Magma V2.19-8 Wed Aug 21 2013 01:06:25 on localhost [Seed = 3330334219] Type ? for help. Type -D to quit. Loading file "L14n31966__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31966 geometric_solution 12.05948801 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 -1 0 1 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624960361292 0.999199827206 0 5 7 6 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 2 0 -2 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329255067034 0.877218224774 8 0 10 9 0132 0132 0132 0132 0 1 0 1 0 0 1 -1 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 1 -2 1 0 0 1 -1 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170227499333 0.665197840189 11 10 7 0 0132 0132 0213 0132 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 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 0.294980627030 0.750500080646 8 7 0 5 3012 0213 0132 0213 0 1 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 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 0.626160122897 0.845634055748 12 1 10 4 0132 0132 3120 0213 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546367854249 1.154146851603 9 11 1 10 0213 3120 0132 3120 0 1 1 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 1 -1 0 0 0 1 -1 1 0 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638939700282 1.410914996061 12 3 4 1 2031 0213 0213 0132 0 1 1 1 0 0 0 0 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 -8 -1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434451648343 0.763777393107 2 12 11 4 0132 0132 1230 1230 1 1 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661917874424 0.657933776400 6 11 2 12 0213 0213 0132 2103 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 0 0 0 0 0 1 -1 0 -1 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 1.638939700282 1.410914996061 6 3 5 2 3120 0132 3120 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 1 0 0 -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 -0.464334519429 0.978468670680 3 6 9 8 0132 3120 0213 3012 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 0 0 0 0 0 1 -1 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 -0.301727502320 1.640029042269 5 8 7 9 0132 0132 1302 2103 1 1 0 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748262293762 0.815365146424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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_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' : 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_10'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_8']), 'c_1010_8' : d['c_0101_1'], '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'], 'c_1100_12' : d['c_0011_4'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1421379763/820174250*c_1001_8^7 - 97463815377/13942962250*c_1001_8^6 + 114678538367/13942962250*c_1001_8^5 + 87369481501/13942962250*c_1001_8^4 - 81369434777/2788592450*c_1001_8^3 + 550030570323/13942962250*c_1001_8^2 - 219634127504/6971481125*c_1001_8 + 104910189003/6971481125, c_0011_0 - 1, c_0011_10 - 1734/8875*c_1001_8^7 + 12818/8875*c_1001_8^6 - 41733/8875*c_1001_8^5 + 83971/8875*c_1001_8^4 - 4453/355*c_1001_8^3 + 110013/8875*c_1001_8^2 - 70773/8875*c_1001_8 + 21756/8875, c_0011_4 + 238/355*c_1001_8^7 - 4059/1775*c_1001_8^6 + 2686/1775*c_1001_8^5 + 1954/355*c_1001_8^4 - 28234/1775*c_1001_8^3 + 39203/1775*c_1001_8^2 - 34738/1775*c_1001_8 + 16993/1775, c_0011_6 + 1343/8875*c_1001_8^7 - 5571/8875*c_1001_8^6 + 6531/8875*c_1001_8^5 - 1342/8875*c_1001_8^4 - 2182/1775*c_1001_8^3 + 24794/8875*c_1001_8^2 - 25574/8875*c_1001_8 + 12183/8875, c_0011_7 - 13362/8875*c_1001_8^7 + 81099/8875*c_1001_8^6 - 231319/8875*c_1001_8^5 + 403728/8875*c_1001_8^4 - 19393/355*c_1001_8^3 + 412334/8875*c_1001_8^2 - 226039/8875*c_1001_8 + 53833/8875, c_0011_9 - 3536/8875*c_1001_8^7 + 19372/8875*c_1001_8^6 - 53332/8875*c_1001_8^5 + 98759/8875*c_1001_8^4 - 5344/355*c_1001_8^3 + 132502/8875*c_1001_8^2 - 93767/8875*c_1001_8 + 43474/8875, c_0101_1 - 1, c_0101_10 + 4488/8875*c_1001_8^7 - 12681/8875*c_1001_8^6 + 12501/8875*c_1001_8^5 + 428/8875*c_1001_8^4 - 3801/1775*c_1001_8^3 + 34419/8875*c_1001_8^2 - 30449/8875*c_1001_8 + 9493/8875, c_0101_5 + 3451/8875*c_1001_8^7 - 13772/8875*c_1001_8^6 + 34142/8875*c_1001_8^5 - 58969/8875*c_1001_8^4 + 14116/1775*c_1001_8^3 - 58192/8875*c_1001_8^2 + 31857/8875*c_1001_8 - 8569/8875, c_1001_0 - 6154/8875*c_1001_8^7 + 30233/8875*c_1001_8^6 - 73498/8875*c_1001_8^5 + 121001/8875*c_1001_8^4 - 5909/355*c_1001_8^3 + 130078/8875*c_1001_8^2 - 76813/8875*c_1001_8 + 32686/8875, c_1001_1 + 7344/8875*c_1001_8^7 - 34938/8875*c_1001_8^6 + 80103/8875*c_1001_8^5 - 120011/8875*c_1001_8^4 + 5168/355*c_1001_8^3 - 94333/8875*c_1001_8^2 + 43568/8875*c_1001_8 - 6021/8875, c_1001_2 - 2108/8875*c_1001_8^7 + 13216/8875*c_1001_8^6 - 39771/8875*c_1001_8^5 + 75527/8875*c_1001_8^4 - 4038/355*c_1001_8^3 + 90306/8875*c_1001_8^2 - 59726/8875*c_1001_8 + 18722/8875, c_1001_8^8 - 100/17*c_1001_8^7 + 286/17*c_1001_8^6 - 540/17*c_1001_8^5 + 754/17*c_1001_8^4 - 794/17*c_1001_8^3 + 611/17*c_1001_8^2 - 330/17*c_1001_8 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB