Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 4273955521] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s050 geometric_solution 3.59121346 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.747281682699 0.092570057083 0 0 2 2 0132 3201 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 -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 1.710361435786 0.430348289442 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.116424792245 0.226466755830 2 4 5 2 0132 0132 0132 1023 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 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 0.799412118160 0.414806547372 5 3 5 5 2031 0132 1302 3201 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 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 0.512854857975 0.498578757692 4 4 4 3 2031 2310 1302 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512854857975 0.498578757692 ==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_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_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_2']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1138929818702715/930349813476139*c_0110_4^12 - 484247644426219/132907116210877*c_0110_4^11 + 5003386797628451/930349813476139*c_0110_4^10 + 5748221555588231/930349813476139*c_0110_4^9 + 143349704308732086/930349813476139*c_0110_4^8 - 74363063851125465/930349813476139*c_0110_4^7 - 41626679171762523/930349813476139*c_0110_4^6 - 605962597885271687/930349813476139*c_0110_4^5 - 2169602861314570909/930349813476139*c_0110_4^4 + 439894444325896635/930349813476139*c_0110_4^3 + 1944525765640361137/930349813476139*c_0110_4^2 + 194368830746677221/930349813476139*c_0110_4 - 244610626283421533/930349813476139, c_0011_0 - 1, c_0011_2 - 19237382955253/132907116210877*c_0110_4^12 + 39548559696748/132907116210877*c_0110_4^11 - 102100061851018/132907116210877*c_0110_4^10 + 572748174252055/132907116210877*c_0110_4^9 - 362801378161773/132907116210877*c_0110_4^8 + 120933796219170/132907116210877*c_0110_4^7 - 663562017075396/132907116210877*c_0110_4^6 - 7404020231320791/132907116210877*c_0110_4^5 + 1246137053425579/132907116210877*c_0110_4^4 + 5323765742612953/132907116210877*c_0110_4^3 + 650592180345382/132907116210877*c_0110_4^2 - 231597350085175/132907116210877*c_0110_4 - 58126822140431/132907116210877, c_0101_0 + 3968370727816/132907116210877*c_0110_4^12 - 12457979661398/132907116210877*c_0110_4^11 + 28914955262446/132907116210877*c_0110_4^10 - 139576190504756/132907116210877*c_0110_4^9 + 198696530805467/132907116210877*c_0110_4^8 - 79841562050697/132907116210877*c_0110_4^7 + 164668199076521/132907116210877*c_0110_4^6 + 1372832623856431/132907116210877*c_0110_4^5 - 1930999361814703/132907116210877*c_0110_4^4 - 1254943619668188/132907116210877*c_0110_4^3 + 953767744485898/132907116210877*c_0110_4^2 + 436467785588277/132907116210877*c_0110_4 - 41788331246292/132907116210877, c_0101_1 + 20791668155816/132907116210877*c_0110_4^12 - 46551567148163/132907116210877*c_0110_4^11 + 116364241352841/132907116210877*c_0110_4^10 - 634488810126170/132907116210877*c_0110_4^9 + 493453066149574/132907116210877*c_0110_4^8 - 141476094974255/132907116210877*c_0110_4^7 + 672447893784980/132907116210877*c_0110_4^6 + 7919729113196753/132907116210877*c_0110_4^5 - 2922777460229845/132907116210877*c_0110_4^4 - 6111470586582321/132907116210877*c_0110_4^3 + 724540528331939/132907116210877*c_0110_4^2 + 766775181101595/132907116210877*c_0110_4 - 35264097510914/132907116210877, c_0101_3 + 4715771820112/132907116210877*c_0110_4^12 - 8771898022498/132907116210877*c_0110_4^11 + 23579071839637/132907116210877*c_0110_4^10 - 136211280108631/132907116210877*c_0110_4^9 + 62897956094583/132907116210877*c_0110_4^8 - 22700870667253/132907116210877*c_0110_4^7 + 156407743942856/132907116210877*c_0110_4^6 + 1863333161176753/132907116210877*c_0110_4^5 + 40902645118201/132907116210877*c_0110_4^4 - 1194314246314162/132907116210877*c_0110_4^3 - 371469941394753/132907116210877*c_0110_4^2 - 240726947043996/132907116210877*c_0110_4 + 23850992420362/132907116210877, c_0110_4^13 - 2*c_0110_4^12 + 5*c_0110_4^11 - 29*c_0110_4^10 + 16*c_0110_4^9 + c_0110_4^8 + 28*c_0110_4^7 + 390*c_0110_4^6 - 52*c_0110_4^5 - 351*c_0110_4^4 - 7*c_0110_4^3 + 58*c_0110_4^2 - 4*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB