Magma V2.19-8 Tue Aug 20 2013 23:39:15 on localhost [Seed = 2934491899] Type ? for help. Type -D to quit. Loading file "K11n54__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n54 geometric_solution 11.44007909 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 1 -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 0.227728940606 0.493507543748 0 5 6 5 0132 0132 0132 0213 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 -1 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 0.392395652694 0.897445328089 7 0 4 4 0132 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065027215361 1.169079789107 8 8 4 0 0132 1302 2310 0132 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 -1 0 1 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414368653793 0.693049588525 2 3 0 2 3201 3201 0132 0132 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 1 -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 0 0 0 0 0.374794963622 1.343698546794 7 1 9 1 1023 0132 0132 0213 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 0 0 0 0 0 0 1 -1 1 0 -2 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 0.392395652694 0.897445328089 7 10 10 1 2310 0132 0321 0132 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 -1 0 1 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 0.141385488905 1.103605827502 2 5 6 8 0132 1023 3201 3012 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 -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 0.418719791972 1.583447475778 3 11 7 3 0132 0132 1230 2031 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 -1 0 0 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 0.711337651422 0.841813317906 11 11 10 5 2103 1023 1230 0132 0 0 0 0 0 -1 1 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 2 -1 -1 -2 0 0 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302732595967 0.530486712561 11 6 6 9 3120 0132 0321 3012 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 -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 0.141385488905 1.103605827502 9 8 9 10 1023 0132 2103 3120 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 0 0 0 0 0 0 0 0 -2 0 2 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 0.188521905294 1.421975540495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_10'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_11'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1485757158831/1254571*c_1001_1^5 - 448822023738/1254571*c_1001_1^4 + 972623028572/1254571*c_1001_1^3 + 92761455323/1254571*c_1001_1^2 - 218788132834/1254571*c_1001_1 + 36829606342/1254571, c_0011_0 - 1, c_0011_10 - 1326699/26693*c_1001_1^5 - 1125036/26693*c_1001_1^4 + 285642/26693*c_1001_1^3 + 188601/26693*c_1001_1^2 - 78650/26693*c_1001_1 + 35594/26693, c_0011_11 + 360063/26693*c_1001_1^5 + 325446/26693*c_1001_1^4 - 68846/26693*c_1001_1^3 - 73194/26693*c_1001_1^2 + 18511/26693*c_1001_1 - 17528/26693, c_0011_4 + 246510/26693*c_1001_1^5 + 148698/26693*c_1001_1^4 - 79104/26693*c_1001_1^3 + 30981/26693*c_1001_1^2 + 23117/26693*c_1001_1 - 9703/26693, c_0101_0 + 966636/26693*c_1001_1^5 + 799590/26693*c_1001_1^4 - 216796/26693*c_1001_1^3 - 115407/26693*c_1001_1^2 + 60139/26693*c_1001_1 - 44759/26693, c_0101_1 - 360063/26693*c_1001_1^5 - 325446/26693*c_1001_1^4 + 68846/26693*c_1001_1^3 + 73194/26693*c_1001_1^2 - 18511/26693*c_1001_1 + 17528/26693, c_0101_10 - 1320660/26693*c_1001_1^5 - 892155/26693*c_1001_1^4 + 434407/26693*c_1001_1^3 + 171704/26693*c_1001_1^2 - 83433/26693*c_1001_1 + 33223/26693, c_0101_11 - 534204/26693*c_1001_1^5 - 455961/26693*c_1001_1^4 + 10108/26693*c_1001_1^3 + 53270/26693*c_1001_1^2 + 8264/26693*c_1001_1 + 1881/26693, c_0101_2 - 606573/26693*c_1001_1^5 - 474144/26693*c_1001_1^4 + 147950/26693*c_1001_1^3 + 42213/26693*c_1001_1^2 - 41628/26693*c_1001_1 + 27231/26693, c_0101_3 - 246510/26693*c_1001_1^5 - 148698/26693*c_1001_1^4 + 79104/26693*c_1001_1^3 - 30981/26693*c_1001_1^2 - 23117/26693*c_1001_1 + 9703/26693, c_0110_10 - 1134738/26693*c_1001_1^5 - 697224/26693*c_1001_1^4 + 306823/26693*c_1001_1^3 + 78586/26693*c_1001_1^2 - 64840/26693*c_1001_1 + 26741/26693, c_1001_1^6 + 1/3*c_1001_1^5 - 53/99*c_1001_1^4 - 2/99*c_1001_1^3 + 1/11*c_1001_1^2 - 4/99*c_1001_1 + 1/99 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.460 Total time: 1.679 seconds, Total memory usage: 32.09MB