Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 1865347949] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s417 geometric_solution 4.68611827 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 1.207557645989 0.696274475015 0 1 1 4 0132 1230 3012 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529072280839 0.477181856717 5 0 5 4 0132 0132 1023 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 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 0.998051177040 0.568771147128 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 1 -1 0 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 1 -2 1 0 0 -1 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020080995956 0.690840483227 3 2 0 1 0213 1302 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 -1 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 0.378506631239 0.358351396720 2 5 2 5 0132 1302 1023 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 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 0.581759466603 0.201870728781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 195389/88832*c_0101_5^8 + 812125/88832*c_0101_5^7 - 850941/88832*c_0101_5^6 + 451853/44416*c_0101_5^5 - 3294463/88832*c_0101_5^4 + 2349743/44416*c_0101_5^3 + 29725/88832*c_0101_5^2 - 3013375/44416*c_0101_5 + 3535391/88832, c_0011_0 - 1, c_0011_3 - 481/11104*c_0101_5^8 + 2305/11104*c_0101_5^7 - 3265/11104*c_0101_5^6 + 1249/5552*c_0101_5^5 - 9163/11104*c_0101_5^4 + 10107/5552*c_0101_5^3 - 6335/11104*c_0101_5^2 - 6747/5552*c_0101_5 + 9739/11104, c_0011_4 - 125/694*c_0101_5^8 + 511/694*c_0101_5^7 - 495/694*c_0101_5^6 + 251/347*c_0101_5^5 - 2097/694*c_0101_5^4 + 1341/347*c_0101_5^3 + 655/694*c_0101_5^2 - 1744/347*c_0101_5 + 977/694, c_0101_0 + 657/11104*c_0101_5^8 - 2225/11104*c_0101_5^7 + 1297/11104*c_0101_5^6 - 1025/5552*c_0101_5^5 + 6075/11104*c_0101_5^4 - 3867/5552*c_0101_5^3 + 527/11104*c_0101_5^2 + 7115/5552*c_0101_5 + 3365/11104, c_0101_2 + 439/1388*c_0101_5^8 - 1567/1388*c_0101_5^7 + 1211/1388*c_0101_5^6 - 987/694*c_0101_5^5 + 6493/1388*c_0101_5^4 - 3899/694*c_0101_5^3 - 1995/1388*c_0101_5^2 + 5145/694*c_0101_5 - 2393/1388, c_0101_5^9 - 4*c_0101_5^8 + 4*c_0101_5^7 - 5*c_0101_5^6 + 17*c_0101_5^5 - 23*c_0101_5^4 + c_0101_5^3 + 25*c_0101_5^2 - 13*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB