monomial 256: S0100^256
Best monomial: S0100^255
Row 256: pivot 256

Step 258, 729 columns
Monomial 257: S0100^257
Best monomial: S0100^256
Row 257: pivot 257

Step 259, 729 columns
Monomial 258: S0100^258
Best monomial: S0100^257
Row 258: pivot 258

Step 260, 729 columns
Monomial 259: S0100^259
Best monomial: S0100^258
Row 259: pivot 259

Step 261, 729 columns
Monomial 260: S0100^260
Best monomial: S0100^259
Row 260: pivot 260

Step 262, 729 columns
Monomial 261: S0100^261
Best monomial: S0100^260
Row 261: pivot 261

Step 263, 729 columns
Monomial 262: S0100^262
Best monomial: S0100^261
Row 262: pivot 262

Step 264, 729 columns
Monomial 263: S0100^263
Best monomial: S0100^262
Row 263: pivot 263

Step 265, 729 columns
Monomial 264: S0100^264
Best monomial: S0100^263
Row 264: pivot 264

Step 266, 729 columns
Monomial 265: S0100^265
Best monomial: S0100^264
Row 265: pivot 265

Step 267, 729 columns
Monomial 266: S0100^266
Best monomial: S0100^265
Row 266: pivot 266

Step 268, 729 columns
Monomial 267: S0100^267
Best monomial: S0100^266
Row 267: pivot 267

Step 269, 729 columns
Monomial 268: S0100^268
Best monomial: S0100^267
Row 268: pivot 268

Step 270, 729 columns
Monomial 269: S0100^269
Best monomial: S0100^268
Row 269: pivot 269

Step 271, 729 columns
Monomial 270: S0100^270
Best monomial: S0100^269
Row 270: pivot 270

Step 272, 729 columns
Monomial 271: S0100^271
Best monomial: S0100^270
Row 271: pivot 271

Step 273, 729 columns
Monomial 272: S0100^272
Best monomial: S0100^271
Row 272: pivot 272

Step 274, 729 columns
Monomial 273: S0100^273
Best monomial: S0100^272
Row 273: pivot 273

Step 275, 729 columns
Monomial 274: S0100^274
Best monomial: S0100^273
Row 274: pivot 274

Step 276, 729 columns
Monomial 275: S0100^275
Best monomial: S0100^274
Row 275: pivot 275

Step 277, 729 columns
Monomial 276: S0100^276
Best monomial: S0100^275
Row 276: pivot 276

Step 278, 729 columns
Monomial 277: S0100^277
Best monomial: S0100^276
Row 277: pivot 277

Step 279, 729 columns
Monomial 278: S0100^278
Best monomial: S0100^277
Row 278: pivot 278

Step 280, 729 columns
Monomial 279: S0100^279
Best monomial: S0100^278
Row 279: pivot 279

Step 281, 729 columns
Monomial 280: S0100^280
Best monomial: S0100^279
Row 280: pivot 280

Step 282, 729 columns
Monomial 281: S0100^281
Best monomial: S0100^280
Row 281: pivot 281

Step 283, 729 columns
Monomial 282: S0100^282
Best monomial: S0100^281
Row 282: pivot 282

Step 284, 729 columns
Monomial 283: S0100^283
Best monomial: S0100^282
Row 283: pivot 283

Step 285, 729 columns
Monomial 284: S0100^284
Best monomial: S0100^283
Row 284: pivot 284

Step 286, 729 columns
Monomial 285: S0100^285
Best monomial: S0100^284
Row 285: pivot 285

Step 287, 729 columns
Monomial 286: S0100^286
Best monomial: S0100^285
Row 286: pivot 286

Step 288, 729 columns
Monomial 287: S0100^287
Best monomial: S0100^286
Row 287: pivot 287

Step 289, 729 columns
Monomial 288: S0100^288
Best monomial: S0100^287
Row 288: pivot 288

Step 290, 729 columns
Monomial 289: S0100^289
Best monomial: S0100^288
Row 289: pivot 289

Step 291, 729 columns
Monomial 290: S0100^290
Best monomial: S0100^289
Row 290: pivot 290

Step 292, 729 columns
Monomial 291: S0100^291
Best monomial: S0100^290
Row 291: pivot 291

Step 293, 729 columns
Monomial 292: S0100^292
Best monomial: S0100^291
Row 292: pivot 292

Step 294, 729 columns
Monomial 293: S0100^293
Best monomial: S0100^292
Row 293: pivot 293

Step 295, 729 columns
Monomial 294: S0100^294
Best monomial: S0100^293
Row 294: pivot 294

Step 296, 729 columns
Monomial 295: S0100^295
Best monomial: S0100^294
Row 295: pivot 295

Step 297, 729 columns
Monomial 296: S0100^296
Best monomial: S0100^295
Row 296: pivot 296

Step 298, 729 columns
Monomial 297: S0100^297
Best monomial: S0100^296
Row 297: pivot 297

Step 299, 729 columns
Monomial 298: S0100^298
Best monomial: S0100^297
Row 298: pivot 298

Step 300, 729 columns
Monomial 299: S0100^299
Best monomial: S0100^298
Row 299: pivot 299

Step 301, 729 columns
Monomial 300: S0100^300
Best monomial: S0100^299
Row 300: pivot 300

Step 302, 729 columns
Monomial 301: S0100^301
Best monomial: S0100^300
Row 301: pivot 301

Step 303, 729 columns
Monomial 302: S0100^302
Best monomial: S0100^301
Row 302: pivot 302

Step 304, 729 columns
Monomial 303: S0100^303
Best monomial: S0100^302
Row 303: pivot 303

Step 305, 729 columns
Monomial 304: S0100^304
Best monomial: S0100^303
Row 304: pivot 304

Step 306, 729 columns
Monomial 305: S0100^305
Best monomial: S0100^304
Row 305: pivot 305

Step 307, 729 columns
Monomial 306: S0100^306
Best monomial: S0100^305
Row 306: pivot 306

Step 308, 729 columns
Monomial 307: S0100^307
Best monomial: S0100^306
Row 307: pivot 307

Step 309, 729 columns
Monomial 308: S0100^308
Best monomial: S0100^307
Row 308: pivot 308

Step 310, 729 columns
Monomial 309: S0100^309
Best monomial: S0100^308
Row 309: pivot 309

Step 311, 729 columns
Monomial 310: S0100^310
Best monomial: S0100^309
Row 310: pivot 310

Step 312, 729 columns
Monomial 311: S0100^311
Best monomial: S0100^310
Row 311: pivot 311

Step 313, 729 columns
Monomial 312: S0100^312
Best monomial: S0100^311
Row 312: pivot 312

Step 314, 729 columns
Monomial 313: S0100^313
Best monomial: S0100^312
Row 313: pivot 313

Step 315, 729 columns
Monomial 314: S0100^314
Best monomial: S0100^313
Row 314: pivot 314

Step 316, 729 columns
Monomial 315: S0100^315
Best monomial: S0100^314
Row 315: pivot 315

Step 317, 729 columns
Monomial 316: S0100^316
Best monomial: S0100^315
Row 316: pivot 316

Step 318, 729 columns
Monomial 317: S0100^317
Best monomial: S0100^316
Row 317: pivot 317

Step 319, 729 columns
Monomial 318: S0100^318
Best monomial: S0100^317
Row 318: pivot 318

Step 320, 729 columns
Monomial 319: S0100^319
Best monomial: S0100^318
Row 319: pivot 319

Step 321, 729 columns
Monomial 320: S0100^320
Best monomial: S0100^319
Row 320: pivot 320

Step 322, 729 columns
Monomial 321: S0100^321
Best monomial: S0100^320
Row 321: pivot 321

Step 323, 729 columns
Monomial 322: S0100^322
Best monomial: S0100^321
Row 322: pivot 322

Step 324, 729 columns
Monomial 323: S0100^323
Best monomial: S0100^322
Row 323: pivot 323

Step 325, 729 columns
Monomial 324: S0100^324
Best monomial: S0100^323
Row 324: pivot 324

Step 326, 729 columns
Monomial 325: S0100^325
Best monomial: S0100^324
Row 325: pivot 325

Step 327, 729 columns
Monomial 326: S0100^326
Best monomial: S0100^325
Row 326: pivot 326

Step 328, 729 columns
Monomial 327: S0100^327
Best monomial: S0100^326
Row 327: pivot 327

Step 329, 729 columns
Monomial 328: S0100^328
Best monomial: S0100^327
Row 328: pivot 328

Step 330, 729 columns
Monomial 329: S0100^329
Best monomial: S0100^328
Row 329: pivot 329

Step 331, 729 columns
Monomial 330: S0100^330
Best monomial: S0100^329
Row 330: pivot 330

Step 332, 729 columns
Monomial 331: S0100^331
Best monomial: S0100^330
Row 331: pivot 331

Step 333, 729 columns
Monomial 332: S0100^332
Best monomial: S0100^331
Row 332: pivot 332

Step 334, 729 columns
Monomial 333: S0100^333
Best monomial: S0100^332
Row 333: pivot 333

Step 335, 729 columns
Monomial 334: S0100^334
Best monomial: S0100^333
Row 334: pivot 334

Step 336, 729 columns
Monomial 335: S0100^335
Best monomial: S0100^334
Row 335: pivot 335

Step 337, 729 columns
Monomial 336: S0100^336
Best monomial: S0100^335
Row 336: pivot 336

Step 338, 729 columns
Monomial 337: S0100^337
Best monomial: S0100^336
Row 337: pivot 337

Step 339, 729 columns
Monomial 338: S0100^338
Best monomial: S0100^337
Row 338: pivot 338

Step 340, 729 columns
Monomial 339: S0100^339
Best monomial: S0100^338
Row 339: pivot 339

Step 341, 729 columns
Monomial 340: S0100^340
Best monomial: S0100^339
Row 340: pivot 340

Step 342, 729 columns
Monomial 341: S0100^341
Best monomial: S0100^340
Row 341: pivot 341

Step 343, 729 columns
Monomial 342: S0100^342
Best monomial: S0100^341
Row 342: pivot 342

Step 344, 729 columns
Monomial 343: S0100^343
Best monomial: S0100^342
Row 343: pivot 343

Step 345, 729 columns
Monomial 344: S0100^344
Best monomial: S0100^343
Row 344: pivot 344

Step 346, 729 columns
Monomial 345: S0100^345
Best monomial: S0100^344
Row 345: pivot 345

Step 347, 729 columns
Monomial 346: S0100^346
Best monomial: S0100^345
Row 346: pivot 346

Step 348, 729 columns
Monomial 347: S0100^347
Best monomial: S0100^346
Row 347: pivot 347

Step 349, 729 columns
Monomial 348: S0100^348
Best monomial: S0100^347
Row 348: pivot 348

Step 350, 729 columns
Monomial 349: S0100^349
Best monomial: S0100^348
Row 349: pivot 349

Step 351, 729 columns
Monomial 350: S0100^350
Best monomial: S0100^349
Row 350: pivot 350

Step 352, 729 columns
Monomial 351: S0100^351
Best monomial: S0100^350
Row 351: pivot 351

Step 353, 729 columns
Monomial 352: S0100^352
Best monomial: S0100^351
Row 352: pivot 352

Step 354, 729 columns
Monomial 353: S0100^353
Best monomial: S0100^352
Row 353: pivot 353

Step 355, 729 columns
Monomial 354: S0100^354
Best monomial: S0100^353
Row 354: pivot 354

Step 356, 729 columns
Monomial 355: S0100^355
Best monomial: S0100^354
Row 355: pivot 355

Step 357, 729 columns
Monomial 356: S0100^356
Best monomial: S0100^355
Row 356: pivot 356

Step 358, 729 columns
Monomial 357: S0100^357
Best monomial: S0100^356
Row 357: pivot 357

Step 359, 729 columns
Monomial 358: S0100^358
Best monomial: S0100^357
Row 358: pivot 358

Step 360, 729 columns
Monomial 359: S0100^359
Best monomial: S0100^358
Row 359: pivot 359

Step 361, 729 columns
Monomial 360: S0100^360
Best monomial: S0100^359
Row 360: pivot 360

Step 362, 729 columns
Monomial 361: S0100^361
Best monomial: S0100^360
Row 361: pivot 361

Step 363, 729 columns
Monomial 362: S0100^362
Best monomial: S0100^361
Row 362: pivot 362

Step 364, 729 columns
Monomial 363: S0100^363
Best monomial: S0100^362
Row 363: pivot 363

Step 365, 729 columns
Monomial 364: S0100^364
Best monomial: S0100^363
Row 364: pivot 364

Step 366, 729 columns
Monomial 365: S0100^365
Best monomial: S0100^364
Row 365: pivot 365

Step 367, 729 columns
Monomial 366: S0100^366
Best monomial: S0100^365
Row 366: pivot 366

Step 368, 729 columns
Monomial 367: S0100^367
Best monomial: S0100^366
Row 367: pivot 367

Step 369, 729 columns
Monomial 368: S0100^368
Best monomial: S0100^367
Row 368: pivot 368

Step 370, 729 columns
Monomial 369: S0100^369
Best monomial: S0100^368
Row 369: pivot 369

Step 371, 729 columns
Monomial 370: S0100^370
Best monomial: S0100^369
Row 370: pivot 370

Step 372, 729 columns
Monomial 371: S0100^371
Best monomial: S0100^370
Row 371: pivot 371

Step 373, 729 columns
Monomial 372: S0100^372
Best monomial: S0100^371
Row 372: pivot 372

Step 374, 729 columns
Monomial 373: S0100^373
Best monomial: S0100^372
Row 373: pivot 373

Step 375, 729 columns
Monomial 374: S0100^374
Best monomial: S0100^373
Row 374: pivot 374

Step 376, 729 columns
Monomial 375: S0100^375
Best monomial: S0100^374
Row 375: pivot 375

Step 377, 729 columns
Monomial 376: S0100^376
Best monomial: S0100^375
Row 376: pivot 376

Step 378, 729 columns
Monomial 377: S0100^377
Best monomial: S0100^376
Row 377: pivot 377

Step 379, 729 columns
Monomial 378: S0100^378
Best monomial: S0100^377
Row 378: pivot 378

Step 380, 729 columns
Monomial 379: S0100^379
Best monomial: S0100^378
Row 379: pivot 379

Step 381, 729 columns
Monomial 380: S0100^380
Best monomial: S0100^379
Row 380: pivot 380

Step 382, 729 columns
Monomial 381: S0100^381
Best monomial: S0100^380
Row 381: pivot 381

Step 383, 729 columns
Monomial 382: S0100^382
Best monomial: S0100^381
Row 382: pivot 382

Step 384, 729 columns
Monomial 383: S0100^383
Best monomial: S0100^382
Row 383: pivot 383

Step 385, 729 columns
Monomial 384: S0100^384
Best monomial: S0100^383
Row 384: pivot 384

Step 386, 729 columns
Monomial 385: S0100^385
Best monomial: S0100^384
Row 385: pivot 385

Step 387, 729 columns
Monomial 386: S0100^386
Best monomial: S0100^385
Row 386: pivot 386

Step 388, 729 columns
Monomial 387: S0100^387
Best monomial: S0100^386
Row 387: pivot 387

Step 389, 729 columns
Monomial 388: S0100^388
Best monomial: S0100^387
Row 388: pivot 388

Step 390, 729 columns
Monomial 389: S0100^389
Best monomial: S0100^388
Row 389: pivot 389

Step 391, 729 columns
Monomial 390: S0100^390
Best monomial: S0100^389
Row 390: pivot 390

Step 392, 729 columns
Monomial 391: S0100^391
Best monomial: S0100^390
Row 391: pivot 391

Step 393, 729 columns
Monomial 392: S0100^392
Best monomial: S0100^391
Row 392: pivot 392

Step 394, 729 columns
Monomial 393: S0100^393
Best monomial: S0100^392
Row 393: pivot 393

Step 395, 729 columns
Monomial 394: S0100^394
Best monomial: S0100^393
Row 394: pivot 394

Step 396, 729 columns
Monomial 395: S0100^395
Best monomial: S0100^394
Row 395: pivot 395

Step 397, 729 columns
Monomial 396: S0100^396
Best monomial: S0100^395
Row 396: pivot 396

Step 398, 729 columns
Monomial 397: S0100^397
Best monomial: S0100^396
Row 397: pivot 397

Step 399, 729 columns
Monomial 398: S0100^398
Best monomial: S0100^397
Row 398: pivot 398

Step 400, 729 columns
Monomial 399: S0100^399
Best monomial: S0100^398
Row 399: pivot 399

Step 401, 729 columns
Monomial 400: S0100^400
Best monomial: S0100^399
Row 400: pivot 400

Step 402, 729 columns
Monomial 401: S0100^401
Best monomial: S0100^400
Row 401: pivot 401

Step 403, 729 columns
Monomial 402: S0100^402
Best monomial: S0100^401
Row 402: pivot 402

Step 404, 729 columns
Monomial 403: S0100^403
Best monomial: S0100^402
Row 403: pivot 403

Step 405, 729 columns
Monomial 404: S0100^404
Best monomial: S0100^403
Row 404: pivot 404

Step 406, 729 columns
Monomial 405: S0100^405
Best monomial: S0100^404
Row 405: pivot 405

Step 407, 729 columns
Monomial 406: S0100^406
Best monomial: S0100^405
Row 406: pivot 406

Step 408, 729 columns
Monomial 407: S0100^407
Best monomial: S0100^406
Row 407: pivot 407

Step 409, 729 columns
Monomial 408: S0100^408
Best monomial: S0100^407
Row 408: pivot 408

Step 410, 729 columns
Monomial 409: S0100^409
Best monomial: S0100^408
Row 409: pivot 409

Step 411, 729 columns
Monomial 410: S0100^410
Best monomial: S0100^409
Row 410: pivot 410

Step 412, 729 columns
Monomial 411: S0100^411
Best monomial: S0100^410
Row 411: pivot 411

Step 413, 729 columns
Monomial 412: S0100^412
Best monomial: S0100^411
Row 412: pivot 412

Step 414, 729 columns
Monomial 413: S0100^413
Best monomial: S0100^412
Row 413: pivot 413

Step 415, 729 columns
Monomial 414: S0100^414
Best monomial: S0100^413
Row 414: pivot 414

Step 416, 729 columns
Monomial 415: S0100^415
Best monomial: S0100^414
Row 415: pivot 415

Step 417, 729 columns
Monomial 416: S0100^416
Best monomial: S0100^415
Row 416: pivot 416

Step 418, 729 columns
Monomial 417: S0100^417
Best monomial: S0100^416
Row 417: pivot 417

Step 419, 729 columns
Monomial 418: S0100^418
Best monomial: S0100^417
Row 418: pivot 418

Step 420, 729 columns
Monomial 419: S0100^419
Best monomial: S0100^418
Row 419: pivot 419

Step 421, 729 columns
Monomial 420: S0100^420
Best monomial: S0100^419
Row 420: pivot 420

Step 422, 729 columns
Monomial 421: S0100^421
Best monomial: S0100^420
Row 421: pivot 421

Step 423, 729 columns
Monomial 422: S0100^422
Best monomial: S0100^421
Row 422: pivot 422

Step 424, 729 columns
Monomial 423: S0100^423
Best monomial: S0100^422
Row 423: pivot 423

Step 425, 729 columns
Monomial 424: S0100^424
Best monomial: S0100^423
Row 424: pivot 424

Step 426, 729 columns
Monomial 425: S0100^425
Best monomial: S0100^424
Row 425: pivot 425

Step 427, 729 columns
Monomial 426: S0100^426
Best monomial: S0100^425
Row 426: pivot 426

Step 428, 729 columns
Monomial 427: S0100^427
Best monomial: S0100^426
Row 427: pivot 427

Step 429, 729 columns
Monomial 428: S0100^428
Best monomial: S0100^427
Row 428: pivot 428

Step 430, 729 columns
Monomial 429: S0100^429
Best monomial: S0100^428
Row 429: pivot 429

Step 431, 729 columns
Monomial 430: S0100^430
Best monomial: S0100^429
Row 430: pivot 430

Step 432, 729 columns
Monomial 431: S0100^431
Best monomial: S0100^430
Row 431: pivot 431

Step 433, 729 columns
Monomial 432: S0100^432
Best monomial: S0100^431
Row 432: pivot 432

Step 434, 729 columns
Monomial 433: S0100^433
Best monomial: S0100^432
Row 433: pivot 433

Step 435, 729 columns
Monomial 434: S0100^434
Best monomial: S0100^433
Row 434: pivot 434

Step 436, 729 columns
Monomial 435: S0100^435
Best monomial: S0100^434
Row 435: pivot 435

Step 437, 729 columns
Monomial 436: S0100^436
Best monomial: S0100^435
Row 436: pivot 436

Step 438, 729 columns
Monomial 437: S0100^437
Best monomial: S0100^436
Row 437: pivot 437

Step 439, 729 columns
Monomial 438: S0100^438
Best monomial: S0100^437
Row 438: pivot 438

Step 440, 729 columns
Monomial 439: S0100^439
Best monomial: S0100^438
Row 439: pivot 439

Step 441, 729 columns
Monomial 440: S0100^440
Best monomial: S0100^439
Row 440: pivot 440

Step 442, 729 columns
Monomial 441: S0100^441
Best monomial: S0100^440
Row 441: pivot 441

Step 443, 729 columns
Monomial 442: S0100^442
Best monomial: S0100^441
Row 442: pivot 442

Step 444, 729 columns
Monomial 443: S0100^443
Best monomial: S0100^442
Row 443: pivot 443

Step 445, 729 columns
Monomial 444: S0100^444
Best monomial: S0100^443
Row 444: pivot 444

Step 446, 729 columns
Monomial 445: S0100^445
Best monomial: S0100^444
Row 445: pivot 445

Step 447, 729 columns
Monomial 446: S0100^446
Best monomial: S0100^445
Row 446: pivot 446

Step 448, 729 columns
Monomial 447: S0100^447
Best monomial: S0100^446
Row 447: pivot 447

Step 449, 729 columns
Monomial 448: S0100^448
Best monomial: S0100^447
Row 448: pivot 448

Step 450, 729 columns
Monomial 449: S0100^449
Best monomial: S0100^448
Row 449: pivot 449

Step 451, 729 columns
Monomial 450: S0100^450
Best monomial: S0100^449
Row 450: pivot 450

Step 452, 729 columns
Monomial 451: S0100^451
Best monomial: S0100^450
Row 451: pivot 451

Step 453, 729 columns
Monomial 452: S0100^452
Best monomial: S0100^451
Row 452: pivot 452

Step 454, 729 columns
Monomial 453: S0100^453
Best monomial: S0100^452
Row 453: pivot 453

Step 455, 729 columns
Monomial 454: S0100^454
Best monomial: S0100^453
Row 454: pivot 454

Step 456, 729 columns
Monomial 455: S0100^455
Best monomial: S0100^454
Row 455: pivot 455

Step 457, 729 columns
Monomial 456: S0100^456
Best monomial: S0100^455
Row 456: pivot 456

Step 458, 729 columns
Monomial 457: S0100^457
Best monomial: S0100^456
Row 457: pivot 457

Step 459, 729 columns
Monomial 458: S0100^458
Best monomial: S0100^457
Row 458: pivot 458

Step 460, 729 columns
Monomial 459: S0100^459
Best monomial: S0100^458
Row 459: pivot 459

Step 461, 729 columns
Monomial 460: S0100^460
Best monomial: S0100^459
Row 460: pivot 460

Step 462, 729 columns
Monomial 461: S0100^461
Best monomial: S0100^460
Row 461: pivot 461

Step 463, 729 columns
Monomial 462: S0100^462
Best monomial: S0100^461
Row 462: pivot 462

Step 464, 729 columns
Monomial 463: S0100^463
Best monomial: S0100^462
Row 463: pivot 463

Step 465, 729 columns
Monomial 464: S0100^464
Best monomial: S0100^463
Row 464: pivot 464

Step 466, 729 columns
Monomial 465: S0100^465
Best monomial: S0100^464
Row 465: pivot 465

Step 467, 729 columns
Monomial 466: S0100^466
Best monomial: S0100^465
Row 466: pivot 466

Step 468, 729 columns
Monomial 467: S0100^467
Best monomial: S0100^466
Row 467: pivot 467

Step 469, 729 columns
Monomial 468: S0100^468
Best monomial: S0100^467
Row 468: pivot 468

Step 470, 729 columns
Monomial 469: S0100^469
Best monomial: S0100^468
Row 469: pivot 469

Step 471, 729 columns
Monomial 470: S0100^470
Best monomial: S0100^469
Row 470: pivot 470

Step 472, 729 columns
Monomial 471: S0100^471
Best monomial: S0100^470
Row 471: pivot 471

Step 473, 729 columns
Monomial 472: S0100^472
Best monomial: S0100^471
Row 472: pivot 472

Step 474, 729 columns
Monomial 473: S0100^473
Best monomial: S0100^472
Row 473: pivot 473

Step 475, 729 columns
Monomial 474: S0100^474
Best monomial: S0100^473
Row 474: pivot 474

Step 476, 729 columns
Monomial 475: S0100^475
Best monomial: S0100^474
Row 475: pivot 475

Step 477, 729 columns
Monomial 476: S0100^476
Best monomial: S0100^475
Row 476: pivot 476

Step 478, 729 columns
Monomial 477: S0100^477
Best monomial: S0100^476
Row 477: pivot 477

Step 479, 729 columns
Monomial 478: S0100^478
Best monomial: S0100^477
Row 478: pivot 478

Step 480, 729 columns
Monomial 479: S0100^479
Best monomial: S0100^478
Row 479: pivot 479

Step 481, 729 columns
Monomial 480: S0100^480
Best monomial: S0100^479
Row 480: pivot 480

Step 482, 729 columns
Monomial 481: S0100^481
Best monomial: S0100^480
Row 481: pivot 481

Step 483, 729 columns
Monomial 482: S0100^482
Best monomial: S0100^481
Row 482: pivot 482

Step 484, 729 columns
Monomial 483: S0100^483
Best monomial: S0100^482
Row 483: pivot 483

Step 485, 729 columns
Monomial 484: S0100^484
Best monomial: S0100^483
Row 484: pivot 484

Step 486, 729 columns
Monomial 485: S0100^485
Best monomial: S0100^484
Row 485: pivot 485

Step 487, 729 columns
Monomial 486: S0100^486
Best monomial: S0100^485
Row 486: pivot 486

Step 488, 729 columns
Monomial 487: S0100^487
Best monomial: S0100^486
Row 487: pivot 487

Step 489, 729 columns
Monomial 488: S0100^488
Best monomial: S0100^487
Row 488: pivot 488

Step 490, 729 columns
Monomial 489: S0100^489
Best monomial: S0100^488
Row 489: pivot 489

Step 491, 729 columns
Monomial 490: S0100^490
Best monomial: S0100^489
Row 490: pivot 490

Step 492, 729 columns
Monomial 491: S0100^491
Best monomial: S0100^490
Row 491: pivot 491

Step 493, 729 columns
Monomial 492: S0100^492
Best monomial: S0100^491
Row 492: pivot 492

Step 494, 729 columns
Monomial 493: S0100^493
Best monomial: S0100^492
Row 493: pivot 493

Step 495, 729 columns
Monomial 494: S0100^494
Best monomial: S0100^493
Row 494: pivot 494

Step 496, 729 columns
Monomial 495: S0100^495
Best monomial: S0100^494
Row 495: pivot 495

Step 497, 729 columns
Monomial 496: S0100^496
Best monomial: S0100^495
Row 496: pivot 496

Step 498, 729 columns
Monomial 497: S0100^497
Best monomial: S0100^496
Row 497: pivot 497

Step 499, 729 columns
Monomial 498: S0100^498
Best monomial: S0100^497
Row 498: pivot 498

Step 500, 729 columns
Monomial 499: S0100^499
Best monomial: S0100^498
Row 499: pivot 499

Step 501, 729 columns
Monomial 500: S0100^500
Best monomial: S0100^499
Row 500: pivot 500

Step 502, 729 columns
Monomial 501: S0100^501
Best monomial: S0100^500
Row 501: pivot 501

Step 503, 729 columns
Monomial 502: S0100^502
Best monomial: S0100^501
Row 502: pivot 502

Step 504, 729 columns
Monomial 503: S0100^503
Best monomial: S0100^502
Row 503: pivot 503

Step 505, 729 columns
Monomial 504: S0100^504
Best monomial: S0100^503
Row 504: pivot 504

Step 506, 729 columns
Monomial 505: S0100^505
Best monomial: S0100^504
Row 505: pivot 505

Step 507, 729 columns
Monomial 506: S0100^506
Best monomial: S0100^505
Row 506: pivot 506

Step 508, 729 columns
Monomial 507: S0100^507
Best monomial: S0100^506
Row 507: pivot 507

Step 509, 729 columns
Monomial 508: S0100^508
Best monomial: S0100^507
Row 508: pivot 508

Step 510, 729 columns
Monomial 509: S0100^509
Best monomial: S0100^508
Row 509: pivot 509

Step 511, 729 columns
Monomial 510: S0100^510
Best monomial: S0100^509
Row 510: pivot 510

Step 512, 729 columns
Monomial 511: S0100^511
Best monomial: S0100^510
Row 511: pivot 511

Step 513, 729 columns
Monomial 512: S0100^512
Best monomial: S0100^511
Row 512: pivot 512

Step 514, 729 columns
Monomial 513: S0100^513
Best monomial: S0100^512
Row 513: pivot 513

Step 515, 729 columns
Monomial 514: S0100^514
Best monomial: S0100^513
Row 514: pivot 514

Step 516, 729 columns
Monomial 515: S0100^515
Best monomial: S0100^514
Row 515: pivot 515

Step 517, 729 columns
Monomial 516: S0100^516
Best monomial: S0100^515
Row 516: pivot 516

Step 518, 729 columns
Monomial 517: S0100^517
Best monomial: S0100^516
Row 517: pivot 517

Step 519, 729 columns
Monomial 518: S0100^518
Best monomial: S0100^517
Row 518: pivot 518

Step 520, 729 columns
Monomial 519: S0100^519
Best monomial: S0100^518
Row 519: pivot 519

Step 521, 729 columns
Monomial 520: S0100^520
Best monomial: S0100^519
Row 520: pivot 520

Step 522, 729 columns
Monomial 521: S0100^521
Best monomial: S0100^520
Row 521: pivot 521

Step 523, 729 columns
Monomial 522: S0100^522
Best monomial: S0100^521
Row 522: pivot 522

Step 524, 729 columns
Monomial 523: S0100^523
Best monomial: S0100^522
Row 523: pivot 523

Step 525, 729 columns
Monomial 524: S0100^524
Best monomial: S0100^523
Row 524: pivot 524

Step 526, 729 columns
Monomial 525: S0100^525
Best monomial: S0100^524
Row 525: pivot 525

Step 527, 729 columns
Monomial 526: S0100^526
Best monomial: S0100^525
Row 526: pivot 526

Step 528, 729 columns
Monomial 527: S0100^527
Best monomial: S0100^526
Row 527: pivot 527

Step 529, 729 columns
Monomial 528: S0100^528
Best monomial: S0100^527
Row 528: pivot 528

Step 530, 729 columns
Monomial 529: S0100^529
Best monomial: S0100^528
Row 529: pivot 529

Step 531, 729 columns
Monomial 530: S0100^530
Best monomial: S0100^529
Row 530: pivot 530

Step 532, 729 columns
Monomial 531: S0100^531
Best monomial: S0100^530
Row 531: pivot 531

Step 533, 729 columns
Monomial 532: S0100^532
Best monomial: S0100^531
Row 532: pivot 532

Step 534, 729 columns
Monomial 533: S0100^533
Best monomial: S0100^532
Row 533: pivot 533

Step 535, 729 columns
Monomial 534: S0100^534
Best monomial: S0100^533
Row 534: pivot 534

Step 536, 729 columns
Monomial 535: S0100^535
Best monomial: S0100^534
Row 535: pivot 535

Step 537, 729 columns
Monomial 536: S0100^536
Best monomial: S0100^535
Row 536: pivot 536

Step 538, 729 columns
Monomial 537: S0100^537
Best monomial: S0100^536
Row 537: pivot 537

Step 539, 729 columns
Monomial 538: S0100^538
Best monomial: S0100^537
Row 538: pivot 538

Step 540, 729 columns
Monomial 539: S0100^539
Best monomial: S0100^538
Row 539: pivot 539

Step 541, 729 columns
Monomial 540: S0100^540
Best monomial: S0100^539
Row 540: pivot 540

Step 542, 729 columns
Monomial 541: S0100^541
Best monomial: S0100^540
Row 541: pivot 541

Step 543, 729 columns
Monomial 542: S0100^542
Best monomial: S0100^541
Row 542: pivot 542

Step 544, 729 columns
Monomial 543: S0100^543
Best monomial: S0100^542
Row 543: pivot 543

Step 545, 729 columns
Monomial 544: S0100^544
Best monomial: S0100^543
Row 544: pivot 544

Step 546, 729 columns
Monomial 545: S0100^545
Best monomial: S0100^544
Row 545: pivot 545

Step 547, 729 columns
Monomial 546: S0100^546
Best monomial: S0100^545
Row 546: pivot 546

Step 548, 729 columns
Monomial 547: S0100^547
Best monomial: S0100^546
Row 547: pivot 547

Step 549, 729 columns
Monomial 548: S0100^548
Best monomial: S0100^547
Row 548: pivot 548

Step 550, 729 columns
Monomial 549: S0100^549
Best monomial: S0100^548
Row 549: pivot 549

Step 551, 729 columns
Monomial 550: S0100^550
Best monomial: S0100^549
Row 550: pivot 550

Step 552, 729 columns
Monomial 551: S0100^551
Best monomial: S0100^550
Row 551: pivot 551

Step 553, 729 columns
Monomial 552: S0100^552
Best monomial: S0100^551
Row 552: pivot 552

Step 554, 729 columns
Monomial 553: S0100^553
Best monomial: S0100^552
Row 553: pivot 553

Step 555, 729 columns
Monomial 554: S0100^554
Best monomial: S0100^553
Row 554: pivot 554

Step 556, 729 columns
Monomial 555: S0100^555
Best monomial: S0100^554
Row 555: pivot 555

Step 557, 729 columns
Monomial 556: S0100^556
Best monomial: S0100^555
Row 556: pivot 556

Step 558, 729 columns
Monomial 557: S0100^557
Best monomial: S0100^556
Row 557: pivot 557

Step 559, 729 columns
Monomial 558: S0100^558
Best monomial: S0100^557
Row 558: pivot 558

Step 560, 729 columns
Monomial 559: S0100^559
Best monomial: S0100^558
Row 559: pivot 559

Step 561, 729 columns
Monomial 560: S0100^560
Best monomial: S0100^559
Row 560: pivot 560

Step 562, 729 columns
Monomial 561: S0100^561
Best monomial: S0100^560
Row 561: pivot 561

Step 563, 729 columns
Monomial 562: S0100^562
Best monomial: S0100^561
Row 562: pivot 562

Step 564, 729 columns
Monomial 563: S0100^563
Best monomial: S0100^562
Row 563: pivot 563

Step 565, 729 columns
Monomial 564: S0100^564
Best monomial: S0100^563
Row 564: pivot 564

Step 566, 729 columns
Monomial 565: S0100^565
Best monomial: S0100^564
Row 565: pivot 565

Step 567, 729 columns
Monomial 566: S0100^566
Best monomial: S0100^565
Row 566: pivot 566

Step 568, 729 columns
Monomial 567: S0100^567
Best monomial: S0100^566
Row 567: pivot 567

Step 569, 729 columns
Monomial 568: S0100^568
Best monomial: S0100^567
Row 568: pivot 568

Step 570, 729 columns
Monomial 569: S0100^569
Best monomial: S0100^568
Row 569: pivot 569

Step 571, 729 columns
Monomial 570: S0100^570
Best monomial: S0100^569
Row 570: pivot 570

Step 572, 729 columns
Monomial 571: S0100^571
Best monomial: S0100^570
Row 571: pivot 571

Step 573, 729 columns
Monomial 572: S0100^572
Best monomial: S0100^571
Row 572: pivot 572

Step 574, 729 columns
Monomial 573: S0100^573
Best monomial: S0100^572
Row 573: pivot 573

Step 575, 729 columns
Monomial 574: S0100^574
Best monomial: S0100^573
Row 574: pivot 574

Step 576, 729 columns
Monomial 575: S0100^575
Best monomial: S0100^574
Row 575: pivot 575

Step 577, 729 columns
Monomial 576: S0100^576
Best monomial: S0100^575
Row 576: pivot 576

Step 578, 729 columns
Monomial 577: S0100^577
Best monomial: S0100^576
Row 577: pivot 577

Step 579, 729 columns
Monomial 578: S0100^578
Best monomial: S0100^577
Row 578: pivot 578

Step 580, 729 columns
Monomial 579: S0100^579
Best monomial: S0100^578
Row 579: pivot 579

Step 581, 729 columns
Monomial 580: S0100^580
Best monomial: S0100^579
Row 580: pivot 580

Step 582, 729 columns
Monomial 581: S0100^581
Best monomial: S0100^580
Row 581: pivot 581

Step 583, 729 columns
Monomial 582: S0100^582
Best monomial: S0100^581
Row 582: pivot 582

Step 584, 729 columns
Monomial 583: S0100^583
Best monomial: S0100^582
Row 583: pivot 583

Step 585, 729 columns
Monomial 584: S0100^584
Best monomial: S0100^583
Row 584: pivot 584

Step 586, 729 columns
Monomial 585: S0100^585
Best monomial: S0100^584
Row 585: pivot 585

Step 587, 729 columns
Monomial 586: S0100^586
Best monomial: S0100^585
Row 586: pivot 586

Step 588, 729 columns
Monomial 587: S0100^587
Best monomial: S0100^586
Row 587: pivot 587

Step 589, 729 columns
Monomial 588: S0100^588
Best monomial: S0100^587
Row 588: pivot 588

Step 590, 729 columns
Monomial 589: S0100^589
Best monomial: S0100^588
Row 589: pivot 589

Step 591, 729 columns
Monomial 590: S0100^590
Best monomial: S0100^589
Row 590: pivot 590

Step 592, 729 columns
Monomial 591: S0100^591
Best monomial: S0100^590
Row 591: pivot 591

Step 593, 729 columns
Monomial 592: S0100^592
Best monomial: S0100^591
Row 592: pivot 592

Step 594, 729 columns
Monomial 593: S0100^593
Best monomial: S0100^592
Row 593: pivot 593

Step 595, 729 columns
Monomial 594: S0100^594
Best monomial: S0100^593
Row 594: pivot 594

Step 596, 729 columns
Monomial 595: S0100^595
Best monomial: S0100^594
Row 595: pivot 595

Step 597, 729 columns
Monomial 596: S0100^596
Best monomial: S0100^595
Row 596: pivot 596

Step 598, 729 columns
Monomial 597: S0100^597
Best monomial: S0100^596
Row 597: pivot 597

Step 599, 729 columns
Monomial 598: S0100^598
Best monomial: S0100^597
Row 598: pivot 598

Step 600, 729 columns
Monomial 599: S0100^599
Best monomial: S0100^598
Row 599: pivot 599

Step 601, 729 columns
Monomial 600: S0100^600
Best monomial: S0100^599
Row 600: pivot 600

Step 602, 729 columns
Monomial 601: S0100^601
Best monomial: S0100^600
Row 601: pivot 601

Step 603, 729 columns
Monomial 602: S0100^602
Best monomial: S0100^601
Row 602: pivot 602

Step 604, 729 columns
Monomial 603: S0100^603
Best monomial: S0100^602
Row 603: pivot 603

Step 605, 729 columns
Monomial 604: S0100^604
Best monomial: S0100^603
Row 604: pivot 604

Step 606, 729 columns
Monomial 605: S0100^605
Best monomial: S0100^604
Row 605: pivot 605

Step 607, 729 columns
Monomial 606: S0100^606
Best monomial: S0100^605
Row 606: pivot 606

Step 608, 729 columns
Monomial 607: S0100^607
Best monomial: S0100^606
Row 607: pivot 607

Step 609, 729 columns
Monomial 608: S0100^608
Best monomial: S0100^607
Row 608: pivot 608

Step 610, 729 columns
Monomial 609: S0100^609
Best monomial: S0100^608
Row 609: pivot 609

Step 611, 729 columns
Monomial 610: S0100^610
Best monomial: S0100^609
Row 610: pivot 610

Step 612, 729 columns
Monomial 611: S0100^611
Best monomial: S0100^610
Row 611: pivot 611

Step 613, 729 columns
Monomial 612: S0100^612
Best monomial: S0100^611
Row 612: pivot 612

Step 614, 729 columns
Monomial 613: S0100^613
Best monomial: S0100^612
Row 613: pivot 613

Step 615, 729 columns
Monomial 614: S0100^614
Best monomial: S0100^613
Row 614: pivot 614

Step 616, 729 columns
Monomial 615: S0100^615
Best monomial: S0100^614
Row 615: pivot 615

Step 617, 729 columns
Monomial 616: S0100^616
Best monomial: S0100^615
Row 616: pivot 616

Step 618, 729 columns
Monomial 617: S0100^617
Best monomial: S0100^616
Row 617: pivot 617

Step 619, 729 columns
Monomial 618: S0100^618
Best monomial: S0100^617
Row 618: pivot 618

Step 620, 729 columns
Monomial 619: S0100^619
Best monomial: S0100^618
Row 619: pivot 619

Step 621, 729 columns
Monomial 620: S0100^620
Best monomial: S0100^619
Row 620: pivot 620

Step 622, 729 columns
Monomial 621: S0100^621
Best monomial: S0100^620
Row 621: pivot 621

Step 623, 729 columns
Monomial 622: S0100^622
Best monomial: S0100^621
Row 622: pivot 622

Step 624, 729 columns
Monomial 623: S0100^623
Best monomial: S0100^622
Row 623: pivot 623

Step 625, 729 columns
Monomial 624: S0100^624
Best monomial: S0100^623
Row 624: pivot 624

Step 626, 729 columns
Monomial 625: S0100^625
Best monomial: S0100^624
Row 625: pivot 625

Step 627, 729 columns
Monomial 626: S0100^626
Best monomial: S0100^625
Row 626: pivot 626

Step 628, 729 columns
Monomial 627: S0100^627
Best monomial: S0100^626
Row 627: pivot 627

Step 629, 729 columns
Monomial 628: S0100^628
Best monomial: S0100^627
Row 628: pivot 628

Step 630, 729 columns
Monomial 629: S0100^629
Best monomial: S0100^628
Row 629: pivot 629

Step 631, 729 columns
Monomial 630: S0100^630
Best monomial: S0100^629
Row 630: pivot 630

Step 632, 729 columns
Monomial 631: S0100^631
Best monomial: S0100^630
Row 631: pivot 631

Step 633, 729 columns
Monomial 632: S0100^632
Best monomial: S0100^631
Row 632: pivot 632

Step 634, 729 columns
Monomial 633: S0100^633
Best monomial: S0100^632
Row 633: pivot 633

Step 635, 729 columns
Monomial 634: S0100^634
Best monomial: S0100^633
Row 634: pivot 634

Step 636, 729 columns
Monomial 635: S0100^635
Best monomial: S0100^634
Row 635: pivot 635

Step 637, 729 columns
Monomial 636: S0100^636
Best monomial: S0100^635
Row 636: pivot 636

Step 638, 729 columns
Monomial 637: S0100^637
Best monomial: S0100^636
Row 637: pivot 637

Step 639, 729 columns
Monomial 638: S0100^638
Best monomial: S0100^637
Row 638: pivot 638

Step 640, 729 columns
Monomial 639: S0100^639
Best monomial: S0100^638
Row 639: pivot 639

Step 641, 729 columns
Monomial 640: S0100^640
Best monomial: S0100^639
Row 640: pivot 640

Step 642, 729 columns
Monomial 641: S0100^641
Best monomial: S0100^640
Row 641: pivot 641

Step 643, 729 columns
Monomial 642: S0100^642
Best monomial: S0100^641
Row 642: pivot 642

Step 644, 729 columns
Monomial 643: S0100^643
Best monomial: S0100^642
Row 643: pivot 643

Step 645, 729 columns
Monomial 644: S0100^644
Best monomial: S0100^643
Row 644: pivot 644

Step 646, 729 columns
Monomial 645: S0100^645
Best monomial: S0100^644
Row 645: pivot 645

Step 647, 729 columns
Monomial 646: S0100^646
Best monomial: S0100^645
Row 646: pivot 646

Step 648, 729 columns
Monomial 647: S0100^647
Best monomial: S0100^646
Row 647: pivot 647

Step 649, 729 columns
Monomial 648: S0100^648
Best monomial: S0100^647
Row 648: pivot 648

Step 650, 729 columns
Monomial 649: S0100^649
Best monomial: S0100^648
Row 649: pivot 649

Step 651, 729 columns
Monomial 650: S0100^650
Best monomial: S0100^649
Row 650: pivot 650

Step 652, 729 columns
Monomial 651: S0100^651
Best monomial: S0100^650
Row 651: pivot 651

Step 653, 729 columns
Monomial 652: S0100^652
Best monomial: S0100^651
Row 652: pivot 652

Step 654, 729 columns
Monomial 653: S0100^653
Best monomial: S0100^652
Row 653: pivot 653

Step 655, 729 columns
Monomial 654: S0100^654
Best monomial: S0100^653
Row 654: pivot 654

Step 656, 729 columns
Monomial 655: S0100^655
Best monomial: S0100^654
Row 655: pivot 655

Step 657, 729 columns
Monomial 656: S0100^656
Best monomial: S0100^655
Row 656: pivot 656

Step 658, 729 columns
Monomial 657: S0100^657
Best monomial: S0100^656
Row 657: pivot 657

Step 659, 729 columns
Monomial 658: S0100^658
Best monomial: S0100^657
Row 658: pivot 658

Step 660, 729 columns
Monomial 659: S0100^659
Best monomial: S0100^658
Row 659: pivot 659

Step 661, 729 columns
Monomial 660: S0100^660
Best monomial: S0100^659
Row 660: pivot 660

Step 662, 729 columns
Monomial 661: S0100^661
Best monomial: S0100^660
Row 661: pivot 661

Step 663, 729 columns
Monomial 662: S0100^662
Best monomial: S0100^661
Row 662: pivot 662

Step 664, 729 columns
Monomial 663: S0100^663
Best monomial: S0100^662
Row 663: pivot 663

Step 665, 729 columns
Monomial 664: S0100^664
Best monomial: S0100^663
Row 664: pivot 664

Step 666, 729 columns
Monomial 665: S0100^665
Best monomial: S0100^664
Row 665: pivot 665

Step 667, 729 columns
Monomial 666: S0100^666
Best monomial: S0100^665
Row 666: pivot 666

Step 668, 729 columns
Monomial 667: S0100^667
Best monomial: S0100^666
Row 667: pivot 667

Step 669, 729 columns
Monomial 668: S0100^668
Best monomial: S0100^667
Row 668: pivot 668

Step 670, 729 columns
Monomial 669: S0100^669
Best monomial: S0100^668
Row 669: pivot 669

Step 671, 729 columns
Monomial 670: S0100^670
Best monomial: S0100^669
Row 670: pivot 670

Step 672, 729 columns
Monomial 671: S0100^671
Best monomial: S0100^670
Row 671: pivot 671

Step 673, 729 columns
Monomial 672: S0100^672
Best monomial: S0100^671
Row 672: pivot 672

Step 674, 729 columns
Monomial 673: S0100^673
Best monomial: S0100^672
Row 673: pivot 673

Step 675, 729 columns
Monomial 674: S0100^674
Best monomial: S0100^673
Row 674: pivot 674

Step 676, 729 columns
Monomial 675: S0100^675
Best monomial: S0100^674
Row 675: pivot 675

Step 677, 729 columns
Monomial 676: S0100^676
Best monomial: S0100^675
Row 676: pivot 676

Step 678, 729 columns
Monomial 677: S0100^677
Best monomial: S0100^676
Row 677: pivot 677

Step 679, 729 columns
Monomial 678: S0100^678
Best monomial: S0100^677
Row 678: pivot 678

Step 680, 729 columns
Monomial 679: S0100^679
Best monomial: S0100^678
Row 679: pivot 679

Step 681, 729 columns
Monomial 680: S0100^680
Best monomial: S0100^679
Row 680: pivot 680

Step 682, 729 columns
Monomial 681: S0100^681
Best monomial: S0100^680
Row 681: pivot 681

Step 683, 729 columns
Monomial 682: S0100^682
Best monomial: S0100^681
Row 682: pivot 682

Step 684, 729 columns
Monomial 683: S0100^683
Best monomial: S0100^682
Row 683: pivot 683

Step 685, 729 columns
Monomial 684: S0100^684
Best monomial: S0100^683
Row 684: pivot 684

Step 686, 729 columns
Monomial 685: S0100^685
Best monomial: S0100^684
Row 685: pivot 685

Step 687, 729 columns
Monomial 686: S0100^686
Best monomial: S0100^685
Row 686: pivot 686

Step 688, 729 columns
Monomial 687: S0100^687
Best monomial: S0100^686
Row 687: pivot 687

Step 689, 729 columns
Monomial 688: S0100^688
Best monomial: S0100^687
Row 688: pivot 688

Step 690, 729 columns
Monomial 689: S0100^689
Best monomial: S0100^688
Row 689: pivot 689

Step 691, 729 columns
Monomial 690: S0100^690
Best monomial: S0100^689
Row 690: pivot 690

Step 692, 729 columns
Monomial 691: S0100^691
Best monomial: S0100^690
Row 691: pivot 691

Step 693, 729 columns
Monomial 692: S0100^692
Best monomial: S0100^691
Row 692: pivot 692

Step 694, 729 columns
Monomial 693: S0100^693
Best monomial: S0100^692
Row 693: pivot 693

Step 695, 729 columns
Monomial 694: S0100^694
Best monomial: S0100^693
Row 694: pivot 694

Step 696, 729 columns
Monomial 695: S0100^695
Best monomial: S0100^694
Row 695: pivot 695

Step 697, 729 columns
Monomial 696: S0100^696
Best monomial: S0100^695
Row 696: pivot 696

Step 698, 729 columns
Monomial 697: S0100^697
Best monomial: S0100^696
Row 697: pivot 697

Step 699, 729 columns
Monomial 698: S0100^698
Best monomial: S0100^697
Row 698: pivot 698

Step 700, 729 columns
Monomial 699: S0100^699
Best monomial: S0100^698
Row 699: pivot 699

Step 701, 729 columns
Monomial 700: S0100^700
Best monomial: S0100^699
Row 700: pivot 700

Step 702, 729 columns
Monomial 701: S0100^701
Best monomial: S0100^700
Row 701: pivot 701

Step 703, 729 columns
Monomial 702: S0100^702
Best monomial: S0100^701
Row 702: pivot 702

Step 704, 729 columns
Monomial 703: S0100^703
Best monomial: S0100^702
Row 703: pivot 703

Step 705, 729 columns
Monomial 704: S0100^704
Best monomial: S0100^703
Row 704: pivot 704

Step 706, 729 columns
Monomial 705: S0100^705
Best monomial: S0100^704
Row 705: pivot 705

Step 707, 729 columns
Monomial 706: S0100^706
Best monomial: S0100^705
Row 706: pivot 706

Step 708, 729 columns
Monomial 707: S0100^707
Best monomial: S0100^706
Row 707: pivot 707

Step 709, 729 columns
Monomial 708: S0100^708
Best monomial: S0100^707
Row 708: pivot 708

Step 710, 729 columns
Monomial 709: S0100^709
Best monomial: S0100^708
Row 709: pivot 709

Step 711, 729 columns
Monomial 710: S0100^710
Best monomial: S0100^709
Row 710: pivot 710

Step 712, 729 columns
Monomial 711: S0100^711
Best monomial: S0100^710
Row 711: pivot 711

Step 713, 729 columns
Monomial 712: S0100^712
Best monomial: S0100^711
Row 712: pivot 712

Step 714, 729 columns
Monomial 713: S0100^713
Best monomial: S0100^712
Row 713: pivot 713

Step 715, 729 columns
Monomial 714: S0100^714
Best monomial: S0100^713
Row 714: pivot 714

Step 716, 729 columns
Monomial 715: S0100^715
Best monomial: S0100^714
Row 715: pivot 715

Step 717, 729 columns
Monomial 716: S0100^716
Best monomial: S0100^715
Row 716: pivot 716

Step 718, 729 columns
Monomial 717: S0100^717
Best monomial: S0100^716
Row 717: pivot 717

Step 719, 729 columns
Monomial 718: S0100^718
Best monomial: S0100^717
Row 718: pivot 718

Step 720, 729 columns
Monomial 719: S0100^719
Best monomial: S0100^718
Row 719: pivot 719

Step 721, 729 columns
Monomial 720: S0100^720
Best monomial: S0100^719
Row 720: pivot 720

Step 722, 729 columns
Monomial 721: S0100^721
Best monomial: S0100^720
Row 721: pivot 721

Step 723, 729 columns
Monomial 722: S0100^722
Best monomial: S0100^721
Row 722: pivot 722

Step 724, 729 columns
Monomial 723: S0100^723
Best monomial: S0100^722
Row 723: pivot 723

Step 725, 729 columns
Monomial 724: S0100^724
Best monomial: S0100^723
Row 724: pivot 724

Step 726, 729 columns
Monomial 725: S0100^725
Best monomial: S0100^724
Row 725: pivot 725

Step 727, 729 columns
Monomial 726: S0100^726
Best monomial: S0100^725
Row 726: pivot 726

Step 728, 729 columns
Monomial 727: S0100^727
Best monomial: S0100^726
Row 727: pivot 727

Step 729, 729 columns
Monomial 728: S0100^728
Best monomial: S0100^727
Row 728: pivot 728

Step 730, 729 columns
Monomial 729: S0100^729
Best monomial: S0100^728
Row 729: pivot -1
New polynomial 0, leading monomial: S0100^729, 86.169
Polynomial: S0100^729 + 10944121435919637611123202872628637544274182200208017171849102093287904247768*S0100^728 + 20520227692349320520856005386178695395514091625390032197217066424914820465456*S0100^727 + 10944121435919637611123202872628637544274182200208017171849102093287904236941*S0100^726 + 4788053128214841454866401256775028925619954712591007512683982165813458216412*S0100^725 + 9234102461557194234385202423780412927981341231425514488747679891211668356023*S0100^724 + 5942315935909490734164551559747580541617622366519196823777442152214922336533*S0100^723 + 3716371509801011592999613430562841217083715342159054677960021051824741639301*S0100^722 + 18042722584570841733247514367464033530805975666245458217793630068094121696730*S0100^721 + 3353774875603910955851488527968046273870407038869082078880814497926434409063*S0100^720 + 7149676478238009293941169863080664817673849340452131938002254909832515965619*S0100^719 + 14293742387721114899695549481977599727876174667812912636232545466069811489385*S0100^718 + 7640891442611103140404229673631769897083280871398075723981318710577347916211*S0100^717 + 20634825994397801511394128388974325195994561486647118392888141261262197228207*S0100^716 + 17284473035158374414523910822528387791230490304793483386730393606999309355015*S0100^715 + 18642609203813343117498136289407105106524944124178208414276028130668261482662*S0100^714 + 566282233976528065969031554704799958315162076693895474028198551938071702598*S0100^713 + 3964868977366148458252735690003894401798056369700507007256138245865578447316*S0100^712 + 730888146745601086015447418032467283510951513383761914885431202746543006853*S0100^711 + 3248248839864202146972862823134541955075369158366437668542801429329505411079*S0100^710 + 17657544106961722571173558115485552915790448893882999112421319621629365261601*S0100^709 + 14698354860566676692122586846857517841966839243796700188880708577672119438765*S0100^708 + 10805349582726054904915591420372905241341625748266735474881903033554271739621*S0100^707 + 8802292619710927228323834023787937458695893720977648144125252754913368242895*S0100^706 + 14488301631445051896420887637977047102450893839099695108888697301173021212432*S0100^705 + 20023066895226912902889826045882866595377135005923005332564999656052527313661*S0100^704 + 4425690436683579398255392611786834878934970472113779973985337813741446401601*S0100^703 + 6852356131512729072534070132046633708969280978589901065256337765461890011456*S0100^702 + 6084089998248659552035306995369964312198436984730529826902996933826272023996*S0100^701 + 10480022303806396706175987592152956444956396082273554013513290566744150158930*S0100^700 + 4596447642676310207130561080153932365209251110005443102339517129236607364434*S0100^699 + 9930686384792030783074778742946641537713015012243639361697938958457400570815*S0100^698 + 19311140468095739269426492996322723875289459062545314773880788000913005530024*S0100^697 + 1361664630945771461096182267496020318068449526490158456556375242092616039701*S0100^696 + 18798721016752542041693844469930862358307122329649662054196538602882898487624*S0100^695 + 1390394333178864917890093786597356886275304317795459173129688456916831975588*S0100^694 + 10750883772482629859777168875348228525918758908309901782207270236086476351925*S0100^693 + 11873831366103016583410172375665376914897181600094170905850322948926754618303*S0100^692 + 14864490536299582152266923264770703408400927441601103401538441824508951159091*S0100^691 + 14417513445976402284288146189263818963798715923136479993449670122737834145583*S0100^690 + 16142948999227097826711513798897014246022864809817844323514531107127446745028*S0100^689 + 11571036728953823198496191218113781199646342777249263132064476197185506208466*S0100^688 + 4027412399311637273389735271318147908223416811985310115902897289809460677371*S0100^687 + 15279509158205164789653491976677954625538842753670484050858312557071781774577*S0100^686 + 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Step 731, 729 columns
Monomial 729: S0200
Best monomial: 1
Row 729: pivot -1
New polynomial 1, leading monomial: S0200, 86.280
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Step 732, 729 columns
Monomial 729: S0300
Best monomial: 1
Row 729: pivot -1
New polynomial 2, leading monomial: S0300, 86.389
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Step 733, 729 columns
Monomial 729: Y0000
Best monomial: 1
Row 729: pivot -1
New polynomial 3, leading monomial: Y0000, 86.500
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2025634846522231876551354114651063735144764102668768524566749657024501221850*S0100^69 + 2550527290093236281482278553380908949823025436947507813114226130002054992096*S0100^68 + 11067282950074354388475052919584385602378490407753402834606410888636657571470*S0100^67 + 12904167735904272454889541204754549262632974694415346160959594517708452011076*S0100^66 + 19068538326367737885605570354414671567802490936019241411020501152889121835088*S0100^65 + 7121796687581869880422651275275265759725326039606363835008367640033178176916*S0100^64 + 9390274271959471348063593129136581994827373438369506378426148639168183325252*S0100^63 + 16793456342489652622536684450359524587235786236323855883514510502602688912235*S0100^62 + 12625477983129018403510821355212000917101832800338142965796747296877145321518*S0100^61 + 4229695298289501070620191347319091885997678223036719022964451648480627452382*S0100^60 + 8173063026486458672123183249485405008632693374545569156010041163672916501758*S0100^59 + 10620899870196414655547239265288476092106418532979245702245897324723325562038*S0100^58 + 10761390679497579205371615437829543406161539797289933483296672258035776516575*S0100^57 + 4501183282887354183504441501892559048159054036578655277637664832753100949164*S0100^56 + 16333470830656654271661928043362404530850816540936815028413246005836427533441*S0100^55 + 20782994339809973634512338117470504824643919330352265559071416191707147290712*S0100^54 + 84336031809385043567807235642545768608521829518294415377543327424947527558*S0100^53 + 19230078760073210545659968734918472896245815379505544915880235428282275428987*S0100^52 + 1169331030267906216727113748232201032815567973863829784236742629502041625996*S0100^51 + 680330603263950716966430019037562173148951985439793970553720865963613274335*S0100^50 + 6491112186733633883301199115982965474943390496282829674093315982849203317499*S0100^49 + 11535920489433280607658463856758487499919232318609972568185238874683554297950*S0100^48 + 4071936530219474635132991253653662462487173846066857756640806209039157609028*S0100^47 + 5273495597808550872182017257216000728260323620847184239297560247089626246279*S0100^46 + 5338966164904581903901784617562603953489908036758402237123317552948824114200*S0100^45 + 9908934167448414890785110575391750266485642371568911065678360212826925034724*S0100^44 + 21631771826417145512668773848240302499621877095671894698803122221762340471092*S0100^43 + 2797687904340366256257557999536305673561035249562065905031080309646778406480*S0100^42 + 14609029138883577239623242332910642427174246475436236488627721043152311721515*S0100^41 + 18853136285857469812824927751389954627181058418379517978705646963958387209464*S0100^40 + 8636119870963304786304323474041311757500343487405632007754933899663237507181*S0100^39 + 13451989253255210109563434160290394676422852483819383338411420287529146940490*S0100^38 + 4535307525385212007138624640733412535913162475610742076249082248957778521871*S0100^37 + 19728102110201417093400059193483022217756407626187593879774542184589657292705*S0100^36 + 3302139658350092360214622552411936671172848733011729504063779757743406038296*S0100^35 + 4493974228755296331399870315846506849284287192489506505691173109394749183576*S0100^34 + 18415926400137896285541292909945333700811007195854720623701836922296255634770*S0100^33 + 14270638157063207804372991150896976475202052222111710888420821962388460746132*S0100^32 + 11251261736092637262792367804824868066474943661378136158790319528822237570947*S0100^31 + 13253066000113943374830579262384112621392745226830990265880429150624339296765*S0100^30 + 17257553610533745176364138177351956336568166689823097760175569658924033372573*S0100^29 + 17887464656360846660003403362898943655479651036371732410225062809343947764956*S0100^28 + 11179198167983617006664937234125291059670614830406694480243968449974508721261*S0100^27 + 11359054302475295781071723037019021717310920497722545996507015966750157077200*S0100^26 + 19845479573894528460510131097387159926677135115510749404320983287556921010100*S0100^25 + 4632133433975472589081338445441691712389732705525568751853271454271226985464*S0100^24 + 19599247905599551463682043354457602781860169540198310063064731800888110704627*S0100^23 + 6701084953801852432297489774952343352625864822088229017029008400731848762476*S0100^22 + 6205219132836972290144660367825485746881765011146360641969061410806830205848*S0100^21 + 17626064148662074188711399372200544556280041969935561657873857598020856718903*S0100^20 + 464629522559984731901421234706919492546348494593777940350240231027491627193*S0100^19 + 2867355504423212000821906496973335598297002782015751764954149801301508143727*S0100^18 + 18853342555182618908486155643291559485696918377653757438358231659094751586348*S0100^17 + 419272126386376730318959088702411237569035806016067679169066038936128047520*S0100^16 + 11315010927617002879610534394165927495166697888462360322197560678032379229750*S0100^15 + 16637555533489019613410071286261862638485323937935015388789068452501943165744*S0100^14 + 9137201368373897716891266281141924895986571504469879787975812832800992199296*S0100^13 + 18481314257928825898127485256751284168607330087937354400238860340071214345229*S0100^12 + 1305462805856051925641248038255892889573696033901991612818741456158085531862*S0100^11 + 4453565179768785784638538522415631433199019899451167303256459753254940946701*S0100^10 + 2458576097527846785260696405282238052528506786686179698630393141109628603133*S0100^9 + 11356334025118723467348689307040807245986306842225768108967466878640541558192*S0100^8 + 1395140714606922947160812140322328373446964684389993584374263760977500829084*S0100^7 + 2149964485135820247738643121574430718499082810960452180788343065400548908202*S0100^6 + 6391193471705905815039181876802436777269622123887134340226712519990709018749*S0100^5 + 14529121839381935599180378594068802220700213548377237238799238406989452403957*S0100^4 + 19235355562232505761862846289720376936678570291952232124545288567252501183168*S0100^3 + 570561858650131714347829449907953541027521791774641011293234403158769008535*S0100^2 + 552323139607914042348108625784294809846975289938062785350308364668064592432*S0100 + 7308775758595787570569594024564407384573356228892053076871279690963713967649
Total FGLM time: 86.639
Time: 86.650
unideg = 729
----------------------------------------------------------------------------------------------------
Starting UNIV SOLVING computation... (r=3)
Time: 4.750
nsols = 0
----------------------------------------------------------------------------------------------------
Starting MULTIPLICITY computation... (r=3)
nsols_mult = 0
====================================================================================================
n_r: 4, n_v: 5, n_e: 5, mdeg: 8
degs = [7, 7, 7, 8, 5]
Multivariate Polynomial Ring in Y0000, S0400, S0300, S0200, S0100 over Finite Field of size 21888242871839275222246405745257275088548364400416034343698204186575808495617
----------------------------------------------------------------------------------------------------
Starting GB computation... (r=4)
********************
FAUGERE F4 ALGORITHM
********************
Coefficient ring: GF(21888242871839275222246405745257275088548364400416034343698204186575808495617)
Rank: 5
Order: Graded Reverse Lexicographical
NEW hash table
Matrix kind: Generic finite field
Generic field
Datum size: 4
No queue sort
Initial length: 5
Inhomogeneous

Initial queue setup time: 0.000
Initial queue length: 7

*******
STEP 1
Basis length: 5, queue length: 7, step degree: 9, num pairs: 1
Basis total mons: 246, average length: 49.200
Number of pair polynomials: 1, at 163 column(s), 0.000
Average length for reductees: 47.00 [1], reductors: 54.36 [25]
Symbolic reduction time: 0.000, column sort time: 0.000
1 + 25 = 26 rows / 302 columns out of 2002 (15.085%)
Density: 17.906% / 21.104% (54.077/r), total: 1406 (0.0MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 1 (100.0%), min deg: 8 [1], av deg: 8.0
Degree counts: 8:1
Queue insertion time: 0.000
New max step: 1, time: 0.000
Step 1 time: 0.000, [0.002], mat/total: 0.000/0.000, mem: 132.4MB, max: 179.9MB

*******
STEP 2
Basis length: 6, queue length: 7, step degree: 11, num pairs: 3
Basis total mons: 358, average length: 59.667
Number of pair polynomials: 3, at 198 column(s), 0.000
Average length for reductees: 47.00 [3], reductors: 26.32 [94]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 94 = 97 rows / 597 columns out of 4368 (13.668%)
Density: 4.5157% / 6.4275% (26.959/r), total: 2615 (0.0MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.002[r] + 0.000 = 0.002[r] [3]
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 3 (100.0%), min deg: 9 [1], av deg: 9.7
Degree counts: 9:1 10:2
Queue insertion time: 0.000
New max step: 2, time: 0.003[r]
Step 2 time: 0.003[r], [0.003], mat/total: 0.010/0.006[r], mem: 132.4MB, max: 179.9MB

*******
STEP 3
Basis length: 9, queue length: 17, step degree: 10, num pairs: 2
Basis total mons: 1066, average length: 118.444
Number of pair polynomials: 2, at 390 column(s), 0.000
Average length for reductees: 217.00 [2], reductors: 35.67 [42]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 42 = 44 rows / 462 columns out of 3003 (15.385%)
Density: 9.5041% / 12.217% (43.909/r), total: 1932 (0.0MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
Number of unused reductors: 1
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 1 (50.0%), min deg: 10 [1], av deg: 10.0
Degree counts: 10:1
Queue insertion time: 0.000
Step 3 time: 0.000, [0.002], mat/total: 0.010/0.009[r], mem: 132.4MB, max: 179.9MB

*******
STEP 4
Basis length: 10, queue length: 19, step degree: 11, num pairs: 5
Basis total mons: 1372, average length: 137.200
Number of pair polynomials: 5, at 803 column(s), 0.000
Average length for reductees: 252.60 [5], reductors: 43.20 [136]
Symbolic reduction time: 0.000, column sort time: 0.000
5 + 136 = 141 rows / 891 columns out of 4368 (20.398%)
Density: 5.6817% / 7.6235% (50.624/r), total: 7138 (0.0MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
Number of unused reductors: 4
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 2 (40.0%), min deg: 10 [1], av deg: 10.5
Degree counts: 10:1 11:1
Queue insertion time: 0.000
Step 4 time: 0.000, [0.006], mat/total: 0.010/0.010, mem: 132.4MB, max: 179.9MB

*******
STEP 5
Basis length: 12, queue length: 23, step degree: 11, num pairs: 2
Basis total mons: 2037, average length: 169.750
Number of pair polynomials: 2, at 435 column(s), 0.000
Average length for reductees: 267.00 [2], reductors: 33.93 [58]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 58 = 60 rows / 498 columns out of 4368 (11.401%)
Density: 8.3735% / 10.86% (41.7/r), total: 2502 (0.0MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.000 + 0.000 = 0.000 [1]
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 1 (50.0%), min deg: 11 [1], av deg: 11.0
Degree counts: 11:1
Queue insertion time: 0.000
Step 5 time: 0.000, [0.003], mat/total: 0.010/0.010, mem: 132.4MB, max: 179.9MB

*******
STEP 6
Basis length: 13, queue length: 27, step degree: 12, num pairs: 5
Basis total mons: 2408, average length: 185.231
Number of pair polynomials: 5, at 1084 column(s), 0.000
Average length for reductees: 330.00 [5], reductors: 64.59 [207]
Symbolic reduction time: 0.000, column sort time: 0.000[r]
5 + 207 = 212 rows / 1340 columns out of 6188 (21.655%)
Density: 5.2872% / 7.0114% (70.849/r), total: 15020 (0.1MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.000 + 0.000 = 0.000 [2]
Number of unused reductors: 8
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 2 (40.0%), min deg: 11 [2], av deg: 11.0
Degree counts: 11:2
Queue insertion time: 0.000
New max step: 6, time: 0.008[r]
Step 6 time: 0.007[r], [0.009], mat/total: 0.010/0.020, mem: 132.4MB, max: 179.9MB

*******
STEP 7
Basis length: 15, queue length: 31, step degree: 12, num pairs: 3
Basis total mons: 3655, average length: 243.667
Number of pair polynomials: 3, at 1202 column(s), 0.000
Average length for reductees: 604.00 [3], reductors: 60.37 [252]
Symbolic reduction time: 0.000, column sort time: 0.000
3 + 252 = 255 rows / 1366 columns out of 6188 (22.075%)
Density: 4.8879% / 6.5795% (66.769/r), total: 17026 (0.1MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.005[r] + 0.000 = 0.005[r] [1]
Number of unused reductors: 11
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 1 (33.3%), min deg: 12 [1], av deg: 12.0
Degree counts: 12:1
Queue insertion time: 0.000
Step 7 time: 0.007[r], [0.008], mat/total: 0.020/0.030, mem: 132.4MB, max: 179.9MB

*******
STEP 8
Basis length: 16, queue length: 33, step degree: 13, num pairs: 9
Basis total mons: 4413, average length: 275.812
Number of pair polynomials: 9, at 2089 column(s), 0.000
Average length for reductees: 474.33 [9], reductors: 65.85 [663]
Symbolic reduction time: 0.000, column sort time: 0.000
9 + 663 = 672 rows / 2663 columns out of 8568 (31.081%)
Density: 2.6783% / 3.8411% (71.323/r), total: 47929 (0.2MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.026[r] + 0.000 = 0.026[r] [8]
Number of unused reductors: 7
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 8 (88.9%), min deg: 12 [5], av deg: 12.4
Degree counts: 12:5 13:3
Queue insertion time: 0.000
New max step: 8, time: 0.030
Step 8 time: 0.030, [0.032], mat/total: 0.050/0.060, mem: 132.4MB, max: 179.9MB

*******
STEP 9
Basis length: 24, queue length: 67, step degree: 13, num pairs: 10
Basis total mons: 11853, average length: 493.875
Number of pair polynomials: 10, at 2818 column(s), 0.000
Average length for reductees: 781.40 [10], reductors: 80.08 [704]
Symbolic reduction time: 0.000, column sort time: 0.000
10 + 704 = 714 rows / 3144 columns out of 8568 (36.695%)
Density: 2.8593% / 3.9465% (89.898/r), total: 64187 (0.2MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.031[r] + 0.000 = 0.031[r] [5]
Number of unused reductors: 35
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 5 (50.0%), min deg: 12 [1], av deg: 12.8
Degree counts: 12:1 13:4
Queue insertion time: 0.000
New max step: 9, time: 0.038[r]
Step 9 time: 0.038[r], [0.038], mat/total: 0.090/0.100, mem: 132.4MB, max: 179.9MB

*******
STEP 10
Basis length: 29, queue length: 85, step degree: 13, num pairs: 2
Basis total mons: 17825, average length: 614.655
Number of pair polynomials: 2, at 2163 column(s), 0.000
Average length for reductees: 1353.00 [2], reductors: 85.21 [479]
Symbolic reduction time: 0.000, column sort time: 0.000
2 + 479 = 481 rows / 2635 columns out of 8568 (30.754%)
Density: 3.4339% / 4.6847% (90.482/r), total: 43522 (0.2MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.009 + 0.000 = 0.009 [2]
Number of unused reductors: 21
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 2 (100.0%), min deg: 12 [1], av deg: 12.5
Degree counts: 12:1 13:1
Queue insertion time: 0.000
Step 10 time: 0.009, [0.016], mat/total: 0.100/0.109, mem: 132.4MB, max: 179.9MB

*******
STEP 11
Basis length: 31, queue length: 93, step degree: 13, num pairs: 3
Basis total mons: 20795, average length: 670.806
Number of pair polynomials: 3, at 2727 column(s), 0.000
Average length for reductees: 1324.00 [3], reductors: 92.57 [682]
Symbolic reduction time: 0.000, column sort time: 0.002[r]
3 + 682 = 685 rows / 3066 columns out of 8568 (35.784%)
Density: 3.1952% / 4.3891% (97.965/r), total: 67106 (0.3MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.019 + 0.000 = 0.019 [2]
Number of unused reductors: 58
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 2 (66.7%), min deg: 13 [2], av deg: 13.0
Degree counts: 13:2
Queue insertion time: 0.000
Step 11 time: 0.026[r], [0.028], mat/total: 0.120/0.140, mem: 132.4MB, max: 179.9MB

*******
STEP 12
Basis length: 33, queue length: 100, step degree: 14, num pairs: 36
Basis total mons: 23930, average length: 725.152
2 pairs eliminated
Number of pair polynomials: 34, at 4794 column(s), 0.000
Average length for reductees: 1269.06 [34], reductors: 104.97 [1808]
Symbolic reduction time: 0.006[r], column sort time: 0.000
34 + 1808 = 1842 rows / 5455 columns out of 11628 (46.913%)
Density: 2.3182% / 3.1808% (126.46/r), total: 232939 (0.9MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.327[r] + 0.000 = 0.329 [17]
Number of unused reductors: 18
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 17 (50.0%), min deg: 13 [10], av deg: 13.4
Degree counts: 13:10 14:7
Queue insertion time: 0.000
New max step: 12, time: 0.340
Step 12 time: 0.340, [0.342], mat/total: 0.450/0.480, mem: 132.4MB, max: 179.9MB

*******
STEP 13
Basis length: 50, queue length: 154, step degree: 14, num pairs: 32
Basis total mons: 57776, average length: 1155.520
Number of pair polynomials: 32, at 5513 column(s), 0.000
Average length for reductees: 1749.31 [32], reductors: 121.77 [2156]
Symbolic reduction time: 0.008[r], column sort time: 0.000
32 + 2156 = 2188 rows / 6159 columns out of 11628 (52.967%)
Density: 2.3636% / 3.1769% (145.58/r), total: 318519 (1.2MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.487[r] + 0.000 = 0.487[r] [15]
Number of unused reductors: 22
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 15 (46.9%), min deg: 13 [2], av deg: 13.9
Degree counts: 13:2 14:13
Queue insertion time: 0.000
New max step: 13, time: 0.500
Step 13 time: 0.500, [0.504], mat/total: 0.940/0.980, mem: 132.4MB, max: 179.9MB

*******
STEP 14
Basis length: 65, queue length: 199, step degree: 14, num pairs: 8
Basis total mons: 93172, average length: 1433.415
Number of pair polynomials: 8, at 3319 column(s), 0.000
Average length for reductees: 1177.00 [8], reductors: 123.03 [1358]
Symbolic reduction time: 0.005[r], column sort time: 0.000
8 + 1358 = 1366 rows / 4727 columns out of 11628 (40.652%)
Density: 2.7332% / 3.6703% (129.2/r), total: 176488 (0.7MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.079 + 0.000 = 0.079 [2]
Number of unused reductors: 18
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 2 (25.0%), min deg: 14 [2], av deg: 14.0
Degree counts: 14:2
Queue insertion time: 0.000
Step 14 time: 0.090, [0.094], mat/total: 1.020/1.070, mem: 132.4MB, max: 179.9MB

*******
STEP 15
Basis length: 67, queue length: 201, step degree: 15, num pairs: 96
Basis total mons: 96535, average length: 1440.821
10 pairs eliminated
Number of pair polynomials: 86, at 8357 column(s), 0.006[r]
Average length for reductees: 2207.30 [86], reductors: 152.58 [4002]
Symbolic reduction time: 0.017[r], column sort time: 0.000
86 + 4002 = 4088 rows / 9127 columns out of 15504 (58.869%)
Density: 2.1453% / 2.8556% (195.8/r), total: 800445 (3.1MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
2.982[r] + 0.019 = 3.008[r] [38]
Number of unused reductors: 43
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 38 (44.2%), min deg: 13 [1], av deg: 14.4
Degree counts: 13:1 14:20 15:17
Queue insertion time: 0.000
New max step: 15, time: 3.040
Step 15 time: 3.039, [3.042], mat/total: 4.030/4.109, mem: 132.4MB, max: 179.9MB

*******
STEP 16
Basis length: 105, queue length: 271, step degree: 14, num pairs: 2
Basis total mons: 211253, average length: 2011.933
Number of pair polynomials: 2, at 3672 column(s), 0.000
Average length for reductees: 2079.00 [2], reductors: 97.80 [742]
Symbolic reduction time: 0.003[r], column sort time: 0.000
2 + 742 = 744 rows / 4020 columns out of 11628 (34.572%)
Density: 2.5653% / 3.7221% (103.12/r), total: 76724 (0.3MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
0.019[r] + 0.000 = 0.019 [1]
Number of unused reductors: 64
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 1 (50.0%), min deg: 14 [1], av deg: 14.0
Degree counts: 14:1
Queue insertion time: 0.000
Step 16 time: 0.026[r], [0.027], mat/total: 4.050/4.140, mem: 132.4MB, max: 179.9MB

*******
STEP 17
Basis length: 106, queue length: 273, step degree: 15, num pairs: 79
Basis total mons: 214471, average length: 2023.311
Number of pair polynomials: 79, at 8399 column(s), 0.009[r]
Average length for reductees: 2729.03 [79], reductors: 182.52 [4091]
Symbolic reduction time: 0.019, column sort time: 0.000
79 + 4091 = 4170 rows / 9304 columns out of 15504 (60.010%)
Density: 2.4803% / 3.2182% (230.76/r), total: 962282 (3.7MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.001[r]
3.989 + 0.043[r] = 4.039 [39]
Number of unused reductors: 26
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 39 (49.4%), min deg: 14 [20], av deg: 14.5
Degree counts: 14:20 15:19
Queue insertion time: 0.000
New max step: 17, time: 4.080
Step 17 time: 4.079, [4.081], mat/total: 8.100/8.219, mem: 132.4MB, max: 179.9MB

*******
STEP 18
Basis length: 145, queue length: 370, step degree: 15, num pairs: 76
Basis total mons: 352383, average length: 2430.228
Number of pair polynomials: 76, at 8816 column(s), 0.009[r]
Average length for reductees: 3367.74 [76], reductors: 214.24 [4368]
Symbolic reduction time: 0.029[r], column sort time: 0.000
76 + 4368 = 4444 rows / 9872 columns out of 15504 (63.674%)
Density: 2.7165% / 3.4774% (268.17/r), total: 1191749 (4.5MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
7.187[r] + 0.060 = 7.248[r] [38]
Number of unused reductors: 25
After ech memory: 132.4MB, max: 179.9MB
Num new polynomials: 38 (50.0%), min deg: 14 [15], av deg: 14.6
Degree counts: 14:15 15:23
Queue insertion time: 0.000
New max step: 18, time: 7.290
Step 18 time: 7.290, [7.297], mat/total: 15.350/15.510, mem: 132.4MB, max: 179.9MB

*******
STEP 19
Basis length: 183, queue length: 459, step degree: 15, num pairs: 61
Basis total mons: 510045, average length: 2787.131
Number of pair polynomials: 61, at 8927 column(s), 0.009[r]
Average length for reductees: 3912.44 [61], reductors: 254.08 [4682]
Symbolic reduction time: 0.036[r], column sort time: 0.000
61 + 4682 = 4743 rows / 10329 columns out of 15504 (66.622%)
Density: 2.9154% / 3.6967% (301.13/r), total: 1428255 (5.4MB)
Before ech memory: 132.4MB, max: 179.9MB
Row sort time: 0.000
9.582[r] + 0.197[r] = 9.779[r] [38]
Number of unused reductors: 22
After ech memory: 164.4MB, max: 179.9MB
Num new polynomials: 38 (62.3%), min deg: 14 [13], av deg: 14.7
Degree counts: 14:13 15:25
Queue insertion time: 0.000
New max step: 19, time: 9.836[r]
Step 19 time: 9.835[r], [9.836], mat/total: 25.140/25.350, mem: 164.4MB, max: 179.9MB

*******
STEP 20
Basis length: 221, queue length: 573, step degree: 15, num pairs: 49
Basis total mons: 683687, average length: 3093.606
Number of pair polynomials: 49, at 9616 column(s), 0.008[r]
Average length for reductees: 4318.53 [49], reductors: 298.60 [5011]
Symbolic reduction time: 0.040, column sort time: 0.004[r]
49 + 5011 = 5060 rows / 10877 columns out of 15504 (70.156%)
Density: 3.1031% / 3.9225% (337.53/r), total: 1707879 (6.5MB)
Before ech memory: 164.4MB, max: 179.9MB
Row sort time: 0.000
11.249 + 0.060 = 11.309 [37]
Number of unused reductors: 39
After ech memory: 196.5MB (=max)
Num new polynomials: 37 (75.5%), min deg: 14 [1], av deg: 15.0
Degree counts: 14:1 15:36
Queue insertion time: 0.005[r]
New max step: 20, time: 11.380
Step 20 time: 11.380, [11.382], mat/total: 36.450/36.730, mem: 196.5MB (=max)

*******
STEP 21
Basis length: 258, queue length: 703, step degree: 15, num pairs: 5
Basis total mons: 862892, average length: 3344.543
Number of pair polynomials: 5, at 6735 column(s), 0.000
Average length for reductees: 3393.00 [5], reductors: 251.75 [2877]
Symbolic reduction time: 0.019, column sort time: 0.003[r]
5 + 2877 = 2882 rows / 8098 columns out of 15504 (52.232%)
Density: 3.1761% / 4.0054% (257.2/r), total: 741249 (2.8MB)
Before ech memory: 196.5MB (=max)
Row sort time: 0.000
0.399 + 0.000 = 0.399 [4]
Number of unused reductors: 40
After ech memory: 196.5MB (=max)
Num new polynomials: 4 (80.0%), min deg: 14 [3], av deg: 14.2
Degree counts: 14:3 15:1
Queue insertion time: 0.000
Step 21 time: 0.429, [0.439], mat/total: 36.850/37.159, mem: 196.5MB (=max)

*******
STEP 22
Basis length: 262, queue length: 715, step degree: 15, num pairs: 10
Basis total mons: 881217, average length: 3363.424
Number of pair polynomials: 10, at 8642 column(s), 0.003[r]
Average length for reductees: 4457.20 [10], reductors: 319.78 [4544]
Symbolic reduction time: 0.039, column sort time: 0.005[r]
10 + 4544 = 4554 rows / 10283 columns out of 15504 (66.325%)
Density: 3.1982% / 4.0211% (328.87/r), total: 1497660 (5.7MB)
Before ech memory: 196.5MB (=max)
Row sort time: 0.000
2.450 + 0.000 = 2.450 [8]
Number of unused reductors: 39
After ech memory: 196.5MB (=max)
Num new polynomials: 8 (80.0%), min deg: 14 [2], av deg: 14.8
Degree counts: 14:2 15:6
Queue insertion time: 0.000
Step 22 time: 2.510, [2.514], mat/total: 39.300/39.670, mem: 196.5MB (=max)

*******
STEP 23
Basis length: 270, queue length: 745, step degree: 15, num pairs: 10
Basis total mons: 919498, average length: 3405.548
Number of pair polynomials: 10, at 9439 column(s), 0.000
Average length for reductees: 4618.00 [10], reductors: 341.26 [4991]
Symbolic reduction time: 0.059[r], column sort time: 0.004[r]
10 + 4991 = 5001 rows / 10901 columns out of 15504 (70.311%)
Density: 3.209% / 4.0559% (349.81/r), total: 1749416 (6.7MB)
Before ech memory: 196.5MB (=max)
Row sort time: 0.000
2.628[r] + 0.000 = 2.628[r] [10]
Number of unused reductors: 45
After ech memory: 196.5MB (=max)
Num new polynomials: 10 (100.0%), min deg: 14 [1], av deg: 14.9
Degree counts: 14:1 15:9
Queue insertion time: 0.000
Step 23 time: 2.699[r], [2.700], mat/total: 41.930/42.370, mem: 196.5MB (=max)

*******
STEP 24
Basis length: 280, queue length: 781, step degree: 15, num pairs: 4
Basis total mons: 970574, average length: 3466.336
Number of pair polynomials: 4, at 8669 column(s), 0.000[r]
Average length for reductees: 4641.00 [4], reductors: 337.90 [4653]
Symbolic reduction time: 0.050, column sort time: 0.000
4 + 4653 = 4657 rows / 10458 columns out of 15504 (67.454%)
Density: 3.2664% / 4.0997% (341.6/r), total: 1590831 (6.1MB)
Before ech memory: 196.5MB (=max)
Row sort time: 0.000
0.967[r] + 0.000 = 0.969 [4]
Number of unused reductors: 11
After ech memory: 196.5MB (=max)
Num new polynomials: 4 (100.0%), min deg: 14 [1], av deg: 14.8
Degree counts: 14:1 15:3
Queue insertion time: 0.000
Step 24 time: 1.029[r], [1.029], mat/total: 42.900/43.400, mem: 196.5MB (=max)

*******
STEP 25
Basis length: 284, queue length: 797, step degree: 15, num pairs: 5
Basis total mons: 989855, average length: 3485.405
Number of pair polynomials: 5, at 8376 column(s), 0.000
Average length for reductees: 4343.00 [5], reductors: 331.41 [4137]
Symbolic reduction time: 0.039, column sort time: 0.004[r]
5 + 4137 = 4142 rows / 9811 columns out of 15504 (63.280%)
Density: 3.4273% / 4.2556% (336.25/r), total: 1392746 (5.3MB)
Before ech memory: 196.5MB (=max)
Row sort time: 0.000
0.929 + 0.000 = 0.929 [4]
Number of unused reductors: 17
After ech memory: 196.5MB (=max)
Num new polynomials: 4 (80.0%), min deg: 14 [2], av deg: 14.5
Degree counts: 14:2 15:2
Queue insertion time: 0.000
Step 25 time: 0.979, [0.987], mat/total: 43.830/44.379, mem: 228.5MB (=max)

*******
STEP 26
Basis length: 288, queue length: 811, step degree: 15, num pairs: 10
Basis total mons: 1008650, average length: 3502.257
Number of pair polynomials: 10, at 9237 column(s), 0.002[r]
Average length for reductees: 4516.00 [10], reductors: 356.77 [4978]
Symbolic reduction time: 0.049, column sort time: 0.003[r]
10 + 4978 = 4988 rows / 10911 columns out of 15504 (70.375%)
Density: 3.3462% / 4.2032% (365.1/r), total: 1821137 (6.9MB)
Before ech memory: 228.5MB (=max)
Row sort time: 0.000
2.389 + 0.000 = 2.389 [6]
Number of unused reductors: 49
After ech memory: 228.5MB (=max)
Num new polynomials: 6 (60.0%), min deg: 15 [6], av deg: 15.0
Degree counts: 15:6
Queue insertion time: 0.001[r]
Step 26 time: 2.464[r], [2.466], mat/total: 46.220/46.849, mem: 228.5MB (=max)

*******
STEP 27
Basis length: 294, queue length: 826, step degree: 16, num pairs: 563
Basis total mons: 1040822, average length: 3540.211
66 pairs eliminated
Number of pair polynomials: 497, at 14287 column(s), 0.080
Average length for reductees: 4465.85 [497], reductors: 389.29 [8675]
Symbolic reduction time: 0.069, column sort time: 0.006[r]
497 + 8675 = 9172 rows / 15270 columns out of 20349 (75.041%)
Density: 3.996% / 4.9795% (610.18/r), total: 5596593 (21.3MB)
Before ech memory: 228.5MB (=max)
Row sort time: 0.000
199.930 + 1.129 = 201.060 [117]
Number of unused reductors: 12
After ech memory: 340.1MB, max: 368.8MB
Num new polynomials: 117 (23.5%), min deg: 14 [1], av deg: 15.2
Degree counts: 14:1 15:90 16:26
Queue insertion time: 0.019
New max step: 27, time: 201.240
Step 27 time: 201.240, [201.303], mat/total: 247.280/248.090, mem: 340.1MB, max: 368.8MB

*******
STEP 28
Basis length: 411, queue length: 750, step degree: 15, num pairs: 5
Basis total mons: 1668815, average length: 4060.377
Number of pair polynomials: 5, at 9014 column(s), 0.002[r]
Average length for reductees: 4679.40 [5], reductors: 391.17 [4816]
Symbolic reduction time: 0.059[r], column sort time: 0.000
5 + 4816 = 4821 rows / 10675 columns out of 15504 (68.853%)
Density: 3.706% / 4.5682% (395.62/r), total: 1907263 (7.3MB)
Before ech memory: 340.1MB, max: 368.8MB
Row sort time: 0.000
1.519[r] + 0.000 = 1.519[r] [1]
Number of unused reductors: 52
After ech memory: 340.1MB, max: 368.8MB
Num new polynomials: 1 (20.0%), min deg: 14 [1], av deg: 14.0
Degree counts: 14:1
Queue insertion time: 0.000
Step 28 time: 1.588[r], [1.588], mat/total: 248.800/249.679, mem: 340.1MB, max: 368.8MB

*******
STEP 29
Basis length: 412, queue length: 750, step degree: 15, num pairs: 5
Basis total mons: 1673548, average length: 4062.010
Number of pair polynomials: 5, at 9122 column(s), 0.000
Average length for reductees: 4733.00 [5], reductors: 394.69 [5039]
Symbolic reduction time: 0.067[r], column sort time: 0.000
5 + 5039 = 5044 rows / 10944 columns out of 15504 (70.588%)
Density: 3.6458% / 4.5213% (398.99/r), total: 2012519 (7.7MB)
Before ech memory: 340.1MB, max: 368.8MB
Row sort time: 0.000[r]
1.680 + 0.000 = 1.680 [4]
Number of unused reductors: 29
After ech memory: 340.1MB, max: 368.8MB
Num new polynomials: 4 (80.0%), min deg: 14 [1], av deg: 14.8
Degree counts: 14:1 15:3
Queue insertion time: 0.000[r]
Step 29 time: 1.766[r], [1.767], mat/total: 250.490/251.450, mem: 340.1MB, max: 368.8MB

*******
STEP 30
Basis length: 416, queue length: 763, step degree: 15, num pairs: 5
Basis total mons: 1693826, average length: 4071.697
Number of pair polynomials: 5, at 9358 column(s), 0.000
Average length for reductees: 4828.00 [5], reductors: 411.79 [5154]
Symbolic reduction time: 0.069, column sort time: 0.005[r]
5 + 5154 = 5159 rows / 11106 columns out of 15504 (71.633%)
Density: 3.7463% / 4.6369% (416.07/r), total: 2146482 (8.2MB)
Before ech memory: 340.1MB, max: 368.8MB
Row sort time: 0.000
1.750 + 0.000 = 1.750 [5]
Number of unused reductors: 21
After ech memory: 340.1MB, max: 368.8MB
Num new polynomials: 5 (100.0%), min deg: 15 [5], av deg: 15.0
Degree counts: 15:5
Queue insertion time: 0.000
Step 30 time: 1.839, [1.843], mat/total: 252.250/253.289, mem: 340.1MB, max: 368.8MB

*******
STEP 31
Basis length: 421, queue length: 783, step degree: 16, num pairs: 407
Basis total mons: 1719893, average length: 4085.257
1 pair eliminated
Number of pair polynomials: 406, at 13785 column(s), 0.089[r]
Average length for reductees: 5284.87 [406], reductors: 505.54 [8880]
Symbolic reduction time: 0.109, column sort time: 0.000
406 + 8880 = 9286 rows / 15561 columns out of 20349 (76.471%)
Density: 4.5916% / 5.688% (714.5/r), total: 6634872 (25.3MB)
Before ech memory: 340.1MB, max: 368.8MB
Row sort time: 0.001[r]
281.809 + 1.914[r] = 283.730 [114]
Number of unused reductors: 17
After ech memory: 479.7MB, max: 485.1MB
Num new polynomials: 114 (28.1%), min deg: 14 [4], av deg: 15.2
Degree counts: 14:4 15:84 16:26
Queue insertion time: 0.019
New max step: 31, time: 283.960
Step 31 time: 283.960, [284.037], mat/total: 535.990/537.250, mem: 479.7MB, max: 485.1MB

*******
STEP 32
Basis length: 535, queue length: 847, step degree: 15, num pairs: 20
Basis total mons: 2368863, average length: 4427.781
Number of pair polynomials: 20, at 9906 column(s), 0.006[r]
Average length for reductees: 4914.65 [20], reductors: 465.03 [5424]
Symbolic reduction time: 0.079[r], column sort time: 0.000
20 + 5424 = 5444 rows / 11532 columns out of 15504 (74.381%)
Density: 4.1743% / 5.106% (481.38/r), total: 2620637 (10.0MB)
Before ech memory: 479.7MB, max: 485.1MB
Row sort time: 0.001[r]
9.069 + 0.000 = 9.069 [4]
Number of unused reductors: 53
After ech memory: 479.7MB, max: 485.1MB
Num new polynomials: 4 (20.0%), min deg: 14 [1], av deg: 14.8
Degree counts: 14:1 15:3
Queue insertion time: 0.000
Step 32 time: 9.169, [9.174], mat/total: 545.070/546.419, mem: 479.7MB, max: 485.1MB

*******
STEP 33
Basis length: 539, queue length: 847, step degree: 15, num pairs: 5
Basis total mons: 2389423, average length: 4433.067
Number of pair polynomials: 5, at 9627 column(s), 0.001[r]
Average length for reductees: 4996.00 [5], reductors: 468.93 [5462]
Symbolic reduction time: 0.080, column sort time: 0.005[r]
5 + 5462 = 5467 rows / 11579 columns out of 15504 (74.684%)
Density: 4.0856% / 5.0191% (473.08/r), total: 2586302 (9.9MB)
Before ech memory: 479.7MB, max: 485.1MB
Row sort time: 0.000
2.250 + 0.000[r] = 2.255[r] [1]
Number of unused reductors: 18
After ech memory: 479.7MB, max: 485.1MB
Num new polynomials: 1 (20.0%), min deg: 15 [1], av deg: 15.0
Degree counts: 15:1
Queue insertion time: 0.000
Step 33 time: 2.352[r], [2.353], mat/total: 547.330/548.779, mem: 479.7MB, max: 485.1MB

*******
STEP 34
Basis length: 540, queue length: 847, step degree: 16, num pairs: 365
Basis total mons: 2395232, average length: 4435.615
3 pairs eliminated
Number of pair polynomials: 362, at 14238 column(s), 0.088[r]
Average length for reductees: 5643.13 [362], reductors: 592.74 [9527]
Symbolic reduction time: 0.139, column sort time: 0.006[r]
362 + 9527 = 9889 rows / 16242 columns out of 20349 (79.817%)
Density: 4.7877% / 5.9839% (777.62/r), total: 7689840 (29.3MB)
Before ech memory: 479.7MB, max: 485.1MB
Row sort time: 0.000
332.049 + 1.150 = 333.200 [81]
Number of unused reductors: 8
After ech memory: 558.6MB, max: 607.4MB
Num new polynomials: 81 (22.4%), min deg: 15 [52], av deg: 15.4
Degree counts: 15:52 16:29
Queue insertion time: 0.024[r]
New max step: 34, time: 333.470
Step 34 time: 333.470, [333.548], mat/total: 880.530/882.250, mem: 558.6MB, max: 607.4MB

*******
STEP 35
Basis length: 621, queue length: 810, step degree: 16, num pairs: 233
Basis total mons: 2886004, average length: 4647.349
Number of pair polynomials: 233, at 13668 column(s), 0.059
Average length for reductees: 6001.84 [233], reductors: 646.39 [9223]
Symbolic reduction time: 0.158[r], column sort time: 0.006[r]
233 + 9223 = 9456 rows / 15916 columns out of 20349 (78.215%)
Density: 4.8904% / 6.1144% (778.36/r), total: 7360128 (28.1MB)
Before ech memory: 558.6MB, max: 607.4MB
Row sort time: 0.000
259.769 + 0.987[r] = 260.759 [90]
Number of unused reductors: 15
After ech memory: 654.7MB (=max)
Num new polynomials: 90 (38.6%), min deg: 15 [48], av deg: 15.5
Degree counts: 15:48 16:42
Queue insertion time: 0.028[r]
Step 35 time: 261.019, [261.092], mat/total: 1141.290/1143.269, mem: 654.7MB (=max)

*******
STEP 36
Basis length: 711, queue length: 953, step degree: 16, num pairs: 196
Basis total mons: 3448888, average length: 4850.757
Number of pair polynomials: 196, at 13113 column(s), 0.050
Average length for reductees: 6145.40 [196], reductors: 718.64 [9539]
Symbolic reduction time: 0.181[r], column sort time: 0.000
196 + 9539 = 9735 rows / 16200 columns out of 20349 (79.611%)
Density: 5.1105% / 6.385% (827.9/r), total: 8059641 (30.7MB)
Before ech memory: 654.7MB (=max)
Row sort time: 0.002[r]
273.200 + 0.610 = 273.810 [59]
Number of unused reductors: 11
After ech memory: 686.7MB (=max)
Num new polynomials: 59 (30.1%), min deg: 15 [23], av deg: 15.6
Degree counts: 15:23 16:36
Queue insertion time: 0.019
Step 36 time: 274.080, [274.151], mat/total: 1415.110/1417.350, mem: 718.7MB (=max)

*******
STEP 37
Basis length: 770, queue length: 1007, step degree: 16, num pairs: 106
Basis total mons: 3822003, average length: 4963.640
Number of pair polynomials: 106, at 12812 column(s), 0.032[r]
Average length for reductees: 6124.49 [106], reductors: 746.10 [9041]
Symbolic reduction time: 0.200, column sort time: 0.006[r]
106 + 9041 = 9147 rows / 15673 columns out of 20349 (77.021%)
Density: 5.1581% / 6.4345% (808.42/r), total: 7394662 (28.2MB)
Before ech memory: 718.7MB (=max)
Row sort time: 0.000
155.159 + 0.230 = 155.389 [36]
Number of unused reductors: 2
After ech memory: 770.0MB, max: 801.7MB
Num new polynomials: 36 (34.0%), min deg: 15 [13], av deg: 15.6
Degree counts: 15:13 16:23
Queue insertion time: 0.009
Step 37 time: 155.649, [155.691], mat/total: 1570.500/1573.000, mem: 770.0MB, max: 801.7MB

*******
STEP 38
Basis length: 806, queue length: 1070, step degree: 16, num pairs: 54
Basis total mons: 4052086, average length: 5027.402
Number of pair polynomials: 54, at 12130 column(s), 0.018[r]
Average length for reductees: 6405.83 [54], reductors: 794.96 [9130]
Symbolic reduction time: 0.228[r], column sort time: 0.006[r]
54 + 9130 = 9184 rows / 15762 columns out of 20349 (77.458%)
Density: 5.2529% / 6.5513% (827.96/r), total: 7603942 (29.0MB)
Before ech memory: 770.0MB, max: 801.7MB
Row sort time: 0.000
102.509 + 0.241[r] = 102.759 [35]
Number of unused reductors: 1
After ech memory: 802.1MB (=max)
Num new polynomials: 35 (64.8%), min deg: 15 [6], av deg: 15.8
Degree counts: 15:6 16:29
Queue insertion time: 0.016[r]
Step 38 time: 103.040, [103.060], mat/total: 1673.260/1676.040, mem: 802.1MB (=max)

*******
STEP 39
Basis length: 841, queue length: 1177, step degree: 16, num pairs: 29
Basis total mons: 4279671, average length: 5088.788
Number of pair polynomials: 29, at 12247 column(s), 0.009
Average length for reductees: 6451.66 [29], reductors: 811.11 [9130]
Symbolic reduction time: 0.230, column sort time: 0.007[r]
29 + 9130 = 9159 rows / 15730 columns out of 20349 (77.301%)
Density: 5.27% / 6.5711% (828.97/r), total: 7592491 (29.0MB)
Before ech memory: 802.1MB (=max)
Row sort time: 0.000
56.309 + 0.069 = 56.379 [20]
Number of unused reductors: 2
After ech memory: 802.1MB (=max)
Num new polynomials: 20 (69.0%), min deg: 15 [4], av deg: 15.8
Degree counts: 15:4 16:16
Queue insertion time: 0.000
Step 39 time: 56.639, [56.661], mat/total: 1729.650/1732.680, mem: 802.1MB (=max)

*******
STEP 40
Basis length: 861, queue length: 1236, step degree: 16, num pairs: 19
Basis total mons: 4410073, average length: 5122.036
Number of pair polynomials: 19, at 11882 column(s), 0.006[r]
Average length for reductees: 6489.63 [19], reductors: 813.46 [9124]
Symbolic reduction time: 0.233[r], column sort time: 0.000
19 + 9124 = 9143 rows / 15709 columns out of 20349 (77.198%)
Density: 5.2534% / 6.5552% (825.26/r), total: 7545310 (28.8MB)
Before ech memory: 802.1MB (=max)
Row sort time: 0.000
37.529 + 0.000 = 37.529 [10]
Number of unused reductors: 1
After ech memory: 834.1MB (=max)
Num new polynomials: 10 (52.6%), min deg: 15 [2], av deg: 15.8
Degree counts: 15:2 16:8
Queue insertion time: 0.004[r]
Step 40 time: 37.789, [37.801], mat/total: 1767.180/1770.470, mem: 834.1MB (=max)

*******
STEP 41
Basis length: 871, queue length: 1261, step degree: 16, num pairs: 7
Basis total mons: 4475355, average length: 5138.180
Number of pair polynomials: 7, at 12212 column(s), 0.000
Average length for reductees: 6486.86 [7], reductors: 819.78 [9125]
Symbolic reduction time: 0.255[r], column sort time: 0.008[r]
7 + 9125 = 9132 rows / 15700 columns out of 20349 (77.154%)
Density: 5.2492% / 6.5523% (824.12/r), total: 7525894 (28.7MB)
Before ech memory: 834.1MB (=max)
Row sort time: 0.000
15.050 + 0.000 = 15.050 [2]
Number of unused reductors: 2
After ech memory: 834.1MB (=max)
Num new polynomials: 2 (28.6%), min deg: 16 [2], av deg: 16.0
Degree counts: 16:2
Queue insertion time: 0.002[r]
Step 41 time: 15.330, [15.334], mat/total: 1782.230/1785.800, mem: 834.1MB (=max)

*******
STEP 42
Basis length: 873, queue length: 1263, step degree: 17, num pairs: 897
Basis total mons: 4488430, average length: 5141.386
209 pairs eliminated
Number of pair polynomials: 688, at 17755 column(s), 0.189
Average length for reductees: 6307.61 [688], reductors: 822.72 [14617]
Symbolic reduction time: 0.350, column sort time: 0.009[r]
688 + 14617 = 15305 rows / 21236 columns out of 26334 (80.641%)
Density: 5.0352% / 6.6412% (1069.3/r), total: 16365386 (62.4MB)
Before ech memory: 866.1MB (=max)
Row sort time: 0.003[r]
1618.480 + 0.289 = 1618.769 [32]
Number of unused reductors: 3
After ech memory: 930.2MB (=max)
Num new polynomials: 32 (4.7%), min deg: 15 [3], av deg: 16.0
Degree counts: 15:3 16:25 17:4
Queue insertion time: 0.013[r]
New max step: 42, time: 1619.350
Step 42 time: 1619.349, [1619.741], mat/total: 3401.010/3405.150, mem: 930.2MB (=max)

*******
STEP 43
Basis length: 905, queue length: 501, step degree: 16, num pairs: 15
Basis total mons: 4697362, average length: 5190.455
Number of pair polynomials: 15, at 11838 column(s), 0.000
Average length for reductees: 6495.73 [15], reductors: 830.66 [9107]
Symbolic reduction time: 0.230, column sort time: 0.006[r]
15 + 9107 = 9122 rows / 15670 columns out of 20349 (77.006%)
Density: 5.3604% / 6.6647% (839.97/r), total: 7662240 (29.2MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.000
32.110 + 0.000 = 32.110 [1]
Number of unused reductors: 1
After ech memory: 930.2MB (=max)
Num new polynomials: 1 (6.7%), min deg: 16 [1], av deg: 16.0
Degree counts: 16:1
Queue insertion time: 0.000
Step 43 time: 32.349, [32.369], mat/total: 3433.120/3437.500, mem: 930.2MB (=max)

*******
STEP 44
Basis length: 906, queue length: 490, step degree: 17, num pairs: 113
Basis total mons: 4703905, average length: 5191.948
Number of pair polynomials: 113, at 16052 column(s), 0.039
Average length for reductees: 6526.83 [113], reductors: 852.15 [14620]
Symbolic reduction time: 0.388[r], column sort time: 0.009[r]
113 + 14620 = 14733 rows / 21217 columns out of 26334 (80.569%)
Density: 4.2215% / 5.814% (895.67/r), total: 13195938 (50.3MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.003[r]
308.739 + 0.150 = 308.889 [25]
Number of unused reductors: 4
After ech memory: 930.2MB (=max)
Num new polynomials: 25 (22.1%), min deg: 16 [20], av deg: 16.2
Degree counts: 16:20 17:5
Queue insertion time: 0.009
Step 44 time: 309.349, [309.422], mat/total: 3742.020/3746.849, mem: 930.2MB (=max)

*******
STEP 45
Basis length: 931, queue length: 474, step degree: 17, num pairs: 89
Basis total mons: 4867599, average length: 5228.356
Number of pair polynomials: 89, at 15038 column(s), 0.030
Average length for reductees: 6544.44 [89], reductors: 869.70 [14269]
Symbolic reduction time: 0.396[r], column sort time: 0.009[r]
89 + 14269 = 14358 rows / 20840 columns out of 26334 (79.137%)
Density: 4.342% / 5.9261% (904.87/r), total: 12992145 (49.6MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.000
259.509 + 0.000 = 259.509 [8]
Number of unused reductors: 3
After ech memory: 930.2MB (=max)
Num new polynomials: 8 (9.0%), min deg: 16 [8], av deg: 16.0
Degree counts: 16:8
Queue insertion time: 0.000
Step 45 time: 259.949, [260.023], mat/total: 4001.530/4006.799, mem: 930.2MB (=max)

*******
STEP 46
Basis length: 939, queue length: 420, step degree: 17, num pairs: 35
Basis total mons: 4919993, average length: 5239.609
Number of pair polynomials: 35, at 12771 column(s), 0.013[r]
Average length for reductees: 6548.14 [35], reductors: 868.04 [12720]
Symbolic reduction time: 0.350, column sort time: 0.009[r]
35 + 12720 = 12755 rows / 19284 columns out of 26334 (73.229%)
Density: 4.5822% / 6.1094% (883.63/r), total: 11270700 (43.0MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.000
98.990 + 0.000 = 98.990 [3]
Number of unused reductors: 22
After ech memory: 930.2MB (=max)
Num new polynomials: 3 (8.6%), min deg: 16 [3], av deg: 16.0
Degree counts: 16:3
Queue insertion time: 0.000
Step 46 time: 99.370, [99.392], mat/total: 4100.520/4106.170, mem: 930.2MB (=max)

*******
STEP 47
Basis length: 942, queue length: 397, step degree: 17, num pairs: 12
Basis total mons: 4939669, average length: 5243.810
Number of pair polynomials: 12, at 11941 column(s), 0.006[r]
Average length for reductees: 6558.67 [12], reductors: 875.24 [11349]
Symbolic reduction time: 0.320, column sort time: 0.007[r]
12 + 11349 = 11361 rows / 17910 columns out of 26334 (68.011%)
Density: 4.9204% / 6.354% (881.24/r), total: 10011750 (38.2MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.000
37.010 + 0.000 = 37.010 [0]
Number of unused reductors: 43
After ech memory: 930.2MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 47 time: 37.349, [37.362], mat/total: 4137.530/4143.519, mem: 930.2MB (=max)

*******
STEP 48
Basis length: 942, queue length: 385, step degree: 18, num pairs: 184
Basis total mons: 4939669, average length: 5243.810
173 pairs eliminated
Number of pair polynomials: 11, at 15254 column(s), 0.006[r]
Average length for reductees: 6532.27 [11], reductors: 851.02 [15908]
Symbolic reduction time: 0.439, column sort time: 0.009[r]
11 + 15908 = 15919 rows / 22469 columns out of 33649 (66.775%)
Density: 3.805% / 5.4361% (854.95/r), total: 13609892 (51.9MB)
Before ech memory: 930.2MB (=max)
Row sort time: 0.000
47.770 + 0.000 = 47.770 [0]
Number of unused reductors: 88
After ech memory: 930.2MB (=max)
No new polynomials
Queue insertion time: 0.000
Step 48 time: 48.230, [48.245], mat/total: 4185.300/4191.750, mem: 930.2MB (=max)

*******
STEP 49
Basis length: 942, queue length: 201, step degree: 19, num pairs: 114
Basis total mons: 4939669, average length: 5243.810
114 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 50
Basis length: 942, queue length: 87, step degree: 20, num pairs: 60
Basis total mons: 4939669, average length: 5243.810
60 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 51
Basis length: 942, queue length: 27, step degree: 21, num pairs: 22
Basis total mons: 4939669, average length: 5243.810
22 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 52
Basis length: 942, queue length: 5, step degree: 22, num pairs: 3
Basis total mons: 4939669, average length: 5243.810
3 pairs eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 53
Basis length: 942, queue length: 2, step degree: 23, num pairs: 1
Basis total mons: 4939669, average length: 5243.810
1 pair eliminated
No pairs to reduce
Pair elimination time: 0.000

*******
STEP 54
Basis length: 942, queue length: 1, step degree: 24, num pairs: 1
Basis total mons: 4939669, average length: 5243.810
1 pair eliminated
No pairs to reduce
Pair elimination time: 0.000

Reduce 942 final polynomial(s) by 942
66 redundant polynomial(s) removed; time: 0.000[r]
Interreduce 803 (out of range [0 .. 941] = 942) polynomial(s)
Symbolic reduction time: 0.079
Column sort time: 0.000
803 + 5505 = 6308 rows / 12869 columns
Density: 6.6808% / 7.8402% (859.75/r), total: 5423283 (20.7MB)
Row sort time: 0.000
13.819 + 0.008[r] = 13.829 [803]
Number of unused reductors: 55
Total reduction time: 14.819
Reduction time: 15.039
Final number of polynomials: 876

Final basis length: 803
Number of pairs: 3428
Max step: 42, time: 1619.350
Max num entries matrix: 15919 by 22469
Max num rows matrix: 15919 by 22469
Approx mat cost: 3.98699e+10, sym red cost: 1.90767e+08
Total pair setup time: 0.860
Total symbolic reduction time: 5.120
Total column sort time: 0.240
Total row sort time: 0.070
Total matrix time: 4185.300
Total new polys time: 0.050
Total queue update time: 0.180
Total Faugere F4 time: 4207.139, real time: 4208.249
Time: 4207.140
dregs = [ 9, 11, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 15, 15, 16, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 16, 17, 17, 17, 17, 18, 19, 20, 21, 22, 23, 24 ]
4.35user 0.78system 1:11:53elapsed 0%CPU (0avgtext+0avgdata 230112maxresident)k
0inputs+7880outputs (0major+97358minor)pagefaults 0swaps