Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 3187417560] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s893 geometric_solution 5.63010861 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 1 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 1 0 -1 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 0.536465337894 0.713237944891 3 0 4 4 0132 0132 3012 0132 0 0 0 0 0 1 0 -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 -1 0 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 1.212920965165 1.104742160559 3 4 3 0 3012 1302 2310 0132 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039343012591 1.147036454281 1 2 5 2 0132 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.453055742876 0.533032813028 5 1 1 2 2310 1230 0132 2031 0 0 0 0 0 0 1 -1 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 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 0 0 0 0.826267497123 1.100050970217 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 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 -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 0.326280689290 0.744519188069 ==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_4']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0011_5, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1252240708816717/303490619193905*c_1001_0^14 + 7827168623058546/303490619193905*c_1001_0^13 - 18365105583220358/303490619193905*c_1001_0^12 + 371634146820446/5518011258071*c_1001_0^11 + 32903447890112224/303490619193905*c_1001_0^10 - 39412425627352247/303490619193905*c_1001_0^9 - 161790758245441604/303490619193905*c_1001_0^8 - 35066814299046225/60698123838781*c_1001_0^7 - 154860429520976469/303490619193905*c_1001_0^6 - 141012561870627666/303490619193905*c_1001_0^5 - 46269545569439961/303490619193905*c_1001_0^4 - 6686554936974391/60698123838781*c_1001_0^3 - 28887491347161454/303490619193905*c_1001_0^2 - 12550954025513583/303490619193905*c_1001_0 + 667785049404181/303490619193905, c_0011_0 - 1, c_0011_2 + 378643666432/5518011258071*c_1001_0^14 - 2244673507898/5518011258071*c_1001_0^13 + 4685724431247/5518011258071*c_1001_0^12 - 3704007464175/5518011258071*c_1001_0^11 - 13823104280445/5518011258071*c_1001_0^10 + 11926866756887/5518011258071*c_1001_0^9 + 51976805246144/5518011258071*c_1001_0^8 + 69160279167036/5518011258071*c_1001_0^7 + 52494631766429/5518011258071*c_1001_0^6 + 39598319509355/5518011258071*c_1001_0^5 + 6671377026552/5518011258071*c_1001_0^4 + 6213404625889/5518011258071*c_1001_0^3 + 14434370155206/5518011258071*c_1001_0^2 + 5792930937880/5518011258071*c_1001_0 + 3598052821362/5518011258071, c_0011_4 + 9013864/19843037*c_1001_0^14 - 58090115/19843037*c_1001_0^13 + 143794504/19843037*c_1001_0^12 - 176407035/19843037*c_1001_0^11 - 202340423/19843037*c_1001_0^10 + 329541516/19843037*c_1001_0^9 + 1075210239/19843037*c_1001_0^8 + 1055489254/19843037*c_1001_0^7 + 973714756/19843037*c_1001_0^6 + 953496680/19843037*c_1001_0^5 + 266881645/19843037*c_1001_0^4 + 279946044/19843037*c_1001_0^3 + 191179170/19843037*c_1001_0^2 + 52520235/19843037*c_1001_0 - 2718956/19843037, c_0011_5 - 3049937002199/5518011258071*c_1001_0^14 + 19796805611734/5518011258071*c_1001_0^13 - 48956284260638/5518011258071*c_1001_0^12 + 58005167489083/5518011258071*c_1001_0^11 + 75527953367499/5518011258071*c_1001_0^10 - 127044593488009/5518011258071*c_1001_0^9 - 371327858363936/5518011258071*c_1001_0^8 - 318601772023908/5518011258071*c_1001_0^7 - 241530795689356/5518011258071*c_1001_0^6 - 234268623657690/5518011258071*c_1001_0^5 - 5697566672319/5518011258071*c_1001_0^4 - 40000739050717/5518011258071*c_1001_0^3 - 61034809242934/5518011258071*c_1001_0^2 - 8376898371118/5518011258071*c_1001_0 + 7504370276995/5518011258071, c_0101_2 + 2678756312350/5518011258071*c_1001_0^14 - 16595487790178/5518011258071*c_1001_0^13 + 38196695511900/5518011258071*c_1001_0^12 - 40277212625521/5518011258071*c_1001_0^11 - 76951055730875/5518011258071*c_1001_0^10 + 87794007013719/5518011258071*c_1001_0^9 + 348786794453310/5518011258071*c_1001_0^8 + 384137324150256/5518011258071*c_1001_0^7 + 345045115696189/5518011258071*c_1001_0^6 + 324166142094425/5518011258071*c_1001_0^5 + 108619889533096/5518011258071*c_1001_0^4 + 66139938500879/5518011258071*c_1001_0^3 + 69155999685768/5518011258071*c_1001_0^2 + 16317607516001/5518011258071*c_1001_0 - 3696782547635/5518011258071, c_1001_0^15 - 6*c_1001_0^14 + 13*c_1001_0^13 - 12*c_1001_0^12 - 32*c_1001_0^11 + 27*c_1001_0^10 + 139*c_1001_0^9 + 169*c_1001_0^8 + 147*c_1001_0^7 + 132*c_1001_0^6 + 54*c_1001_0^5 + 26*c_1001_0^4 + 27*c_1001_0^3 + 13*c_1001_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB