Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 661044219] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1784 geometric_solution 5.46168787 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -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 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 1.342504679358 0.491827327802 2 0 0 3 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 0 0 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 1 0 -1 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 0.602318802261 0.638249116156 1 4 3 5 0132 0132 3201 0132 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 -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 0.101147028350 1.163114489082 2 5 1 4 2310 0132 0132 2310 0 0 0 0 0 -1 1 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 1 -1 0 0 0 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 0.101147028350 1.163114489082 3 2 6 6 3201 0132 3201 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 -1 0 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 0.258003323203 0.388054237720 5 3 2 5 3201 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 -0.074205523191 0.853307512853 4 6 4 6 2310 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 -1 0 1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.291136650715 0.692032959996 ==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' : negation(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' : 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_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 492946157676128345/397952292454493243*c_0101_6^24 + 4537518439443217588/397952292454493243*c_0101_6^22 - 22366414858556925721/397952292454493243*c_0101_6^20 + 73980068660154625660/397952292454493243*c_0101_6^18 - 165897108889999028641/397952292454493243*c_0101_6^16 + 249801682364289370421/397952292454493243*c_0101_6^14 - 246357026963886751628/397952292454493243*c_0101_6^12 + 152968257716589006970/397952292454493243*c_0101_6^10 - 65965002225559778030/397952292454493243*c_0101_6^8 + 14792530309490140257/397952292454493243*c_0101_6^6 + 24030057137565084461/397952292454493243*c_0101_6^4 - 14632549946069580205/397952292454493243*c_0101_6^2 - 2486916670589697175/397952292454493243, c_0011_0 - 1, c_0011_3 - 35460959204091925/397952292454493243*c_0101_6^24 + 343161336603447290/397952292454493243*c_0101_6^22 - 1756023049358881698/397952292454493243*c_0101_6^20 + 6019016723834172346/397952292454493243*c_0101_6^18 - 14169149278384732485/397952292454493243*c_0101_6^16 + 22789156137421985605/397952292454493243*c_0101_6^14 - 24747694598842141285/397952292454493243*c_0101_6^12 + 18099381708303246154/397952292454493243*c_0101_6^10 - 10121296205188608310/397952292454493243*c_0101_6^8 + 4964777962310684828/397952292454493243*c_0101_6^6 - 53176912084922347/397952292454493243*c_0101_6^4 - 915169545836923537/397952292454493243*c_0101_6^2 - 494257323486137672/397952292454493243, c_0011_6 - 35163134879614755/397952292454493243*c_0101_6^24 + 277345254909743957/397952292454493243*c_0101_6^22 - 1210850113785940566/397952292454493243*c_0101_6^20 + 3518658937783973413/397952292454493243*c_0101_6^18 - 6428664588831346159/397952292454493243*c_0101_6^16 + 6896405066136329241/397952292454493243*c_0101_6^14 - 3209015702984421477/397952292454493243*c_0101_6^12 - 1081670503146392168/397952292454493243*c_0101_6^10 + 1825558820421049530/397952292454493243*c_0101_6^8 - 2541978953999532904/397952292454493243*c_0101_6^6 + 2257065480249058832/397952292454493243*c_0101_6^4 + 132587958745912810/397952292454493243*c_0101_6^2 + 323144742814408128/397952292454493243, c_0101_0 - 262825982823125075/397952292454493243*c_0101_6^25 + 2407941868208849700/397952292454493243*c_0101_6^23 - 11916650288605814073/397952292454493243*c_0101_6^21 + 39706767856353575334/397952292454493243*c_0101_6^19 - 90319777127273954331/397952292454493243*c_0101_6^17 + 140409930784580005422/397952292454493243*c_0101_6^15 - 148317557968927038830/397952292454493243*c_0101_6^13 + 107296697473577932325/397952292454493243*c_0101_6^11 - 60533432369929534312/397952292454493243*c_0101_6^9 + 25011291654585466659/397952292454493243*c_0101_6^7 + 2680838202351349030/397952292454493243*c_0101_6^5 - 4333902201273002185/397952292454493243*c_0101_6^3 - 1022289407417336681/397952292454493243*c_0101_6, c_0101_1 + 451480082614618120/397952292454493243*c_0101_6^25 - 4196515514706821808/397952292454493243*c_0101_6^23 + 20978792084006837160/397952292454493243*c_0101_6^21 - 70663884160626553681/397952292454493243*c_0101_6^19 + 163207497019440766414/397952292454493243*c_0101_6^17 - 259426208043333368477/397952292454493243*c_0101_6^15 + 284121649860042510514/397952292454493243*c_0101_6^13 - 218480399658351548822/397952292454493243*c_0101_6^11 + 134073547398976531090/397952292454493243*c_0101_6^9 - 64117735720289096762/397952292454493243*c_0101_6^7 + 6460584588162607640/397952292454493243*c_0101_6^5 + 3431961266296512180/397952292454493243*c_0101_6^3 + 2461926204312204626/397952292454493243*c_0101_6, c_0101_2 - 368621861539937675/397952292454493243*c_0101_6^25 + 3431990346177312790/397952292454493243*c_0101_6^23 - 17198359894320991823/397952292454493243*c_0101_6^21 + 58095853393136734629/397952292454493243*c_0101_6^19 - 134777329703407898062/397952292454493243*c_0101_6^17 + 215829053968040815138/397952292454493243*c_0101_6^15 - 239292279265987703443/397952292454493243*c_0101_6^13 + 187542946466228097510/397952292454493243*c_0101_6^11 - 117187613943581974702/397952292454493243*c_0101_6^9 + 56945124759940351670/397952292454493243*c_0101_6^7 - 7490247235927354313/397952292454493243*c_0101_6^5 - 2004609653288904998/397952292454493243*c_0101_6^3 - 1877372864303143330/397952292454493243*c_0101_6, c_0101_6^26 - 47/5*c_0101_6^24 + 237/5*c_0101_6^22 - 161*c_0101_6^20 + 376*c_0101_6^18 - 3031/5*c_0101_6^16 + 3377/5*c_0101_6^14 - 2642/5*c_0101_6^12 + 1627/5*c_0101_6^10 - 157*c_0101_6^8 + 96/5*c_0101_6^6 + 10*c_0101_6^4 + 26/5*c_0101_6^2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB