Magma V2.19-8 Wed Aug 21 2013 01:09:01 on localhost [Seed = 3263486884] Type ? for help. Type -D to quit. Loading file "L14n43499__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43499 geometric_solution 12.49006602 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 2 1 0 1 0 -1 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558166059237 1.117318170989 0 4 6 5 0132 1023 0132 0132 0 0 1 2 0 0 0 0 -1 0 -1 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111425681780 1.031998663010 7 0 8 4 0132 0132 0132 1023 0 0 1 2 0 -1 0 1 1 0 -2 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558166059237 1.117318170989 9 5 10 0 0132 0132 0132 0132 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629008969383 0.509036440815 1 7 0 2 1023 0132 0132 1023 0 0 1 2 0 0 1 -1 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247539756181 0.541033847172 9 3 1 11 2103 0132 0132 0132 0 0 2 1 0 0 0 0 2 0 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823433138630 0.741325873503 10 8 7 1 0132 0132 0132 0132 0 0 2 2 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.103417359662 0.957827452323 2 4 11 6 0132 0132 0132 0132 0 0 2 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111425681780 1.031998663010 9 6 10 2 3120 0132 1023 0132 0 0 2 2 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580895983527 1.324220827793 3 12 5 8 0132 0132 2103 3120 2 0 2 1 0 0 0 0 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825099631711 1.101589836525 6 12 8 3 0132 1230 1023 0132 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426910995822 0.815866924292 12 12 5 7 3120 1023 0132 0132 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509043534958 0.704927069228 11 9 10 11 1023 0132 3012 3120 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665288339876 0.955236956864 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0110_4, c_1001_2, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 487/1863*c_1100_1^6 - 5588/1863*c_1100_1^5 + 23321/1863*c_1100_1^4 - 49697/1863*c_1100_1^3 + 63577/1863*c_1100_1^2 - 48422/1863*c_1100_1 + 7292/621, c_0011_0 - 1, c_0011_10 + 109/138*c_1100_1^6 - 979/138*c_1100_1^5 + 489/23*c_1100_1^4 - 1751/46*c_1100_1^3 + 5501/138*c_1100_1^2 - 3727/138*c_1100_1 + 1111/138, c_0011_11 + 7/138*c_1100_1^6 - 2/69*c_1100_1^5 - 53/23*c_1100_1^4 + 337/46*c_1100_1^3 - 815/69*c_1100_1^2 + 1247/138*c_1100_1 - 259/69, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 1/23*c_1100_1^6 + 11/46*c_1100_1^5 + 6/23*c_1100_1^4 - 59/23*c_1100_1^3 + 285/46*c_1100_1^2 - 142/23*c_1100_1 + 171/46, c_0101_12 - 29/46*c_1100_1^6 + 263/46*c_1100_1^5 - 396/23*c_1100_1^4 + 1371/46*c_1100_1^3 - 1353/46*c_1100_1^2 + 827/46*c_1100_1 - 223/46, c_0101_2 + 67/92*c_1100_1^6 - 305/46*c_1100_1^5 + 463/23*c_1100_1^4 - 3269/92*c_1100_1^3 + 1741/46*c_1100_1^2 - 2423/92*c_1100_1 + 419/46, c_0101_7 - 5/23*c_1100_1^6 + 39/23*c_1100_1^5 - 85/23*c_1100_1^4 + 119/23*c_1100_1^3 - 104/23*c_1100_1^2 + 95/23*c_1100_1 - 44/23, c_0110_4 - c_1100_1 + 1, c_1001_2 - 7/92*c_1100_1^6 + 25/46*c_1100_1^5 - 24/23*c_1100_1^4 + 185/92*c_1100_1^3 - 105/46*c_1100_1^2 + 179/92*c_1100_1 - 17/46, c_1100_0 + 7/92*c_1100_1^6 - 25/46*c_1100_1^5 + 24/23*c_1100_1^4 - 185/92*c_1100_1^3 + 105/46*c_1100_1^2 - 271/92*c_1100_1 + 63/46, c_1100_1^7 - 10*c_1100_1^6 + 36*c_1100_1^5 - 75*c_1100_1^4 + 98*c_1100_1^3 - 85*c_1100_1^2 + 46*c_1100_1 - 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB