Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 2496989251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1559 geometric_solution 5.34451716 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 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 0.567108242697 0.289487254352 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -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 1.034056585561 0.424565059952 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577737759346 0.388005860066 5 4 2 1 0132 1023 0213 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 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 0.577737759346 0.388005860066 3 6 6 2 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762158485983 0.511041797424 3 5 2 5 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163327711463 1.356925438517 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.595462147220 0.509606266910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 50660/989*c_0101_6^8 - 2720688/989*c_0101_6^6 + 174376/43*c_0101_6^4 - 1247143/989*c_0101_6^2 - 183822/989, c_0011_0 - 1, c_0011_1 + 379/989*c_0101_6^8 - 20149/989*c_0101_6^6 + 831/43*c_0101_6^4 + 334/989*c_0101_6^2 - 1595/989, c_0011_3 - 658/989*c_0101_6^9 + 35300/989*c_0101_6^7 - 2181/43*c_0101_6^5 + 18506/989*c_0101_6^3 - 845/989*c_0101_6, c_0101_0 - 436/989*c_0101_6^9 + 23255/989*c_0101_6^7 - 1129/43*c_0101_6^5 + 1218/989*c_0101_6^3 + 2362/989*c_0101_6, c_0101_1 + 5/989*c_0101_6^8 - 151/989*c_0101_6^6 - 256/43*c_0101_6^4 + 7585/989*c_0101_6^2 - 1438/989, c_0101_4 + 327/989*c_0101_6^9 - 17194/989*c_0101_6^7 + 277/43*c_0101_6^5 + 9471/989*c_0101_6^3 - 2266/989*c_0101_6, c_0101_6^10 - 54*c_0101_6^8 + 95*c_0101_6^6 - 47*c_0101_6^4 + 3*c_0101_6^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11111531576/1745960155819*c_0101_6^10 + 553834516446/1745960155819*c_0101_6^8 - 229216178002/56321295349*c_0101_6^6 + 23376940542711/1745960155819*c_0101_6^4 - 9517194214905/1745960155819*c_0101_6^2 - 192431470312/1745960155819, c_0011_0 - 1, c_0011_1 + 7003652/165165089*c_0101_6^10 - 318831797/165165089*c_0101_6^8 + 3104424215/165165089*c_0101_6^6 - 1473479848/165165089*c_0101_6^4 + 1705650068/165165089*c_0101_6^2 - 426706323/165165089, c_0011_3 - 22428485/165165089*c_0101_6^11 + 1023636123/165165089*c_0101_6^9 - 10060630463/165165089*c_0101_6^7 + 5882258148/165165089*c_0101_6^5 - 5947284140/165165089*c_0101_6^3 + 1763312812/165165089*c_0101_6, c_0101_0 + 2071096/165165089*c_0101_6^11 - 93244605/165165089*c_0101_6^9 + 870599499/165165089*c_0101_6^7 + 30471615/165165089*c_0101_6^5 + 220841824/165165089*c_0101_6^3 + 254098562/165165089*c_0101_6, c_0101_1 - 4932556/165165089*c_0101_6^10 + 225587192/165165089*c_0101_6^8 - 2233824716/165165089*c_0101_6^6 + 1503951463/165165089*c_0101_6^4 - 1484808244/165165089*c_0101_6^2 + 680804885/165165089, c_0101_4 - 29432137/165165089*c_0101_6^11 + 1342467920/165165089*c_0101_6^9 - 13165054678/165165089*c_0101_6^7 + 7355737996/165165089*c_0101_6^5 - 7652934208/165165089*c_0101_6^3 + 2355184224/165165089*c_0101_6, c_0101_6^12 - 46*c_0101_6^10 + 465*c_0101_6^8 - 424*c_0101_6^6 + 363*c_0101_6^4 - 181*c_0101_6^2 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB