Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 2084430083] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2995 geometric_solution 6.17412478 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960637855258 0.706085466523 0 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 1 -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 0 0 0 0 -1 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 0 0 0.532318144815 0.242979322394 2 0 2 6 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722064830652 0.780416996331 6 3 3 0 0132 1230 3012 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 0.976427434259 0.651273063586 4 6 0 4 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679461939541 0.809271757668 5 1 1 5 3201 0132 1023 2310 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 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 0.983532149801 0.733800887827 3 4 1 2 0132 0132 0132 1023 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 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 0.960637855258 0.706085466523 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), '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_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_1'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_2']})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 4264136264661798/173393084066047*c_0110_2^18 + 10932741638438140/173393084066047*c_0110_2^17 + 26126765382420989/173393084066047*c_0110_2^16 - 73946889785046853/173393084066047*c_0110_2^15 - 23891666859662339/173393084066047*c_0110_2^14 + 117650198457988558/173393084066047*c_0110_2^13 - 42710828092852149/173393084066047*c_0110_2^12 + 127028486646469761/173393084066047*c_0110_2^11 - 208142433780255052/173393084066047*c_0110_2^10 - 195057577338636696/173393084066047*c_0110_2^9 + 619809624379818499/173393084066047*c_0110_2^8 - 640017510217199113/173393084066047*c_0110_2^7 + 241534345522292873/173393084066047*c_0110_2^6 + 694917414403377359/173393084066047*c_0110_2^5 - 1170927496672480698/173393084066047*c_0110_2^4 + 360872913624455798/173393084066047*c_0110_2^3 + 406741924556289377/173393084066047*c_0110_2^2 - 280276324225147165/173393084066047*c_0110_2 + 43432245986880096/173393084066047, c_0011_0 - 1, c_0011_3 + 89088135061/107065812946*c_0110_2^18 - 242508929761/107065812946*c_0110_2^17 - 508483557681/107065812946*c_0110_2^16 + 806929624769/53532906473*c_0110_2^15 + 148657094308/53532906473*c_0110_2^14 - 1245677327625/53532906473*c_0110_2^13 + 538956193732/53532906473*c_0110_2^12 - 1343825983640/53532906473*c_0110_2^11 + 2391296453349/53532906473*c_0110_2^10 + 1678306432095/53532906473*c_0110_2^9 - 13089806933593/107065812946*c_0110_2^8 + 14458721523355/107065812946*c_0110_2^7 - 3257828247014/53532906473*c_0110_2^6 - 13492639725231/107065812946*c_0110_2^5 + 12687084675853/53532906473*c_0110_2^4 - 9546102614109/107065812946*c_0110_2^3 - 7942058888737/107065812946*c_0110_2^2 + 3222245677375/53532906473*c_0110_2 - 1127535487267/107065812946, c_0101_0 - 84822616747/107065812946*c_0110_2^18 + 206340845095/107065812946*c_0110_2^17 + 554178491641/107065812946*c_0110_2^16 - 715933841853/53532906473*c_0110_2^15 - 321157926022/53532906473*c_0110_2^14 + 1180605956410/53532906473*c_0110_2^13 - 371512045757/53532906473*c_0110_2^12 + 1275543781616/53532906473*c_0110_2^11 - 1913914755624/53532906473*c_0110_2^10 - 2266508599943/53532906473*c_0110_2^9 + 12491417583205/107065812946*c_0110_2^8 - 12219571096445/107065812946*c_0110_2^7 + 1873267939908/53532906473*c_0110_2^6 + 14774226289577/107065812946*c_0110_2^5 - 11456497379330/53532906473*c_0110_2^4 + 6005933380847/107065812946*c_0110_2^3 + 8365785681499/107065812946*c_0110_2^2 - 2590350776802/53532906473*c_0110_2 + 712420221137/107065812946, c_0101_1 + 40670004151/107065812946*c_0110_2^18 - 121813593313/107065812946*c_0110_2^17 - 204230403939/107065812946*c_0110_2^16 + 401523957931/53532906473*c_0110_2^15 - 18871561497/53532906473*c_0110_2^14 - 609671605474/53532906473*c_0110_2^13 + 368628397551/53532906473*c_0110_2^12 - 614760476336/53532906473*c_0110_2^11 + 1253543910203/53532906473*c_0110_2^10 + 507608186923/53532906473*c_0110_2^9 - 6484067313889/107065812946*c_0110_2^8 + 7793219415769/107065812946*c_0110_2^7 - 2080904940282/53532906473*c_0110_2^6 - 5659432448035/107065812946*c_0110_2^5 + 6581945411995/53532906473*c_0110_2^4 - 6621220783605/107065812946*c_0110_2^3 - 3436624039251/107065812946*c_0110_2^2 + 1931531123912/53532906473*c_0110_2 - 789030696839/107065812946, c_0101_3 + c_0110_2^2 - 1, c_0101_5 - 175352426831/107065812946*c_0110_2^18 + 463360202739/107065812946*c_0110_2^17 + 1038734651285/107065812946*c_0110_2^16 - 1559123023237/53532906473*c_0110_2^15 - 382347231752/53532906473*c_0110_2^14 + 2455353470960/53532906473*c_0110_2^13 - 1026661648796/53532906473*c_0110_2^12 + 2627446410986/53532906473*c_0110_2^11 - 4475508242431/53532906473*c_0110_2^10 - 3655609767996/53532906473*c_0110_2^9 + 25988521538001/107065812946*c_0110_2^8 - 27823501972219/107065812946*c_0110_2^7 + 5738032944151/53532906473*c_0110_2^6 + 27802021958049/107065812946*c_0110_2^5 - 24915657459795/53532906473*c_0110_2^4 + 17613723052879/107065812946*c_0110_2^3 + 16247786927543/107065812946*c_0110_2^2 - 6284664057626/53532906473*c_0110_2 + 2137152981123/107065812946, c_0110_2^19 - 3*c_0110_2^18 - 5*c_0110_2^17 + 20*c_0110_2^16 - 2*c_0110_2^15 - 30*c_0110_2^14 + 22*c_0110_2^13 - 34*c_0110_2^12 + 62*c_0110_2^11 + 24*c_0110_2^10 - 165*c_0110_2^9 + 213*c_0110_2^8 - 122*c_0110_2^7 - 137*c_0110_2^6 + 344*c_0110_2^5 - 203*c_0110_2^4 - 59*c_0110_2^3 + 106*c_0110_2^2 - 37*c_0110_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB